Digitized by tine Internet Arcinive in 2008 witii funding from IVIicrosoft Corporation littp://www.arcliive.org/details/commentaryonhegeOOmctauoft T A COMMENTARY ON HEGEL'S LOGIC CAMBEIDGE UNIVEESITY PEESS Eontion: FETTEE LANE, E.G. C. F. CLAY, Manager anjinfautsl) : 100, PRINCES STREET Serlin: A. ASHER AXD CO. Utiojig: F. A. BROCKHAUS ^ttu gork: G. P. PUTXAM'S SONS fiombatj anH ffialrtitta : MACMILLAN AND CO., Ltd. All rights reserved f^s/c ^Y^A COMMENTARY ON HEGEL'S LOGTC BY JOHN McTAGGART ELLIS McTAGGART DOCTOR IN LETTERS, FELLOW AND LECTURER OF TRINITY COLLEGE IN CAMBRIDGE, FELLOW OF THE BRITISH ACADEMY Cambridge : at the University Press 1910 ^ (> b iM3 1' 2.7 H 3 Sr r^S S4J/£ AUTHOR STUDIES IN THE HEGELIAN DIALECTIC. 8s. STUDIES IN HEGELIAN COSMOLOGY. 8s. SOME DOGMAS OF RELIGION. 10s. M. net. PREFACE /CHAPTERS II, III, VIII, IX, and X of this book are ^^ based on articles which appeared in Mind (Oct. 1902; April, 1904; April and July, 1897; Jan. 1899; and April, 1900). In many cases, however, both the interpretation and the criticism as now published are materially different from the earlier versions. I am much indebted to my wife for her aid in reading this book in proof, and for many valuable suggestions, as also to Mr Bertrand Russell for his kindness in reading Chapter III, and for giving me much assistance in the treatment of the categories of Quantity. I owe much, too, to the criticisms and suggestions of the pupils to whom I have lectured on Hegel's philosophy. Trinity College, Cambridge. January^ 1910. TABLE OF CONTENTS CHAPTER I INTRODUCTION PAGE 1. Object of this book 1 2. Previous writers on the same subject ..... 1 3. Relative authority of the Greater Logic and the Encyclopaedia 2 4. Terminology adopted in this book 3 5. Errors of Hegel concerning the dialectic method. He exaggerates the objectivity of the dialectic process .... 5 6. And also its comprehensiveness ...... 6 7. Errors in particular transitions — sometimes caused by his failure to confine the process to the existent ... 7 8. Sometimes by his desire to include conceptions of importance in science .......... 8 9. Sometimes by confusion between categories and the concrete states after which they are named ..... 8 10. Errors in Studies in the Hegelian Dialectic (a) as to the tran- scendental character of the process 10 11. (6) As to the change in method in the later categories . . 11 12. The same continued 11 13. (c) As to the relation between a Synthesis and the next Thesis 12 CHAPTER II QUALITY 13 15 15 17 17 19 20 14. Divisions of Quality 15. /. Being. A. Being 16. B. Nothing 17. C. Becoming 18. Hegel's conception of Becoming does not involve change . 19. But the name suggests change, and is therefore misleading 20. Alterations in names of categories suggested . Vlll CONTENTS 21. II. Being Determinate. A. Being Beterniinate as Such (a) Being Determinate in General (6) Quality ........ (c) Something ........ Are the divisions of A. superfluous ? . Is the introduction of Pkirahty justified ? B. Finitiide. (a) Something and an Other (b) Determination, Modification, and Limit (c) Finitude The divisions within (&) are unjustified The Ought and the Barrier in Finitude . C. Infinity ........ (a) Infinity in General (6) Reciprocal Determination of the Finite and Infinite (c) Afiirmative Infinity ...... The treatment of Finitude and Infinity in the Encyclopaedia The same continued ///. Being for Self. A. Being for Self as Such, (a) Determinate and Being for Self .... Being for One ....... One. The divisions of J. are unjustified . The One and the Many, (a) The One in Itself . The One and the Void Many Ones Repulsion and Attraction, (a) Exclusion of the One The one One of Attraction ..... The Relation of Repulsion and Attraction . 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. 34. 35. 36. 37. 38. 39. 40. 41. 42. 43. 44. 45. 46. (0) B. (b) (c) C. (b) (c) Transition to Quantity Being PAGE 21 22 22 22 24 25 26 28 28 29 29 31 31 32 32 34 35 37 37 38 38 39 40 40 40 41 CHAPTER III QUANTITY 47. Divisions of Quantity 42 48. Hegel's knowledge of mathematics. The bearing of this ques- tion on the dialectic ........ 43 49. /. {Undivided) Quantity. A. Pure Quantity .... 45 50. B. Continuous and Discrete Magnitude 46 51. Defects of this category 47 52. C. Limitation of Quantity ....... 48 53. //. Quantum. A. Nximher ....... 49 54. Possibly all the Ones taken together are finite in number. Hegel ignores this possibility, but it does not affect his argument .......... 49 55. The relation of Quantum and Limit ..... 50 56. B. Extensive and Intensive Quantum, (a) Their Difference . 51 CONTENTS IX 57. (b) Identity/ of Extensive and Intensive Magnitude. Are these on a level, or is Intensive Magnitude higher ? 58. The latter view seems more probable 59. The instability of Quanta 60. (c) The Alteration of Quantum 61. C. The Quantitative Infinity, (a) Its Notion 62. {b) The Quantitative Infinite Progress 63. An objection discussed .... 64. (c) The Infinity of Quantum 65. Relations between Quality and Quantity . 66. ///. The Quantitative Ratio 67. A. The Direct Ratio . 68. B. The Inverse Ratio 69. C. The Ratio of Powers 70. The transition to C. is unjustifiable 71. And the whole of ///. is unjustifiable for more general reasons 72. Suggested reconstruction 73. The treatment of Quantity in the Encyclopaedia PAGE 52 54 55 57 58 60 61 62 62 63 64 64 65 65 66 68 70 CHAPTER IV MEASURE 74. Divisions of Measure .... . . 75. Criticism of the transition from Quantity 76. The same continued 77. Possible reasons for the error ...... 78. /. The Specific Quantity. A. The Specific Quantum 79. B. Specifying Measure, (a) The Rule .... 80. (6) The Specifying Measure ...... 81. Here a new conception of Measure is introduced illegitimately 82. (c) Relation of both Sides as Qualities .... 83. C. Being for Self in Measure ...... 84. //. Real Measure. A. The Relation of Stable Measures . 85. (a) Union of two Measures ...... 86. (Z>) Measure as a Series of Measure Relations 87. (c) Elective Ajfinity ........ 88. B. Nodal Line of Measure Relations. Here we return to the conception of Measure abandoned in /. B. {b) . 89. And do so by an illegitimate transition .... 90. C. The Measureless 91. ///. The Becoming of Essence. A. The Absolute Indifference 92. B. Indifference as Inverse Relation of its Factors 93. C. Transition to Essence 94. The treatment of Measure in the Encyclopaedia 71 72 73 74 75 76 77 78 79 80 80 81 81 82 83 84 85 86 87 88 89 CONTENTS CHAPTER V EHSENCE AS REFLECTION INTO ITSELF Of). !)<;. !)7. !)!». 100. 101. 102. 103. 104. lOf). 10(). 107. I OS. 10!). no. I li. 11-2. 1 1 1. 115. IKi. 117. 118. 11!). 1 -20. l-2\. l'2-2. 1:23. 124. 120. 1 -2(!. 1-27. 1-28. 1 -2;). 130. 131. DivisiniiH of EHsencc Tnuisitioii to Essence ....... 'Jlio n.inio Appearance may be misleading Wliat is meant by the immediacy of Appearance ? 'I'lio name Es.sencc is ambiguous y. tSliow. A. The Essential and Unessential . Is the retention of Plurality at this point justifiable ? The same continued Ci'iticism of the transition to the next category li. Show C. Reflection, (a) Positing Reflection .... (/>) E.vtenial Reflection ((■) Determining Reflection ...... //. The Essentialities or Determinations of Reflection. A Idintity Hotel's treatment of the Law of Identity IJut this Law is not specially connected with Hegel's category of TiliMitity ......... II. Difference, (a) Absohtte Di fere nee .... (/)) Varieti/ ......... Suggested alteration of argument Hegel's treatment of Qualities and Relations requires enlarge mont .......... llegors treatment of the Principle of the Identity of In discornibles (c) ()ppositio)i ........ (^riticisjn of the category of Opposition .... ('. Contradiction Suggested reconstruction of this category llogers treatment of the Law of E.xcluded Middle . ///. Orouuit A. Absolute Ground, (a) Fonn and Essence yb) Form and Matter ....... (c') Form and Content ....... B. Determined Ground, (a) Formal Ground (6) Real Ground The possibility of sophistry in Ground .... yc) Complete Ground C. Condition, (a) The Relatively Unconditioned . {b) The Absolutely Unconditioned i^c'^ Transition of the Fact into E.visfence .... Suixcostod rooonstruotion of Ground .... COXTENTS XI CHAPTER VI APPEARANCE 132. 133. 134. 135. 136. 137. 138. 139. 140. 141. 142. 143. 144. 145. 146. 147. 148. 149. 150. 151. 152. 153. 154. and Divisions of Appearance /. Existence A. The Thing and its Properties .... {a) The Thing in itself and Existence (b) Property (c) The Reciprocal Action of Things B. The Constitution of the Thing out of Matters C. The Dissolution of the Thing .... Criticism of the categories of Existence . //. Appearance. A. The Law of Appearance B. The World of Appearance and the World in itself C. The Dissolution of Appearance .... ///. Essential Relation. A. The Relation of Whole Parts . The same continued B. The Relation of Force and its Manifestation, (a Conditionedness of Force ..... (6) The Solicitation of Force (c) The Infinity of Force ..... Criticism of the divisions of 5. Suggested reconstruction C. The Relation of Inner and Outer Note on the Difference between the Greater Logic and the Encyclopaedia in the first two divisions of Essence Table of the categories according to the Greater Logic and the Encyclopaedia ........ Account of the differences The same continued ........ The PAGE 128 129 131 132 133 135 136 137 1,38 139 140 142 142 143 145 146 146 147 148 149 150 152 153 CHAPTER VII ACTUALITY 155. Divisions of Actuahty 156. /. The Absohiie. A. The Exposition of the Absolute 157. Criticism of the conception of the Absolute . 158. B. The Absolute Attribute 159. Criticism of this category 160. C. The Modus of the Absolute .... 155 156 157 159 160 160 Xll CONTENTS PAGE 161. //. Actuality 162 162. A. Contingency, or Formal Actuality, Possibility, and Necessity 162 163. The same continued 164 164. B. Relative Necessity, or Real Actuality, Possibility, and Necessity 165 165. C. Absolute Necessity . . . . . . . .167 166. ///. The Absolute Relation. A. The Relation of Substantiality 168 167. Suggested reconstruction of the argument by which Substance is reached 169 168. Hegel's remarks on the philosophy of Spinoza . . .170 169. B. The Relation of Causality, (a) Formal Causality . . 171 170. The transition to Formal Causality is not justifiable . . 172 171. (6) Determined Causality . . . . . . .173 172. Hegel unduly ignores the differences between Formal and Determined Causality 175 173. He attempts to remove one such difference by asserting the identity of Cause and Effect. Criticism of this . . 176 174. The same continued 177 175. The same continued 179 176. The treatment of Causality in the £'/iCj/c^o/9aeo?ia . . .180 177. The Infinite Series of Causes and Effects .... 180 178. (c) Action and Reaction ........ 181 179. C. Reciprocity .182 180. The infinity ascribed by Hegel to Reciprocity . . . 183 181. The treatment of Actuality in the Encyclopaedia . . . 184 CHAPTER VIII SUBJECTIVITY 182. Divisions of Subjectivity ...... 183. The significance of the nomenclature in Subjectivity 184. The same continued 185. Hegel's assertion that Freedom is the Truth of Necessity 186. /. The Notion. A. The Universal Notion 187. Suggested reconstruction of the argument 188. The same continued ....... 189. B. The Particidar Notion 190. The same continued 191. C. The Individual 192. //. The Judgment. A. The Judgment of Inherence, (a) The Positive Judgment . 187 189 190 191 193 194 195 196 197 198 198 CONTENTS Xlll 193. Transition to the next category 194. Criticism of the transition .... 195. (6) The Negative Judgment .... 196. (c) The Infinite Judgment .... 197. The same continued 198. B. The Judgment of Suhsumption . 199. The same continued 200. (a) The Singidar Judgment .... 201. (6) The Particular Judgment .... 202. Transition to the next category 203. (c) The Universal Judgment .... 204. C. The Judginent of Necessity 205. (a) The Categorical Judgment 206. {b) The Hypothetical Judgment 207. (c) The Disjunctive Judgment .... 208. Transition to the next category 209. D. The Judgment of the Notion, (a) The Assertoric Judgment 210. {b) The Problematic Judgment 211. (c) The Apodictic Judgment .... 212. Criticism of the Judgment of the Notion 213. The same continued 214. ///. The Syllogism. A. The Qualitative Syllogism, (a) First Figure ....... 215. The first defect found by Hegel in this category 216. The second defect 217. {b) Second Figure 218. (c) Third Figure 219. {d) Fourth Figure 220. Criticism of the Second and Third Figures 221. Suggested reconstruction .... 222. B. The Syllogism of Reflection, (a) The Syllogism of Allness 223. (6) The Syllogism of Induction 224. (c) The Syllogism of Analogy 225. Transition to the next category 226. Criticism of the Syllogism of Reflection . 227. C. The Syllogism of Necessity, (a) The Categorical Syllogism 228. {b) The Hypothetical Syllogism 229. (c) The Disjimctive Syllogism .... 230. The same continued 231. Hegel's conception of the Self-Diflferentiating Notion PAGE 200 201 202 202 203 205 206 208 208 210 211 213 213 214 215 217 217 218 218 218 220 221 222 224 224 225 225 226 228 228 229 230 231 232 234 236 236 237 238 XIV CONTENTS CHAPTER IX OBJECTIVITY PAGE 232. Divisions of Objectivity 241 233. Significance of the term Objectivity 242 234. Transition from Subjectivity 242 235. Proposed amendment of the transition ..... 243 236. /. Mechanism. A. The Mechanical Object .... 244 237. B. The Mechanical Process 246 238. .(a) The Formal Mechanical Process 247 239. (6) The Real Mechanical Process 247 240. (c) The Product of the Mechanical Process .... 249 241. C. The Absolute Mechanism, (a) The Centre . . . 250 242. The example given by Hegel is misleading .... 252 243. The transition to Chemism in the Encyclopaedia . . . 252 244. (b) The Lato 254 245. (c) Transition from Mechanism ...... 254 246. //. Chemism. A. The Chemical Object 255 247. B. The Chemical Process 255 248. Transition to the next category ...... 256 249. Criticism of this transition 256 250. C. Transition from Chemism ....... 257 251. Is there more than one Chemical Notion ? . . . . 258 252. III. Teleology 259 253. The same continued 260 254. The same continued 261 255. The terms End and Means are misleading .... 263 256. Are there more Ends than one 1 264 257. A. The Subjective End 265 258. B. The Means . . ■ 265 259. The first argument for the transition to the next category . 267 260. The second argument for the transition 268 261. C. The Realised End 269 CONTENTS XV CHAPTER X THE IDEA this inadequacy 262. Divisions of the Idea .... 263. Transition from Objectivity . 264. /. Life 265. Hegel's view that there are many Organisms 266. His view that the Body is an inadequate manifestation of the Seele 267. A. The Living Individual 268. B. The Life-Process 269. C. The Kind . 270. Criticism of this category 271. The inadequacy of the manifestation is shown in Propagation and Death . 272. Which also provide the escape from 273. The same continued 274. The same continued 275. IL The Idea of Cognition 276. The same continued 277. Criticism of this category 278. The same continued 279. A. The Idea of the True 280. The same continued 281. (a) Analytic Cognition, (b) Synthetic Cognition, Criticism of these categories 282. The transition to the Idea of the Good can be made without them 283. The transition further considered 284. B. The Idea of the Good 285. Criticism of this category 286. Hegel regards this category as higher than the Idea of the True 287. And as involving the complete goodness of the universe 288. Transition to the Absolute Idea 289. The same continued 290. ///. The Absolute Idea . 291. The same continued 292. The same continued 3Q3. The same continued 294. This is the final category. The proof of this 295. Is the Absolute Idea exemplified in any concrete state k to us ? 296. Conclusion now PAGE 272 272 274 275 276 277 279 280 •281 282 283 285 286 287 288 290 291 292 293 295 296 298 299 300 300 301 302 303 303 304 306 307 308 309 310 CHAPTER I INTRODUCTION 1. In this book I propose to give a critical account of the various transitions by which Hegel passes from the category of Being to the category of the Absolute Idea. I shall not describe or criticise the method which he employs, nor his applications of the results of the dialectic to the facts of experience. With these subjects I have dealt, to the best of my ability, in my Studies in the Hegelian Dialectic and Studies in Hegelian Cosmology. I hope that my present work may serve two purposes — that those students of Hegel who have read the Greater Logic may find it useful as a commentary, and that it may serve as an account of the Greater Logic for those who are prevented by want of time or ignorance of German from reading the original. 2. The dialectic process of the Logic is the one absolutely essential element in Hegel's system. If we accepted this and rejected everything else that Hegel has written, we should have a system of philosophy, not indeed absolutely complete, but stable so far as it reached, and reaching to conclusions of the highest importance. On the other hand, if we reject the dialectic process which leads to the Absolute Idea, all the rest of the system is destroyed, since Hegel depends entirely, in all the rest of the system, on the results obtained in the Logic. Yet the detail of the Logic occupies a very small part of the numerous commentaries and criticisms on Hegel's philo- sophy. They are almost entirely devoted to general discussions of the dialectic method, or to questions as to the application of the results of the Logic to the facts of experience. The M"^!. 1 2 CH. I. INTRODUCTION most elaborate of the expositions of Hegel's system — that which Kuno Fischer gives in his History of Philosophy — allows to the detail of the Logic less than one-ninth of its space. There are, however, two admirable accounts of the Logic, category by category — HegeVs Logic, by Professor Hibben of Princeton, and La Logique de Hegel, by the late M. Georges Noel, which is less known than its merits deserve. I owe much to these commentators, but my object is rather different from theirs. I propose, in my exposition, to give frequent references to the passages in Hegel's text on which I base my account, and to quote freely when necessary. When the meaning of the text is doubtful, I shall not only give the view which I think preferable, but shall discuss the claims of other interpretations. I shall also add a certain amount of criticism to my exposition. Professor Hibben follows the Encyclopaedia in his exposition, while M. Noel follows the Greater Logic^. I shall adopt the Greater Logic as my text, but shall note and discuss any point in which the EncyclojMedia differs from it. 3. The Greater Logic and the Encyclopaedia agree much more than they differ, but they do differ on variouS important points. Wlien this happens, the advantage is not always on the same side, but is, I think, more often on the side of the Encyclopaedia. But, whichever is the more correct, there is no doubt that the Greater Logic is much clearer. The Logic of the Encyclopaedia is excessively condensed. The treatment of the categories, as distinct from preliminary questions, is, in the Encyclopaedia, only one-fourth as long as it is in the Greater Logic. Some room is gained in the Encyclopaedia by the elimination of certain sub-divisions, and also by the omission ^ By the Greater Logic I mean the work published in 1812 — 1816. Hegel himself calls this simply the Loijic, but I use the adjective to distinguish it from the Logic which forms part of the Encyclopaedia. My references to the Greater Logic are to the pages of the complete edition of Hegel's works, in which the Greater Logic occupies Vols. 3, 4 and 5 (quoted as G. L. i., G. L. ii., G. L. iii.) published in 1833 — 1834. My references to the Encyclopaedia are to Sections, and in quoting from it I have generally, though not always, availed myself of Professor Wallace's valuable translation. When, in expounding the Greater Logic, I give references both to the Greater Logic and to the Encyclopaedia, the latter merely indicates that it is in this Section of the Encyclopaedia that the corresponding point is treated, and not that the treatment is the same as in the Greater Logic. CH. I. INTRODUCTION 3 of the notes on mathematics which fill a disproportionate space in the Greater Logic, but in spite of this the categories in the Encyclopaedia are in some parts of the process crowded so closely together, that the arguments for the transition from the one to the other almost disappear. With regard to the relative authority of the two Logics, as expressing Hegel's final views, nothing very decisive can be said. The last edition of the Logic of the Encyclopaedia published by Hegel appeared in 1830. In 1831 he published a second edition of the Doctrine of Being in the Greater Logic. His death prevented him from carrying this edition further. It would seem, therefore, as if the Greater Logic was the best authority for the Doctrine of Being, and the Encyclopaedia for the Doctrines of Essence and the Notion. But many of the points in the Doctrine of Being in which the first edition of the Greater Logic differs from the Encyclopaedia are repeated in the second edition. We can scarcely suppose that in each of these cases Hegel had abandoned by 1831 the view he held in 1830, and returned to the view he held in 1812. And thus it seems impossible to attach any superior authority to the second edition of the Greater Logic. But if, to the end, he regarded the changes in the Encyclopaedia as improvements, at any rate he cannot have regarded them as very important, since he did not alter the second edition of the Greater Logic to correspond with then. The actual language, however, of the Greater Logic has a much greater authority than much of the language of the Encyclopaedia. For every word of the Greater Logic was written and published by Hegel himself. But in the Encyclo- paedia a part of the supplementary matter added, with the title of Zusatz, to many of the Sections, is compiled from students' notes or recollections of what Hegel had said in his lectures ^ 4. A few points about terminology must be mentioned. The whole course of the dialectic forms one example of the dialectic rhythm, with Being as Thesis, Essence as Antithesis, and Notion as Synthesis. Each of these has again the same 1 Cp. the editor's Preface to the Logic of the Encyclopaedia in Vol. 6 of the Collected Works. 1—2 4 CH. I. INTRODUCTION moments of Thesis, Antithesis, and Synthesis within it, and so on till the final sub-divisions are reached, the process of division being carried much further in some parts of the dialectic than in others. Hegel has no special name for the system formed of a Thesis, Antithesis, and Synthesis. A name, however, is con- venient, and I propose to speak of such a system as a triad. Being, Essence, and Notion I shall call primary categories ; their immediate divisions {e.g. Quality, Quantity, and Measure) I shall call secondary, and so on with smaller sub-divisions. One difficulty of terminology arises in writing about Hegel from the fact that he uses so many terms as names of particular categories that none are left to be used more generally. For example, to what does the whole dialectic process apply ? According to one view, the subject-matter of the process is what is commonly called Being or Reality. According to another view it is what is commonly called Existence. But Hegel has already appropriated these names. Being and Existence are the names of particular categories in the process, while Reality, according to Hegel, is a term only applicable after a certain stage in the process has been reached. {G. L. i. 120; Enc. 91.) Again, after a few categories we reach the result, which persists through the rest of the process, that the subject-matter under consideration is a differentiated unity. It would be very convenient to have a name by which to designate these diffe- rentiations, irrespective of the category under which we were viewing them. But here, again, every name is already appro- priated. One, Thing, Part, Substance, Individual, Object — each of these is used by Hegel to indicate such a differentiation as seen under some one particular category. To find a name for more general use is not easy. To meet this difficulty so far as possible, I have always used a capital initial when a term indicates one of Hegel's categories, and a small initial when the term is applied more general ly^ I have distinguished in the same way between those of Hegel's categories which are named after concrete facts, and the concrete facts after which they are named — e.g. I have written Life when I meant Hegel's category, and life when I meant the biological state. CH. I. INTRODUCTION 5 5. With regard to the Logic as a whole, I believe, for reasons which I have explained elsewhere \ that the dialectic method used by Hegel is valid — that, if the categories do stand to one another in the relations in which he asserts them to stand, he is entitled to pass from one to another in the way in which he does pass. And I believe that in many cases this condition is fulfilled, and that therefore, in these cases, the actual transitions which he makes are justified. The points on which I should differ from Hegel are as follows. In the first place I think that he falls into serious errors in his attempts to apply the results gained by the Logic in the interpretation of particular concrete facts. In the second place I think that he did not in all respects completely understand the nature of that dialectic relation between ideas which he had discovered. And in the third place there seem to be certain errors which vitiate particular stages in the process, I have considered the first of these points elsewhere ^ With regard to the second there are two fundamental questions as to which I believe that Hegel to some extent misunderstood the nature of the dialectic process. I think that he exaggerated * both its objectivity and its comprehensiveness. By his exaggeration of its objectivity, I mean that he did not merely hold that the dialectic process conducted us to a valid result, and that the lower categories of the process were con- tained, so far as they were true, in the Absolute Idea which synthesised them. So much he was justified in holding, but he went further. There is no doubt, I think, that he held that if that chain of categories, which was given by him in the Logic, was correct at all, it was not only a valid way of reaching the Absolute Idea, but the only valid way. He would have held it to be a priori impossible that two valid chains of dialectic argument, each starting from the category of Being, should each lead up to the Absolute Idea, so that the goal could be attained equally well by following either of them. And he would also have rejected the possibility of alternative routes over smaller ^ Studies in the Hegelian Dialectic, Chapters I. to IV., but cp. below, Sections 10—13. 2 op. cit. Chapter VII. 6 CH. I. INTRODUCTION intervals — the possibility, e.g., of passing from the beginning of Quantity to the beginning of Essence by two alternative dialectic arguments. Now I do not assert that such alternative routes are to be found, but I cannot see that their possibility can be disproved. And, if there were such alternatives, I do not think that the dialectic process would lose its value or significance. In re- jecting the possibility of equally valid alternatives, it seems to me that Hegel exaggerated the objectivity of the process as expounded by himself. 6. His exaggeration of the comprehensiveness of the dialectic lies in the fact that, having secured, as he rightly believed, an absolute starting point for the dialectic process in the category of Being, he assumed that this was not only the absolute starting point of the dialectic, but of all philosophy. No preliminary discussion was required, except negative criticism designed to remove the errors of previous thinkers, and to prevent misunderstandings. Nothing in philosophy was logically prior to the dialectic process. Here again there seems to be an error. For example, what is the subject-matter to which the whole dialectic applies ? It is, I think, clear that Hegel regards it as applying to all reality, in the widest sense of the term. But, when we examine various stages of the process it becomes clear that he is only speaking of what is existent, and that his results do not apply, and were not meant to apply, to what is held by some philosophers to be real but not existent — for example, propositions, the terms of pro- positions, and possibilities^ The apparent inconsistency is removed if we hold, as I believe Ave should, that Hegel, like some later philosophers, held nothing to be real but the existent. I do not mean that he ever asserted this explicitly. Probably, indeed, the question was never definitely considered by him, if we may judge from the fact that his terminology affords no means of stating it. (Reality and Existence, as used by Hegel, refer, as was mentioned above, to particular stages of the dialectic.) But it seems to me that the view that nothing ^ I had not realised this distinction with suiBcient clearness when I wrote my Studies hi the Hegelian Dialectic, but what is said there is not inconsistent with my present view. Cp. Sections 17, 18, and 79 of that work. CH. I. INTRODUCTION 7 is real but the existent is one which harmonises with his general ] position, and that he would have asserted it if confronted with | the problem. But the view that nothing but the existent is real, whether right or wrong, is one which cannot be assumed without dis- cussion. It is a difficult and disputed point, and Hegel had no right to take a dialectic of existence as equivalent to a dialectic*' of reality until the question had been carefully considered.J Moreover, the absence of such consideration leaves Hegel's position, not only unjustified but also rather vague. Generally, as I have said, the categories seem clearly intended to apply to the existent only, but there are some steps in which he seems to change his position unconsciously, and to take the categories as applicable to some other reality in addition to the existent. There is another point on which preliminary discussion was needed and is not given. Hegel's arguments assume that, when a thing stands in any relation to another thing, the fact that it stands in that relation is one of its qualities. From this it follows that when the relation of one thing to another changes, there is a change in the qualities of-each of them, and therefore in the nature of each of them. Again, it follows that two things which stand in different relations to a third thing cannot have exactly similar natures, and on this a defence might be based for the doctrine of the Identity of Indiscernibles. This is a doctrine of the greatest importance, and by no means universally accepted. It is possible to conceive a dialectic process which should contain a proof of it, but, so far as I can see, Hegel's dialectic does not contain any such proof, direct or implied. In that case he had no right to use the doctrine in the dialectic unless it had been proved in some preliminary dis- cussion, and he does not give such a discussion. 7. Passing to the errors in certain particular transitions, there are some, I think, which cannot be traced to any general cause, but are simply isolated failures. But other errors appear to be due to certain general causes. In the first place some errors have, I believe, been caused by Hegel's failure to realise explicitly that his dialectic is a dialectic of the existent only, and by his treatment of some categories as applying also to 8 CH. I. INTRODTJCTION some non-existent reality. This is unjustifiable, for he would have no right to pass in this way from the smaller field to the more extensive, even if the more extensive field were in being. And, as I have said, it seems implied in his general treatment that there is no such wider field, but that existence is co-exten- sive with reality, in which case any attempt to apply the dialectic beyond existence is obviously mistaken. 8. Another general cause of error may be found in a desire to introduce into the dialectic process as many as possible of the conceptions which are fundamentally important in the various sciences. It is, doubtless, a fortunate circumstance when a con- ception which is important in this way does occupy a place among the categories of the dialectic. For then the dialectic will assure us that such a conception is neither completely valid of reality, nor completely devoid of validity — an important result. Moreover, its place in the dialectic process shows us how much, and in what respects, its validity falls short of the validity of the Absolute Idea, and whether it is more or less valid than those other conceptions which are also categories of the dialectic. And this also may be of much importance. But there is no reason to believe that this fortunate state of things will always occur. We have no right to anticipate that every category of the dialectic will be a conception of funda- mental importance in one or more of the particular sciences. Nor have we any right to anticipate that every conception of fundamental importance in a science will be a category of the dialectic. In several cases I think that Hegel has distorted the course of his argument, and made an invalid transition, moved by an unconscious desire to bring into the process some concep- tion of great scientific importance \ 9. This is connected with another source of error, which arises from Hegel's practice of designating many of his cate- gories by the names of concrete states which are known to us by empirical experience. Thus we find a category of Attraction 1 It has lately been objected to Hegel's treatment of Quantity that it does not include the conception of Series, which is of such great importance in mathematics. If the dialectic process can go from Being to the Absolute Idea without passing through the conception of Series, then the omission of that conception is no defect in the dialectic. But this truth is obscured by Hegel's anxiety to bring all important scientific conceptions into the dialectic process. CH. I. INTRODUCTION 9 and Repulsion, and categories of Force, Mechanism, Chemism, Life, and Cognition^. This practice does not necessarily involve any error in the dialectic process. For when Hegel names a category in this way, he does not suppose that he has deduced, by the pure thought of the dialectic, all the empirical details which can be determined with reference to the corresponding concrete state. He merely expresses his belief that the category is manifested - in a special manner by the concrete state whose name it bears. For example, in giving a category the name of Mechanism he does not assert that it is possible to determine by the dialectic process any of the laws of the finite science of Mechanics. All that the use of the name implies is that, when we perceive the existent in such a way that it appears^ to include bodies obeying the laws of Mechanics, then the category in question will be manifested with special clearness in the facts as they appear to us. There is thus nothing unjustifiable in the use of such a nomenclature, and it has the advantage of making the meaning of the category clearer, by informing us where we may look for clear examples of it. But in practice it turns out to be ex- tremely difficult to use such names without being led by them into error. There is, in the first place, the possibility of choosing a wrong name — of taking a concrete state which manifests the particular category less clearly than another state would, or which itself manifests more clearly some other category. But this is a mistake which, so far as I can see, Hegel never makes. But there is a second possibility. The concrete states which give their names to the categories contain, as has been said, much other content beside the categories in question. Hegel does not suppose that the dialectic process could help him to 1 The use of logical terms as names for the categories of Subjectivity is an example of the same practice, though in this case the conceptions are not borrowed from empirical knowledge. But, relatively to the dialectic process, they are concrete, for the logical processes, which give the names, have charac- teristics not to be found in the categories which they exemplify. Cp. Chapter VIII. 2 Such a perception would, of course, be held by Hegel to be more or less erroneous. Nothing really exists, according to his system, but Spirits. Bodies only appear to exist. 10 CH. I. INTRODUCTION deduce this other content. But in practice he sometimes con- fuses the two sides — the pure conception which he had deduced, and the remaining content which he had not. And thus he introduces into the dialectic process, in connection with certain categories, some characteristics illegitimately transferred from the concrete states after which they are named. In Judgment, in Syllogism, in Life, in Cognition, we find sub-divisions intro- duced and transitions made, which rest on characteristics which are found in the judgments and syllogisms of ordinary logic, in the life of biology, or in the cognition of psychology, but which have no justification as applied to the categories of the dialectic. These cases, of course, lend support to the theory, which I have discussed elsewhere \ that the dialectic process, while pro- fessing to be a process of pure thought, does, in fact, always rest on empirical elements illegitimately introduced. But the categories of the process which are named after concrete states are comparatively few, and it is not in all of them that an illegitimate element has been transferred to the category. In several of those cases where the illegitimate transference has taken place, it seems to me that the process, so far from being dependent on the transference, would have g A" (G. L. ii. 203). The only difference, he goes on to say, between Possibility and Identity, is that Possibility is only one side of the relation, while Identity is both. Possibility implies that there is something more — namely Actuality. It is " das Sollen der Totalitat der Form " {G. L. ii. 203). It might be thought that Identity extended further than Possibility. A four-angled triangle is not formally Possible, but it is true that a four-angled triangle is a four-angled triangle. But we must remember that Hegel's category of Identity, as we have seen, has a much narrower scope than the logical law of Identity. The category applies only to the existent, and, as nothing can exist which is not formally Possible, Identity can only be rightly applied in cases where Possibility can be applied also. 11—2 164 CH. VII. ACTUALITY 163. Hegel now asserts {G. L. ii. 204) that Possibility is in itself a contradiction, and therefore Impossibility. This is rather misleading. What he means, as he explains, is that Possibility is an Essence, a Substratum, which can only be if it is in relation to a Surface. Possibility taken without reference to an Actuality would be a contradiction, and so impossible. This is, no doubt, true, but it is only true in the same way that any other Substratum, in any of the previous categories of Essence, would be impossible without the corre- sponding Surface. Hegel's language suggests that Possibility passes into Impossibility as its contrary, which is not his meaning. Since the content of the Possible, he continues, '" is only a Possible, another which is the Opposite (Gegentheil) is just as Possible. A is A, \n the same way —A is —A" (G. L. ii. 204). Opposite is a rather ambiguous word. Hegel's example oi — A suggests that he means by Opposite a Material Contrary. But, as we saw in his treatment of the Law of Excluded Middle, he sometimes ignored the difference between not- J. and —A. If in this passage he meant by — ^ nothing more than not-^, his statement will be correct. If there is no internal contradiction in A, there can be none in not- J.. The assertion of noi-A is exactly equivalent to the denial of A. And if there is no internal contradiction in A when it is asserted there can be no internal contradiction in A when it is denied. Thus we reach the conception of the Contingent, "an Actual, which is at the same time determined as only Possible, whose Other or Opposite is also possible " {G. L. ii. 205). From the Contingent we proceed to the Necessary, as follows. The Contingent as such has no Ground. For the fact that it is Contingent means that its Opposite might have taken its place, and that there is no reason why it has not done so {G. L. ii. 205). But, again, it must have a Ground. The Substratum to which it has been referred is insufficient to explain it. For it is only its Possibility, and as the Opposite — which is not Actual, for they are incompatible — is equally Possible, some other explanation must be sought for the fact that the one Possible is Actual, while the other is not. We II. ACTUALITY 165 cannot, as we have seen, find this explanation within the Actual in question. We must therefore look for it outside. The Actual, taken as Contingent, is "no longer in and for itself, but has its true Reflection-into-self in Another, in other words, it has a Ground " ((?. L, ii. 206). So far Hegel's language is clear. But he adds a perplexing sentence. " Thus the Contingent has no Ground, because it is Contingent ; and just as much it has a Ground, because it is Contingent" {G. L. ii. 206). This, by itself, would suggest that it had a Ground and had not a Ground in the same sense, and that a contradiction arose here which would have to be transcended. But his previous argument, given in the last paragraph, makes it clear that he only means that the Con- tingent has not a Ground within itself, and that it has a Ground outside itself 164. In this way we reach Necessity. When the Actual has a Ground outside itself, it ceases to be Contingent, for that Ground determines why it exists, rather than its Opposite, which possessed the same Formal Possibility. And so Actuality and Possibility coincide. For, now that the Actual has its Ground, which determines why it exists rather than its Opposite, its Opposite is no longer Possible {G. L. ii. 206, 207). But this Possibility is no longer the Formal Possibility, which is always possessed equally by the two Opposites. It is the Possibility which is limited by the relations of the Actual to other things. Actuality and Formal Possibility can never coincide. With this reference to what is external, we pass over to B. Relative Necessity, or Real Actuality, Possibility and Necessity. {G. L. ii. 207.) Real Actuality is Actuality in relation to another. This relation to another is also Reflection-into-self. "The Thing is stable, but has its Reflection-into-self, its de- termined Essentiality, in something else stable" {G. L. ii. 208). In the same way, the Real Possibility of the Thing is in another Thing. " The Real Possibility of a fact is therefore the definitely existing (daseiende) multiplicity of circumstances which relate themselves to it" {G. L. ii. 209). 166 CH. VII. ACTUALITY But this Real Possibility is identical with Necessity. "What is Really Possible can no longer be anything else; under these conditions and circumstances nothing else can follow" (G. L. ii. 211). We have gone beyond the Formal Possibility which consists in the absence of internal contradiction, and now find the Possibility of a fact in the absence of any facts which are incompatible with it. But, if nothing is incompatible with its Actuality, it must be Actuals For otherwise it might either be Actual or might not, and so we should have gone back to the position that there can be an Actual with nothing to determine that it, rather than its Opposite, should be Actual. Thus a Real Possibility which does not completely determine Actuality is only imperfect. We may say that the circumstances of a certain enterprise leave it possible either that it should succeed or that it should not succeed. But then the circumstances known to us are only some of the total number. If a complete knowledge of all the circumstances revealed no impossibility of success, success would be certain. We may sum up Contingency and Relative Necessity by saying that in the first Formal Actuality and Formal Possibility were separate, that the contradiction which this involved led on to Necessity, and that Necessity is now seen to be identical with Real Actuality and Real Possibility. There are not two Necessities, a Formal and a Real, as there are two Possibilities and Actualities. The Necessity which falls within the division of Contingency is the transition to the next division, and is not Formal, but the same Real Necessity which, in the next division, is seen to be identical with Real Actuality and Possibility". But this Real Necessity is only a Relative Necessity. For when we ask why A is Necessary, the answer is that it has ^ It is, of course, equally true that if nothing is incompatible with its non- Actuality, it will not be Actual. Actuality has not any prerogative in this respect, such as was sometimes attributed to it in pre-Kantian philosophies. 2 Hegel certainly speaks (G. L. ii. 213, 215) as if the Formal Necessity of Contingency was different from the Eeal Necessity of Relative Necessity. But I think the only change he means is that, in the latter, Necessity is seen to coincide with Actuality and Possibility, which it did not in the former. And this coincidence comes about through a change in Actuality and Possibility (from Formal to Eeal), not from any change in Necessity. II. ACTUALITY 167 its Real Possibility in B, G, etc. It depends on these, and these are, so far as this relation goes, merely immediate. Thus ^'s Necessity depends on the mere fact of the existence of B, G, etc., and is so, in the last resort, Contingent. " The Really Necessary is a limited Actuality, which, on account of this limitation is also, from another point of view, a Contingent" {G. L. ii. 212). 165. This difficulty is removed for Hegel by the passage to G. Absolute Necessity. (G. L. ii. 213.) The nature of this category and the transition to it are extremely obscure. I am inclined to agree with Noel's interpretation (La Logique de Hegel, p. 79). The transition seems to consist in the fact that if we took all Existence as a whole it would form a Necessity which was not Contingent, but which had Contingency as an element within itself. It would not be Contingent, for it would have no Ground outside itself. But Contingency would be an element in it, because each part of it would be determined by other parts of it. Each part then would have its Ground outside itself, and, looked at separately, would be Contingent {G. L. ii. 213). Hegel's obscurity here seems to me to be due to the fact that the ideas of this triad are not really, as he supposes them to be, categories distinct from, and leading up to, the categories of Substantiality, Causality, and Reciprocity. The idea of Necessity, as used by Hegel here, is really the same as his category of Causality. The difficulty that the Relatively Necessary is Contingent, because of the immediacy of its external determinant, is really the same difficulty as that which produces the infinite series of Causes of Causes and Effects of Effects. And the only way to escape from it is the way in which Hegel does escape from it, when it recurs a second time under the head of Causation — by means of Reciprocity. And he gets very close to this solution here, when he has recourse to the conception of the system as a whole to transcend the Contingency of the parts. But he does not see that the difficulty is the same in the two places, (If he had seen this, indeed, he would have seen that he was wrong in bringing it in twice.) And consequently he states 168 CH. VII. ACTUALITY his sohition here as if it were different from the later one. It is this, I think, which accounts for the obscurity. 166. In this way Hegel reaches - III. The Absolute Relation. A. The Relation of Substantiality. {G. L. ii. 219, Enc. 150.) According to this category the universe is something which is to be looked at both as a multiplicity of particulars (the Accidents) and as a unity (the Substance). There is thus a certain duplicity, but no longer the old duplicity which was finally transcended in Inner and Outer. Substance and Accidents are not two forms, in either of which we may regard the reality. They are two characteristics of one form, which is the only form which the reality takes. We could, according to Hegel, contrast the reality seen as Whole with the reality seen as Parts, for although the content was the same in both cases. Whole and Parts were two separate forms, under either of which it could be seen. And the same was true of Force and Exertion. But now it is different. To regard it as Substance is to regard it also as Accidents, and to regard it as Accidents is to regard it also as Substance. Thus the Essence-relation has been transcended. There is no longer a Substratum and a Surface, in whose relation to one another the explanation of reality was to be found. All that we can say is that Substance — the characteristic of junity — corresponds to Whole, Force, and the Inner, which were previously Substratum, and that in the same way Accidents correspond to the previous Surfxces — Parts, Manifes- tation, Outer. But to have a Substratum and a Surface we want more differentiation than is here permissible. It may seem curious that categories in which the Essence-relation is transcended should fall in the Doctrine of Essence, but we are now very near the end of that Doctrine. Is there only one Substance, or are there many Substances, each having many Attributes ? It seems that, in the sense in which Hegel uses Substance, there is only One. The III. THE ABSOLUTE RELATION 169 Absolute Necessity, from which he attempts to derive the new category, connects the whole universe in one. And of Inner and Outer (which should have been the immediate predecessor of Substance, as I shall point out later) we must say, as of its predecessor Whole and Part, that with such a conception all existents can be grouped in a single unity. There is, then, only one Substance. But what are the Accidents ? Accident is generally used as a name for the qualities of the Substance which has them. Extension and impenetrability would be said to be Accidents of material Substance. But this is not Hegel's use. The Accidents of which he speaks are the things which are parts of the Sub- stance. "They are... existing things with manifold properties, or wholes which consist of parts, stable parts" (G. L. ii. 222). Although Hegel's special categories of Thing and Properties, and of Whole and Parts, have been transcended, we must say, in a more general sense, that the Accidents are parts of the Substance, and are themselves things with properties. 167. This, then, is what Hegel means by the category. Is it valid ? I believe that it is valid, but that the way in which he reached it is invalid, and that it should have been reached directly from Inner and Outer. In the first place, it can be reached from Inner and Outer. For it is simply the restatement of that category, as a new Thesis should be of the previous Synthesis. All that we have said of Substance and Accident is equally true of Inner and Outer (cp. the last Chapter, Section 151). Now, if it can be reached from Inner and Outer, Hegel must be wrong in inserting two triads between them. For every triad indicates an advance, and there must be something wrong with the argument when, at the end of the second triad, we are only where we were before the beginning of the first one. And, secondly, the transition by which Hegel does reach Substance from Absolute Necessity is intrinsically invalid. For, as I said above, the conception of Necessity is really that of Causality. Necessity means for Hegel much more than the fact that reality is certainly determined. If it only meant that, we should have had Necessity very early among the 170 CH. VII. ACTUALITY categories of Being, and the relation between Surface and Substratum in Essence would have been Necessity throughout. Necessity for him involves two characteristics. In the first place, that which is necessitated must be a Thing — not the mere Somethings of the earlier categories. In the next place, that which determines it must not be its own Substratum — its Ground, Matter, Law, or Force — but some other Thing. It will be remembered that it was the introduction of the idea of Necessity which formed the transition from the Formal Actuality and Possibility, which regarded the thing in its isolation, to the Real Actuality and Possibility, which regarded the thing as connected with others. Now the determination of one thing by another is just what Hegel means by Causality. And, if this is the case, the Greater Logic proceeds, in effect, though not in name, from Causality to Substance, and then from Substance to Causality. And this must be wrong. For the same category cannot be both higher and lower in the chain than another category. Thirdly, Hegel had no right to reach the category of Absolute Necessity at all. For, as I argued above (Sections 157 and 161), the Exposition of the Absolute is not properly deduced from Inner and Outer, nor is Contingency properly deduced from the Modus of the Absolute, so that there are two breaks in the chain. Thus Hegel had no right to reach the categories of the Absolute and of Actuality (in the narrower sense), and he has no right to go on from them to Substance. On the other hand, by leaving them out, we get a valid transition from Inner and Outer to Substance. It is clear then that they ought to be left out, and, as we shall see, this is just Avhat Hegel does in the Encyclopaedia. 168. It is in connexion with Substance that Hegel in- troduces in the Encyclopaedia (Section 151) some remarks on the philosophy of Spinoza, which he dealt with in the Greater Logic under the category of the Absolute {G. L. ii. 194). The position in the Greater Logic was more appropriate. It is true that Spinoza called his sole reality by the name of Substance. But in Hegel's category the whole nature of the Substance is to be found in the Accidents, and they are as real as the III. THE ABSOLUTE RELATION l7l Substance. This is very far from Spinoza's view. Indeed, according to that tendency in Spinoza's thought to which Hegel gives most attention, the Accidents, as finite, would be unreal. Such a view is more appropriately dealt with under the category of the Absolute, but this category, as I have said, is omitted in the Encyclopaedia. Hegel says in the Encyclopaedia that Spinoza should not be called an Atheist, but rather an Acosraist. There is great truth in the view that he was an Acosmist, though it must be admitted that he did not carry out consistently the principle that all determination is negation, on which his Acosmism p is based. As to his Atheism, it is beyond doubt that he denied the existence of a personal or conscious God, but then Hegel never regarded personality or consciousness as essential _ characteristics of God. At times he took God as being the Absolute Reality, whatever that reality might be. If the word is used in this sense, nobody but an absolute sceptic could be an Atheist. At other times he took God to mean the Absolute Reality conceived as a unity. It is in this sense that he appears to use it here. In either sense, of course, it would be true that Spinoza believed in the existence of God. 169. We now proceed to Causality. The transition lies, according to Hegel, in the fact that Substance, in its relation to Accident, is to be conceived as Power. This relation of Substance to Accident " is only the appearing totality as Becoming, but it is just as much Reflection; the Accidentality, which is implicitly Substance, is for that very reason posited as such ; and it is thus determined as a negativity which relates itself to itself, it is determined as over against itself, as relating itself to itself and as a simple identity with itself; and is Sub- stance existing for itself and powerful. Thus the relation of Substantiality passes over into the relation of Causality" {G. L. ii. 223). In other words, the Substance is conceived as determininsr the Accidents. The Accidents are now conceived as something existing in and for themselves, as a reality separate from the original Substance, and as themselves Substantial. Thus the relation of Substance to Accident changes into the relation 172 CH. VII. ACTUALITY between two Substances (the original Substance, and what was originally the Accident), and passing over into B. The Relation of Causality {0. L. ii. 223. Enc. 153), we have, as its first form (a) Formal Causality. (G. L. ii. 224.) The Accidents, being now, as Hegel tells us, "Substance existing for itself" must be taken as having a separate existence from the original Substance, though they stand in relation to it, and though the content of the two is identical. Thus it is not merely that the conception of Causality has been substituted for that of Substance, but that the two terms in the Substance-relation have been transformed respec- tively into the two terms in the Causality-relation, the original Substance being the Cause, while the Accidents become the Effect. It would seem that there is a plurality of Causes, each having a single Effect. For the Accidentality comprised plurality, and if it is taken as Substantial it must be taken as many Sub- stances. And as each Cause is identical in content with its Effect, the plurality of Effect would require a corresponding plurality of Causes. 170. Is the transition valid ? I think it is not. For I cannot accept Hegel's argument to prove that what was taken as one Substance must now be taken as two Substances with identical content. So far as I can see the whole transition rests on the phrase quoted above from p. 223, that the relation is Reflection and that therefore " the Accidentality, which is implicitly Substance, is for that very reason posited as such." The Accidents, that is, if I understand it rightly, are so closely related to the Substance, that they themselves are Substance. B, let us say, is an Accident of the Substance A. Substance and Accident are so closely connected — in Hegel's language, are so reflected into one another — that B is implicitly its Sub- stance A. From this we proceed to the conclusion that B is itself a Substance, over against A. I cannot interpret Hegel's words in any other way than this, and surely this is invalid. It was nothing else but the fact that III. THE ABSOLUTE RELATION l73 Force was implicitly Manifestation, and Manifestation was impli- citly Force, which led Hegel to transcend the difference of form previously, and to reach, in Inner and Outer, a category where Surface and Substratum were completely united. And now he is using just the same argument — that each side is implicitly the other — as a reason for going back to the conception transcended in Inner and Outer, the conception of an identical content in two separate forms. It is impossible that the same considera- tion should both disprove and prove this conception. It seems to me that it did disprove it, that it does not prove it, and that the present transition must therefore be condemned. It must be noted that in this Formal Causality the Causal relation is not between what Avould be generally called two different things — things different in content, and on the same stratum of reality. Causation of this sort does not come in till the next category. At present the Causation is only between the Substratum, which is Cause, and the Surface, which is Effect, and these have the same content. For the separation of the two sides has restored the difference between Surface and Substratum. If we carry on the spatial metaphor which these two terms involve, we may say that Formal Causality is vertical, while ordinary Causality is horizontal. 171. Hegel now continues. " In this identity of Cause and Effect the form is transcended, whereby they distinguish them- selves as that which is in itself and as that which is posited. The Cause expires in its Effect ; thus, equally, the Effect has expired, for it is only the determination of the Cause. This Causality expired in its Effect is thus an Immediacy, which is indifferent towards the relation of Cause and Effect, and has it outside itself" {G. L. ii. 226). (6) Determined Causality. (G. L. ii. 226.) " The identity of the Cause with itself in its Effect is the transcending of their might and negativity, and so is a unity which is indifferent to the differences of form, and is the content. — It is therefore only implicitly related to the form, in this case the Causality. They are therefore posited as separated, and the form as against the content is posited as 174 CH. VII. ACTUALITY something which is only immediately actual, as contingent Causality. " Moreover the content as so determined is a content with internal differences (ein verschiedener Inhalt an ihm selbst); and the Cause is determined according to its content, and thereby the Effect also. — The content, since the reflectedness is here also immediate Actuality, is so far actual but finite Substance. " This is now the Causal Relation in its reality and finitude. As formal it is the infinite relation of absolute power, whose content is pure manifestation or necessity. On the other hand, as finite Causality it has a given content, and subsides into an external difference to that identity which is one and the same substance in its determinations " {G. L. 226, 227). This is very obscure. But it seems to me that the same things which were Cause and Effect in Formal Causality are taken as Cause and Effect in the new category. If A is the Cause of B by Formal Causality, then, I think, under the new category A will still be the Cause of B, though the nature of A and B, and their relation to one another, are conceived rather differently. The same Identity which connects Cause and Effect in Formal Causality connects them in Determined Causality. This seems clear, for it is '"' the Identity," " this Identity," " the Content " all through, without any suggestion of a change in the Identity. And if it is the same Identity, it must be the same things which it connects. The Identity which links together two things of which one was the Substra- tum of the other, could not connect any other two things. Moreover, if the Causalit3'-relation related things in the new category by other groupings than those of the last category, the transition would have to show some negative character — some- thing which broke down the one system and so made the substitution of the other necessary. Now there is no such negative element to be found in the transition, which appears to be entirely a direct movement forward, and so leads to the conclusion that if A was the Cause of B under the first category, it w^ill also be the Cause of B under the second. At any rate, Hegel does not give any indication of why the group- ing should change, or how any new one should be formed. III. THE ABSOLUTE RELATION 175 172. But the attempt to regard the things which are joined by Formal Causation as also joined by Determined Causation is impossible. Hegel appears to ignore the funda- mental difference which exists between the two. Determined Causation is what is ordinarily known as Causation, with one very important difference. Hegel defines it entirely without relation to Time or Change. Thus while the ordinary con- ception of Causation is that a change in A produces a change in B, Hegel's Determined Causation only says that the nature of A determines the nature of jB. It would be as applicable in a timeless world as in a world of change. This is no doubt a very important difference. But in spite of the fact that Determined Causation resembles Formal Causation in not involving Time, the points in which Deter- mined Causation resembles the ordinary non-Hegelian concep- tion of Causation are such as to leave a very fundamental difference between Determined and Formal Causation — a difference which, as I have said, Hegel does not recognise. There are four such points. The first is that, as I said above, Formal Causality does not connect what would usually be called two things — each containing the elements of Surface and Substratum united. It only connects two things one of which is the Surface and the other the Substratum of what would usually be called the same thing. It would not connect, e.g., an axe with a tree, but only the Substance of the axe viewed as one thing, with the Accidents of the axe, now transformed into another thing — the original Substance being Substratum and Cause, and the former Accidents being Surface and Effect. As a consequence of this the content of Cause and Effect in Formal Causality must be identical, since the identity of content between Substance and Accidents is not regarded by Hegel as lost when the Accidents gain a Substan- tiality of their own. The second point of difference is that Determined CausaKty — like ordinary causality — unites the plurality of existence into a system. Things which are different are connected by it\ ^ Hegel, as we shall see, asserts that in Determined Causality Cause and Effect are identical, but, as we shall also see, he qualifies this by admitting, after all, a certain difference. And he certainly regards the plurality of existence as related by Determined Causality. 176 CH. VII. ACTUALITY But in Formal Causality there is no such union. Each Effect has its own Cause — identical with it in content, a mere redupli- cation of it on the level of the Substratum. The different things are not united with one another. Each is split into two, and these two are united by Causality. The other differences — those united by Determined Causality — are not united at all in Formal Causality. The third point of difference is that in Determined Causality, as Hegel expressly says, a Cause can be (and, indeed, must be) also an Effect. This is impossible with Formal Causality, since there all Causes are Substrata, and all Effects are Surfaces. Now the same thing cannot be both a Substratum and a Surface. Fourthly, in ordinary Causation an Effect has a plurality of Causes, and a Cause a plurality of Effects. In Determined Causation Hegel admits, as we shall see, a plurality of remote Causes, though not of immediate Causes. But in Formal Causality there can be no plurality, whether of Causes or Effects, since the Substratum has only one Surface, and the Surface only one Substratum. 173. Hegel makes one attempt to remove these differences in his well-known doctrine of the identity of Cause and Effect, even in Determined Causation. He says, after the transition to Determined Causation has been made, " Through this identity of content this Causality is an analytic proposition. It is the same Fact (Sache) which shows itself at one time as Cause, at another time as Effect" (G. L. ii. 227). I shall endeavour to show that Hegel is wrong in asserting this identity, while, even if he had been right, it would by no means have removed the differences between Formal and Determined Causation which he ignores. There is at any rate a presumption against the truth of this doctrine. It is against the ordinary usage of language. In ordinary empirical propositions about finite things we never find ourselves asserting that A is the cause of A, but always that A is the cause of B. The Cause and Effect are always things which, irrespective of their being Cause and Effect, have different names. The presumption is that there must be some difference between things to which different names are generally given. Let us see how Hegel meets it. III. THE ABSOLUTE RELATION 177 He gives four examples of the asserted identity of Cause and Effect. The first is that rain makes things wet, and that the rain and the wetness are the same water. The second is that the paint is the cause of the colour of a surface, and that it is also the colour of the surface. Again, the cause of a deed is the inner sentiment (Gesinnung) of the agent, and these have the same content and value. Finally, when the cause of the movement of a thing is its contact with another thing, the " quantum of movement " which was the Cause has been trans- ferred to the thing acted on, and is thus the movement which is the Effect (G. L. ii. 227, 228). We must notice, in the first place, that Hegel only gives part of the Cause. For example, the rain-water, by itself, will make nothing wet. Unless the clouds are driven over the house, unless the meteorological conditions allow the rain to fall, the roof will not be wet. Nor could the roof be wet if the house had never been built. The wind, the air, the builders of the house, are all part of the Cause, but they certainly are not identical with the wetness of the roof. In the second place, rain is not identical with the wetness of a roof, in the sense required here. The rain is detached drops of water falling through the air, the other may be a uniform thin sheet of moisture. They are, from a scientific point of view, different forms of the same matter. But the form is part of the nature of the thing, and, if two things differ in form, they are not identical. The other examples show similar defects. And so there are two fatal objections to Hegel's position. He only reaches it, firstly, by taking only one Cause of each Effect, although every Effect has many Causes. And, secondly, he only reaches it by assuming that two things are identical if they are formed of the same matter, or if they are of the same value, or have a quantitative equality, ignoring the other aspects in which they differ from one another. 174. Hegel does, indeed, admit {G. L. ii. 228) that the Cause has a content which is not in the Effect, but says that this content is a " zufalliges Beiwesen." But, in fact, much of the content of the Cause which is not in the Effect is by no means contingent and unessential, but is an essential part of M'^T. 12 178 CH. Vir. ACTUALITY the Cause, without which it would not produce the Effect. The roof would not be wet except for the action of the wind and the builder. But neither the wind nor the builder is a part of the wetness of the roof. Again, he admits that the identity is only between the Effect and its immediate Cause, and not between the Effect and its remote Cause (G. L. ii. 228). The reason that he gives for this is that the Effect has a plurality of remote Causes. But it is also the case that it has a plurality of immediate Causes. Indeed, the fact that any Effect has a plurality of remote Causes is sufficient to prove that some Effect has a plurality of immediate Causes. If we go back from any Effect along the chain of its Causes, there must be some point in the chain where we pass from a single Cause to the admitted plurality of remote Causes. In that case the last stage (in this backward process) which is a unity will have the members of the first stage which is a plurality as its immediate Causes. And there is another difficulty. If A is the Cause of B, and B of C, then, according to Hegel, A is identical with B, and B with G, but A need not be identical wdth C. But, unless the point in which B is the Effect of J. is a mere zufalliges Beiwesen with regard to B's causality of C (and this cannot always be the case) it would seem that A must be identical ■svith C. For surely things which are identical with the same thing must be identical with one another. Lastly Hegel has to admit that, with this interpretation of Causality, it is impossible to apply Causality to the relations of organic and spiritual life (G. L. ii. 229)^ His examples of improper applications include the assertions that fever could be caused by eating certain foods, and that Caesar's ambition was the cause of the destruction of tlie republican constitution of Rome. His meaning must therefore be, not merely that the organic and the spiritual cannot enter into causal relations with the inorganic and the material respectively, but that they cannot enter into causal relations at all. But if this category is not applicable to the whole of reality, how can it be derived from ^ This seems quite inconsistent with his previous assertion that the relation hetween an act and the sentiments of the agent is an example of the identity of Cause and Effect. III. THE ABSOLUTE RELATION 179 earlier categories and lead on to later categories which certainly apply to the whole of reality ? (Of course it is not completely adequate to the organic and spiritual worlds, but Hegel's mean- ing here must be more than this, since no category except the Absolute Idea is completely adequate to any reality.) Thus we must reject Hegel's theory of the identity of Cause and Effect. It is curious that it should have proved one of the most popular of his doctrines. It is often maintained by writers whose works show little study of the detail of other parts of the dialectic. 175. Even if Hegel had proved the identity of Cause and Effect in the way in which he asserted it, the identity would still be different from the identity in Formal Causality. For, as we saw above, Hegel does admit some difference in the empirical content of Cause and Effect in Determined Causality, though he asserts it to be a " zufalliges Beiwesen." In Formal Causality, on the other hand, it is impossible that there should be any difference between Cause and Effect, except the fact that they are respectively Cause and Effect. In other words, as was said before. Formal Causation is a relation between two aspects of what would commonly be called the same thing. Determined Causality is a relation between what would com- monly be called different things. Hegel has thus failed to remove even the first of the four differences between Formal and Determined Causality, which were enumerated above (Section 172). He does not even attempt to remove the other three — that Determined Causality unites the plurality of the existent, that in it every Cause is also an Effect, and every Effect a Cause, and that in it every Effect has a plurality of Causes — at any rate of remote Causes. None of these features is to be found in Formal Causality. As Formal and Determined Causality are so different, a valid transition would require a demonstration that, to remove some inadequacy in the conception of Formal Causality, it would be necessary to alter it in each of the four characteristics in which it differs from Determined Causality. And it seems clear to me that he has not succeeded in doing this. Nor does it seem that he realised how much there was to do. We must therefore reject this transition — one of the most 12—2 180 CH. VII. ACTUALITY interesting in the dialectic, since it deals with a problem which has been of such cardinal importance to many philosophies. 176. In the Encyclopaedia the treatment of Causality is substantially the same. There is no separate category of Formal Causality, but the transition from Substance to Cause is clearly through the conception of Substance as Cause and Accidents as Effect. {Enc. 153, "Substance is Cause, in so far as Substance reflects into self as against its passage into Accidentality, and so stands as the primary fact, but again no less suspends this reflection-into-self (its bare possibility), lays itself down as the negative of itself, and thus produces an Effect, an actuality, which, though so far only assumed as a sequence, is through the process that effectuates it at the same time necessary.") This harmonizes with the fact that the Encyclo- paedia, as well as the Greater Logic, maintains the identity of Cause and Effect. 177. Hegel now remarks that, starting from any point, we shall get an infinite series of Causes and Effects. If the original Effect, as being a finite reality, wants a Cause, then the Cause, which is equally a finite reality, wants another Cause, which again will require another, and so on without end. And the same will be true of the Effects. We have an infinite series, then. But does its infinity involve a contradiction ? For, as we have seen before, Hegel does not regard an infinite series as ipso facto contradictory. I do not see that there is a contradiction here. At first sight, no doubt, our present series seems to resemble very closely the Infinite Qualitative Series in the Encyclopaedia, which was contradictory ^ But there is an important difference. There the nature of each term was found in its Other, and not in itself ^'s nature was only to be found in its other, B. But B had no nature, except in its other, C. Thus J.'s nature must be looked for in C. For the same reason it could not be found there, but in D. And so on unendingly, ^'s nature could be found nowhere, which was contradictory to the fact, already established, that A had a nature. ^ The Infinite Qualitative Series in the Greater Logic took a different form,, and does not resemble the Causal Series so closely. Cp. above, Sections .32. and 35. III. THE ABSOLUTE RELATION 181 Here it is different, ^'s nature is in itself, not in its Cause, B. That it should be what it is is determined by B, but it falls in A. And thus, as it seems to me, there is no contra- diction in an infinite series of Causes. If there is such a series, then A will have an infinite number of relations. It will be related to B, and it will also be related to C, which, as the immediate Cause of B, will be the remote Cause of A. And it will be related in the same way to D, E, and so on infinitely. But there is no contradiction in A's standing in an infinite number of relations. Again, it follows from the existence of such an infinite series that no mind working in time could ever completely explain anything. For A cannot be explained without reference to the nature of its Cause B, which determines it. But this will not be a complete explanation unless the nature of B is an ultimate fact, neither admitting nor req>iiring an explanation. If B requires explanation — as will be the case here — by its Cause C, A will not be explained without a knowledge of G, and so on through an infinite series of terms the end of which can never be reached by a mind passing through them successively. But a state of things is not impossible because it could never be completely explained by a mind working in time. Thus there is no contradiction in this infinite series. And Hegel never says that there is. He calls it a False Infinite (Schlecht-Unendliche) but this is the term which he applies to all infinites of endless succession (as distinguished from the True Infinite of self-determination) whether he regards them as con- tradictory or not. And his transition to the next category does not depend on any contradiction being found in the infinite series, but developes from the nature of Causation in a point quite independent of the infinite series. 178. To this transition we now proceed. That which is acted on, Hegel tells us, must also itself act {G. L. ii. 237). In the first place, the Effect which is worked on anything is also the Effect of that thing {G. L. ii. 238). A determines the Effect X in B. But that A should determine that precise Effect is due not only to A's, nature but also to B'b. The stylus is the cause of the impression made on the wax. But when we consider what a different effect would have been produced by 182 CH. VII. ACTUALITY pressing the stylus on a diamond or on water, we see that the result produced in the wax is due to its own nature as much as to the nature of the stylus. What Hegel says is doubtless true, though he might find some difficulty in reconciling it with his doctrine of the identity of Cause and Effect. For the proof that B is also a Cause of the Effect determined in it lies in the fact that A determines a different Effect in B to what it would determine in C. Now if A produces different Effects in different things, what becomes of the identity of Cause and Effect ? A cannot be identical with two things of different natures. In this way we reach (c) Action and Reaction (G. L. ii. 235), where the thing in which the Effect is produced is recognised as its joint Cause. 179. From this we proceed to the next category as follows ^ There is, Hegel tells us, a second sense in which that which is acted on must also act {G. L. ii. 238). Not only does B co- operate in determining the Effect x in itself, but B is also the Cause of an Effect in A. A'?, exertion of Causality on B is just as much a characteristic of A as the result of that exertion, namely x, is a characteristic of B. But A cannot determine an Effect unless there is something to determine it in, nor can it determine the Effect x unless there is B to determine it in, for it is only the co-operation of £'s nature which makes the Effect to be x rather than anything else. Hence B is the Cause in A of the characteristic " J.'s co-operation in determining x!' (That is to say, B is the external Cause of it. A's nature will of course co-operate.) Thus we reach G. Reciprocity. (G. L. ii. 239. Enc. 155.) Here "the Activity (Wirken) which in finite Causality ran out into the process of the false infinite becomes bent round and an infinite reciprocal Activity returning into itself" {G. L. ii. 239). ^ As Hegel places both the transition from Determined Causality to Action and Eeaction, and the transition from Action and Reaction to Reciprocity, within the section headed Action and Reaction, the distinction between the two may at first sight be missed, but becomes evident on closer examination. III. THE ABSOLUTE RELATION 183 The question now arises at what points the line of Causality bends round on itself. Hegel's demonstration indicates that two things in immediate causal relation to one another may by themselves form a unity of reciprocal action. At the same time his treatment of this category, and his transition from it by means of the idea of complete Necessity, clearly indicate that the whole of existence is to be taken as forming a single unity of reciprocal activity. The' two positions, however, are quite harmonious. If the principle of Reciprocity is admitted, we can begin with unities as small as we choose but we shall be led on to an all-embracing unity. Suppose we take two things only, A and B, as forming such a unity. If they are the only things in the universe, then the unity is already all-embracing. But, if not, the unity thus formed will have other things outside it. Being thus finite, it will have to be determined from outside. If we call its Cause G, then (A and B) and C will form a larger reciprocal unity, which must again be determined from outside, and so on, till we come to a unity which embraces the whole of existence. This assumes the truth of the principle that, if several things are taken together as a unity, a Cause for that unity must be found outside it, as if it were a single thing. Hegel unquestionably does assume this, for without it he could not arrive at the final result of this category — that all things are bound in one system of Necessity. But he has not proved it. It would be inapplicable in Formal Causality, and must spring, if it is to be justified, from the special nature of Determined Causality. This nature, we have already seen, Hegel has failed to deduce from Formal Causality. 180. The unity of this reciprocal Activity is called by Hegel, as we saw above, by the name of infinite. This does not mean that the universe of existents is, in the ordinary sense, infinitely large. He speaks here of what he calls the True Infinite — the infinite of self-determination. Such a uni- verse is infinite because it is determined only by its own nature, and not by anything outside it. The absolutely True Infinite will only be reached in the Absolute Idea. But the universe as connected by Reciprocity is relatively a True Infinite as compared with the finitude of a part of the universe or as 184 CH. VII. ACTUALITY against the false infinite of endless chains of Causes and Effects. The system of such a universe as a whole is an ultimate fact, which neither admits nor requires any explanation. And in this consists its infinity, for it is determined by nothing outside it. On the other hand each of the particulars in the system is determined by others, and there is no particular part which does not in this way find an explanation. But while the infinity which Hegel ascribes to this system is not a "false" infinity of number or magnitude, I do not see that it is impossible for it also to possess a " false " infinity. (On this point Hegel himself says nothing.) If the universe were adequately expressed by the category of Determined Causality, it would necessarily possess such a false infinity, since beyond each thing there would be a fresh thing which was its Cause. With Reciprocity it becomes possible to have a complete system of determination with a finite number of things, and so the number may be finite. But it would be equally possible, I think, to have a complete system of deter- mination with an infinite number of things, and so the number may be infinite. 181. We have now reached the last category of Causality and of Essence. (The transition into the Notion will be con- sidered in the next Chapter.) We have found ourselves able to accept very little of the treatment of the subject in the Greater Logic. But the results at which we have arrived are in closer agreement with the Encyclopaedia. Our chief criticisms were two : that the two first subdivi- sions (the Absolute, and Actuality in the narrower sense) were unjustifiable, and that the treatment of Causality was erroneous. Now the first of these does not apply to the Encyclopaedia. Hegel there omits all the categories of the Absolute. Nor does he introduce into the dialectic chain the conceptions which, in the Greater Logic, fall within Actuality in the narrower sense. He treats of them, indeed {Enc. 143 — 149), but only in a preliminary discussion before he proceeds to consider the developement of the categories. The result of these omissions is that Substantiality, Causality, and Reciprocity are the three immediate subdivisions of Actuality in the larger sense, instead III. THE ABSOLUTE RELATION 185 of, as in the Greater Logic, subdivisions of its final subdivision. Instead of being divisions of the fourth order, they are now divisions of the third order. Thus the Encyclopaedia escapes one of the two objections to the Greater Logic. The introduction of the excursus on Possibility, Contingency, and Necessity is quite justifiable, so long as they are not treated as categories of the dialectic process. For Necessity and Causality, as I pointed out above, are really the same conception. And the relation of this conception to Possibility and Contingency is well worth con- sideration, although that consideration is not required, either to reach the conception of Necessity, or to transcend it. (The Encyclopaedia, however, with curious inconsistency, makes the transition to Substantiality from Necessity. This is clearly incompatible with the general line of argument which the Encyclopaedia adopts. Since, for it, Possibility, Contin- gency and Necessity are not a triad in the chain of categories, if Substantiality were deduced from them it would have no connexion with the earlier part of the chain, which would therefore be hopelessly broken at this point. The category immediately before Substantiality, according to the Encyclo- paedia, is the category of Inner and Outer. It is, therefore, from Inner and Outer that Substantiality must be deduced. And, as I pointed out above, this can easily be done.) But when we come to our second criticism on the Greater Logic, its failure with the category of Cause, we find that the Encyclopaedia is in no better position. It has no subdivisions of Cause. But the transition from Substance to Causality is still through the conception of the Substance as the Cause of its Accidents. " Substance is Cause, in so far as Substance reflects into self as against its passage into Accidentality, and so stands as the primary fact, but again no less suspends this reflection into self (its bare possibility), lays itself down as the negation of itself, and thus produces an Effect, an Actuality, which, though so far assumed only as a sequence, is through the process that effectuates it at the same time necessary" (Enc. 153). With this he holds himself to have arrived at a Causality equivalent to the Determined Causality of the Greater Logic. Thus the transition is really the same as in the 186 CH. VII. ACTUALITY Greater Logic. The only result of the omission of Formal Causality as a separate division is to render the argument more obscure. The Encyclopaedia also maintains the identity of Cause and | Effect. " So far again as we can speak of a definite content, there is no content in the Effect that is not in the Cause " i {Em. 153). « CHAPTER VIII SUBJECTIVITY 182. The last of the three main divisions of the dialectic is called the Doctrine of the Notion (Begriff). Notion is not, perhaps, a very satisfactory translation of BegrifF, but it would be difficult to find a better, and it is the translation usually adopted. The Doctrine of the Notion is divided into three divisions — Subjectivity, Objectivity, and The Idea. (In the Encyclopaedia the two first are called the Subjective Notion and the Objective Notion.) Subjectivity is divided as follows : I. The Notion. (Der Begriff.) A. The Universal Notion. (Der allgemeine Begriff.) B. The Particular Notion. (Der besondere Begriff.) C. The Individual. (Das Einzelne.) II. The Judgment. (Das Urtheil.) A. The Judgment of Inherence. (Das Urtheil des Daseins.) (a) The Positive Judgment. (Das positive Urtheil.) (6) The Negative Judgment. (Das negative Urtheil.) (c) The Infinite Judgment. (Das unendliche Urtheil.) B. The Judgment of Subsumption. (Das Urtheil der Reflexion.) (a) The Singular Judgment. (Das singulare Urtheil.) (6) The Particular Judgment. (Das partikulare Urtheil.) 188 CH. VIII, SUBJECTIVITY (c) The Universal Judgment. (Das universelle Ur- theil.) C. The Judgment of Necessity. (Das Urtheil der Nothweudigkeit.) (a) The Categorical Judgment. (Das kategorische Urtheil.) (b) The Hypothetical Judgment. (Das hypothetische Urtheil.) (c) The Disjunctive Judgment. (Das disjunktive Urtheil.) D. The Judgment of the Notion. (Das Urtheil des Begriffs.) (a) The Assertoric Judgment. (Das assertorische Urtheil.) (b) The Problematic Judgment. (Das problematische Urtheil.) (c) The Apodictic Judgment. (Das apodiktische Urtheil.) III. The Syllogism. (Der Schluss.) A. The Qualitative Syllogism. (Der Schluss des Daseins.) (a) First Figure. (Erste Figur.) (b) Second Figure. (Zweite Figur.) (c) Third Figure. (Dritte Figur.) (d) Fourth Figure. (Vierte Figur.) B. The Syllogism of Reflection. (Der Schluss der Reflexion.) (a) The Syllogism of Allness. (Der Schluss der Allheit.) (6) The Syllogism of Induction. (Der Schluss der Induktion.) (c) The Syllogism of Analogy. (Der Schluss der Analogic.) C. The Syllogism of Necessity. (Der Schluss der Nothweudigkeit.) I. THE XOTION 189 (a) The Categorical Syllogism. (Der kategorische Schluss.) (b) The Hypothetical Syllogism. (Der hypothetische Schluss.) (c) The Disjunctive Syllogism. (Der disjunktive Schluss.) The only ambiguity in the nomenclature here is that Notion is used both for the primary division of which Sub- jectivity is a secondary division, and also for the first tertiary division of Subjectivity. Judgment of Inherence and Judgment of Subsumption are not, it will be seen, translations of the titles given by Hegel, But he suggests Urtheil der Inharenz and Urtheil der Subsumption as alternative names (G. L. iii. 94) and, as these seem more expressive than the original titles, I have thought it better to adopt them. In the same way I have called the Schluss des Daseins by the simpler name of Qualitative Syllogism, which is also given by Hegel {G. L. iii. 133). It will be noticed that Judgment and the Qualitative Syllogism have each four divisions instead of three, though the irregularity in the latter case will prove to be more apparent than real. 183. The names of the categories of Subjectivity suggest at first sight that this part of the dialectic deals only with the workings of our minds, and not with all reality. This might account, it would appear, for the name of Subjectivity, and for such names as Judgment and Syllogism among the sub- divisions. But such a use of Subjectivity would not be Hegelian. For Hegel Subjective does not mean mental. It means rather the particular, contingent, and capricious, as opposed to the universal, necessary, and reasonable \ 1 The onlj' case, so far as I know, in which Hegel uses Subjective in any other way occurs in the Greater Logic, when he calls the Doctrines of Being and Essence by the name of Objective Logic, and the Doctrine of the Notion (including Objectivity and the Idea as well as Subjectivity) by the name of Subjective Logic. But he says {G. L. i. 51) that this use of Subjective and Objective, though usual, is unsatisfactory. 190 CH. VIII. SUBJECTIVITY And when we examine the categories which have the titles of Notion, Judgment, and Syllogism, it is evident that, in spite of their names, they do not apply only to the states of our minds, but to all reality. They follow, by the dialectic process, from the categories of Essence, and the categories of Objectivity and then the categories of the Idea, in like manner, follow from them. They must therefore, if there is to be any validity in the process, apply to the same subject as the categories of Essence and the Idea, which admittedly apply to all reality. Hegel's own language, too, renders it clear that these cate- gories are meant to apply to all reality. He says, for example, "all things are a categorical judgment " {Enc. 177), and again, "everything is a syllogism " {Enc. 181). 184. We must look, then, for another explanation of the terminology. We can find it, I think, in the relation of this part of the dialectic to formal logic. Formal logic owes its existence to abstraction. When we take its standpoint we make abstraction of all but certain qualities of reality. Now these qualities, we shall find, are those which are demonstrated to be valid in the categories of Subjectivity. We find that formal logic assumes that we have the power of ascribing general notions as predicates to subjects, and in this way arriving at complete truth with regard to these subjects. And it also assumes that we are in possession, in some way or another, of various general truths of the type All A is B, No A is C, Some A is D. On the other hand we find that there are other characteristics of reality of which formal logic takes no account. It makes no distinction between trivial and important propositions. "No man is wholly evil" and "No man has green hair" are, for formal logic, assertions of exactly the same sort. And, in the second place, it only concerns itself with the deduction of one proposition from others. It does not enquire into the validity of the ultimate propositions from which all deduction must start. Now we shall see that Hegel's Subjectivity begins with the conception of universal notions, and that it soon proceeds to the further conception of valid general propositions — the two assumptions of formal logic. And we shall also see that among I. THE NOTION 191 the defects which Hegel finds in the course of Subjectivity are, in the first place, the inability to distinguish between the importance of propositions equally true\ and, in the second place, the failure to take account of ultimate general proposi- tions, while the further failure to take account of ultimate particular propositions, though not mentioned by Hegel, must be taken into account if we are to justify his transition to Objectivity. This will enable us to explain why the divisions of Subjectivity drew their names from formal logic. The reason is not that these categories apply only to the subject-matter of formal logic, but that the procedure of formal logic involves the validity of these categories in a way in which it does not involve those which come later in the chain. This is, of course, the same principle of nomenclature which we have already found in so many categories, from Repulsion onwards. We can now understand, also, why the whole division is called Subjectivity. The reason is that it is contingent, and its contingency is the same which we find in formal logic — that the principle of classifying which is adopted is entirely in- different. For formal logic all universals are of the same importance, and it sees no difference between a classification which arranges pictures by their painters, and one which arranges them by the size of their frames. 185. At the end of Essence we had attained to the idea of completely necessary determination. The category of Recipro- city asserts that everything is so connected with other things that the existence and nature of the one is completely dependent on the existence and nature of the other, and vice versa. And the connexions of this nature, direct or indirect, which belong to each thing, extend to everything else in the universe, so that the universe forms a connected whole. Hegel tells us that in this complete necessity we find freedom. " Freedom shows itself as the truth of necessity " {G. L. iii. 6. Enc. 158). In examining this apparent paradox, we must remember that for Hegel freedom never means tlie power to act without motives, or with an unmotived choice of 1 Cp. his attempt to demoustrate that particular sorts of predicates are appropriate to particular forms of Judgment. 192 CH. VIII. SUBJECTIVITY motives. For him freedom always means absence of external restraint. That is free which is what its own nature prompts it to be, however inevitable may be its possession of that nature and its action in accordance with it. If we say, then, that a thing is deficient in freedom, Ave must mean that, while its inner nature, if unthwarted, would lead it to be ABC, it is compelled by external influences to be ABD instead. Now this appeared possible in the categories of Essence. For there we conceived everything as having an inner nature, which was connected, indeed, with its external relations, but Avas not identical with them, which could be either in or out of harmony with them, and, in the latter case, would be constrained. But when we reach Reciprocity we have transcended this view. The thing has no nature at all, except in so far as it is determined by other things, and in its turn determines them. What is thus determined is its inner nature. And thus it reaches freedom. Since it has no inner nature except the results of this external determination, it is clear that its external determinations can never make it do anything against its inner nature. This is, indeed, only a negative freedom. But any more positive freedom requires higher categories. In necessity w^e have gained all the freedom which is possible at this stage. This point is so important that, to prevent ambiguity, it may be well to anticipate some considerations which belong more properly to the Idea. In self-conscious beings, we can distinguish between free and constrained states, even when Ave recognise that both states are determined in the same Avay — as an inner state determined from outside. A man feels himself free if he can do Avhat he wants, and feels himself constrained if he cannot. And yet his desire and its gratification are as completely determined in the one case as his desire and its disappointment are in the other. This, hoAvever, does not contradict our previous result. For an act of volition in a conscious being is not only an occurrence, but an occurrence with a meaning — a characteristic which belongs to no occurrences except mental acts. And while the occurrence of the volition, like any other act, must be in complete harmony with the rest of the universe, its meaning may not be in such a I. THE NOTION 193 harmony. If a man in the Arctic Circle desires to see a palm- tree, the occurrence of that desire in him will be in perfect harmony with the rest of the universe, for it will be connected with it by reciprocal causation. But the meaning of the act will not be in harmony with the universe. The same nature of the universe which determines his desire for a palm-tree will determine the absence of palm-trees, and so there will, in this sense, be want of harmony between the desire and the universe. Hence there will arise constraint and absence of freedom. This conflict will require a deeper reconciliation than that which proved effectual in Reciprocity. For here there is some- thing inner which, however it has arisen, deals with the world around it as an independent power. The reconciliation could only take place by a demonstration that the two independent powers do in fact harmonize with one another. The freedom which is attained by the establishment of complete necessity is only a negative and imperfect freedom, but it is all that can be attained at the point of the dialectic where it is introduced. It is also all that is required, since it removes all the constraint which is, at this point, possible. 186. The first division {G. L. iii. 35. Enc. 163) is I. The Notion. A. The Universal Notion. (G. L. iii. 36. Enc. 163.) The deduction of this category from the last is found at the end of Essence (G. L. ii. 242) and is as follows: "The absolute Substance as absolute Form separates itself from itself, and consequently no longer repels itself from itself as Necessity, nor falls as Contingency into Substances indifferent and external to each other, but separates itself. On the one hand it separates itself into the totality, previously the passive Substance, which is original as the reflection into self out of determinateness (Bestimmtheit), as the simple whole which contains its positing in itself, and is posited as therein identical with itself — the Universal. On the other hand it separates itself into the totality, previously the causal Substance, which in its reflection out of its deter- minateness in itself is negatively determined, and so, as the 194 CH. VIII. SUBJECTIVITY determinateness which is identical with itself, is likewise the whole, but is posited as the negativity which is identical with itself — the Individual." I must confess myself unable to follow this. Why is Deter- minateness more negative in the Cause than in the Effect ? The one is as definite as the other, aud would therefore, it should seem, have the same element of negativity. And why is the Effect more a simple whole than the Cause ? And how could it be so, if the relations of Cause and Effect are reciprocal ? And, again, how does this deduction give us the Universal and the Individual which Hegel jDroceeds to use? The Universal has to be common to many Individuals, while the Individual has to be determined by many Universals. I cannot see how a passive aspect of Substance can be common to several active aspects, or how one active aspect can be determined by several passive aspects. 187. But, even if we cannot accept Hegel's own deduction, it is not, I think, difficult to see why Subjectivity, and the Universal Notion in particular, should succeed Reciprocity. The Universal Notion is, as we shall see, a common quality to be found in two or more things, which are united by their participation in it. Things, again, are united by the reciprocal determinations which have been established by the categor}^ of Reciprocity. But these are clearl}' not the Universal Notions for which we seek. The relation of things which are connected by the same Notion is not a relation of reciprocal causation, but a relation of similarity. Nevertheless, we know that these things, whose nature is determined by reciprocal causation, are determined by that causation to similarit}^ with one another. For it w^as shown in the category of Variety that everything is both like and unlike every other thing. From Variety to Reciprocity there are many categories, but in none of them is this particular conclu- sion transcended. And at the present stage in the dialectic we have the result that the various qualities in the reciprocally determined things must be such that no thing is entirely like or entirely unlike any other thing. Things, then, are doubly connected — by similarity and by I. THE NOTION 195 reciprocal causation. And it is obvious that a thing may be, and generally is, connected by the one tie to things very different from those to which it is connected by the other. A sparrow in England resembles very closely a sparrow in New Zealand, though the influence exerted by one on the other may be as slight as can possibly exist between any two beings on the same planet. On the other hand, the English sparrow's state is largely determined by his relations — positive and negative — to worms and to cats, although their resemblance to him is not great. Both these connexions have to be worked out further. And this the dialectic proceeds to do. It first takes up the relation of similarity, and works it out through the course of Subjectivity. Then in Objectivity it proceeds to work out the relation of determination — not going back arbitrarily to pick it up, but led on to it again by dialectical necessity, since Subjectivity, when fully worked out, shows itself to have a defect which can only be remedied by the further development of the relation of determination. Finally, the two are united in the Idea as a Synthesis. 188. This, as we have seen, is not the way in which Hegel makes the transition. But it seems to me that in this way it is valid, and I can see no valid alternative. It might be objected that such a transition would destroy the continuity of the dialectic. The dialectic, for Hegel, is unquestionably continuous. Each result must come from the one before it. And here, it might be thought, we have dropped the result gained in Reciprocity, put it aside till we shall have come to Objectivity, and, in order to get started in Subjectivity, gone back to a result which had been gained toward the beginning of the Doctrine of Essence. This, however, would be a mistake. For if, in one sense, we now start with the conception gained in Variety, that idea has been transformed, or we could not use it here. And it can only be transformed by the application of the conception of complete determination, which came for the first time with the category of Reciprocity. Thus both accusations of want of continuity are answered. We have not gone back to take up a long past result, but are taking it the moment it has been transformed to 13—2 196 CH. VIII. SUBJECTIVITY suit our present purpose. We have not dropped the result last attained, since it is only through this that the transformation has come about. Before this point we could not have taken the like and unlike qualities as Notions, because those qualities did not — as the Notions do — express the whole nature of the thing. The thing had these qualities, and they might be said to form part of its nature, but there was also an inner core of Nature, affected by these connexions with the outside, but not com- pletely expressed by them. This is the characteristic position of Essence. But when, at the end of Essence, we come to Reciprocity, this is changed. We saw there that a thing has no inner nature distinct from its outer nature, but that the two are identical. Thus the whole nature of the thing consists of the qualities in which consist its likeness and unlikeness to every- thing else. And thus the transition from Reciprocity is the natural and proper transition to the Universal Notion, since it is Reciprocity which first enables us to regard the like and unlike qualities as Notions. The transition may then be summed up as follows — the whole nature of everything consists in its qualities, which are determined by the relations of reciprocal causality which exist between it and every thing else. And, as every thing has some qualities in common with every other thing, the nature of any thing may always be expressed in part by pointing out some common quality which it shares with something else. These common qualities are Universal Notions. 189. It is, however, evident that this is only one side of the truth. If we found that every thing must have some quality in common with every other thing, we also found that no two things could have exactly the same qualities. And so, if we express in part the nature of A and B by pointing out that they have the common quality X, we are able to assert that it must also be the case that A possesses some quality Y, not shared by B, and that B possesses some quality Z, not shared by A. These qualities which distinguish the two things, united in their possession of Z, are what Hegel calls Particular Notions. I. THE NOTION 197 B. The Particular Notion. (G. L. iii. 42. Enc. 163.) We see from this that a Notion can be used both as Universal and as Particular. The quality Y may be shared by A with other things, and could then be made a Universal, with X as a Particular under it. For example, if we decide to classify a gallery of pictures by their painters, we may bring two pictures together as both painted by Raphael. They may be distinguished from one another by having, one a good frame and the other a bad frame. Here " painted by Raphael " is the Universal, while " having a good frame " and "having a bad frame" are the Particulars. But it would be possible, from caprice or when deciding on repairs of frames, to make the condition of the frames the primary principle of classification. The first Raphael might then be separated from its companion and classed with a Velasquez. Here the Universal would be " having a good frame," and the Particulars would be " painted by Raphael " and " painted by Velasquez." This brings out the contingency which earns for this part of the dialectic the name of Subjectivity. According to this category, all of the innumerable classifications possible are equally good. Any two things can be brought into the same class, for no two things are destitute of some common quality. Any two things can be separated, for no two things are without some difference in their qualities. There is no distinction made here between a classification based on deep and fundamental similarities, and one based on similarities merely trivial. One similarity is as good as another. 190. At the same time it must be noticed that, while many Notions can be used either as Universals or as Particulars, yet some can be used only as Universals and some, perhaps, only as Particulars. A Universal is a Notion which unites existent things, a Particular is a Notion which divides existent things. Any Notion therefore which is true of all existent things can be used as a Universal, and not as a Particular, since all things are united by their possession of it, and nothing is discriminated, by its possession of it, from anything else. And it is clear that there is at least one Notion which is true of all existent things, namely the Notion of Existence. 198 CH. VIII. SUBJECTIVITY Again, while all Notions, being general, are applicable, so far as their own meaning goes, to more things than one, yet it might be the case that some Notion applied only to one existent thing in the universe. Suppose, for example, the universe were such that one being in it, and only one in its whole duration, were yellow. Then the quality of being yellow would be a Particular Notion, but not a Universal. It could be used to discriminate that thing from other existent beings, but not to unite it with any other existent being. Hegel does not mention — perhaps he did not realise — this three-fold division of Notions which could only be Universal, Notions which could only be Particular, and Notions which could be either. But there is nothing in his language incon- sistent with it, nor is the point essential to the dialectic process. 191. For there is no Notion which is neither Universal nor Particular, and so, by a combination of Universal and Particular Notions, we can get all the Notions which are applicable to any thing, and so express its whole nature. And thus we reach C. The Individual. (G. L. iii. 60. £Jnc. 1G4.) It must be noted that, while the last two categories are the Universal and Particular Notions, this is not the Individual Notion, but the Individual. In the Thesis the conception was that the nature of each thing was partially expressed by the Notions which joined it to others. In the Antithesis the conception was that the nature of each thing was partially expressed by the Notions which separated it from others. Here in the Synthesis the conception is that by combining both classes of Notions the nature of the thing is completely determined. From this point onward the thing is called an Individual. 192. We now pass to II. The Judgment (G. L. iii. 65. Enc. 166), and, in the first place {G. L. iii. 75. Enc. 172) to II. THE JUDGMENT 199 A. The Judgment of Inherence, (a) The Positive Judgment. (G. L. iii. 76. Enc. 172.) The reality of an Individual, we have seen, was expressible only by a combination of Notions. It must therefore be possible to assert some relation between the Individual and each of these Notions. And this is what is asserted in Judgment. The question which was implicit in the categories of the Notion — how an Individual and a Notion can be connected with each other — becomes explicit in the categories of Judgment. This problem, to begin with, takes the form that, starting from the Individual, we endeavour to adjust a Notion to it. This is the Judgment of Inherence, as distinguished from the Judgment of Subsumption, in which we start with the Notion and endeavour to connect the Individual with it. The Judgment of Inherence comes first, because, in the preceding categories, the problem was to determine the Individual. And so we start here with the Individual as the datum, to which the Notion has to be related. The only relation hitherto considered between an Individual and a Notion has been an affirmative one, and so we start with a Positive Judgment of Inherence. Hegel expresses this Judgment as " the Individual is the Universal" {G. L. iii. 77). If Universal were used here in the same sense as in the categories of the Notion, this would be an inadequate way of expressing the category. For a Notion which can only be Particular is true of an Individual as much as any other Notion, And with respect to one of those Notions which can be either Universal or Particular, there is no reason to call it one rather than the other unless we know whether it is being used to unite or disunite this particular Individual from others. And to determine this, we should have to determine what other Individuals are being considered. Now in the Judgment which we have at present reached, only one Individual is under con- sideration. But the fact is that in the course of the Doctrine of the Notion the term Universal is used in very different senses. This is a defect in nomenclature, but one which need not lead to any error on the part of a careful student, as the changes 200 CH. VIII. SUBJECTIVITY ■made, and' the points at which Hegel makes them, are quite definite. Throughout the categories of the Judgment, Uni- versal means any general idea which is true of an existent Individual. Hegel takes as an example of this category " the rose is red," and not merely " this is red." This is quite legitimate, if we use the example to remind ourselves that the Individual, which is the subject of the Universal which we are considering, is also the subject of many other Universals — in this case organic, vegetable, and so forth. For we have seen that each Individual must have more than one Universal (in the new sense of Universal introduced in Judgment). But we must not, when enquiring how the Universal can be connected with the Individual, assume that the Individual is already determined by other Universals, since that would beg the question at issue — the nature and possibility of the connexion between a Universal and an Individual. 193. How does this category break down, and compel us to continue the dialectic process ? Hegel says (G. L. iii, 81. JSnc. 172) that all statements of the form I is U are necessarily false. If, for example, we say of a rose " this is red " there is a double falsity. Red is not identical with the rose at which we point, for, in the first place, there are many red things in the world besides this rose^ And, in the second place, it is not identical with it, because every Individual has more than one quality. The rose will be organic, vegetable, etc., as well as red. It seems at first sight as if this was a mere quibble. " Of course," it might be answered, " no one supposed that the is here was to be taken in the sense of absolute equivalence, as when we say the sum of three and two is five. A change of language will remove the difficulty. Say that the subject has the quality of being red, and the criticism ceases to have any force." But Hegel's objection, though I cannot regard it as valid, goes deeper than this. Hegel's reply would, I conceive, have been as follows. We cannot say that the Individual has the Universal. In the ^ If the Universal was one of those predicates which belong only to a single existent Individual, this would not apply. But even then the Universal would not be identical with the Individual, though it would denote nothing else. II. THE JUDGMENT 201 Doctrine of Essence, indeed, we were able to say that the Thing had its Properties. But a difficulty has arisen since then. Before anything can be said to have something else, it must itself be real. If it is not real, it cannot possess anything. And so, if we are to say that the Individual has the Universal, we must previously assign to the Individual some nature other than that Universal. Now in the case of a Thing and its Properties, this was possible. For the Thing was conceived as a Substratum, of which the Properties were the Surface, but which had a nature in some way distinguished from them. But this distinction has disappeared in the Notion. Our Individual is completely expressed by its Universals. It has nothing else in it. Where, then, can we find a nature for the Individual which has the Universal ? Each Individual, of course, has many Universals. But it is not possible to determine the nature of the Individual which is asserted to have one Universal, by means of the others which are true of it. For the difficulty would recur. The Individual is not identical with these Universals any more than with the first. We should be compelled to say that it had them. And so the difficulty would arise once more. 194. I do not think, however, that Hegel's argument can be finally sustained. It is true, no doubt, that the Individual has no nature except what can be expressed by Universals. And this would be fatal if it were necessary that a thing, which was related to its qualities as possessing them, should have a nature logically prior to those qualities. But I do not see that this is so. It was doubtless the position in the Doctrine of Essence, but by this time Hegel regards it as transcended. The nature of a thing is to be sought in its connexions with other things — by Universals or by causal relations — and not in some inner core of reality distinguished from them. This is certainly Hegel's general position with regard to the difference between Essence and the Notion, and he has therefore no right to fall back, in a category of the Notion, on the transcended conceptions of Essence, in order to demonstrate a contradiction. Thus I see no contradiction in " the rose is red." We can state it, to avoid the ambiguity of " is," in the form " the rose has redness." If we ask what it is which has this redness, no 202 CH. YIIL SUBJECTIVITY contradiction arises. Let us take redness, sweetness, and value as standing for the whole infinite number of Universals which are true of any particular rose. Then, if it is asked, " what is the nature of this which has redness, sweetness, and value?" the answer is " its nature is to have redness, sweetness, and value." This involves no vicious circle. It does involve the rejection of the principle that a thing must be logically prior to its qualities. But this principle is not true, and is recognised by Hegel not to be true. He has therefore no ground, that I can see, for rejecting this solution. 195. He does, however, reject it, and passes on. The Positive Judgment, he holds, has broken down because the Individual and the Universal could not be made to coincide. Now in a Negative Judgment the assertion is precisely that they do not coincide. We thus reach (6) The Negative Judgment. (G. L. iii. 82. Enc. 172.) Since the Negative Judgment is introduced in order to avoid the contradiction which Hegel finds in the Positive Judgment, it is clear that the Negative Judgment will have to replace the Positive Judgment altogether. We must have Negative Judgments, then, which do not involve any Positive Judgments. Hegel now points out {G. L. iii. 87. Enc. 173) that if we take a rose which is not red, it will nevertheless have some colour, and so will fall within the wider class of coloured objects. And thus we get the Positive Judgment that it is coloured. Can we ever get a Negative Judgment without such a Positive Judgment ? Only, he says, if we can deny of the Individual A a Universal Z, such that no common Universal would be true both of A and of all those Individuals of whom Z would be true. If we could find a predicate so far removed from A as this, the negative relation between it and A would form what Hegel calls an Infinite Judgment, to which we now pass. (c) The Infinite Judgment. 196. {G. L. iii. 89. Enc. 173.) He now tells us that, besides this Infinite Judgment, which he also calls the Negative- II. THE JUDGMENT 203 Infinite Judgment, there is also a Positive-Infinite Judgment, the Judgment of Identity. This takes either the form " the Individual is the Individual " or else the form " the Universal is the Universal " {G. L. iii. 90). It is quite true, of course, that if all Universals are denied of Individuals, we shall still be able to assert these barren tautologies, and they will be the only positive assertions which we shall be able to make. But Hecjel's treatment of these identities as if they were a subdivision of the Infinite Judgment is misleading. The true Infinite Judgment — the Negative- Infinite — denies the Universal of the Individual, and is in its proper place in the chain of attempts to determine the relation of the Individual to the Universal which runs right through the Judgments of Inherence and Subsumption. The affirma- tions that the Individual is the Individual, and the Universal is the Universal, have no place in this chain. They are true here, as they are true at every point after Individual and Universal have been once introduced. But they do not form a category at this point. The attempt to explain the nature of existent reality by the affirmation that anything is itself belongs to the category of Identity at the beginning of Essence. Hegel appears to have intended to express the same view in the Encyclopaedia on this point as he had already expressed in the Greater Logic (Enc. 173). But he makes the whole argument unintelligible by making the Positive-Infinite Judg- ment (there called simplj^ Identical) precede the Negative- Infinite Judgment (there called simply Infinite). By doing this he throws the transition from Negative Judgment into obscurity which can only be cleared up by comparison with the Greater Logic. This obscurity is increased by the extreme con- densation which prevails in the whole treatment of Subjectivity in the Encyclopaedia. 197. Hegel's transition from Infinite Judgment is as follows. He takes as examples of Infinite Judgments, " the rose is not an elephant," " the understanding is not a table," and he says that, although correct or true (richtig oder wahr) they are nonsensical and trivial (widersinnig und abgeschmackt) {G. L. iii. 90. Enc. 173). And it certainly is true that such Judgments are seldom, if ever, worth the trouble of asserting 204 CH. VIII. SUBJECTIVITY A Negative Judgment is interesting in proportion as the Individual of whom the Universal is denied, resembles those Individuals of whom it could be affirmed. Thus "the elephant is not carnivorous " is a more interesting and important pro- position than "the oak is not carnivorous," while this, again, is better worth asserting than the equally correct proposition "the binomial theorem is not carnivorous." But this would not be sufficient for Hegel's purpose. For to pass from Infinite Judgment to the Judgment of Sub- sumption it would be necessary to show that there is some contradiction in Infinite Judgment. And this is not done by showing that the propositions which, from the point of view of Infinite Judgment, would describe the universe, are trivial and unimportant. It would be necessary to show that they would be, taken by themselves, contradictory, whereas Hegel admits them to be correct and true. The fact is that Hegel does not do justice to his own position. The examples he gives are not contradictory, but then they are not Infinite Judgments. " The understanding is not a table" is not an Infinite Judgment. For an understanding has certain Universals in common with tables. Tables and understandings, for example, are both substances and both existent. A real Infinite Judgment is impossible. In an Infinite Judgment the Subject, of which the Predicate is denied, must have no Universal in common with the Individuals of whom the Predicate could be affirmed. This is clearly im- possible, if all Individuals have any Universal common to all of them. And all Individuals have, at any rate, the common Universal of Individuality. There cannot, therefore, be any Judgment which is really Infinite. It seems to me that Hegel was mistaken in making Infinite Judgment a separate category, and in making it the Synthesis in the triad of Judgment of Inherence. For an Infinite Judg- ment is only a Negative Judgment which can be true without any Positive Judgment being true. If "A is not Z" is not Infinite, then A has some Universal Y in common with the Individuals which are Z, and this would be the basis of a Positive Judgment. Now the transition from Positive to Negative Judgments involved that no Positive Judgments are II. THE JUDGMENT 205 true, and thus in reaching the category of Negative Judgment we had ah-eady reached the position of Infinite Judgment which should not, therefore, be a separate category. Moreover, Infinite Judgment does not form a proper Syn- thesis for the triad of Judgment of Inherence. As a Synthesis it ought to transcend the opposition between Positive and Negative Judgments, while in fact it merely developes it\ 198. It would be easy, however, to recast the divisions, so as to avoid this defect, without departing from the main line of Hegel's argument. The category of Negative Judgment breaks down because it requires that only Negative Judgments should be true of Individuals, which is impossible, since at any rate the Positive Judgment, " this is an Individual," is true of every Individual. Then the argument by which Hegel passes to Judgment of Subsumption from Infinite Judgment would take us from Negative Judgment to a Synthesis which contains the principle of Subsumption, and which, by the usual "collapse into immediacy" will take us to the Singular Judgment, the first subdivision of Subsumption. That argument is as follows (G. L. iii. 93). In the Judg- ment of Inherence "its movement showed itself in the predicate"' while the subject was what was regarded as fundamental. But in the Judgment of Subsumption the fundamental element is the predicate "by which the subject is to be measured, and in correspondence to which the subject is to be determined." Both Positive and Negative Judgments of Inherence — this- appears to be the line of Hegel's thought — have broken down. The difficulty has arisen from the inevitable incompatibility of the subject and the predicate in the Judgment of Inherence. How can this be changed? So far we have started with the subject and endeavoured to fit the predicate to it. And we have failed. There remains the alternative of starting with the predicate, and endeavouring to fit the subject to it. Instead, that is, of asking what Universal is true of a given Individual,, we shall ask of what Individuals a given Universal is true. The last triad was called Judgment of Inherence because the question was what Universals belonged to, or inhered in, an 1 This point is partially obscured by Hegel's treatment of Identical Judgment,, which suggests that it is a subdivision of Infinite Judgment. 206 CH. VIII. SUBJECTIVITY Individual. Here the question is what Individuals are brought under a Universal, and our new triad is called B. The Judgment of Subsumption, {G.L. iii. 91. Enc. 174.) This introduces, for the first time, the possibility of a distinction of Quantity in Judgment. When we started with the Individual, all Judgments applied to one Individual only. But the answer to our present question may be either that the Universal applies to one Individual, or to several. And these several can either be some of those who possess a second Universal, or all of those who possess it. Our Judgment may be " this is Z" or " some Y are Z," or " all Y are Z^ It can be either Singular, Particular, or Universal. 199. Hegel gives another characteristic of this triad, which apparently forms the ground for its other title of Judgment of Keflection. " If examples are to be given of the predicates of Judgments of Reflection, they must be of a different kind than those of the Judgments of Determinate Being^ In the Judgment of Reflection is given for the first time a really determined content, that is, a content at all... In the Judgment of Determinate Being the content is only something immediate, abstract, undetermined. Thus the following can serve as examples of Judgments of Reflection : man is mortal, things are perishable, this thing is useful or hurtful. Hardness and elasticity of bodies, happiness, etc., are characteristic predicates of this sort. They express an essentiality, which however is a determination by means of Relations, or a unifying (zusammen- fassende) Universality" ((?. L. iii. 92. Enc. 174). The point apparently is that a predicate must now assert some relation of the subject with another subject. But all the examples are not happily chosen. Useful and elastic, indeed, assert a relation, but perishable and hajopy do not seem to assert a relation any more than red does, which is taken by Hegel as an example of a Judgment of Determined Being. I do not think Hegel is justified in ascribing this second characteristic to the new triad. He has now made it differ from the former in two respects, (a) the predicates must express ^ It will be remembered that Judgments of Inherence are also called Judgments of Determinate Being. 11. THE JUDGMENT 207 relations, (b) the predicate, and not the subject, is the datum from which Ave start. If the new category is to have both these characteristics, he is bound to show that they are some- how connected, so that we are forced, if we modify our previous conception in one respect; to modify it also in the other. So far as I can see, he does not make any attempt to do this. And it seems difficult to conceive how it could be done. What is there in the fact that a predicate expresses a relation, that should involve the fact that the predicate, rather than the subject, should be taken as the datum ? Or what is there in the fact that the predicate, rather than the subject, should be taken as the datum, which should involve the fact that the predicate taken should be one which expresses a relation ? If the changes, then, are separate and unconnected, which of them is really the characteristic idea of the new triad ? It seems clear that it is Subsumption, and not Relational Predicates which must be taken as the meaning of the new stage, if the argument is to be considered valid. For we saw above that the change to Subsumption was a real attempt to remove the difficulty which Hegel found in Judgments of Inherence — the impossibilit}'- of finding a predicate which should coincide with the subject. Now a change to Relational Predicates does nothing to remove this difficulty. If there really were, as Hegel believed, a contradiction in " this rose is red," owing to the want of coincidence between the subject and the predicate, there would be just the same contradiction in *' this rose is useful." Again, it is clearly essential to the new triad that the distinction of Quantity should be introduced. The subdivisions of the triad turn entirely on Quantity, and without it we should not reach the Universal Judgment, which is vital for the rest of the argument of the dialectic. Now, as we have seen, the change to Subsumption does involve the introduction of Quantity into Judgments. But the change to Relational Predicates would not. If we continued to take the subject as the datum for starting, there would be no more reason to make distinctions of Quantity in predicating utility than in predi- cating redness. For these reasons I think that we must regard Hegel as 208 CH. VIII. SUBJECTIVITY having illegitimately added the change to Relational Predi- cates, when he ought to have confined himself to the change to Subsumption. (a) The Singular Judgment. 200. {G. L. iii. 94. Enc. 175.) All Judgments of Inherence are, as we have said, Singular in form. The Judgment of Sub- sumption, which is derived from the Judgment of Inherence, will consequently start as a Singular Judgment. Its outer form, therefore, will be exactly the same as in a Positive Judgment of Inherence — for example, " this is red " or " this is useful." But the difference is that, in the former triad, the singularity of the Judgment was an essential part of its nature as a Judgment of Inherence. Here, on the other hand, it is merely the form with which we start, which can be modified if it is found not to be suitable. 201. This Hegel considers he has already shown, in his criticism of the Positive Judgment. We must pass on to (b) The Particular Judgment. (G. L. iii. 94. Enc. 175.) The example Hegel gives of this is " some men are happy." It will be noticed that the change is more than a mere increase in the number of Individuals. Our Singular Judgment had only one Universal — the Universal in the predicate. For, as we saw above (Section 192), although, even in Judgments of Inherence, we may speak of " this rose " and not simply " this," it is only to remind us that the Individual is, in point of fact, a concrete Individual with many qualities. We did not make our assertion of redness in any way dependent on the Individual being a rose. It would have been as good an example of the category if we had only said "■ this is red." Here, however, it is the nature of our Judgment to have a Universal in the subject as well as in the predicate. The subject is defined in relation to this Universal. It is "some tnen." It is necessary that the Particular Judgment should take this form, if it is to remove the difficulty which Hegel finds in the Singular Judgment. For if we merely took a plurality of separate Individuals, instead of a single Individual, we should II. THE JUDGMENT 209 leave the difficulty untouched. It would occur about each Individual separately, and the only change would be that it would be repeated many times over. It is not transcended till we have grouped the Individuals under another Universal, and so made the Judgment the expression of the relation between two Universals. The statement "some X is Y" is, however, ambiguous. It may mean "some, but not all, X is Y," or it may leave it doubtful whether there is any X which is not F. Hegel takes it here in the former sense. " In the judgment 'some men are happy ' is implied the immediate consequence ' some men are not happy'" (G. L. iii. 95). In this, however, he seems to me to be wrong. He has no right to put any more into this new category than is required to avoid the inadequacy of the previous category. Now all that is required for that purpose is that the Individuals in the subject should be united by all being A''. It would not be at all helped by the existence of other X's which were not Y. If we take the Particular Judgment in the second sense — as leaving it doubtful if any X is not Y — then, apart from the necessity of transcending the inadequacy of Singular Judg- ments, we can see that, if Individuals have Universals at all. Particular Judgments must be true. For the relation of any number of Individuals, A,B, C, etc., to the Universal Z, which they all possess, can be expressed in a Particular Judgment, " some Y is Z," if any other Universal Y can be found which also belongs to A, B, and G. And, whatever A, B, G, etc., are, this is always the case. If there are at least two Universals which are common to all Individuals, any two Individuals which have one common Universal must also have another common Universal. And the Universals of existence and individuality — not to mention any others — are common to all Individuals. So, when we have predicated a Universal of two or more Individuals, however dissimilar in other respects those Individuals may be, we know that some other Universal may always be found, which they have in common, and can express the fact in the form of a Particular Judgment. Of course, the higher we have to go for the Universal in the subject, the less information we get. "Some judges are M«T. 1^ 210 CH. VIII. SUBJECTIVITY corrupt " gives us more information than " some functionaries are corrupt," and the latter again gives us more information than " some men are corrupt." But though the importance of the proposition which we can obtain will vary, some proposition of this form will always be true. 202. But while Particular Judgments are true, the category of Particular Judgments developes a contradiction. By taking it as a category we undertake to express the nature of the existent by it. And this cannot be done. For if a Particular Judgment is true, then something else must be true which is not expressed in the Particular Judgment. The Particular Judgment says of a certain class that some of its members have a certain Universal. This leaves it possible that some have not got it\ Thus of every member of the class we assert that it may or may not have it. But this is not the whole truth. For the truth about certain members of the class is that they do have it. And the truth about certain members of the class may be that they do not have it. Thus assertions of actual possession or non-possession must be true about each member, while all that the Particular Judgment gives us about each member is an assertion of possible possession. Now we cannot take them one by one, and, pointing to each in turn, say that A has it, B has it not, and so on. For then we should have got back to predicating Universals directly of Individuals, and this has already been decided to be in- admissible. Since the Individuals of the subject, then, are not to be taken individually, they must be united by a Universal — there is no other way. And it will not be sufficient to unite them by a Universal which covers other Individuals besides them, since this will give only a Particular Judgment. There is only one course left. We must group our Individuals by means of a Subject-Universal which just covers them, so that we can say that wherever the Subject- Universal is found the Predicate-Universal will be found too. In other words, we must be able to make general propositions, and say " all X are Z." It is not necessary, indeed, that all Z should also be X. 1 If we take the Particular Judgment as Hegel does himself ((?. L. iii. 95, loc. cit.) this is not only possible, but necessary. The rest of the argument would be unchanged. II. THE JUDGMENT 211 The position may be that all Z are either X or W, and that all X, and likewise all Tf, are Z. But every individual which is Z must have some other Universal, which Universal is never found in any case without Z. (c) The Universal Judgment. 203. (O. L. iii. 96. Enc. 175.) The advance which is made in this category is evident and striking. Here, for the first time, we become entitled to assert general propositions, other than the general propositions which make up the Logic itself That is to say, for the first time science becomes possible. However certain it might be that nothing happened without a cause, and that everything was in relations of reciprocal causality with everything else, this would not be sufiicient for science. Unless the results of that determination could be expressed in general propositions, so that we could say that some Universals are always or never found in con- junction with others, it would be impossible to classify, to predict, or to explain. This is the point at which scepticism of a certain type stops. It will admit that there really are Universals shared by more than one Individual, but it denies that there really are any general laws connecting one Universal with another. It does not merely assert that many general laws which we at present accept may possibly be erroneous, which no one could, in the present imperfect state of our knowledge, reasonably deny. It asserts that there are no true general laws at all, known or unknown, and that all inferences are erroneous which conclude the presence or absence of one Universal in an Individual from the presence or absence of another Universal. Hegel's answer would be that there must be true general propositions, as this is the only way in which the contradiction which appears in the Particular Judgment can be removed. Let us recapitulate. The Individuals of which a certain Universal is predicated must be either isolated or connected. If they are connected, it can only be by a second Universal introduced into the subject. And this Subject-Universal may either include other Individuals, of which the Predicate- 14—2 212 CH. VIII. SUBJECTIVITY Universal is not true, or it may include only those of which the Predicate-Universal is true. We have thus three cases. The first gives the Singular Judgment. The second gives the Particular Judgment. We have seen that both of these, when taken as categories, involve contradictions, and must therefore be transcended. There remains only the third alternative, and this gives us Universal Judgments. In thus transcending the categories of Singular and Particular Judgments we do not assert that no Singular or Particular Judgments are true. It may be quite true to say " this is red," or " some roses are red." What we have gained in this triad is the knowledge that "this" (whatever it may be) could not be red unless it possessed some other Universal, which is never found except where redness is found also. And the same will be true of each individual rose which is, in fact, red. The whole force of the argument for this category rests, of course, on Hegel's view that there is a contradiction in the category of Positive Judgment. Without that we could never have proceeded to Negative Judgment, or passed over to Subsumption. I have endeavoured to show that Hegel was not justified in rejecting Positive Judgment for the reasons given by him. In that case we must pronounce the transition to Universal Judgment unsound, without raising the question whether, if the contradiction in Positive Judgment could have been justified, Hegel could finally have transcended it by the course which he has taken. It is possible that the gap which this leaves in the dialectic process could be supplied. For example, it might be the case that a consideration of what is involved in the complete reciprocal determination established at the end of Essence might lead us by a shorter path to the validity of the category of Universal Judgment. But an attempt to consider this question would take us too far from Hegel to permit its introduction here. We now leave the direct consideration of the Individual for the present, since our Judgment has become a relation between Universals. This will develope a certain one-sidedness which will be counterbalanced in Objectivity. II. THE JUDGMENT 213 C. The Judgment of Necessity. 204. (G. L. iii. 101. Enc. 177.) It is to be noticed that the Necessity is not in the connexion of Universals, but in the determination of Individuals under them. The truth about the universe is now taken as expressed in Judgments of the type " all X are Z." This Judgment is not held as necessary, for there is nothing given as yet to necessitate it. But what is now necessary is the determination of the Individual. Of any Individual which is X it can be said, not only that it is Z, but that, since it is X, it must be Z. And here we get the con- ception of Necessity. (a) The Categorical Judgment. 205. {G. L. iii. 101. Enc. 177.) This, as is to be expected, is a restatement of the Universal Judgment. When, in the Universal Judgment, we found that all X were Z, that could not mean only that, in point of fact, each Individual which was X was also Z. For then the Universal Judgment would only be the abbreviated expression of a series of Singular Judgments, and could not, therefore, transcend the defects of Singular Judgments. The Universal Judgment must mean that the presence of the one Universal involves the presence of the other. And the only difference which we find when we pass to the Categorical Judgment is that the assertion of the connexion between the Universals is rather more explicit. This is marked by discarding the form of Subsumption which was still left in the Universal Judgment. Instead of saying "all lions are mammals," we now say " the lion is a mammal," Hegel tells us here, as he did before with Judgments of Subsumption, that this form is only appropriate to certain Universals. " The rose is a plant " is a legitimate Categorical Judgment, but not "the rose is red" {G. L. iii. 102). Presum- ably the Universals appropriate to Judgments of Reflection, such as transitory or useful, would also be inappropriate here. He does not in any way define the class of Universals appropriate to Judgments of Necessity. The examples he gives are " the rose is a plant," " this ring is gold," and (in the Encyclopaedia) " gold is a metal." 214 CH. VIII. SUBJECTIVITY It seems to me that this view, like the corresponding view in Judgments of Subsumption, is unjustifiable. If Hegel regards the change as first introduced in the passage from Universal to Categorical Judgments, which his words seem to suggest, this is inconsistent with the fact that he does not treat this passage as involving any advance in the dialectic, but merely as a restatement. If, on the other hand, he regards it as first introduced in the transition from Particular to Universal Judgments, he does not give any reason why this change should accompany the change from Particularity to Universality. He does show why we cannot be satisfied with a category of Particularity, and why we must proceed to Universality, but he gives no indication of any necessity for changing, at the same time, the class of predicates employed. And, again, when we come to the Syllogism of Determinate. Being, we find that any restriction on the character of Uni- versal has disappeared, though it is difficult to imagine — and we find nothing in Hegel to help us — how such a restriction, when once made, could again be removed. On all these grounds I think that the limitation to a special class of Universals must be rejected. 206. Hegel now proceeds to (b) The Hypothetical Judgment. {0. L. iii. 103. Enc. 177.) If by this category had been meant, as would naturally have been supposed, a view of existence which could be expressed in the form "if anything is X, then it is Z," there would have been no difiiiculty. It is clear that if the lion is a mammal, then, if anything is a lion, it is a mammal. The Categorical Judgment involves the Hypothetical. The only possible criticism would be that the Hypothetical Judgment is a mere restatement of the Categorical, and that this relation, though appropriate between a Synthesis and a new Thesis, is out of place between a Thesis and an Antithesis in the same triad. But this is not the Hypothetical Judgment which Hegel has in view. His example, both in the Greater Logic and in the Encyclopaedia, is, " if A is, B is." He expands this in the II. THE JUDGMENT 215 Greater Logic, " the Being of ^ is not its own Being, but the Being of another, of B." Here, again, Hegel seems to me quite unjustified in his procedure. The whole of Subjectivity is devoted to determin- ing the natui'e of Individuals by means of Universals. This is what was being done in Categorical Judgment. It is what is done again, in the next category, in Disjunctive Judgment. Is it possible that between these there should be inserted a cate- gory which determines, not the nature, but the existence, of an Individual, and which determines it, not by Universals, but by another Individual ? It would at any rate require a very clear deduction of the necessity of such a category before we could accept it. Now all that Hegel says is "the Categorical Judg- ment corresponds for the first time to its objective universality by this necessity of its immediate being, and in this way passes over to the Hypothetical Judgment " (G. L. iii. 103). This might serve to explain the transition from " the X is F" to " if anything is X, it is T" where X and Y are both Universals. It entirely fails to justify the transition from "the X is Y" to " if A is, B is," where A and B are Individuals. Nor would the return from Individuals to Universals at the transition into the Disjunctive Judgment be any more intelligible (cp. G. L. iii. 105). The category must then, in my opinion, be rejected. (c) The Disjunctive Judgment. 207. {G. L. iii. 10.5. Enc. 177.) Although Hegel's tran- sition from Categorical to Disjunctive Judgments thus breaks down, we can see that a transition from Categorical to Dis- junctive Judgments is necessary. We know that there are cases in which it is true that all X are Z, while it is false that all Z are X. The proof of this is as follows. Any two Individuals, as we have seen, will have some Universals in common, and each of them will have some Universals which the other has not. Let us take Z as standing for a Universal common to some two Individuals, and Q and R as two Univei'sals each of which belongs to one of them only. The first Individual will be ZQ, and the second ZR. Now as any predication of Universals of any Individual can only be made by means of a Universal Judgment, there must be some 216 CH. VIII. SUBJECTIVITY X such that all X will be ZQ. Then all X will be Z, but all Z will not be X. For all X are Q, and all Z are not Q, since there is the class ZR, of which our second Individual was an example. We know, therefore, that in some of our Universal (or Categorical) Judgments the predicate will be wider than the subject. All X will be Z, but there are some Z which are not X. Now these Individuals, which are not X, cannot be Z as simply isolated Individuals. This, according to Hegel, was proved when we transcended Positive Judgments. Each of these Individuals must have some Universal, with which Z is con- nected by means of another Categorical Judgment. How many of them there may be we do not know, but we do know that every Individual which has Z, must have one of them. Thus we arrive at the conclusion that all Z is either X, or W, or V, where W and F represent an unknown number of Universals. Of course this does not exclude the possibility that in some cases the connexion of the Universals is reciprocal, so that not only all X is Z, but all Z is X. This cannot, for the reasons just given, be true in all cases, but it can in some. Thus we may say that the category before us asserts that for every Universal Z there may be found a group of Universals, X, W, V, such that whatever is X, W, or V is Z, and that whatever is Z is either X, W, or V, and asserts further that in some cases the group X, W, V, may contain only a single Universal, bat that it is impossible that this should be so in all cases. The necessity of passing from Categorical Judgment to Disjunctive Judgment applies, of course, to the nature of existence and not to our knowledge about it. If Categorical Judgments are true of existence, then Disjunctive Judgments are true of existence. But if our knowledsie enables us to make a Categoi^ical Judgment on any subject, it by no means follows that it will enable us to make the corresponding Disjunctive. I may know that the lion is a mammal, without knowing the complete list of species, to one of which every mammal must belong. In the same way a Positive Judgment can be known without knowing the corresponding Universal. I may know- that this Individual is red, without being able to determine what Universal it possesses, the possession of which involves II. THE JUDGMENT 217 redness, though, if Hegel is right, such a Universal must exist. 208. The two sides of the Judgment are now, according to Hegel, "identical" {G. L. iii. 110). By this he means that they have the same denotation. Every Z is either X or W or V, while all X, all W, and all V are Z. Thus the denotation of Z is the same as the denotations of X, IT, and V added together. " This Unity," he continues, " the Copula of this Judgment, in which the extremes have come together through their identity, is thereby the Notion itself, and, moreover, the Notion as posited ; the mere Judgment of Necessity has thus raised itself to the Judgment of the Notion." D. The Judgment of the Notion. 209. {G. L. iii. 110. Enc. 178.) This transition appears to relate exclusively to the relation of the Subject with the Predicate. But here, as with Judgments of Subsumption and Judgments of Necessity, Hegel introduces, along with this distinction, the further distinction that only a special sort of Predicates are appropriate for Judgments of this form. The examples he gives are good, bad, true, beautiful and correct. All these, as he remarks, have reference to some ideal (ein Sollen). But he establishes no connexion between these Predicates on the one hand, and, on the other, the closer relation between Subject and Predicate which formed the transition to Judgments of the Notion. Nor is there any connexion between the use of such Predicates, and the three subdivisions of Judgments of the Notion, of which the first is (a.) The Assertoric Judgment. (G. L. iii. 112. Enc. 178.) The example given of this is "this deed is good." This does not appear to differ from a Categorical Judgment, except in the sort of Predicate used. But the Assertoric Judgment does differ from the Categorical Judgment in another characteristic, thouorh this characteristic does not seem to have any relation to the closer connexion of Subject and Predicate which was given in the passage quoted above as the characteristic of Judgments of the Notion. The new difference concerns, not what is asserted, but the 218 CH. VIII. SUBJECTIVITY justification which he who asserts it possesses for his assertion. "Its proof is a subjective assurance" {G. L. iii. 113). 210. And this gives the transition to the next category, for, as Hegel goes on to remark, " over against the assurance of the Assertoric Judgment there stands with equal right the assurance of its opposite." If the only ground for believing this deed to be good is that the assertion is made, then we are plunged in doubt. For it is equally possible to make the assertion that this deed is not good, and one assertion is as good as another. This doubt takes us to {G, L. iii. 114. Enc. 178) (b) The Problematic Judgment. 211. Hegel does not give any reason why we must pass from this category to the next. He merely gives the transition without justifying it. Instead of simply saying "the deed is good," we must say " the deed of such and such a nature is good." Here the nature of the deed is, in effect, given as a reason why we should accept the Judgment that it is good rather than the Judgment that it is not good. This is (c) The Apodictic Judgment. (G. L. iii. 116. Enc. 178.) The characteristic of the Sub- ject, thus given as the reason why the Subject should have the Predicate, is said by Hegel to be the Copula of the Judg- ment become "completed or full of content (erflillte oder inhaltsvolle) ; the unity of the Notion again restored out of the Judgment, in the extremes of which it was lost." From this Hegel makes his transition to Syllogism. 212. Is this triad of the Judgment of the Notion valid ? I believe that it is not, and that the transition ought to go direct from Disjunctive Judgment to Syllogism. In support of this I would urge four considerations. In the first place, grave suspicion is thrown upon the triad by the fact that, if it is accepted, it gives Judgment as a whole four subdivisions instead of the three which are essential to Hegel's method. The excuse which he gives for this is that of the " three chief kinds of Judgment parallel to the stages of Being, Essence, and Notion," the second "as required by the II, THE JUDGMENT 219 character of Essence, which is the stage of differentiation, must be doubled" {Enc. 171). This however cannot be accepted as a justification for Judgment having four subdivisions, when other stages have only three. For, throughout the whole dialectic, the second subdivision of the three in each stage always corresponds to Essence, and, if this involved dividing it into two, four subdivisions would be the invariable rule, and not the exception. The second difficulty is still more serious. The Assertoric, Problematic, and Apodictic Judgments are distinguished from one another, and from those which precede them, not by any distinction in the propositions asserted, but by distinctions as to the characteristics of mental states of those who assert the propositions. An Assertoric Judgment is one believed firmly, but without a reason. A Problematic Judgment is one which is regarded as possibly, but not certainly, true. An Apodictic Judgment is one which is believed firmly, with a reason for believing it. Hegel, indeed, denies {G. L. iii. Ill) that these categories are thus subjective. But he does not explain what other meaning they can have, and when he comes to treat them in detail, as we have already seen, his treatment is inexplicable except on the hypothesis that they have this meaning. For the Assertoric Judgment clearly differs from those which go before it in something else besides the sort of Predicates applicable. This is evident both from the transition to it, and from its name. And if this new feature is not " our subjective assurance" of it, why does Hegel, on p. 113, give that account of it ? And what else could that new feature be ? And how, if it were not a question of beliefs rather than pro- positions, could two be opposed to one another with equal right, as Hegel in the transition to Problematic Judgments asserts that they are ? So, too, with the Problematic Judgment. This arises because two incompatible Assertoric Judgments about the same Subject are held with equal right. Now this cannot possibly produce any new Judgment about the Subject, but may very well produce a doubt and uncertainty about each of them. It seems impossible to deduce anything else here, and 220 CH, VIII. SUBJECTIVITY this makes the distinction relate entirely to the way in which we believe the truth. And the name clearly indicates the same fact. Problematic means doubtful, and no proposition is doubtful except in relation to the knowledge of some particular knower. I may be doubtful whether A is B, but A cannot be doubtfully B. It is B or it is not. The same is, I think, the case with the Apodictic Judgment. The examples Hegel gives are not decisive. The nature of the deed might be given either as the reason why it was good, or as the reason why I believed it to be good. But it seems clear to me that Hegel regarded the Apodictic Judgment as differing from the Assertoric and Problematic in the same manner in which the Assertoric and Problematic differ from one another. In that case the Apodictic Judgment is also a category which applies to beliefs only, and not to all realities, and the reason given in it is not the reason of the fact believed, but the reason of the belief If Hegel has introduced either two or three categories of this sort here, his treatment is clearly invalid. The whole argument of the dialectic rests on the supposition that all the categories are applicable to the same subject-matter — namely all existent reality. Again, the Disjunctive Judgment clearly applied to all existence, and not merely to beliefs. How could we deduce from it a new category which applies merely to beliefs ? It seems impossible to conceive how such a deduction could be justified, and certainly Hegel does not attempt to justify it. And, in the same way, how could he be justified in passing back, from categories which deal merely with beliefs, to categories which deal with all existence? And, by the time he reaches Syllogism he has certainly done this. 213. In the third place, the transition to the Judgment of the Notion seems to me erroneous. It is no doubt the case, as was said above, that Judgments made according to Hegel's category of Disjunctive Judgment have the same denotation for their Subjects and their Predicates. But I cannot see how this would enable us to pass to the Judgment of the Notion, where the denotations are not identical, though the connotations are said to be more closely connected. Nor can I see why Assertoric, Problematic, and Apodictic Judgments should be III. THE SYLLOGISM 221 the subdivisions of Judgment of the Notion, defined as Hegel has defined it. In the fourth place the Judgment of the Notion can be removed without destroying the continuity of the dialectic. For it is not difficult to see that Syllogism necessarily follows from Disjunctive Judgment. Syllogism starts, as we shall see, with the position that it is necessary to give some reason why the two Universals in a general proposition are connected with one another. Now this necessity will be seen so soon as we find that two Universals are connected in such a way — that is, in the Categorical Judgment. In the Disjunctive Judgment the question becomes more pressing, since the alternative nature of the connexion renders it more obvious that we must face the problem. Z is in some cases X, in some cases W, and in some cases V. Why, in each case, is it the one and not the other ? Thus Syllogism could follow directly from Disjunctive Judgment. For these four reasons I think that the Judgment of the Notion must be rejected. 214. We now pass to III. The Syllogism. ((t. L. iii. 118. Enc. 181.) The essential characteristic here is the mediation of the connexion between two Universals. The connexion, in the first place, is made by what was, in Apodictic Judgment, the reason (cp. above, Section 211). This is based on another Universal. The reason that the deed was good was that its nature had a certain characteristic, and such a characteristic is expressed by a Universal. Thus media- tion is by a third Universal, which gives us A. The Qualitative Syllogism. {G. L. iii. 121. Em. 183.) This is again divided by Hegel, the subdivisions being named after the Figures of formal logic. We shall have to consider later whether this is valid, but there is at any rate no doubt that, if we are to have these divisions, we must begin with the First Figure. For the linking of Universals gives Universal Propositions, some of which are Affirmative. And Universal Affirmative Propositions can only be proved by the First Figure. 222 CH. VIII. SUBJECTIVITY (a) First Figure. (G. L. iii. 122. Enc. 183.) Hegel says that this category can be expressed as I P U. The Subject of the conclusion, that is, is an Individual, the Predicate of the conclusion is a Universal, and the Middle Term is a Particular. This seems unjustifiable. The distinction between Particular and Universal Notions at the beginning of Subjectivity(cp. above, Section 190) does not apply to the Middle and Major terms of a Syllogism of the First Figure, and if Hegel means anything else here by Universal and Particular, he does not tell us what it is. Nor has he, I think, any right to bring in the Individual here. In the Categorical Judgment the result reached was a connexion of two Universals. In several places between that and the present stage Hegel speaks as if the Subject of the Judgment might or must be an Individual, but he never expressly acknowledges this transition, or attempts to justify it. We have no right here to deal with any connexion except that between Universals. Nor does the formal logic, of whose Figures he has availed himself to provide names for his categories, offer any excuse for the introduction of the Individual. For the Individual is not recognised by formal logic, which treats "Caesar is mortal" as a proposition of exactly the same type as "all Bishops are mortal." 215. How is the inadequacy of the First Figure proved ? Hegel makes two objections to its validity. The first is as follows. The Subject has many characteristics which may be used as Middle Terms, and each Middle Term, again, can connect it with many Major Terms. Thus it is "con- tingent and capricious" (zufallig und willkiirlich) with what Major Term the Subject will be connected, and also what Predicate will be given it in the conclusion {G. L. iii. 127. Enc. 184). This is quite true. All Cambridge Doctors of Divinity are Anglican clergymen, and are graduates of the University. From the first of these, as a Middle Term, we can conclude either that they have been ordained, or that they are incapable III. THE SYLLOGISM 223 of sitting in Parliament. From the second we can conclude, either that the Graces for their degrees passed the Senate, or that they were presented for their degrees by a member of the University. All four conclusions are true, but it is quite contingent and capricious which we shall take. There is nothing in the idea of the Subject "all Cambridge Doctors of Divinity " to decide which we shall prefer to the others. But how does this produce a contradiction? The Subject is united, by two Middle Terms, to four Predicates. But why should this not be the case ? If, indeed, we had to choose one in preference to others, a difficulty would arise, for no ground of preference is given. But there is no necessity to choose. For all these Judgments can be true of the Subject together. The defect which Hegel thinks that he has found here is like the defect which he says constitutes the inadequacy of the category of Variety (cp. above, Section 116). But while it was a defect there, it is not one here. There the whole point of the category was to range things by their Likeness or Unlikeness to one another. And no such arrangement was possible, if everything was connected with everything else both by Likeness and Unlikeness. Here it is different. No doubt it is the case that Individuals, or classes of Individuals, are Like or Unlike one another, by reason of the Universals which can be predicated of them. But the point here is not arrangement simply as Like or Unlike, but arrangement as sharing or not sharing certain Universals. Thus arrangement is possible though each Individual or class should be Like or Unlike every other, because it would be in virtue of different Universals. There is thus no necessity to take one grouping rather than another, because the different groupings are now compatible, which was not the case in the category of Variety. And thus the fact that the preference of one grouping to another Avould be " contingent and capricious " while it is a valid objection to the category of Variety, is not a valid objection here. Hegel asserts (G. L. iii. 127) that this contingency involves that contradictory Predicates must be held true of the same Subject. He bases this on the statement that "Difference, which is in the first place indifferent Variety, is just as 224 CH. VIII. SUBJECTIVITY essentially Opposition (Entgegensetzung)." But he makes no attempt to prove that the two different Predicates must necessarily be incompatible Predicates, which is what his sentence must mean if it is to bear out his assertion. And his examples {G. L. iii. 128) do not help him. The first which he gives — the rest are substantially similar — is " If from the Middle Term that a stick was painted blue, it is concluded that it therefore is blue, this is concluded correctly ; but the stick, in spite of this conclusion, can be green, if it has also been covered over with yellow paint, from which last circumstance, taken by itself, would result that it was yellow." It is true that a stick cannot at once be blue and green. But the first conclusion — that it is blue — could only be reached from the Minor Premise which Hegel gives, "this stick has been painted blue," by the help of the Major Premise " what- ever has ever been painted blue is now blue." And this Major Premise is notoriously false, so that one of the contradictory conclusions has not been proved. In each of the other examples he gives the same fallacy is present. The contradictory con- clusions do not follow legitimately from the diverse premises, but only follow by the aid of other premises which are false. 216. But Hegel also gives another objection to this category, and this, I think, must be accepted as valid. We reached the category by taking the position that two Universals which are connected with one another must have their connexion mediated by a third. But the third Universal, being connected with the first and the second, will, on the same principle, require a fourth and a fifth Universal to mediate these connexions. The four connexions so established will require four fresh Universals, and so on infinitely (G. L. iii. 130. Enc. 185). The Infinite Series thus established will involve a contra- diction, for the earlier members are logically dependent on the later, as no Universal can mediate till it is connected with the Universals it mediates, and, to be connected, it must itself be mediated by Universals given in later members. Thus Hegel rejects the category, on this second ground also, as invalid. 217. Hegel considers that these defects require the altera- tion of the Middle Term. The Individual is now become the Middle Term, and the Syllogism will no longer be represented III. THE SYLLOGISM 225 by I P U, but by P I U. And in this he finds a transition to what he calls (b) Second Figure. (G. L. iii. 132. Enc. 186.) By this, however, he means, as he explains in the Greater Logic (iii. 135), what is generally called the Third Figure. (In the Encyclopaedia he also uses the name in this unusual sense, without any warning that he has departed from the common custom.) The defect here, according to Hegel {G. L. iii. 134), is that the new form "ought to correspond to the Species, that is, the Universal Schema, I P U. But to this it does not correspond... the Middle Term is on both occasions Subject, in which there- fore the other two terms inhere." The fault is thus in the position of the Middle Term — the same characteristic which, as we see in formal logic, prevents a Syllogism in this Figure from having any but a Particular conclusion. 218. Hegel then tells us that "the Individuality connects the Particular and the Universal in so far as it transcends the determination of the Particular ;... the extremes are not con- nected through their determined relation which they had as Middle Term ; it is therefore not their determined unity, and the positive unity, which it still has, is only abstract Uni- versality" {G. L. iii. 136). The Middle Term is thus U, and the new form of the Syllogism is I U P. This, according to Hegel, gives us (c) Third Figure. (G. L. iii. 137. Enc. 187.) This is what is usually called the Second Figure. This leads only to negative conclusions. Hegel mentions this {G. L. iii. 138), but does not regard it as the ground of the inadequacy of the category. The inadequacy lies in the fact that the Universal, which is the Middle Term, has no inherent connexion with either of the extremes, and would have to be connected with them by a fresh process, independent of the original Syllogism, All this, he says, is just as contingent as in the preceding forms of the Syllogism. {d) Fourth Figure. 219. {G. L. iii. 139. Enc. 188.) This is not the Fourth Figure of formal logic, which he rejects as useless {G. L. iii. 138. M'=T. 15 226 CH. VIII. SUBJECTIVITY Enc. 187). What he substitutes for it is what he calls the Mathematical Syllogism, of which, he tells us, the formula is U U U. Its principle, he also tells us, is " if two things are equal to a third, they are equal to one another." The three equal things are apparently taken as the three terms. The relation between the three things in question, however, is by no means the relation between the terms of a Syllogism. The third thing, whose equality to each of the others is the basis of the argument, may be said to mediate between them, but not in the same way as the Middle Term of a Syllogism does. And if we were to take this Fourth Figure seriously, there would be the additional difficulty that it would disregard the triadic movement of the dialectic. Hegel, however, does not take it seriously. The Fourth Figure is not a legitimate and necessary stage in the dialectic process. It is only the result which would be reached if we took the wrong track. This seems clear from the following passage. " The merely negative result is the disappearance of qualitative determinations of form in mere quantitative and mathematical Syllogisms. But what we really get (was wahrhaft vorhanden ist) is the positive result, that the media- tion does not take place through an individual qualitative determination of form, but through the concrete identity" of the extremes. "The defect and the formalism of the three Figures of the Syllogism consists just in this that such an individual determination had to serve as their Middle Term. The mediation has thus determined itself as the indifference of immediate or abstract determinations of form, and as positive Reflection of the one into the other. The immediate Qualitative Syllogism is thus transferred into the Syllogism of Reflection " {0. L. iii. 141). Thus the real movement of the dialectic is from the Third Figure to the Syllogism of Reflection. Under these circumstances it seems curious that Hegel should have given the Fourth Figure as a separate heading, as if it were a real category. 220. I have given the transitions from each Figure to the next without criticising the validity of each transition taken by itself, because I believe that the argument is invalid as a whole. The Second and Third Figures appear to me to be unjustified. III. THE SYLLOGISM 227 What Hegel calls the First Figure should, in my opinion, be the whole of an undivided category of Qualitative Syllogism, and from this the transition should be made directly to Syllogism of Reflection. Hegel gave, as we saw above, two objections to the validity of the First Figure. The first was the contingency of the Middle Term relatively to the Subject, and of the Predicate relatively to the Middle Term. The second was the infinite series of mediations which would be required. The first objection, as I endeavoured to show, was unfounded. If this is really the case, then any valid transition to the Second Figure must be determined by the second objection. Now this is not what happens. The Second and Third Figures do not even profess to remove this defect, or to alter it in any way. The infinite series of mediations would arise in them just as inevitably, and exactly in the same way, as in the First Figure. The transition, therefore, is invalid. And not only do the Second and Third Figures fail to remove the defects of the First, but they reintroduce defects which had been long ago transcended. For the (Hegelian) Second Figure can only prove Particular conclusions, and the (Hegelian) Third Figure can only prove Negative conclusions, and we saw, when we treated of Judgments of Inherence and Subsumption, that no category could be possible according to which only Negative, or only Particular, propositions were true. These categories therefore, so far from being more adequate than the First Figure, are less adequate, Hegel seems more or less to realise this when he condemns the Second Figure on the ground that it does not, as it should do, " correspond to the Species, that is, the universal Schema, I P U" (G. L. in. 134; cp. above. Section 217). For I P U is, according to Hegel, the Schema of the First Figure. But if the Second Figure is wrong because it is not the First, how can it take its place in the dialectic series as the successor of the First? I have not thought it necessary to consider whether Hegel was right in appropriating the Schema P I U to his Second Figure, and I U P to his Third Figure. The enquiry is superfluous if, as I have tried to show, the Second and Third 15—2 228 CH, VIII. SUBJECTIVITY Figures have no rightful place in the dialectic at all. And again any enquiry as to the particular appropriation is superfluous, if, as I have also tried to show (cp. above, Section 214) Hegel was wrong in introducing the conceptions of Individual and Particular terms into any of the Figures of Qualitative Syllogism. 221. The omission of the Second and Third Figures will not leave any gap in the dialectic process. For we can pass quite legitimately from the First Figure to the Syllogism of Reflection. If every connexion of Universals must be mediated by a Universal, we are involved in a contradictory infinite series. But this might be averted if Universals were mediated by something else, for perhaps the connexions of this something else with a Universal might not again require mediation. What else could mediate the connexion of Universals, except Uni- versals ? There is nothing left but Individuals \ We have seen above (Section 202) that it is impossible that the Universal Judgment should be equivalent to a series of Judgments about mere Individuals. We have now to consider whether the Universal Judgment can be based on such a series of Judg- ments. This would take us direct to Hegel's Syllogism of Reflection from his First Figure. 222. On all these grounds, therefore, I think the Second and Third Figures should be rejected. We now arrive, whether by the argument just given, or by Hegel's argument quoted above, at B. The Syllogism of Reflection. (a) The Syllogism of Allness. (G. L. iii. 149. Enc. 190.) In this category the fact that all Z are X is held to be dependent on the facts that this, that, and the other things which are Z are also in point of fact X. " This, that, and the other " here include all the things which are Z. Since each of them individually is X, it is certain that all Z are X. If the House of Lords has a gallery for strangers, and the House of Commons has a gallery for strangers, then all houses of the British Parliament have galleries for straugers. 1 It will be remembered that both the Universal Notion and the Particular Notion of the beginning of Subjectivity have, since the beginning of Judgment, been classed together as Universals (cp. above, Section 192). III. THE SYLLOGISM 229 This category corresponds to the logical process called Perfect Induction, and not to any form of Syllogism. Hegel, however, speaks of a Syllogism of Allness. His example is " all men are mortal, Caius is a man, therefore Caius is mortal." This differs, according to him, from the ordinary Syllogism of the First Figure, because the Major Premise is reached by a complete enumeration of Individuals — though, of course, in the example he has taken, this could not be the case. It seems to me, however, that Hegel is wrong here. No doubt we can use the result of the Perfect Induction as the Premise of a Syllogism. Bat what corresponds to the Syllogism of previous categories is not the Syllogism which Hegel gives here, but the proposition he takes as Major Premise. In Qualitative Syllogism two Universals were mediated by a third Universal, and this mediation made the Syllogism. Here two Universals are mediated by an enumeration of Individuals, and it is the proposition thus reached which corresponds to the Syllogism in Qualitative Syllogism. The change is that while in Qualitative Syllogism we reach the conclusion " all men are mortal " by some such argument as " all men are animals, and all animals are mortal," here we should reach it by an enumera- tion of Individuals. What was done before by Syllogism is not now done by Syllogism but by enumeration, and thus the name of Syllogism here is incorrect. 223. Hegel's objection to this Syllogism {G. L. iii. 151. Enc. 190) is that the conclusion presupposes the Major Premise. We could not know, in this way, that all men were mortal, unless, among others, we knew that Caius was mortal. Thus we cannot prove the mortality of Caius from the mortality of all men. This is, no doubt, correct, but, as was said above, the category is exemplified in the assertion that all men are mortal, not in the assertion that Caius is mortal, and the objection is therefore irrelevant. Hegel now proceeds to (6) The Syllogism of Induction. (G. L. iii. 152. Eyic. 190.) Here we have a category which corresponds to ordinary Induction. The connexion between the two Universals is mediated by the fact that they do occur 230 CH. VIII. SUBJECTIVITY together in some of the Individuals included in the denotation of the Subject, We conclude that all men are mortal, because it is so as a matter of fact in those cases which we have examined. The transition to this category is not brought out very clearly by Hegel, but we can see that it will remove the defect which he found in the last. When we have established by induction that all men are mortal, we may conclude that Caius is mortal without necessarily arguing in a circle. For Caius may not have been one of the men on whose mortality we founded the general statement. He may, for example, be still alive. The defect which Hegel finds in this category is that our enumeration of the Individuals can never be complete. {G. L. iii. 154. Enc. 190.) It is not at first evident why we should wish to have it complete, since then we should get back to the previous category, which has already been abandoned as in- adequate. But as he ends his criticism with the words " the conclusion of Induction remains problematic" he appears to have in his mind the fact that no general conclusion arrived at by Induction can be more than probable, and that therefore we can never, by means of such a conclusion, arrive at absolute certainty as to any Individual. The only Individuals as to whom we can be certain are those Avhose natures formed the basis of our Induction. And these are not the whole number. 224. The defect of Induction compels us, according to Hegel, to pass to (c) The Syllogism of Analogy. (G. L. iii. 1-55. Enc. 190.) The example which he gives of this is " the earth has inhabitants, the moon is an earth, there- fore the moon has inhabitants." If we remove the ambiguity in the use of earth, it might be put as follows : " the planet on which we live is an earth, and is inhabited ; the moon is an earth, therefore it is inhabited." This is an Induction, based on a single instance. It does not seem, however, that the fact that there is only a single instance, is essential to the category. Hegel says (G. L. iii. 157) that earth is taken here "as some- thing concrete, which in its truth is just as much a universal III. THE SYLLOGISM 231 nature or species, as it is an individual " ; and he continues that the category breaks down because we cannot tell whether the first Individual has the second quality because it has the first quality, or for some other reason. We cannot, e.g., be sure whether it is because it is an earth, or for some other reason, that this planet is inhabited. If it were for some other reason, we could not be sure that the moon shared the quality of being inhabited. It seems, therefore, that Analogy is Induction made explicit. When, in Induction, we conclude that, since A,B, C, etc. are all both X and F, therefore all things which are X are T, we also implicitly conclude that there is some intrinsic connexion, direct or indirect, between X and Y. If there is no such intrinsic connexion, our conclusion would be illegitimate. And this connexion between the qualities X and Y is made explicit in Analogy. It is the impossibility of being certain of that connexion, as has just been pointed out, which wrecks Analogy. And it is this impossibility, also, which prevented us from ever reaching an absolutely certain Induction. 225. From this category Hegel passes to the Syllogism of Necessity as follows : " The Syllogism of Eeflection, taken as a whole, comes under the Schema P I U : in it the Individual as such still forms the essential determination of the Middle Term ; but in so far as its immediacy has transcended itself, and the Middle Term is determined as Universality in and for itself, in so far the Syllogism has come under the formal Schema I U P, and the Syllogism of Reflection has passed over into the Syllogism of Necessity" {G. L. iii. 159). This transition seems to me unconvincing. It is true that there is a certain appropriateness in calling the Middle Term of the explicit Induction of Analogy by the name of Universal. And the nature of the Middle Term of the new category is also such as to give some appropriateness to the description of it as Universal. But in the two cases Universal is used in different senses. It means much more in the Categorical Syllogism, which is the first form of Syllogism of Necessity, than it did in the Syllogism of Analogy. It is natural that it should do this. For the Categorical Syllogism is not, as we should expect from its position, a mere ■232 CH. VIII. SUBJECTIVITY restatement of the Syllogism of Analogy after a collapse into Immediacy. The Syllogism of Analogy has, according to Hegel, broken down, and the transition to the Syllogism of Necessity removes a contradiction. The new category must be an advance, then, and not a mere restatement, and it is an advance, for it contains, as we shall see, an entirely new conception. If this is the case, Hegel's account of the transition must be wrong, for he speaks as if the Universality of the Middle Term in Analogy had already brought us to the Syllogism of Necessity, and as if, therefore, there was no real advance. 226. The criticism which I venture to suggest on the triad of Syllogism of Reflection is that, here as in the Qualitative Syllogism, the subdivisions are unjustified. The conception which Hegel treats, under the Syllogism of Allness should have been the sole content of an undivided Syllogism of Reflection. No doubt Induction and Analogy, as processes of acquiring knowledge, are quite different from so-called Perfect Induction. But categories are descriptions of reality and not processes of acquiring knowledge, and I cannot see that any separate description of reality corresponds to these processes. The category which we reached in the Syllogism of Allness asserted that the validit}" of Universal Judgments depends on the fact that every Individual, which possesses the Subject- Universal, possesses, as a matter of fact, the Predicate-Universal also. We have seen that this category corresponds to the logical process of Perfect Induction. But how shall we find a second category to correspond to the logical process of Induction in the ordinary sense of the word ? The difference between the processes of acquiring knowledge is that in Perfect Induction the conclusion is based on an examination of all the Individuals who possess the Subject- Universal, while in ordinary Induction we examine only some of them. Hegel's category of Induction would thus have to mean that the validity of Universal Judgments depends on the fact that some of the Individuals, which possess the Subject- Universal, do, as a matter of fact, possess the Predicate- Universal also. What could be meant by this dependence on some of the III. THE SYLLOGISM 233 Individuals ? In the case of the Judgment all X are F, it is clear that it cannot mean that the rest of X (those which are not included in the "some") are not-F, since the conclusion is that they are all F. It could only mean that, while every X was F, yet some of them were F in their own right, and exercised some power which caused the other X's, to be F, and so made the general proposition true. This conception would not be in any way an advance on the Syllogism of Allness, nor would it remove any of the difficulties to which that category was exposed. On the contrary, it would add to them by introducing a new complexity — the difference between the " some " X's and the other X's — which had not been deduced from the previous category, and could not be justified. The logical process of Induction can give a natural and reasonable meaning to the " some " — namely that though, if the law is true, every X is F, yet there are only some cases in which this has been ascertained when the Induction is made. But the distinction between known and unknown cases is irrelevant to the metaphysical category. Thus we must reject the category of Induction. And, if Analogy is only explicit Induction, Analogy must go too. This leaves Allness, as the sole form of the Syllogism of Reflection. Here, as with the Qualitative Syllogism, the error seems to have arisen from Hegel's attempt to push a parallel too far. There is one category which has a real resemblance to the Syllogism of deductive logic, aud another which has a real resemblance to induction as a whole. But the attempt to find categories corresponding to the different figures and the different varieties of induction has led to errors. And here, as with Qualitative Syllogism, the dialectic process goes all the better for the simplification. The undivided Syllogism of Reflection is the Antithesis of which Qualitative Syllogism was the Thesis. The transition from the one to the other was shown above (Section 221). And this new Antithesis, we can see, will break down. For we saw, in dealing with Judgments of Inherence and Sub- sumption, that a Judgment about an Individual could only be 234 CH. VIII. SUBJECTIVITY valid when it was dependent upon a Universal Judgment. Since all Individual Judgments must be based upon Universal Judgments, it is obviously impossible that all Universal Judgments should be based upon Individual Judgments. It thus becomes evident that it is impossible that all Universal Judgments should be mediated. Whether we attempt to mediate them by Universals or by Individuals we have found that insuperable difficulties presented themselves. Only one alternative remains — to assert that some, at any rate, among Universal Judgments, do not require mediation. And this takes us on to Hegel's next category C. The Syllogism of Necessity, (a) The Categorical Syllogism. 227. (G. L. iii. 161. Enc. 191.) The first feature of the Categorical Syllogism is that the Middle Term is the essential nature of the Subject of the conclusion, and, in the same way, the Predicate of the conclusion is the essential nature of the Middle Term. And thus the contingency disappears, which arose from the fact that the Subject might be taken as connected with auy one of several Middle Terms, and each Middle Terra as connected with any one of several Predicates {G. L. iii. 162). This contingency, it will be remembered, was treated by Hegel as a defect of the First Figure. He regards it as finally removed here, making the assumption that a Term can only have one " essential nature," so that there is here no alternative Middle Term for a Subject, and no alternative Predicate for a Middle Term. " Since," he continues, " the connections of the extremes with the Middle Terms have not that external immediacy which they have in the Qualitative Syllogism, the demand for a proof does not come in here in the same way as in the Qualitative Syllogism, where it led to an Infinite Series" {G. L. iii. 162). In this way the second defect of the First Figure is removed. It is clear, therefore, that Hegel regards the essential connections of the Categorical Syllogism as being ultimate connections. They may be used to mediate, but they do not themselves require mediation. III. THE SYLLOGISM 235 Here, then, for the first time, Hegel regards the defects of the First Figure as transcended. And this confirms my view that the subdivisions of Qualitative Syllogism and Syllogism of Reflection are mistaken. For the special defect of each category should be cured when we reach the next Synthesis. And, by the simplification I propose. Syllogism of Necessity is the next Synthesis after these defects have manifested them- selves. The connexions in the new category are, according to Hegel, " essential," so as to remove the first defect of the First Figure, and ultimate, so as to remove its second defect. If I was right in my previous contention that the first defect — the con- tingency— has not been shown to involve the inadequacy of the First Figure, and that the only real necessity for a transition lay in the second defect, we shall have to take a somewhat different view, since the " essentiality " of the connexions will not have been deduced. We shall only be able to say that the connexions are ultimate — that certain propositions of the form "all X is Y" are true, without any mediation of the connexion being either possible or necessary. Whatever other characteristic the connexions may have, they are certainly ultimate. And, therefore, I think Hegel is wrong in calling this category by the name of Syllogism, for reasons analogous to those which made me regard the name of Syllogism as improper when applied to Allness, Induction, and Analogy (cp. above. Section 222). The categories of Qualitative Syllogism were called by the name of Syllogism because, from the point of view of those categories, every pro- position had to be mediated by two others, which were the premises, while it was the conclusion. Now we have reached a point where we see that all propositions need not be mediated in this way, but that some do not require mediation. Thus the characteristic which made the name appropriate is gone. That characteristic was the fact that the truth of every proposition depended on the truth of two others from which it followed logically. The Syllogism which Hegel gets here is one in which a derivative and mediated conclusion follows from two ultimate premises. And it is, of course, true that many propositions 236 CH. VIII. SUBJECTIVITY have a derivative truth of this kind, dependent on the truth of two ultimate propositions. But the essential characteristic of this category — the characteristic which enables it to remove the defects of the First Figure — is not that the ultimate Judgments can mediate, but that they do not themselves require mediation. In other words, the essential characteristic is not that they can be the premises of Syllogisms, but that they need not be the conclusions of Syllogisms. And this logical priority of the ultimate Judgments to Syllogisms, makes the name of Syllogism inappropriate here. A better name for the category, I suggest, would have been Ultimate Laws. (b) The Hypothetical Syllogism. 228. (G. L. iii. 164. Enc. 191.) Hegel's example of this is " if A is, B is ; but A is, therefore B is." It seems to me that Hegel has erred here in the same way as in the Hypo- thetical Judgment (cp. above, Section 206). From the ultimate Categorical Judgment "all A is B," it certainly follows that the ultimate Hypothetical Judgment, " if anything is J., it is B," is also true, and that this can be made, if we wish to do so, a pre- mise in a Syllogism. But, as we have just seen, Hegel's Hypothetical Syllogism is not this, but something quite different. And how are we to pass from " all A are B," where the same Individuals are A and B, and " are " is only a copula, to " if A is, B is," where A and B are different Individuals, and " is " seems to be an assertion of existence ? Hejjel does not tell us how this can be done — he does not seem indeed to realise the greatness of the difference — and I fail to see how such a transition is to be demonstrated. Nor do I see how we could make the further transition from it to "A is either B, C, or D" of the Dis- junctive Syllogism, since that takes us back again to the same type of proposition as we found in Categorical Syllogism. 229. The transition to the Disjunctive Syllogism from the Categorical Syllogism is, I think, valid, although it appears to violate the triadic movement by moving directly without an Antithesis. (The valid Hypothetical "if anything is A, it is B " will scarcely serve as an Antithesis, since it is only a re- statement of the Categorical.) III. THE SYLLOGISM 237 The transition is as follows. We have seen that the nature of Individuals must be based on Universal Judgments. And we also saw (Section 207) that from the fact that every In- dividual is Like and Unlike every other Individual it follows that some of these Universal Judgments must be such that it is true that all X is Z, when it is false that all Z is X. If this is the case, it will follow that there are not only true Judgments of this type, but true ultimate Judgments. For we have now reached the conclusion that the whole content of all Judgments must be found in ultimate Judgments. The derivative Judgments only combine what is found in their ultimate premises, and give no new truth. The nature of Individuals is therefore based on ultimate Universal Judgments. And as that nature requires for its expression Judgments that all X is Z, while all Z is not X, there must be true ultimate Judgments of this type. Those Individuals which are Z without being X must be connected with Z by one or more other Universals, whose connexion with Z is ultimate. And thus we reach the con- clusion that the nature of the universe is expressed by Universal Judgments of the type that all Z is X, W, or V, where all X, all W, and all V are Z, and where Fand TT represent a number of Universals which may vary indefinitely from zero upwards, though we know that in some cases it is greater than zero\ Thus we reach (c) The Disjunctive Syllogism {G. L. iii. 167. Enc. 191.), for this, as given by Hegel, is a Syllogism of which the Major Premise is one of these Judgments. 230. The position at which we have arrived is that the nature of the universe is expressed by ultimate Universal Judgments which are such that by their means is expressed both the Likeness and the Unlikeness which every Individual bears to every other Individual. Hegel would regard all these ultimate Judgments as forming a single hierarchy, without cross-classifications. For he says 1 It can be zero in some cases, because these are cases where it is true both that all X are Z, and that all Z are X (cp. Section 207). 238 CH. VIII. SUBJECTIVITY that, in the Syllogism of Necessity, every Subject has only one possible Middle Term, and every Middle Term only one possible Predicate. Thus everything has only one higher class to which it can immediately be referred, and cross-classifications V70uld be impossible. Whether this single system of classification could possibly explain the whole complex nature of existence is a difficult problem which Hegel does not discuss. In the absence of any treatment of the subject by him, it is sufficient to say here that the conclusion that each Subject could only have one possible Middle Term, and each Middle Term only one possible Predicate, arose from the asserted necessity of removing the " contingency " in the First Figure. If, as I have tried to show, that contingency is not a defect, and need not be removed, the conclusion will not be justified. In that case, the connexion of Universals, expressed by the ultimate Judgments can be more complex, and can admit of cross-classifications. 231. In the ultimate Disjunctive Judgments found in Dis- junctive Syllogisms we have the conception of the Self- Differentiating Notion. (So far as I know, the phrase is not Hegel's own. At any rate he does not use it frequently. But it is often used by commentators, and it expresses a conception which has great importance for Hegel.) This conception is simpler than the name would suggest. It means nothing but a Notion, which is always accompanied by one of a certain number of subordinate Notions, the connexion between the first Notion and its subordinates being intrinsic — not due to any outside circumstance, but to the nature of the terms — and also being ultimate and not derivative. (In the case of the Notions contemplated by the present category the subordinate Notions are of less extent than the self-differentiating Notion, and they are peculiar to it, so that no cross-classification is possible.) Let us, for example, assume that it is true that all finite spirits must be either angels, men, or brutes. Then if the connexion between the terms is not external, but intrinsic, and not derivative but ultimate, the Notion of a finite spirit would be one which was said to differentiate itself into angels, men, and brutes. The conception of a self-diff'erentiating Notion has often III. THE SYLLOGISM 239 been misunderstood. It has been supposed that by such a Notion Hegel meant one from whose nature the nature of the subordinate Notions could be deduced by pure thought. We should only have to take the conception of the class, and examine it with sufficient care, and it would proceed to develops the conceptions of its sub-classes. The mythical German who conducted his zoological studies by endeavouring to evolve the idea of a camel from his inner consciousness was acting very much in this manner. Such a theory is obviously incorrect, nor do I believe that there is the slightest evidence to support the view that Hegel held it. The only case in which Hegel professes to evolve anything by pure thought is in the dialectic. He there evolves only categories, which are themselves forms of pure thought. But most of the Notions which Hegel held to be self-differ- entiating contain an empirical element. And there is nothing to suggest that Hegel believed that a new empirical idea could ever be produced by pure thought. Nor, even in the dialectic, does Hegel give us a Notion differentiating itself by pure thought. The lower (in the sense of the less adequate) passes into the higher, but the higher (in the sense of the more extensive) never splits itself up into the lower. (This very important distinction has, I think, sometimes escaped the notice both of disciples and of critics of Hegel, and this has sometimes led to considerable con- fusion.) The self-differentiation of a Notion, then, does not imply any inherent dialectic. It only means that it is an ultimate and intrinsic characteristic of that Notion, that it is always united with one of several others. What those others are must be discovered by us through observation and experiment, and, when they are found, the conjunction must be accepted by us as an ultimate fact. Some of the mistakes about the self-differentiating Notion may be due to the name, which is rather misleading. The active participle suggests a logical, if not a temporal process, and so leads us to suppose that the unity is the agent which produces the plurality, and is therefore prior to it. This _might to some extent be remedied if we were also to use the 240 CH. VIII. SUBJECTIVITY correlative phrase of a self-unifying multiplicity, which would be as true a description of the same fact. With tl]e Disjunctive Syllogism we reach the end of Sub- jectivity. The treatment of Subjectivity in the Encyclopaedia does not differ from that in the Greater Logic, though its extreme condensation renders it more obscure. CHAPTER IX OBJECTIVITY 232. The divisions of Objectivity are as follows : I. Mechanism. (Der Mechanismus.) A. The Mechanical Object. (Das mechanische Objekt.) B. The Mechanical Process. (Der mechanische Process.) (a) The Formal Mechanical Process. (Der formale mechanische Process.) (6) The Real Mechanical Process. (Der reale me- chanische Process.) (c) The Product of the Mechanical Process. (Das Produkt des mechanischen Processes.) C. The Absolute Mechanism. (Der absolute Mechanis- mus.) (a) The Centre. (Das Centrum.) (6) The Law. (Das Gesetz.) (c) Transition from Mechanism. (Uebergang des Mechanismus.) II. Chemism. (Der Chemismus.) A. The Chemical Object. (Das chemische Objekt.) B. The Chemical Process. (Der chemische Process.) C. Transition from Chemistry. (Uebergang des Che- mismus.) III. Teleology. (Die Teleologie.) A. The Subjective End. (Der subjective Zweck.) B. The Means. (Das Mittel.) C. The Realised End. (Der ausgefiihrte Zweck.) M<=T. 16 242 CH. IX. OBJECTIVITY 233. We saw reason in the last chapter to reject the view that Subjectivity meant the inner as opposed to the outer. It meant that which is contingent or capricious, as opposed to that which is universal and inevitable. It is thus natural that the next division should be called Objectivity. The contingent and capricious character of the classification, which had been present through the subdivisions of Notion and Judgment was recognised, at the beginning of Syllogism, in the First Figure, as a defect which proved the inadequacy of the category, and was finally transcended in the Syllogism of Necessity, the classific^atiou in which, according to Hegel, was no longer contingent and capricious, but universal and necessar3\ It is natural, therefore, that the next division, which preserves this result, should be called Objectivity. 234. Hegel's account of the transition to Objectivity is as follows. " The Syllogism is mediation, the complete Notion in its position (Gesetztsein). Its movement is the transcending of this mediation, in which nothing is in and for itself, but each is only as it is mediated by another. The result is therefore an Immediacy, which has arisen through transcending the media- tion, a Being, that is just as much identical with the mediation and with the Notion, which has restored itself out of and by means of (aus und in) its Otherbeing. This Being is therefore a fact, which is in and for itself — Objectivity" (G. L. iii. 170. Cp. also Enc. 193). I cannot regard this as satisfactory. The line of the argu- ment appears to be that at the end of Subjectivity the mediation is merged, that this produces immediacy, and that this forms the transition to Objectivity. But how has this mediation been merged ? Surely it has not been completely merged. It is true that iu the Disjunctive Syllogism it is an immediate fact that Z is either X, or W, or V, and that the connexions of X, W, and V with Z require no mediation. But, in any particular Individual, Z will be connected either with X, or with W, or with V, and not with all three. Mediation will therefore be necessary to determine with which of them it is connected, and a transition based on the absence of mediation is incorrect. Moreover, when we consider the detail of Objectivity, we I. MECHANISM 243 find that mediation is not dispensed with, but that there is mediation, though of a different sort from that in Subjectivity — the new sort of mediation being directed to the issue just mentioned, the connexion of Z with X, e.g., rather than with W or V. 235. I venture to suggest a line of argument which I believe to be valid in itself, and also to lead, as Hegel's own does not, to the mediation which he describes in the categories of Mechanism. In the last chapter (Section 187) I sketched this transition in anticipation. In considering the transition from the last categories of Essence to Subjectivity, I pointed out that " things are doubly connected — by similarity and by reciprocal causation. And it is obvious that a thing may be, and generally is, connected by the one tie to things very different from those to which it is connected by the other." And I submitted that the dialectic " first takes up the relation of similarity, and works it out through the course of Subjectivity. Then in Objectivity it proceeds to work out the relation of determina- tion— not going back arbitrarily to pick it up, but led on to it again by dialectical necessity, since Subjectivity, when fully worked out, shows itself to have a defect which can only be remedied by the fuller development of the relation of determi- nation." We have now reached the end of Subjectivity, and we have found that it does, in fact, possess such a defect. Our position at the end of Subjectivity was that the nature of the univense could be explained by judgments of the type " every Z is either X or W" But such knowledge is necessarily incomplete. For of any given Individual which is Z, we know it is either X or W, but we do not know which it is. And yet it is certain that it is one of them, and that it is not the other. How is this to be determined ? Subjectivity cannot do it^ We require a 1 Hegel makes the ultimate Disjunctive Judgment the Major Premise of a Syllogism, the conclusion of which determines the Individual. " Every Z is either X or IF, this Z is not W, therefore it is A'." In this case however, he has introduced a Minor Premise which is not a Universal Judgment, and has thus gone beyond Subjectivity which has transcended, and never re-introduced. Judgments other than Universal. 16—2 244 CH. IX. OBJECTIVITY further determination of objects which their inner nature, as we are able at this stage of the dialectic to understand it, cannot give us. What can remain ? It can only be determi- nation from outside. And thus we are naturally led back at the end of Subjectivity to the conception of the reciprocal connexion of Individuals by determination — that very con- ception which we had temporarily ignored while dealing with Subjectivity. Thus the argument takes the course that might be anticipated from the nature of the dialectic. When we left one element of Reciprocity behind, and, in the Thesis of the Doctrine of the Notion, devoted ourselves to developing the other side only, we could predict that the incompleteness thus created would require us to develop the other element of Reciprocity in the Antithesis. And this is exactly what has happened. We are now on the point of beginning the Anti- thesis— namely Objectivity — and the course of the argument has led us back to the ignored element in Reciprocity. I. Mechanism. 236. {G.L. iii. 180. Enc. 195.) In the first place, Hegel says, the Individuals, now called Objects, are taken as merely externally connected by this reciprocal determination. And this is Mechanism, whose character, he tells us, is that " what- ever relation takes place between the connected things, that relation is alien (fremde) to them, does not belong to their nature, and, although it unites them with the appearance of a One, remains nothing more than a collocation, mixture, or heap (Zusammensetzung, Vermischung, Haufen) " {G. L. iii. 180). A. The Mechanical Object. {G. L. iii. 181. Enc. 195.) The definition of this, as often happens in the dialectic, is identical with that of the larger division, of which it is the first subdivision. The other two subdivisions modify and correct the characteristic idea of Mechanism. But here it is given in its full extent. Each Object enters into external relations of reciprocal determination with all others outside it, but these external relations are not affected by, and do not affect, the internal nature of the Objects related. In the Encyclopaedia the category of the Mechanical I. MECHANISM 245 Object is known as Formal Mechanism, and this expresses the nature of the conception better than the title in the Greater Logic. When we are dealing with any subject-matter accessible to our experience, so extreme a view as this can only be accepted as a methodological expedient. It may sometimes be con- venient, for some temporary and limited purpose, to consider things as if their external relations had no influence on their inner nature, or their inner nature on their external relations. But experience teaches us, too plainly to be disregarded, that every external relation which holds of any of the things which we perceive does affect the inner nature of that thing, and that, on the other hand, the external relations which hold of things are largely determined by their inner nature. * Atoms, however, cannot be directly perceived, and in their case, therefore, empirical knowledge is powerless to check the errors of theory. And the theory of Atoms has sometimes got very near to the position of Formal Mechanism. It would not, indeed, assert that the inner nature of the atoms was entirely a matter of indifference to their outer relations. They could not, for example, repel one another, except by some property of impenetrability. But it has been asserted that a change in their outer relations makes no change in their inner nature, and that their inner nature has no influence in deciding which, of various possible relations, should be the one into which they should actually enter. Hegel says that this is the standpoint of Determinism {G. L. iii. 18.3). The expression does not, at first sight, seem very appropriate, since one of the chief characteristics of the category is that the inner nature of the Object is not determined by its outer relations. But it is the determination of the outer relations themselves to which Hegel refers here, and the signifi- cance of the name is negative. It denotes the fact that, so far as these reciprocal determinations are concerned, there is no self-determination on the part of the Object. If we ask why it is determined in this way rather than that, we can only attri- bute it to determination by another Object. In no case can the Object be self-determined in these reciprocal determinations, for its inner nature has nothing to do with them. 246 CH. IX. OBJECTIVITY 237. This category, Hegel tells us, breaks down because of the contradiction which arises between the indifference of the Objects to one another, and their connexion with one another (G. L. iii. 184). He takes the reciprocal determination of two Objects as introducing an identical element in each of them. This is to be expected, for, as we saw in Chapter VII., he regards Cause and Effect as identical, and the reciprocal determination which we have here is, of course, reciprocal causation. But this error — if, as I have previously maintained, it is an error — does not affect the validity of his position that there is a contradiction between the indifference of the Objects and their connexion by reciprocal determination. In the earlier stages of Essence there would have been no contradiction in such a case. For there the Surface and the Substratum were conceived as having natures more or less independent of each other, though more or less connected. To determine the Surface would not necessarily involve the determination of the Substratum. Thus, if the inner nature of the thing were taken as Substratum, and its relations of reciprocal determination with other things were taken as Sur- face, the two might be as independent as this category requires. But in the course of the Doctrine of Essence we learned that the inner nature of a thing cannot be mei^ely inner, but that it, and the whole of it, must be manifested by the external nature of the thing. And, conversely, no outer nature can be entirely outer. There can no more be anything in the Surface which has not its root in the Substratum, than there can be anything in the Substratum which does not manifest itself in the Surface. And thus the category of the Mechanical Object contains a contradiction. It demands that the inner nature of the Object shall be indifferent to its external relations of reciprocal deter- mination. But these external relations belong somehow, and in some respects, to the Object, or there would be no meaning in calling them the external relations of that Object. They are not its inner nature. They must, therefore, be its outer side, or part of its outer side. Thus the category of the Mechanical Object demands an outer side which does not affect the inner side. And this is just what was proved in the Doctrine of Essence to be impossible. I, MECHANISM 247 If then the outer relations and inner nature of the Object are not absolutely independent, how do they stand to one another ? The prima facie assumption, since they at any rate profess to be different, is that they are two separate realities acting on one another. The arguments given above, indeed, suggest that the connexion is closer than this, but Hegel prefers to approach the truth gradually, by stating and trans- cending this view of the interaction of separate realities. This forms the second subdivision of Mechanism, and he entitles it B. The Mechanical Process. {G. L. iii. 184. Erie. 196.) In the Encyclopaedia this category is called " Differenter Mechanismus," which Wallace translates Mechanism with Affinity. The significance of this name appears to be that one Object is no longer as suitable as another to enter into any particular relations. Since the inner nature has some influence on the outer relations, only those Objects can enter into any particular relations whose inner nature possesses particular qualities. 238. Hegel divides this category into three subdivisions. This seems to me mistaken, for the first subdivision, so far as I can see, only repeats the conception of the Mechanical Object, while the third is only the transition to Absolute Mechanism. Thus the second subdivision gives the only conception peculiar to the triad, and might have been taken as the undivided category of Mechanical Process. (This course is taken by Hegel in the Encyclopaedia.) The first subdivision is called (G. L. iii. 186) (a) The Formal Mechanical Process. 239. Of this Hegel says {G. L. iii. 190) that the determi- nation which the Object receives through it is merely external. It is this which makes me think it identical with the last category, the essential characteristic of which was the externality of the determinations. If this is so, the same arguments which carried us into Mechanical Process will carry us into its second subdivision, (b) The Real Mechanical Process (G. L. iii. 190), where it is admitted that the reciprocal determinations do affect the inner nature of the Object, 248 CH. IX. OBJECTIVITY To this category, Hegel says (0. L. iii. 192), belongs the idea of Fate — a blind Fate, conceived as crushing and ignoring the Objects which are in its power. This conception of the sacrifice of the Object to the order of things outside it could not have arisen in the category of the Mechanical Object, since there the interior of any Object was quite untouched by external circumstances, and could not be sacrificed to them. And in the next category, that of Absolute Mechanism, the opposition of inner and outer is replaced by the perception of their unity, and with it there vanishes the idea of Fate as an alien and crushing power — to return again, on a higher level, in the category of Life, but to be again transcended in the category of Cognition. But, between the Mechanical Object and Absolute Mechanism, our present category is precisely the proper sphere of Fate. For outside and inside are connected just so much that the former may act on the latter, just so little that there is no harmony between them. Fate has the individual Objects in its power, " subjectos tanquam suos, viles tanquam alienos." If we carry this line of thought one step backwards we may say that if we looked at man under the category of the Mechanical Object, we should get a morality not unlike that of the Stoics. For morality is in the long run concerned only with the inner states of people, which are the only things which possess ultimate valued If everyone was happy, virtuous, and otherwise good, all external relations would be quite indifferent to morality, which only cares for external matters in so far as they affect the goodness (in the widest sense) of conscious beings. And if the inner nature of man, as of all other Objects, were independent of his external relations, then, whatever his circumstances, it would be in the power of each man to be completely good. Such a view would, of course, tend to produce absolute indifference to the affairs of the external world. But from such a view as this we are necessarily driven, if ^ The view that nothing but the states of conscious beings possesses value as an end is not universal, but is maintained by almost all philosophers. The arguments in the text would have no validity for those who denied this view. I. MECHANISM 249 we do not refuse to look facts in the face, to the Fatalism which we have seen to be characteristic of the category of the Mechanical Process. It is all very well to say that a man has the power to be free, virtuous and happy under any circum- stances. But the circumstances may include a badly trapped sewer which sends him out of the world, or a blow on the head which sends him into an asylum, or an education which leaves him with a complete ignorance of virtue, or a lively distaste for it. It is useless to try to escape from our circumstances. Such an " escape from Fate is itself the most unhappy of all Fates " as Hegel says elsewhere. For the attempt to escape generally deprives us of much of our power over our circumstances, while it by no means deprives them of their power over us. 240. Hegel does not state explicitly the arguments which lead from this category to the next, but we can easily supply them, for they were really anticipated when we passed from the Mechanical Object to the Mechanical Process. There is no opposition between the inner and outer nature of an Object, because there is no difference between them. They are only the same thing seen from different points of view. The internal nature of each Object consists of qualities. And all these qualities are only in that Object because they are externally determined to be so. The general laws which we dealt with in Subjectivity can never by themselves assign any quality to any Object. They can only say that if one quality is there, another will, or will not, be there. They are only hypothetical. The actual existence of any qualit}'^ in any Object is due to the relations of reciprocal determination with other Objects which form its outer nature. Thus the internal qualities are only the expression of the outer relations. But the outer relations are just as much only an expression of the inner qualities. If A and B are related by reciprocal determination, then J.'s qualities will be an expression of its relation to B, and 5's qualities of its relation to A. But again the relation of ^ to £ which determines 5's qualities will be an expression of ^'s qualities. For if -d's qualities had been different, it would have determined B differentlv. And likewise the relation of -S to J. which 250 CH. IX. OBJECTIVITY determines A's qualities will be an expression of 5's qualities^ And so, to come back to Fatalism, we see that it is really impossible for the inner nature of an Object to be crushed. If the inner nature of an Object is said to be XYZ, then either it has it, or it has it not. If it has it, it has it, and then the inner nature is not crushed, but exists in its fulness. But if it has it not, then XYZ is not the Object's inner nature at all, and the Object is not in the least crushed or thwarted because it is not XYZ. Why should it be XYZ, if in point of fact it is not ? Of course this would not be a solution of the problem of Fate for self-conscious beings, but this is because the nature of a self-conscious being cannot be adequately brought under our present category. In the case of any being with a power of conscious self-determination, the inner nature will include volitions of some sort, and if outside circumstances prevent those volitions from being realised, then we can intelligibly speak of the inner nature being thwarted. For the inner nature in such a case is not merely a fact, but it is a fact part of which is a demand, and a demand can be real and yet unsatisfied. Thus Hegel says " Only self-consciousness has a true (eigentlich) fete ; for self-consciousness is free, in the indi- viduality of its I it is in and for itself, and can place itself over against its objective universality, and treat itself as alien against it" {G. L. iii. 193). This true fate is not transcended till we reach a higher category. We thus reach {G. L. iii. 193) (c) The Product of the Mechanical Process, which Hegel treats as identical with the first subdivision of Absolute Mechanism, to which we now proceed. C. The Absolute Mechanism. 241. (G. L. iii. 194. Enc. 197.) This is divided in the Greater Logic into three subdivisions, the first of which is 1 I venture to think that, if Hegel had worked this out further, it would have provided a more satisfactory transition to Teleology than is afforded by Chemism. But it would take us too far from Hegel's text to attempt to develope this view. I. MECHANISM 251 (a) The Centre. (G. L. iii. 194.) According to this category, every Object is the centre of a system composed of all the other Objects which influence it. As everything in the universe stands in reci- procal connexion with everything else, it follows that each of these systems embraces the whole of existence, and that they are distinguished from each other by the fact that each has a different Centre. Since Hegel has connected the Mechanical Object with Determinism, and the Mechanical Process with Fatalism, we may say that in Absolute Mechanism we return again to the conception of Freedom, which we reached at the end of Essence. For Freedom, according to that conception, only consists in acting according to one's nature, and we now see that there is no power in the universe which could possibly make any Object do anything not in* accordance with its nature. Freedom, in the higher sense in which it is applicable to conscious beings, is not reached till the " true fate " has been transcended, which Hegel speaks of above {G. L. iii. 193). We have, then, the Central Object, the determining Objects, and the relations between them. The surrounding Objects are called by Hegel the Relative-Central Objects, while the re- lations themselves are, somewhat curiously, called the Formal Objects. Each of these, Hegel points out, may be called the Universal. He apparently means by the Universal that term which is taken as uniting the other two. And any one of the three may occupy that position. The Central Object may be taken as uniting the other two, since those determining Objects could only have those relations with just that Central Object. (If there were a different Central Object they would determine it differently, and so be in different relations to it.) But again we may consider the determining Objects as the Universal. For that Central Object could only have those relations with just those determining Objects. And again the relations may be taken as Universal. For that Central Object could only be connected with those determining Objects by just those relations {G. L. iii. 196. Enc. 198). 252 CH. IX. OBJECTIVITY 242. It should be noticed that the example of the category given by Hegel in both Logics {G. L. iii. 197. Enc. 198) is misleading. He makes either the State or the Government take the place of the Central Object, while the citizens are the determining Objects. Now the State and the Government differ from the citizens, not only as one citizen does from another, but in a more fundamental way. And thus the example would suggest that there are some Objects Avhich are by their nature fitted to be the Central Objects of systems, while others are fitted only for the humbler position of de- termining Objects. But this, as we have seen, would be a mistake. For every possible Object is equally subjected to the category of Mechanical Process, and we saw in the course of the deduction that every Object to which the category of Mechanical Process was applicable, became the centre of a system of Absolute Mechanism. Indeed, we may say that the example, in the form which it takes in the Encyclopaedia, is not only misleading, but incorrect. For there he speaks of the State as the Central Object. Now the State is not an Object distinct from the citizens, which can act and react on them, as each of them does on the rest. It is, as no one realised more fully than Hegel, a unity of which the individual citizens are the parts. It is, no doubt, for Hegel a very close unity, and not a mere aggregate, but still it is a unity which only exists in the citizens, and not side by side with them. And thus the citizens cannot be determining Objects with the State as their Central Object. The example as given in the Greater Logic cannot be called positively incorrect. For Hegel there speaks only of the Regierung, and not, as in the Encyclopaedia, of the State also. Now Hegel probably took Regierung to mean a separate class — the king, civil servants, etc. — and, if so, it would form a separate Object by the side of the citizens, which could enter into relations of Mechanism with them. But the example would still be misleading, as suggesting an intrinsic difference between those Objects which were fitted to be Central Objects, and those which were not. 243. We now enter on the course of argument which leads to Chemism by the gradual obliteration of the independence of I. MECHANISM 253 the Object. This is not fully attained in the Greater Logic till the category of Chemical Process, between which and our present category three others intervene. In the Encyclopaedia, however, where Absolute Mechanism and Chemism are un- divided categories, the whole movement is performed in a single stage. It will, I think, be better to state and criticise the argument in this simpler form, before tracing the more elaborate course of the Greater Logic. The statement of the Encyclopaedia is as follows (199). " The immediacy of existence, which the objects have in Absolute Mechanism, is implicitly negatived by the fact that their independence is derived from, and due to, their connexions with each other, and therefore to their own want of stability. Thus the object must be explicitly stated as in its existence having an Affinity (or a bias) towards its other — as not-in- different." I conceive that Hegel's meaning is this. The whole nature of each Object depends on the relation between it and other Objects. But each of these relations does not, of course, belong exclusively to the one Object, but is shared by it with another. The nature of a particular piece of wax consists, for example, partly in the fact that it has been melted by a particular fire. But this melting is just as much part of the nature of the fire. The fact is shared between the wax and the fire, and cannot be said to belong to one of them more than to the other. It belongs to both of them jointly. Thus the only subject of which the relation can be pre- dicated will be the system which is formed by these two Objects — Objects which are now said to be in Affinity with (different gegen) one another. This, then, will be the true unity determined by this relation. But two Objects cannot form a closed system, since all Objects in the universe are in reciprocal connexion. Our system of two Objects will have relations with others, and will be merged with them, in the same way in which the original Objects were merged in it, since the relations, which alone give individuality, are found to be common property, and so merge their terms, instead of keeping them distinct. The system in which all the Objects, and all their relations, are contained, becomes the only true Object, of which 254 CH. IX. OBJECTIVITY all the relations contained in the system are adjectives. The individual Objects disappear, and we reach the category of Chemism. I think that this is what Hegel means, and at any rate it is quite clear that, when he has reached Chemism, he regards the different Objects as having collapsed into one Object. But I cannot see that this is justified. The conclusion from the essentiality of the relations to the unreality of the terms could only be valid if things lost their reality and stability in so far as they were connected with others. But the reverse of this is true. We have seen, with gradually increasing clearness as the dialectic advanced, that it is to their relations with what is outside them that all things owe their independence and stability. 244. We now proceed to the argument of the Greater Logic, whose elaboration does not introduce any really new factors, thous^h it rather confuses the issue. At the end of his treatment of the category of the Centre, Hegel says " the system, which is the merely external determination of the Objects, has now passed over into an immanent and objective determination ; this is the Law" {G. L. iii. 198). {h) The Law. (G. L. iii. 198.) Of this he says on the same page "This reality, which corresponds to the Notion, is an ideal reality, different from the former reality which only strove ; the Differ- ence, which was previously a plurality of Objects, is taken up into its essentiality, and into the pure universality." This, however, does not take us more than one step on the way to Chemism, for the Objects are still possessed of a separate existence. "The soul is still sunk in the body" (G. L. iii. 199). The Law, apparently, is recognised as more important than the Objects which it connects, but it has not removed their stability. 245. Now, however, Hegel proceeds to prove their instability by an argument similar to that employed in the Encyclopaedia. " The Object has its essential stability only in its ideal centrality, and in the law of the centrality ; it has therefore no power to resist the judgment of the Notion, and to maintain itself in II. CHEMISM 255 abstract undetermined stability and exclusion" (G. L. iii. 200. The phrase "judgment of the Notion" has clearly no reference to the particular division of Subjectivity which bore that name). We thus reach {0. L. iii. 199) (c) Transition from Mechanism. 246. Here we have the Object in its Chemical form, no longer stable, but unstable by reason of its Affinity towards the related Object. Thus we pass to II. Chemism. {G. L. iii. 200. Enc. 200.) Chemism is not further divided in the Encyclopaedia, but in the Greater Logic it has three sub- divisions, of which the first is A. The Chemical Object {G. L. iii. 200), which appears to be exactly the same as Transi- tion from Mechanism ^ We have again Objects, still different from one another, but unstable by means of their Affinity. 247. Now, however, he proceeds to argue, as in the En- cyclopaedia, that " the Chemical Object is not comprehensible by itself, and that the Being of one is the Being of the other " {G. L. iii. 202). With this merging of the Objects into one, he reaches B. The Chemical Process. {G. L. iii. 202.) Here the full conception of Chemism is attained, and we have come to the same point which was reached in the Encyclopaedia by the simpler argument given above. The Object produced by merging the other Objects into one is called the Neutral Object. This name, and the expression that the Object has "sunk back to immediacy" {Enc. 202) suggest that the Neutral Object is undifferentiated. And we ^ This is not in accordance with the general method of the dialectic. Transition from Mechanism is a subdivision of the fifth degree, while the Chemical Object is a subdivision of the fourth degree. Thus they do not stand to one another as Synthesis and new Thesis, and it is only categories which do this which, according to the general method of the dialectic, are identical in content. 256 CH. IX. OBJECTIVITY can see that this would naturally be the case. For, in pro- portion as the related Objects lost their several reality, the relation between them would lose its reality. The relation of melting only exists between a fire and a piece of wax, if they are taken as different, though connected, Objects. If there were no fire and no wax there would be no relation of meltingf. Thus besides the separate Objects and their qualities, the relations also have gone, and nothing remains which could differentiate the Neutral Object. 248. The category now reached gives us, says Hegel, an oscillation between the Neutral Object on the one hand, and, on the other hand, two Extremes, distinct, but connected and in a state of tension. It is, I think, clear that Hegel is asserting a category of alternation and not an alternation of categories. It is not, according to him, that we alternately regard existence as a Neutral Object and as a tension of Extremes, but that we hold throughout our treatment of the Chemical Process a position which asserts that the existent itself continually passes from one of these forms to the other. The passage to Chemical Process — this appears to be Hegel's meaning — gives us the Neutral Object. But the Neutral Object is undifferentiated, "it has sunk back to immediacy." It has therefore no true unity. So it splits up into the Extremes, which are the old separate Objects. But the Ex- tremes, being " biassed and strained " — that is, in connexion with each other, fall back into the Neutral Object, and the process goes on ad infinitum. This endless oscillation is apparently Hegel's ground for rejecting the category as in- adequate. (The account of this in the Encyclopaedia is clearer than that in the Greater Logic, but the meaning of both is the same.) 249. To the validity of this argument there appears to me to be two objections. In the first place, if such a Neutral Object were reached, it would not split up into Extremes, as Hegel makes it do, but would vanish altogether. Such a Neutral Object could have nothing outside it, for it is to be co-extensive with a mechanical system, and we have seen that every mechanical system is co- extensive with the universe. And again the Neutral Object, ir. CHEMiSM 257 being uudiffereutiated, could have nothing inside it. It would have no determination left, external or internal. In other words, it would have returned to Pure Being, which, as we learned at the beginning of the Logic, is equivalent to nothing. We should be back again where we started, and the dialectic process could never pass this point, but would always return back on itself in a circle which could never be transcended. But even supposing that the Neutral Object did split up into its Extremes, and that the perpetual oscillation between it and them could be established, where is the contradiction in this that could take us on to the next category? The continual oscillation is, of course, what Hegel calls a False Infinite. But a False Infinite, as we have seen, though always regarded by Hegel as something valueless and unsatisfactory, is not regarded by him as necessarily involving a contradiction. It is only certain False Infinites which he regards as doing so. He gives no reason why this one should be counted among them, nor do I see what reason could be given. But, without some demonstration that this particular False Infinite is contradictory, we have no valid transition to the next category. I submit, therefore, that the conception of Chemism is unsatisfactory, alike as regards the transition to it, the con- ception itself, and the transition from it, and that it must be rejected. And, as I said above (Section 240, note), I believe a more attentive consideration of the category of Absolute Mechanism might very possibly yield a new category, which would in its turn offer a valid transition to Teleology. 250. Hegel's transition to the next category is made by arguing that this oscillation shows the inadequacy of the forms — Neutral Object on the one hand, and Extremes on the other — which succeed one another in the Chemical Process, and that this inadequacy leaves the Notion which Avas (imperfectly) shown in each of them, standing free from them (G. L. iii. 208. Enc. 203). I quote the account in the Encyclopaedia, which seems to me more clearly expressed than the corresponding passage in the Greater Logic, though I do not think there is any difference in meaning. Speaking of the processes from Neutral Object to Extremes, and from Extremes to Neutral Object, he says that each "goes its own way without hindrance M'^T. 17 258 CH. IX. OBJECTIVITY from the other. But that want of inner connexion shows that they are finite, by their passage into products in which they are merged and lost. Conversely the process exhibits the non- entity of the pre-supposed immediacy of the not-indifferent Objects. — By this negation of immediacy and of extei'nalism in which the Notion as such was sunk, it is liberated and invested with independent being in the face of that externalism and immediacy." This is Hegel's argument, and its meaning does not seem to me doubtful. Its validity is not so clear. It is not evident why the fact that each form gives place to another form, in unending oscillation, should enable us to assert that the Notion, which is the uniting principle of both, should be able to do without either. It is still less evident why we should be entitled to assert, as Hegel proceeds to do, that the Notion thus freed embodies itself in the form of the category of Teleology. In this way Hegel passes to {G. L. iii. 206) C. Transition from Chemism. 251. The question arises, with regard to the Notion of which Hegel has just spoken (which we may conveniently distinguish as the Chemical Notion), whether there are more than one of such Notions in the universe, or whether there is only one. The answer will be of considerable importance, not only with reference to the present category, but throughout the divisions of Teleology and Life. Hegel's language gives us no reason for one answer rather than another, but it seems to follow logically from his treatment of Chemism that there can be only one Chemical Notion. For it seems clear that there can be only one Chemical system. It is true that there were many systems of Absolute Mechanism, and that the transition to Chemism professed to show that each system of Absolute Mechanism must now be regaided as a Chemical system. But apparently they would have all to be regarded as the same Chemical system. It must be remembered that each system of Absolute Mechanism contained all the Objects in the universe. The systems were only differentiated from one another by the fact III. TELEOLOGY 259 that each system had a different Object for its Centre. Now this possibility of differentiation disappears in the Chemical system. A Chemical system is made up of a Neutral Object and Extremes. Two Chemical systems could not be dif- ferentiated from each other by means of different Neutral Objects, for the Neutral Object is the result of merging all the Objects of the universe together, and therefore there could only be one in the universe. Moreover, if the Neutral Object is undifferentiated, there could be nothing to distinguish one Neutral Object from another. And Hegel appears to regard the Neutral Object as capable of splitting into Extremes in one manner only, so that the Chemical systems could not be differentiated from one another by the possession of different Extremes. Thus we seem forced to the conclusion that there is only one Chemical system, and, therefore, only one Chemical Notion. 252. The category of Transition from Chemism, as a Synthesis, is naturally identical with the Thesis of the new triad. We pass at once, therefore, to this new triad, which is III. Teleology. (G. L. iii. 209. Enc. 204.) The Chemical Notion has now, Hegel tells us, become the End. The End is the element of unity in the categories of Teleology, and the correlative element of plurality is the Means. Hegel departs considerably from the common usage in the meaning which he gives to the terms Teleology, End, and Means. What is generally meant by Teleology is what Hegel calls " finite and outward design," in which some independently existing object is used by some self-conscious being as a means for carrying out some plan which he has conceived. In " out- ward design " the Means and the End can exist independently ; for the End can exist in the mind of the designer, even if there are no available Means to carry it out, while the object-s which are used as Means do not derive their entire existence from that use, but may have existed before the End was formed, and might still have existed, if the End had never been formed. 17—2 260 CH. IX. OBJECTIVITY Hegel tells us that his use of these terms resembles Kant's, of whose conception of Teleology the best example is to be found in organic life (G. L. iii. 213. Enc. 204). By the help of this, and of the indications given by Hegel in the discussion of the subdivisions of the category, we can, I think, see what Hegel means by a Teleological system. It is, on the one hand a system the intrinsic nature of whose parts is dependent on their place in the system. Not only their external relations, but their whole nature, can only be explained, or even described, by reference to the system, and, through the system, to the other members of it. On the other hand the unity, the End, can only be stated as the unity which does connect just those parts. It cannot have a sejDarate description, as is the case with the Ends of "finite design." We can see that a living body offers the best possible example of this, though not quite an adequate one\ For the parts of an organism at any rate approximate to that degree of close connexion in which none of them have any nature at all which is not expressed in and dependent on their place in the system. And, on the other hand, if we ask what is the nature of the unity which holds together the parts of any organism, we can only say that it is the unity which does express itself in just those parts connected in that way. It is, it must be noted, this organic unity which is the End of the organism, in Hegel's and Kant's use of the word. The purpose of its creator or its parent, in creating or begetting it, or the purposes which the spiritual being connected with it uses it to fulfil, are only Ends of finite design. 253. A similar unity to this may be found in a picture, in so far as it possesses aesthetic merit. For then the explanation and justification of each detail in the picture will be found in its place in the scheme of the picture as a whole, and, through that, in its relation to the other details. On the other hand, if we ask what the scheme of the picture is, what is the unity which makes it aesthetically meritorious, we can only say that it is the unity which is expressed in just those parts, arranged in just that manner. It admits of no separate statement. The failure of organisms to afford an adequate example of Teleological ' will be discussed in the next chapter (Section 266). unity will be d III. TELEOLOGY 261 Here, again, we must distinguish this innei' unity of the picture, which is its End in the Hegelian sense, from the purpose of the artist to represent a particular scene in his picture, and from the more fundamental purpose which led him to paint the picture — desire for fame, for money, or the like. These are only Ends of finite design, and they admit of statement in other terms than simply that they are the End of this picture. In ordinary language the tei'm Means may signify either the material in which an End is embodied and realised or the instruments by which that material is adapted. If I propose as an End to make a statue, both the marble and the chisel would be called Means to my End. But when Means is used as the correlative to End in the Hegelian sense, there is no question of instruments, and the Means are simply the plurality in which the unity of the End is embodied. That this is the case appears also from the two arguments by which Hegel demonstrates the inadequacy of the category of Means (see below, Sections 259, 260). 254. We can now see that Teleology is a Synthesis of the positions of Mechanism and Chemism. In Mechanism the unity of a system of Objects is one of themselves — the Central Object. The unity is not yet a distinct moment in the system, correlative to the plurality of Objects. In Chemism, on the other hand, the unity of the system is regarded as more funda- mental than the plurality, for the result of the category is that the Chemical Notion is inadequately expressed by its mani- festations. In Teleology the two sides are balanced. The unity is a moment in the system distinct from the moment of the plurality of the parts of the system, and as fundamental as that plurality. On the other hand the unity is no more fundamental than the plurality, for it has no separate nature, but is just the unity which does unite that particular plurality in that particular way. The End may be called a Universal, and rightly, since it unites the system, and is common to every part of it. But it must be noticed that it is quite a different sort of Universal from that which we had in Subjectivity. There the Universal was a common quality. Here it is an organising principle. The highest point of Subjectivity was the Ultimate Dis- 262 CH. IX. OBJECTIVITY junctive Judgment which formed the Major Premise of the Disjunctive Syllogism. Let us take as an example, "all finite spirits must be angels, men, or brutes." Then the fact that a certain existent Individual was a finite spirit and a man would not in any way determine whether any other finite spirits existed, or to Avhich of the three possible varieties they belonged. But if there exists a living human stomach, then, in so far as a living being is an adequate example of Hegelian Teleology, its existence will determine the existence of other living human organs which are not stomachs. For the living stomach could only exist as a manifestation of the organic unity of a human body, and such a unity must also manifest itself in other organs which are not stomachs. We have here, even more distinctly than at the end of Subjectivity, the idea of a self-differentiating unity, by which is to be understood, as I said above (Section 231), not a unity, fi-om whose nature the nature of its differentiations can be deduced by pure thought, but a unity which, not through some external accident, but from inner necessity, is only to be found in a particular multiplicity. This multiplicity, however, is as ultimate and fundamental as the unity. It does not proceed from the unity, and is only dependent on it in the same way that the unity, in its turn, depends on the multiplicity — namely that the existence of each involves the existence of the other. We saw, in treating of this conception in the last chapter, that, although the existence of the unity involves that of the differentiations, and conversely, yet it does not follow that, if we know the nature of the unity, we should be able to deduce from it what were the differentiations of that unity. To recur to our previous example — a complete knowledge of what is meant by a finite spirit will not necessarily enable us to deduce that all finite spirits must be men, angels, or brutes. In dealing with the self-differentiating Notion of Teleology we may go further. We can be quite certain that we shall never be able to deduce the nature of the differentiations from our knowledge of the nature of the unity. For, as we have seen, the End in Teleology does not admit of being stated except as the unity which holds together just those differentiations in III. TELEOLOGY 263 just that manner. And thus we cannot know the nature of the unity except in so far as we know the nature of the differentia- tions. 255. Hegel's use of the terms End and Means in this category seems to me very unfortunate. For, in ordinary language, the principal point in the significance of these terms is that the Means, as Means, exist only for the sake of the End, while the End exists for its own sake. The End has ultimate value, the Means only derivative value. Now it is an essential characteristic of Hegel's category, that the plurality, which he calls the Means, is just as fundamental and important as the unity, which he calls the End. But the contrary is almost irresistibly suggested by the associations called up by the words, and even Hegel himself seems sometimes to forget in what a different sense from the common one he is professing to use them. Again, we must remember that, with the Hegelian use of the words, there can be no such thing as an unrealised End, or an inadequate Means. An End only exists at all in so far as it is the unity which unites the Means — i.e. which is realised by them, and, conversely, the Means only exist in so far as they are unified by, and express, the End, and can therefore offer no resistance to its realisation. And with this use of the words the conception of a realised End loses altogether that implication of value which it has when the words are used in their ordinary significance. In the latter case, to begin with, the assertion that an End is realised is not a tautology. An End adopted is not necessarily realised, and the realisation brings in a fresh element. And that fresh element is the harmony between the purpose of a conscious being on the one hand, and the surrounding reality on the other. This certainly involves pleasure, and, if pleasure be taken as a good, it also involves good. And thus, with " finite and outward " Ends, their realisation takes us into the world of values, since, at the lowest, the realisation implies that some conscious being has got what he wanted. But with Ends, in the Hegelian sense of the word, it is quite different. In the first place, to say that an End is realised, is now, as was explained above, a mere tautology. 264 CH. IX. OBJECTIVITY And, in the second place, an End, in this sense, is only the inner unity of existence. It has no necessary relation to the purpose of any conscious being, and no implication of value. 256. The End, we have seen, is a unity as compared to the plurality of the Means. But the question still remains whether there is only one Teleological system and one End for the whole universe, or whether there are a plurality of Ends. Hegel does not make this clear. Logically, it would seem, there ought only to be one End. For there is no doubt that it is the Chemical Notion which becomes the End, and we have seen above (Section 251) that there can be only one Chemical Notion. And there seem very grave difficulties in the way of the assertion of a plurality of Ends. Have the separate Ends separate Means or not ? If they have, then the universe — the whole of existence — is broken up into different systems uncon- nected with one another. For the principle of connexion, according to this category, lies wholly in the End, and two Ends could not be connected. Such a view of the universe, at this point of the dialectic process, would be completely unjustifiable. It is scarcely possible that Hegel could have supposed it justifiable. At any rate, if he had made so great and striking a change at this point he would certainly have mentioned it explicitly, and as he gives no indication whatever of it, the hypothesis of a plurality of Ends, each with its distinct Means, must be rejected. But it is equally impossible that a plurality of Ends should all have the same Means. For the things which are the Means will be related to one another in various ways, and these various relations will unite them all into a single system. Now, as we saw above, the unity which unites just those things in just that way, will be an End to those Means. And they can have none other than this. It is the unity of the system in which they are, and they are not in more than one system, for the system means all the relations which exist between them^ ^ In Absolute Mechanism the same Objects formed many systems. But then each system took the whole from the point of view of one Object as Centre, and there were many of these points of view. Here, where the unity of the system is not found in one of its parts, but is a distinct element, this source of plurality has failed. III. TELEOLOGY 265 Thus a plurality of Ends could neither have separate Means nor the same Means, and thus the plurality of Ends is untenable. No doubt minor systems might be discovered within the all- embracing system, and the unity of each of these might be taken as an End, but these systems would have relative Ends. The systems would be parts of the all-embracing system, and their Ends only Means to the one ultimate End. On the other side, it must be admitted that the End is transformed into the Organism, and that Hegel unquestionably maintains a plurality of Organisms. But, in view of the argu- ments given above, it seems that we must say that there is only one End to the whole universe, and that the transition to the plurality of Organisms was unjustifiable. A. The Subjective End. 257. (G. L. iii. 217. Enc. 207.) The full unity between Means and End is not attained till we reach the last division of Teleology. At first they are only regarded as of equal import- ance and as closely united. Each is still a separate entity with a separate nature of its own, though it could not exist except in conjunction with the other. This view dominates the two first subdivisions of Teleology. Whether Hegel could have avoided these, and could legitimately have proceeded direct from Chemism to the final form of Teleology is a question which it seems impossible to answer, on account of the difficulty of seeing precisely how he does pass from Chemism to Teleology as a whole. The first subdivision of Teleology is called by Hegel the Subjective End. It regards the Means as possessing no definite quality of their own except that they are a plurality. One Object is as good as another in any position in the system of manifestations of the End. If the Object A fills the place X in the manifestation of the End, that does not imply any special fitness in A to manifest X. B, or any other Object, would have done quite as well. All that the Objects are wanted for is to provide a plurality. 258. The contradiction involved in this category is not hard to discover. For, while it asserts the Means to have separate natures, apart from that End which they carry out, 266 CH. IX. OBJECTIVITY it defines the Means so as to reduce this separate nature, and consequently the Means themselves, to nothing. The interconnexions of the various Means with one another form the End, which the Means carry out. The End is the unity of the Means, and it is clearly to the End that these interconnexions, which unite the Means to one another, must be referred. Now the present category asserts that one Means would always do as well as another in carrying out the End, and, consequently, that the intrinsic nature of the Means has no relation to the End. It follows that the intrinsic nature of the different Means has no relation to the connexions between them. These connexions, however, form the whole of the external nature of the Objects which are considered as Means, and we saw, when we were dealing with Absolute Mechanism, that the inner nature is completely expressed in its outer nature. To maintain that anything has a core of its own apart from and unaffected by its relations to outer things would be to go back to the earlier categories of Essence, Avhose insufficiency has been demonstrated much earlier in the dialectic. Therefore this intrinsic nature which the Means are asserted to possess can neither be theu" outer nature nor their inner nature — and what else is left for it to be ? Clearly nothing. And thus the Means, having no nature, would be non-existent. To suppose, then, that the Means have no intrinsic adapta- tion to the End, is to destroy the possibility of their having a nature at all, and so the possibility of their existing at all. If, therefore, they are still to retain any externality whatever to the End, that externality must be harmonious to the End. The nature of each Means must consist in its fitness to carry out the End — its fitness to fill one particular place in the system of which the End is the unity. It thus ceases to be indifferent which Means are employed in manifesting the End in a particular way — that is, at a particular place in the system. Only those Means can do so which are fitted for the task by their own nature. We thus approach more closely in one respect to the ordinary significance of the word Means, which includes some special capability in the Object to carry out the End. It is thus appropriate that the next category should be called III. TELEOLOGY 267 B. The Means. (G. L. iii. 221. Enc. 208.) Here, as elsewhere, we must remember the special meaning of End and Means as Hegel uses them. Though the Means have a certain externality to the End, and a certain distinction from it, yet it is not held that they could exist apart from it. The position throughout Teleology is that the Means could not exist if they did not embody the End, nor the End if it were not embodied by the Means. And so it may be misleading to speak here of the Means as fitted to embody the End. The relation of the Means to the End is not a mere potentiality, as when, in the non- Hegelian sense of the terms, we say that a spade is a Means for digging. For Hegel the Means only exist as embodying the End, and when we speak of them as being fitted for it, we only mean that their intrinsic nature co-operates in the manifestation, and is no longer considered as indifferent to it. 259. This category, in its turn, is found to be inadequate. Of this Hegel gives two demonstrations, the first of which is to be found in the Greater Logic only, while the second occurs both there and in the Encyclopaedia. They may be said to be based on the same general principle, but raise perfectly distinct points, and must be considered separately. In the first {G. L. iii. 229) he says that if we accepted the position of this category we should be forced to insert, between the End and the Means, a second Means, and then, between the End and this second Means, a third Means, and so on ad infinitum, and that this involves a contradiction. Let us expand this argument. If the End and the Means are to be taken as distinguishable entities, then it is clear that each of them must conform to all the conditions which are necessary to the existence of any entity. Now we have seen in the course of the dialectic that no entity of any sort can be a blank or undifferentiated unity. Therefore the End cannot be such a unity, but must be differentiated. This, indeed, has already been admitted, and the work of the Means is to differentiate it. But — and here the root of the inadequacy appears — if the End has an existence distinguishable from the Means, it must have a differentiation 268 CH. IX. OBJECTIVITY distinguishable from the Means. Now the element of differ- entiation in a differentiated iinity cannot be evolved from or produced by the element of unity. It must be correlative with it, and equally ultimate. Within the End, therefore, and apart from the Means, there must be such an element of differentiation. But the definition of a Means, as we have seen, is just the plurality which differentiates a unity in this way, and this element of differ- entiation will therefore be a second Means, between the End and the first 3Ieans. And, now that it is a Means, it will, according to the present category, be a separate entity from the End. By the same reasoning as before, the End will require some differentiation independent of this new Means, and this differentiation will become a third Means, between the End and the second Means. And this process will go on ad infinitum. Such an infinite process as this clearly involves a contra- diction. By the hypothesis the End and the first Means are united. But we now find that their union must be mediated. It depends on the union between the End and the second Means. But this union again requires mediation, and so on. All mediated connexions must depend on some immediate connexion. But in this chain every connexion requires mediation, and there is no immediate connexion. Then there can be no mediated connexion either, and so no connexion at all. But, by the hypothesis, there is a connexion. And thus we reach a contradiction. 260. Hegel's second argument {G. L. iii. 230. Enc. 211) is that the Realised End will, according to the present category, be nothing but a Means, that it will consequently require another Realised End beyond it, which in turn will be nothing but a Means, and so on ad infinitum. This also requires some expansion. When End and Means are taken in their common and un- Hegelian sense, there is a clear distinction between the Means and the Realised End. A block of marble and a chisel may be taken as Means to the End of making a statue, but no one could mistake either the block or the chisel for the statue which is their Realised End. But it is different when the terms have their Hegelian sense. For then the Means is not merely an III. TELEOLOGY 269 Object which might be made to realise the End. It is an Object which does realise it, and which realises it necessarily, and by its intrinsic nature. The Means therefore is an Object whose nature is such that it realises the End. (If we are speaking of a single Object, it is better, except for the sake of brevity, to say " which participates in realising the End," since of course an End can only be realised in a plurality of Means.) Now what is the Realised End ? Is it anything more than this ? It can be nothing more. The only form a Realised End can take is that of an Object whose nature is such that it manifests the End. And therefore, for Hegelian Teleology, there is no difference between the Means and the Realised End. This conclusion we shall find later on to be the truth. But it is inconsistent with the position of the present category, and the attempt to combine the two produces a contradiction. For the Realised End is the union of the End and Means, and, if these are taken as in any way distinguishable, it cannot be the same as either of them. Hence when we find that our Realised End is identical with the Means, we cannot regard it as really the Realised End. If it is one extreme of the relation it cannot be the union of both. We take it then, according to Hegel, simply as the Means, aud look for another Realised End beyond it. (It may be added, though Hegel does not mention it, that it would have been equally correct to take it simply as the Realised End, and then to look for another Means to mediate between it and the End. The infinite series thus started would lead to a contradiction, in the manner indicated in Section 2.59.) But the new Realised End would also necessarily be identical with the Means, for the same reasons as before, and our search would have to be continued ad infinitum. Such an infinite series would involve a contradiction, for there would be no term in which the End was realised, and therefore it would not be realised at all, while, by the hypothesis, it is realised. 261. The category which involves such contradictions must be transcended. And the way to transcend it is clear. The whole of the difficulty arose from the fact that End and Means were taken as separate entities. It was this that forced us to insert, between Means and End, an infinite series of new Means. 270 CH. IX. OBJECTIVITY And it was this which gave us the choice, either to insert another infinite series of Means between Means and Realised End, or else to prolong the series of Means infinitely forward, in the vain attempt to reach a Realised End which was different from a Means. We can get rid of the contradictions only by dropping our supposition that End and Means are in any way separate entities. We know from the first category of Teleology that they can only exist if they are connected. But now we are driven to the conclusion that they are two aspects of the same entity. Existence is a differentiated unity. The End is the aspect of unity, the Means the aspect of differentiation. The relation of the aspect of unity to the aspect of differentia- tion, and the relation of the various differentiations to one another were considered above (Sections 252 — 254). With this we pass to the final subdivision, to which Hegel gives the name of C. The Realised End. {G. L. iii. 224. Erie. 209.) The appropriateness of this name lies in the fact that the Realised End is the unity of the End and Means, and that we have come to the conclusion that End and Means are not two realities connected with each other, but two aspects distinguishable within a single reality. And thus this category takes its name from the unity of the two sides — that is to say, from the Realised End. (The unity of the two sides with one another, must, of course, be carefully dis- tinguished from the unity of the differentiations, which is one of those two sides.) Thus we learn that the universe is as much One as it is Many. It is a reality in which the aspect of unity — the End — which makes it One, is as fundamental, and no more fundamental, than the aspect of plurality — the Means — which makes it Many. This equipoise of unity and plurality may not be reached here for the first time in the dialectic, but our return to it when both unity and differentiation have been so fully developed, has a greater significance than its previous occurrence could have. And thus we reach the end of Objec- tivity. Ill, TELEOLOGY 271 The treatment of Objectivity in the Encyclopaedia only varies in the fact that Mechanical Process, Absolute Mechanism, and Chemism are not, as in the Greater Logic, further divided. The first two, at any rate, of these changes, seem to be improvements. CHAPTER X THE IDEA 262. The last section of the dialectic is divided as follows : I. Life. (Das Leben.) A. The Living Individual. (Das lebeudige Individuum.) B. The Life-Process. (Das Lebens-Process.) C. The Kind. (Die Gattimg.) II. The Idea of Cognition. (Die Idee des Erkennen.) A. The Idea of the True. (Die Idee des Wahren.) (a) Analytic Cognition. (Das analytische Erkennen.) (b) Synthetic Cognition. (Das synthetische Erken- nen.) B. The Idea of the Good. (Die Idee des Guten.) III. The Absolute Idea. (Die absolute Idee.) It should be noticed that Avithin II. there are only two divisions, the Synthesis being absent, and that the same is the case with the subdivisions of II. A. Cognition (Erkennen) has its meaning so extended that, as will be seen later, it covers Volition as well as Knowledge. 263. In the last division of Objectivity, Realised End, we had reached the result that the whole of existence forms a system of differentiated parts, the unity of the system being as fundamental as the differentiation of the parts, and the differ- entiation of the parts, again, being as fundamental as the unity of the system. In this system the intrinsic nature of each part is dependent on its place in the system. It can only be explained, or even described, by reference to the system, and, I. LIFE 273 through the system, to the other members of it. On the other hand, the unity can only be described as the unity which does connect these parts. It has no nature which can be stated apart from them, just as they have no nature which can be stated apart from the unity. This conception, which formed the Synthesis of the last triad of Objectivity, is naturally reproduced in the Thesis of the first triad of the Idea. And this is the conception which we find in the category of the Living Individual. The genera] conception of the Idea is, according to Hegel, the unity of the Subjective Notion and Objectivity. {G. L, iii. 240. He also calls it the unity of the Notion and Objectivity. G. L. iii. 238. Eiic. 213. This phrase is less appropriate than the other, since Objectivity is also part of the Notion.) In Subjectivity the Individuals were connected by their similarities and dissimilarities, which were realised as forming their inner and intrinsic nature. In Objectivity there was added to this connexion the further connexion of each Individual with other Individuals by means of causal relations^ But this was con- ceived at first as a species of connexion which was external to the Individuals connected, and did not form part of their natures. This externality was gradually eliminated, but did not completely disappear until the final category of Realised End. Then the determination of each Individual by others was found to consist in their relation to one another in a Teleo- logical System, while the inner nature of each is found to be an expression of its place in the Teleological System. Thus in Idea the connexion of Individuals is, as in Objectivity, inclusive of the mutual determination of each Individual by every other Individual, while, at the same time, the whole connexion of Individuals is, as in Subjectivity, part of their inner nature. Hegel, however, says that " in a more general sense " the Idea is also " the unity of Notion and Reality (Realitat) " (G. L. iii. 240). This seems incorrect. By Reality Hegel appears to mean the plurality in which the Notion is expressed. Now if he speaks of the conception of such a plurality in which 1 This connexion by causal relation was, of course, first reached in Re- ciprocity, but its development was not taken up again until Objectivity had been reached. M'^T, 18 274 CH. X. THE IDEA the Notion is expressed, that conception is not reached for the first time in the Idea, since both in Subjectivit}^ and Objectivity the Idea was recognised as having such a plurality. If, on the other hand, he speaks of a detailed knowledge of that plurality, or of the actual existent plurality itself, these are not reached in the Idea. The whole dialectic deals only with a priori conceptions, and we cannot acquire by it any knowledge of the different characteristics of particular Individuals, which — for us at any rate — can only be known empirically. Still less can the actual Individuals themselves be part of the dialectic. I. Life. 264. (G. L. in. 244. Eiic. 216.) We must, of course, bear in mind here, as with other categories named from concrete phenomena, the relation between those phenomena and the category. The category of Life does not apply only to what are commonly called living beings, but is equally true of all reality. Nor does Hegel profess to deduce by the dialectic process all the empirical characteristics of biological life. The choice of the name is due to the fact that this is the category of pure thought which is most usually and naturally employed in dealing with the phenomena of life. Hegel is, I think, clearly right in saying that it is this category which is thus employed in dealing with the phenomena of life. In so far as any matter is held to form a living organism, it is held that the nature of each part of that whole is only capable of explication or description by reference to the organism as a whole, while that organism can only be described as the unity which is the unity of just those parts\ (This is the case when the organism is looked at by itself, and for itself. If the organism is regarded as connected with a conscious Spirit, and as used by that Spirit as a means to its own ends, more can be said about the organism. But then we are considering some- thing beyond biological life.) 1 We may compare Kant's account of an organised being. {Critique of Judgment, Section 65.) "In the first place it is requisite that its parts (as regards their presence and their form) are only possible through their reference to the whole. ...It is requisite secondly that its parts should so combine in the unity of a whole that they are reciprocally cause and effect of each other's form." I. LIFE 275 It is for this reason that he calls this category Life, and that he calls the element of unity by the oarae of Seele, and the element of plurality by the name of Body. It is not easy to find an English equivalent for Seele, in the sense in which it is used by Hegel, and I have therefore retained the German word. Soul would be misleading, since the modern use of that word is to designate what is otherwise called Spirit. But Seele means for Hegel nothing but the unity of which the body is the plurality — the element of unity in biological life. In the case of Life Hegel makes it even more explicit than he does when dealing with other categories with concrete names, that he intends to keep strictly to pure thought, and to avoid all empirical intermixture. For he expressly warns us against supposing the Life spoken of in the dialectic to be identical with the life of concrete experience, whether the latter be taken by itself, or as a manifestation of Spirit {G. L. iii. 245 — 24-6). But he fails to carry out his intentions. The categor}' of Life, as treated by him, possesses two important features which are found in the phenomena studied in biology, but which cannot, as it seems to me, be legitimately deduced by the dialectic process, and which ought not, therefore, to have been ascribed to the category. 265. In the first place, the question arises whether the universe consists of one example of the category of Life, or of many such examples. Each of these examples may be called an Organism. Are there many such Organisms, or only one ? It seems to me that the right answer to this would have been that there is only one. The whole universe, as I have maintained in the last chapter, forms one Teleological System, and, as it is the Teleological System which, in the new Thesis, is re-stated as the Organism, there should be only one Organism. And in the next category, Cognition, the individual cognizing Selves appear to correspond to the parts of the Organism, while the cognized Whole — which embraces the whole universe — corresponds to the Organism. This, also, indicates that the universe ought to be conceived as one Organism. But Hegel takes a different view. According to him the universe, as seen under this category, consists of a plurality of Organisms, each of which has a plurality of parts. The Organ- isms are in relation to one another, and so may be said to form 18—2 276 CH. X. THE IDEA a unity of some sort, but this larger unity — which does embrace the whole universe — is not an Organic unity. He seems to have been led into this error by the analogy offered by biology, which deals with a multitude of living beings, each of which is an organic unity, while they do not together form an organic unity. And this error vitiates, I think, his whole treatment of the categories of Life. 266. The second case in which, as it seems to me, Hegel has been misled by biological analogies is in treating the living Body^ as an inadequate manifestation of the Seele. On this, as we shall see, he endeavours to base the transition to the next category. Now there is nothing in the dialectic to warrant this view. In the Teleological System the nature of the unity was just that it was the unity which did connect those parts. If Hegel had not demonstrated the validity of this conception, he would have had no right to affirm the category of Teleology, nor, consequently, the category of Life. But if he had demon- strated its validity, how could he be justified in saying that the parts are not an adequate manifestation of the unity ? But the analogy of biology would suggest that the mani- festation could be inadequate. For, although biological life is the best example known to us of this category, it is not a perfect example. The parts of a biological organism have some existence independently of the organism of which they form part, since the same matter which now forms part of a living body, existed before that body was formed, and will exist when it has decomposed. Its condition while in the body is in some respects different from its condition outside the body, but it retains certain characteristics unchanged. Hegel quotes with approval (Enc. 216) Aristotle's remark that a hand separated from the body is only a hand in name, not in fact. But if this is given as a characteristic which is confined to the parts of living beings, the statement cannot be justified. A hand is changed more or less by being cut off — but so is a piece of granite changed, when it is cut out of the quarry. The granite remains more or less the same after the 1 Here, and wherever I write Body with a capital initial, I mean the element of plurality in Hegel's category of Life. When I mean the body as known to biology I write the word without a capital. I. LIFE 277. separation, and so does the hand. Even when the hand eventually decays, the atoms, or other units, into which it is resolved, are in many respects the same as they were before the hand was cut off. Thus the difference here between the organic and the inorganic is only a matter of degree. And, on the other hand, the organism in biology is inde- pendent, to a certain degree, of its parts. For during the life of an organism, much matter is added to it, and much, which previously belonged to it, is excluded from it, while the organism is regarded as being the same through all these changes. Since the biological organism and its jjarts are thus more or less independent of one another, the possibility of an inadequate manifestation of the organism by its parts would arise. But this relative independence is not a characteristic of the category of Life, as given in the dialectic, and Hegel is not justified in asserting the possibility, under that category, of an imperfect manifestation. The approval which Hegel gives to Aristotle's statement about the hand, seems to indicate that he did not fully realise the imperfect nature of biological unity, to which, as I submit, the possibility of an inadequate manifestation is due. But the fact that biological manifestations were sometimes inadequate — and that so the organism died — was clearly before him. And it was this, I think, which led him to suppose the possibility of inadequate manifestation in his category of Life. Hegel says that Life is the Idea in the form of immediacy {G. L. iii. 249. Enc. 216). It appears from what he says later with reference to the process by which this category is trans- cended, that he connects the immediacy of Life with the possibility of an inadequate manifestation. A particular arrange- ment of parts, which in point of fact exists, may or may not manifest the Seele adequately. If it does manifest it adequately this is a mere fact, which can be recognised as true, but cannot be demonstrated as necessary. A. The Living Individual^. 267. {G. L. iii. 249. Enc. 218.) Three characteristics of the Living Individual are given by Hegel — Sensibility, 1 Individual here stands for Das Individuum, and not, as elsewhere in this book, for Das Einzelne. 278 CH. X. THE IDEA Irritability, and Reproduction. These correspond, he says, to the Universal, the Particular, and the Individual (Das Einzelne). They are not divided off, either in the text or in the table of contents, as separate subdivisions of the category of Life, but it Avould seem that Hegel does regard them as such, since the third seems to be taken as a Synthesis of the other two, and to form the transition to the next category of the Life-Process. The transition from the Thesis to the Antithesis, however, is not very clear. It would seem that both are reached directly from the general idea of Life, rather than the second from the first. All three assume that there is something outside each Organism. This naturally follows from Hegel's view that there is a plurality of Organisms, for then each of them will have other Organisms outside it. In the first place, then, an Organism which is related to other things outside it, Avill be affected by them, and will receive impressions from them. By reason of the unity of the Organism, these impressions will not only affect that part of the Organism which first receives them, but will also affect the Organism as a whole and in its unity. This affection of the whole by what happens in any part is what Hegel calls Sensi- bility {G. L. iii. 253. Enc. 218). (Here, as afterwards with Irritability and Reproduction, the name, like the name of Life, is only applied to the logical conception because that conception is exemplified in what is commonly called Sensibility. It does not imply that all existence has the empirical characteristic of Sensibilitv.) In the second place, the Organism wall in its turn affect whatever is outside it. It Avill do this by means of the part of its Body which is in immediate relation with the particular outside thing in question. But this part of the Body will be determined to its particular nature by the Seele, the unity of the Organism. And this action of the whole Organism, through its part, on what is outside it, is called Irritability {G. L. iii. 254. Enc. 218). The third stage is the maintenance of the Organism as a whole, through, and by means of, its relation to what is external to it. In the Greater Logic he says that this, on its theoretical side, may be called Feeling (Gefilhl) and on its " real " side I. LIFE 279 may be called Reproduction (Reproduktion) {G. L. iii. 254). In the Encyclopaedia only the name Reproduction is used {Enc. 218). When Reproduction is found in a series of names which are taken from biological science, we should naturally suppose it to mean that the characteristic after which this category was named was the power possessed by living beings of producing other beings of their own species. But this is not the case. Hegel's language, in both Logics, is clearly incompatible with this, and moreover the propagation of the species is found later on as an example of a more advanced stage of the category of Life. The Organism, then, preserves itself in its own identity through its relation to what is outside it. Throughout this triad of the Living Individual, it is assumed that each Organism must enter into relation with what is outside it, and that it is by means of these relations that it will maintain and express its own nature. This necessarily follows, if it is admitted that there is a plurality of Organisms, and that, consequently, every Organism must have something outside it. For the different parts of the universe cannot be unconnected, nor can their connexion be anything merely external to them. It must be a connexion in which the nature of those different parts must be expressed. This results from previous stages of the dialectic. The only illegitimate assumption is the primary assumption that there is a plurality of Organisms. 268. With this conception of the relation of the Organism to the outside world we reach B. The Life-Process (G. L. iii. 255. Enc. 219), which consists in just such a self- maintenance of the Organism by means of its external relations. The empirical characteristic of living beings which Hegel com- pares to this category is the process of assimilation, by which the animal or vegetable not only maintains itself by its relation to what is external to its body, but, in that process of main- tenance, actually converts it into a part of its body {G. L. iii. 258. Enc. 219). In this connexion Hegel says that the living being " stands 280 CH. X. THE IDEA face to face with an inorganic nature" {Ejic. 219). This, taken literally, could not apply to the relations of the Organism under this category. All the universe is not, according to Hegel, one Organism, but it consists of nothing but Organisms, and thus no Organism could be in relation to anything inorganic, since nothing inorganic exists. This, however, does not affect the accuracy of the category. For all that the category requires is that the Organism should stand in relation to something with which it is not in organic relation. And this condition, as we have seen, is satisfied if the Organism stands in relation to other Organisms. In speaking of this category in the Greater Logic Hegel says that " the self-determination of the living being has the form of objective externality, and since the living being is at the same time identical with itself, it is the absolute contra- diction (Widerspruch) " (G. L. iii. 256). I do not see why he should have said this. Of course this category, like all categories from Becoming onwards, contains, synthesised in its unity, moments which if unsynthesised would contradict each other. But they do not contradict each other when synthesised, so that the name of Contradiction is not appropriate. And, if it were appropriate to a category which synthesised moments which contradict one another, it would be equally applicable to all categories except Being and Nothing. In connexion with this contradiction, and the division (Entzweiung) which it involves, Hegel introduces Pain, It may be doubted whether it is worth while to carry so far the parallelism between the empirical characteristics known in biology and the characteristics of the logical category. If it were, it would seem as if Pain should rather be introduced in connexion with the inadequacy of the manifestation — a point not yet reached. 269. The transition to the next category appears to be by the idea of Universality. In the Life-Process the Particularity of the Organism is transcended, and it is elevated to Universality, by reason of its connexion of itself with that which is external to it, while it maintains its own nature in that connexion. " Through the external Life-Process it has thus posited itself as real, universal Life, as Kind" (G. L. iii. 259). I. LIFE 281 a The Kind. (G. L. iii. 259. Enc. 220.) Hegel's view is, apparently, that the idea of the Kind is now the Seele, or principle of unity, of each Organism. And it is the inadequacy of any particular Body to manifest the general idea of the Kind, on which he relies to demonstrate the inadequacy of all Organic manifestation. 270. This view seems to me to be quite unjustified. It is true that the Universal element in the Organism becomes more explicit when we realise that it not only manifests itself in its own Body, but maintains itself in and by means of its relation to what is outside its Organism. And it is true that a Kind, or species, is Universal as compared to the Individuals which belong to it. But the transition from one to the other is quite illegitimate, for they are two quite different Universals. The Universal which constitutes a Kind is a Universal such as was discussed under Subjectivity — a common quality, or group of qualities, which can be shared by various Individuals. It was because this sort of Universal proved inadequate as a description of existence that the dialectic passed in Objectivity to the Universals of Systems. The Universal throughout Objectivity, and now in Life, has been the Universal which is the unity of a System, a Universal which belongs to and unites certain differentiations, so that each of them has its definite place in the System, and, by means of this systematic connexion, the existence of one differentiation determines the existence of another. This is clearly quite a different notion from such a Universal as " lion." The latter denotes a group of qualities which may be, as in point of fact it is, shared by many beings, but which does not unite them in any sort of system, since the existence of one lion does not determine the existence of any others — at least, does not determine it by virtue of their com- mon Universal. If all lions but one were annihilated, the survivor would not be any less a lion, while, on the other hand, if all the organs of a living body but one were annihilated, the one which remained would no longer be part of an organic unity. Hegel has therefore no right to substitute one conception of Universal for the other at this point as if they were equivalent 282 CH. X. THE IDEA — especially as in doing so he substitutes a conception which he had demonstrated to be defective for the higher conception which had transcended the defect. 271. Since, according to Hegel's view, the Seele of the Organism is its Kind-Universal, the Organism, as being only a particular Individual, is unable to manifest this Seele ade- quately. The inadequacy is displayed in two ways. Firstly, the Individual propagates its Kind, by producing other Indi- viduals which belong to the Kind (G. L. iii. 261. Enc. 220). Secondly, the Individual dies {G. L. iii. 262. Enc. 221). I cannot see that Hegel has justified his view that the Body of the Organism will be inadequate to manifest its Seele. He has transformed the System-Universal, with which Organism started, to a Class-Universal, which is not the Seele of the Organism. And there seems no reason whatever to say that a particular Organism cannot manifest such a Class-Universal of a Kind. The Class-Universal of the Kind of lions, for example, consists of certain general qualities— the qualities of being vertebrate, mammal, carnivorous, etc. There is no reason why a particular Organism should not possess all these qualities, and, if it does, it is an adequate manifestation of the Class- Universal \ The statement that the inadequacy is shown in Propagation also seems to me mistaken, because I cannot see what character- istic of the category of Organism, as reached in the dialectic, could possibly correspond to Propagation. The other biological facts whose names have been used — Life, Seele, Body, Sensi- bility, Irritability, Assimilation, are, as we have seen, examples of certain characteristics of the category. But there has been no demonstration in the dialectic that one of the Organisms of a particular Kind would be produced by another Organism of 1 It is possible that Hegel may have vaguely conceived the Idea of the Kind as including an Ideal of the way in which the Class-Universal should be pos- sessed, so that a lion who was not a lion in the best sort of way was not an adequate manifestation of the Idea of a lion. But he has not explicitly stated, still less justified, the introduction of this fresh element into the Idea of a Kind. And all that would follow would be the possibility that no lions were, in this sense, adequate manifestations of the Idea of the Kind. It would not follow that no lion could be an adequate manifestation, which is what Hegel asserts. I. LIFE 283 the same Kind, nor anything which even suggests that this would be the case. And nothing but a production of one Organism by another could appropriately be named after the biological fact of propagation. The biological fact of death could doubtless be taken as an example of the change which would take place if an Organism, as defined by the category, broke up so that the parts of its Body ceased to be connected with one another by the Seele, and so ceased to form an organic Body. Such a dissolution would be incompatible with the conception of Organism, as Hegel first deduced it, for according to that the parts would have no nature apart from their connexion in the Organism, and could not, therefore, exist when it was dissolved. But Hegel, as we have seen, takes the Organism to be an imperfect manifestation of its Seele, and so the parts, which do exist in the Organism, might possibly exist otherwise. But while the inadequacy of the manifestation would thus alloio of the dissolution of the Organism, Hegel's attempt to treat that dissolution as an expression of the inadequacy of the Organism must be condemned as invalid. For the inadequacy of the Organism to express its Seele is, according to Hegel, necessary and invariable. If the inadequacy is inconsistent with the existence of the Organism, the Organism can never come into existence at all, and therefore can never dissolve. If the inadequacy is not inconsistent with the existence of the Organism, then the dissolution of the Organism cannot be accounted for by the inadequacy \ 272. Death and propagation, while they proclaim the inadequacy of the manifestation, also, according to Hegel, furnish the escape from the inadequacy. "The process of Kind, in which the individual Individuals (die einzelnen Individuen) lose in one another their indifferent immediate existence, and die in this negative unity, has also for the other aspect of its product the Realised Kind, which has posited itself as identical 1 There remains the possibility that the inadequacy, though not inconsistent with the existence of the Organism, would cause such friction among its parts as to wear it out after a time. But such a quantitative relation could never, I think, be proved a priori, as it must be if it is to form part of the dialectic. And certainly Hegel makes no attempt to prove it. 284 CH. X. THE IDEA With the Notion. In the Kind-process the separated indi- vidualities of the individual lives pass away; the negative identity, in which the Kind returns to itself, while it is on one side the production of individuality, is on the other side the transcending of individuality, and thus is the Kind which comes together with itself, the Universality of the Idea which is becoming for itself" (G. L. iii. 262. Cp. Eiw. 221, 222). Thus Hegel finds the solution of the inadequacy in the conception of the Kind as a whole, which remains while its members die. He reaches this conception by means of the conception of Propagation, which, as I have endeavoured to show above, is unjustified. But this need not invalidate the present step, since we should have a right to conceive of the Kind as a whole, even if its members were not connected by any tie analogous to propagation in biology. And, again, while Hegel was not justified in taking Death— the dissolution of the Organism— as the expression of the inadequacy of the mani- festation of the Seele, it is still possible that Organisms may dissolve. But, when we have reached the conception of the Realised Kind, is the idea of the Kind manifested with less inadequacy than it was before ? It seems to me that this is not the case. The idea of the Kind, as we have seen, is simply that group of Universals which are possessed by every member, actual or possible, of the Kind. These are manifested in the separate members of the Kind, or nowhere. It is, for example, the individual lions who are carnivorous, not the species as a unity, for the species as a unity cannot eat fiesh. Now Hegel has arrived, rightly or wrongly, at the conclusion that the individual Organisms cannot, in any case, adequately manifest the idea of the Kind, which is their Seele. And, if that is correct, they cannot manifest it adequately when we take them all together, and call them the Realised Kind. The grouping them together will make no difference to the inadequacy in the case of each Organism, since the inadequacy, according to Hegel, is a necessary characteristic of an Organism. And, if the mani- festation is not adequate in the case of particular Organisms, it cannot be adequate at all, for it only occurs in the particular Organisms. I. LIFE 285 273. It may be replied, possibly, that Hegel has, legiti- mately or illegitimately, changed his conception of the idea of a Kind, and that that idea is not, for him, a Class-Universal, but a System-Universal, which can be realised in all the members of the Kind taken together, though it cannot be realised in any one of them separately. There seem to me, however, three objections to this view. In the first place, if Hegel had meant this, he would have held that all the members of each Kind formed together one single Organism, for an Organism, for him, means a system of parts which manifests, as a whole, a unity which none of the parts could manifest separately. Now there is nothing in Hegel's language to suggest that the Kind is now to be regarded as itself an Organism. He never assigns to it either Sensibility, Irritability, or Reproduccion, all of which he considers as essential for an Organism. In the second place, if he had taken this view, he would have departed very materially from the analogy of biology, where a species, or other kind, does not mean an organic whole, the existence of one member of which involves the existence of all the rest, but a class composed of all the beings who have certain common qualities. We have seen that, up to this point, Hegel has been keeping very close to the biological analogy of the category — much closer than he was justified in doing. Is it probable that, at this point, while still using biological names profusely, he should have so far departed from the biological analogy, without a word of warning or justification ? In the third place, if the Kind really were meant now to be a System-Universal, which would only be manifested through all the members of the Kind taken togethei', then, if Death were brought in at all, it could only be on the view that Death did not really remove the individual from the Kind, and so did not destroy the totality required for the manifestation. But this is certainly not Hegel's view. It is clear from the passage last quoted that the adequacy of the manifestation in the Realised Kind is not dependent on the irrelevancy of Death to the question of manifestation. On the contrary, it is only because " the separated individualities of the individual lives pass away" that the manifestation can become adequate. 286 CH. X. THE IDEA Those lives, therefore, cannot be members of an Organism in which the adequate manifestation occurs, and as they are members of the Kind, the Kind is not an Organism. 274. Thus we must, I think, take the Kind-Universal to be, as is certainly suggested by its name, a Class-Universal and not a System-Universal. And in that case, as I pointed out above, the Realised Kind cannot give a more adequate mani- festation than the separate members. Nor does the introduction of Death help the matter, though Hegel seems to think that it does so. The inadequate manifestations successively pass away, in the successive dissolutions of Organisms, but they leave nothing better behind them. So long as there are any Organisms left, they are only inadequate manifestations of the idea of the Kind. If, on the other hand, they all passed away, there would not be a Realised Kind at all. We must, therefore, I consider, reject as invalid the solution which Hegel offers us in the conception of Realised Kind. And there is a further objection. The next category to Kind is the category of the Idea of the True. Since Realised Kind removes according to Hegel the defects of the category of Kind, it would follow that, when we have reached the conception of Realised Kind, we should find ourselves already to have passed into Cognition, and, more particularly, into the Idea of the True. And this is apparently what Hegel thinks has now happened. He says (continuing the passage quoted above, G. L. iii. 262) "In propagation the immediacy of living individuality dies; the death of this life is the emergence of Spirit. The Idea, which as Kind is implicit (an sich) is now for itself, since it transcends the particularity, which is produced by the living generations (Geschlechter), and has thus given itself a reality, which is simple universality. Thus it is the Idea which relates itself to itself as Idea, the Universal, which has universality as its determination and definite being (Bestimmtheit und Dasein), the Idea of Cognition." This, however, does not seem justifiable. But before considering this point we must determine exactly what Hegel means by the Idea of Cognition. II. THE IDEA OF COGNITION 287 II. The Idea of Cognition. 275. (G. L. iii. 263. Enc. 223.) He describes it as follows. " The Notion is for itself as Notion, in so far as it exists freely as abstract universality, or as Kind, So it is its pure identity with itself, which so creates such a division in itself, that what is separated is not an Objectivity, but liberates itself and takes the form of Subjectivity, or of a simple equality with self, and thus is the Object (Gegenstand) of the Notion, the Notion itself.... The elevation of the Notion above Life consists in this, that its Reality is the Notion-form, freed and in the form of universality. Through this division (Urtheil) the Idea is doubled, on the one hand the subjective Notion, of which it itself is the Reality, and on the other hand, the objective Notion, which it is as Life. — Thought, Spirit, Self-consciousness, are determinations of the Idea, in so far as it has itself as an Object, and its Determinate Being (Dasein), that is, the de- termination of its Being (Bestimmtheit ihres Seins), is its own difference from itself" {G. L. iii. 263). This is not very clear, but, with the aid of the concrete states vvhich Hegel takes as examples of this category, we can, I think, see what the logical conception of the category must be. Those examples are a complete system of correct knowledge, and a complete system of gratified volition. The conception, I believe, is as follows. The whole Universe forms an Organic system. The parts can only be explained or described by reference to the system, and, through the system, to the other members of it, w^iile the unity of the system can only be explained as the unity which does connect those parts. But the fresh element is this — each of these f)arts, which may now be called Individuals, has within it a system, which corresponds to the larger system — the system of the Universe. But what sort of correspondence? It cannot be merely that there is one part in each Individual-System for each part in the Universe-System. For that correspondence would be equally exemplified if the Individual judged about each part of the Universe, but judged wrongly, or if the Individual willed about each part of the Universe, but willed it to be other than it is. 288 CH. X. THE IDEA And it is clear, as we shall see later, that Hegel would not regard such a state as exemplifying the category. But it is equally clear that the correspondence of the parts does not mean identity of nature. If each part of an Individual- System had the same content with the corresponding part of the Universe-System, then the two systems would have exactly the same nature. For if the parts were exactly the same in the two systems, then the relations between the parts must also be the same. And as the unity in each case is just the unity which is formed by these parts in these relations, the unities would have the same nature in each system. Thus the two systems would be of exactly the same nature, which is im- possible, since one is an Individual, which the other is not, and one is the Universe, which the other is not. The examples, moreover, show that correspondence here does not mean exact similarity in nature. My correct know- ledge that A is courageous does not resemble ^'s courage at all closely. Nor, if my will approves the fact that A is modest, does my gratified volition closely resemble his modesty. 276. If w^e try to state more positively what this cor- respondence is, all that we can say, I think, is that each part of the Individual corresponds with a part of the Universe, and each part of the Universe with a part of the Individual ; that the correspondence consists of a relation between the natures of the two correspondent terms, which is not a relation of identity; that the relation of a true belief to the fact in which it is a belief is one example of such a correspondence; that the relation of a volition to the fact which gratifies the volition is another example ; and that no other example can be given. For such a correspondence as this the expression "harmony" suggests itself, and we shall, I think, do well to use it. But it must be remembered that harmony does not here indicate the co-operation of two beings for some purpose or design outside themselves. Nor does it indicate any relation wdnch the two harmonious beings jointly bear to a third — as when we say that the sounds of two different instruments unite to form a harmonious whole for the listener. The relation of harmony in this category is simply a relation between the two harmonious beings — the Uuiverse and the Individual — without reference II. THE IDEA OF COGNITION 289 to anything else. (The different Individuals, indeed, are not unconnected with each other, but it is only through their relation with the Universe.) Thus the advance on the last category consists in the fact that the parts under the category of Cognition, not only, as with Life, form a system which collectively expresses the idea of the system, but, in addition, do this by means of the exist- ence, in each part, of a system in harmony with the system of the whole. This gives a greater relative prominence, in the new category, to the parts — i.e. the Individuals. For although, since the Universe is an organic system, they only express the idea of that system in so far as, taken together, they form the system, yet it is also the case that each Individual by itself may be said in another sense to be an expression of the Universe, since it contains a system in harmony with the system of the Universe ^ Whether these two characteristics are compatible will be considered later. At present I merely urge that they are both to be found in the category. It is probably the greater prominence given to the parts in this category, which causes Hegel to speak of it as an Urtheil {G. L. iii. 262, 263. Enc. 223). For, while he generally uses this word in its ordinary sense of Judgment, he always lays great weight on the fact that etymologically it indicates division. In reaching the category of Cognition Hegel says that we have left behind the Immediacy which characterised Life. This Immediacy, apparently, consisted in the fact that par- ticular parts might or might not be so arranged as to manifest the Seele of an Organism. From the absence of any necessity that it should be so, he apparently deduced the possibility of an inadequate manifestation — though it would be impossible to find in it the necessity, which he asserts, that the manifestation should be inadequate. If such an Immediacy did belong to the category of Life, I do not see how it has been eliminated. But the truth seems to be that there is no need to eliminate it, because it should 1 In this second sense it would be equally correct, as will be seen later, to say that the Universe is an expression of each Individual. M"^!. 19 290 CH. X. THE IDEA never have been introduced. If Hegel had proved the validity of the category of Life at all, he had proved that the parts not only could, but must, be arranged in organic unity. That he should have thought it only a possibility is connected with his view of the possibility and necessity of inadequate manifesta- tions, which we found reason above to reject as erroneous. 277. This, then, is the nature of the category to which Hegel passes from the category of Life. Is he justified in the transition ? I cannot see that he is justified. In the first place, the whole of Existence appears, under this category, to form a single organic system. Now in Teleology, as we have seen, Hegel had taken all existence to form one organic system. But he gave this up in Life — gave it up, as I have tried to show above, illegitimately, and misled by biological analogies. And having once given it up, he has no right to bring it back, except by a fresh demonstration of it, which he does not profess to give us. Even if we supposed that the Realised Kind was held by Hegel to be an organic unity (a theory which, as I explained above, I think must be rejected) the difficulty would not be removed. For it seems clear that Hegel meant by the Kind something analogous to a biological species, of which there are more than one in the Universe, so that the organic unity of a Kind would not mean that the Universe formed one organic unity. And, moreover, if Hegel had regarded the Realised Kind as an organic unity, his position would have been illegiti- mate, since the Kind when first introduced is not an organic unity, and no demonstration is given of the validity of a transition. Thus, by basing the organic unity of the Universe in the category of Cognition on the organic unity of the Realised Kind, we should not avoid an illegitimate transition, but merely throw it a little earlier in the dialectic process. In the second place, there is a still more fundamental objection to the transition. So far as I can see, there is not the slightest attempt to demonstrate the characteristic which forms the essential difference of Cognition from Life — the existence, in each part, of a system corresponding to the system of the whole. The essential characteristic of Realised Kind was the subordination of the particular Organisms to the II. THE IDEA OF COGNITION 291 idea of the Kind. What the connexion is between this and the existence of the systems within Individuals is left in complete obscurity. Hegel was no doubt justified in naming this category after a concrete state of the human mind. For knowledge, in so far as correct, and volition, in so far as gratified, do form systems which correspond to the objects which are known or which gratify the volition in the way defined above. Indeed, no other examples of this category can, I think, be found. Certainly Hegel does not give any other examples. Indeed, it might be said that he has not coinpletely defined the new category at all, but has left part of the definition implicit in the statement that the correspondence in question is the one of which true knowledge and gratified volition are examples. 278. We have seen in earlier stages of the dialectic that, when categories are named after concrete states, there is con- siderable risk of falling into error by attributing to the categories characteristics whicli are true of the concrete states, but which have not been demonstrated of the categories. Here the difficulty of avoiding this error is greater than elsewhere. In Mechanism and Chemism Hegel is able to give other examples of the category besides those drawn from Mechanics and Chemistry. In Life he does not himself give any examples besides those drawn from biology, but it is possible to supply the deficiency. The unity which is expressed in the different parts of a beautiful object — a Persian rug, for example, or an Adam ceiling — is an example of what Hegel calls an organic unity. And the distinction of the category from the biological state is rendered easier by the fact, which we have remarked, that the biological state is never a perfect example of the category. Here matters are different. No example of the category has been given, by Hegel or anyone else, except that of a system, each of whose parts is in relation, by knowledge or volition, with all the other parts. And this would be a perfect example if the knowledge and volition had reached that perfection towards which all knowledge and volition are directed. And, as mentioned above, it may be held that the category has not 19—2 292 CH. X. THE IDEA been completely defined except by reference to these concrete examples. The danger of the error is therefore greater here than else- where. I do not think, as I shall explain later, that Hegel has entirely avoided it. But it has not affected his argument so seriously as it did in the category of Life. While it is certainly appropriate to name this category after a state of the human mind, the actual name of Cognition seems unfortunate. Volition, as well as knowledge, is an example of this category, while, as we shall see, volition is the only example of one of its subdivisions. Cognition, then, would only be appropriate if it were possible to stretch its meaning to include Volition, and this does not seem possible, either with the EngUsh Cognition, or the German Erkennen. It seems to me that some more general term — perhaps Consciousness — would have been better. 279. Cognition has, according to Hegel, only two sub- divisions, without any Synthesis being explicitly given. These he calls the Idea of the True and the Idea of the Good. In the Encyclopaedia the first of these subdivisions is called Cognition, and the second Volition, the name of Cognition being also used, as in the Greater Logic, for the category as a whole. Since there is to be a harmony between the Individual- systems and the Universe-system the question naturally arises, which side is active and which side passive. The alternatives, as will be seen later, are not really exhaustive, and neither answer to the question will be finally tenable. But it is, according to Hegel, the natural way in which to begin regarding the matter. If we find two things necessarily agreeing with each other, the natural inference is that one is dependent on the other, or else both on a third. Now here there is no third. There is only the Universe-system on the one hand and the Individual-systems on the other. We seem, therefore, bound to conclude either that the harmony is produced by the nature of the Individuals being dependent on the nature of the Universe, or else by the nature of the Universe being dependent on the nature of the Individuals. Of these two alternatives we must start with the former. If we took the latter, there would be no guarantee that the II. THE IDEA OF COGNITION 293 Individual-systems, whose nature would then be taken as ultimate, did not differ in such a way that the Universe-system could not be in harmony with them all. In that case the requirements of the category of Cognition, which Hegel regards as already demonstrated, could not be complied with. But if the single Universe-system is taken as ultimate, and the many Individual-systems are taken as dependent on it, no such difficulty arises. Hegel therefore stai'ts with the conception of the Universe- system as determining the Individual-systems, and this gives him A. The Idea of the True. (G. L. iii. 274-. Enc. 226.) The category has this name because the only example which can be given of it is a system of knowledge in the Individual which truly represents the Universe-system. 280. If we compare knowledge and volition, we find that the object of each is to produce a harmony, and that they differ in the fact that in the one the object, and in the other the subject, is the determining side of the harmony. This can be tested by looking at a case where the harmony is discovered to be imperfect. In such a case, should it occur in knowledge, we condemn the knowledge as being incorrect ; and we endeavour to amend it by altering our beliefs till they harmonise with the objects. With volition it is just the reverse. Here we condemn the outside reality which does not accord with our desires, and we endeavour to restore harmony by altering the objects so that they may be as we desire them. Thus in knowledge the aim of the knowing subject is that its state should be a representation of the state of the world at large. Of course this does not imply that the mind is purely passive in the process, and has nothing to do but receive effects from outside. The question is not about the way results are produced, but about the test of them when they are produced. However active the process of knowledge may be, the fact remains that its correctness depends on its agreement with the object known. Thus knowledge is an example of this category, and it is the only one which can be given, since volition — the only other 294 CH. X. THE IDEA example of the wider category of Cognition — would not be appropriate in this subdivision. We must of course remember, here as elsewhere, that what we are entitled to predicate of all existence is not the possession of all the characteristics of knowledge which are empirically known to us, but only those which are involved in the loo-ical category. It is further to be remembered that, according to the category, each Individual-system has to harmonise with the whole of the Universe-system, and that there is nothing in the Individual except this system which harmonises with the Universal. Accordingly, if we look at an actual knowing individual — such as each of us is — we find that his nature, as it empirically appears to us, fails to exemplify the category in two ways. It is too large, and not large enough. On the one hand, I do not know the whole universe perfectly. On the other hand, I am not merely a knowing being, but have also volitions and emotions. The Encyclopaedia, as was mentioned above, calls this category Cognition. It is inconvenient, of course, that the same name should be used both for the wider category and for its subdivision \ but otherwise the nomenclature of the En- cyclopaedia seems better. For what exemplifies the category is not truths or true propositions — non-existent realities,which are just as real whether they are or are not ever known by anyone. The category is exemplified by knowledge — by existent states of existent conscious Individuals. And this is expressed more clearly if the category is called Cognition than if it is called the Idea of the True. What have we gained by the establishment of this category? We have not proved that there is some knowledge — that some beliefs are true. The assertion that there is some knowledge could never be proved, for any proof offered would consist of assertions, which, if valid, would be knowledge. Thus the proof would assume the conclusion to be proved. On the other hand, any attempt to disprove it, or even to deny or doubt it, would equally assume its truth. ^ Wallace, in his translation, avoids this inconvenience by calling the sub- division Cognition Proper. II. THE IDEA OF COGXITIOX 295 This then, could not be proved, and, moreover, the dialectic is here concerned, not with knowledge itself, but with a category, of which knowledge furnishes indeed the only example known to us, but which must nevertheless be carefully distinguished from that example. What is really gained by this category is that we know that the Universe is an organic system of Individuals, the nature of each of which forms another system, in harmony with the system of the Universe, and determined by it. 281. The Idea of the True is divided by Hegel into Analytic Cognition and Synthetic Cognition. These appear to be Thesis and Antithesis respectively, but the Synthesis is lacking. It seems curious that he did not take Philosophical Thought as the Synthesis, since he certainly regards this as being both analytical and synthetical (cp. Enc. 238). Hegel discusses Analytic and Synthetic Cognition at con- siderable length {G. L. iii. 278—319. Enc. 227—232). What he says about them is sufficiently simple and straightforward. I omit it here because it seems entirely irrelevant to the category which we are considering. Once more Hegel has been misled by the concrete state which he has taken as an example of his category. The distinction which he draws here is not between analytic and synthetic propositions, but that between knowledge obtained by a process of analysis and knowledge obtained by a process of synthesis. Both of these processes can yield synthetic propositions. Now the distinction between these two processes may be very relevant when we consider the state of knowledge as empirically known to us. But there is no corresponding dis- tinction to be found in the category of the dialectic, with which Hegel is dealing here. Indeed, we may go further. Not only are we unable to see what distinction in the category should correspond to the distinction between analytic and synthetic knowledge, but we are able to see clearly that there can be no such distinction. For the distinction between analytic and synthetic know- ledge relates wholly to the method of acquiring it. The distinction does not exist in the nature of the knowledge, as 296 CH. X. THE IDEA known. If I know that Caesar is mortal, I know the same truth, whether I learn it by seeing him die, or by deduction from the truth that all men are mortal. The other truths acquired along with it by the same process may be different in the two cases. In the first, I may learn along with the fact that Caesar is mortal, the fact that Brutus stabbed him. In the second, I may learn along with the fact that Caesar is mortal, the fact that Brutus is mortal. But the knowledge that Caesar is mortal will be the same, by whichever method it is acquired. This distinction can therefore have no place in the present category, the example of which is not the acquisition of know- ledge, but the possession of the knowledge when acquired. When the dialectic passed from the lower categories of Teleology to Realised End, it became clear that the application of the category to any subject-matter involved, not that the Means were becoming the manifestation of the End, but that they tuere the manifestation of the End. Nothing that has happened since that point has given us a right to change that conclusion. The Means expressing the End have developed into the Indi- vidual-systems which harmonise with the Universal-system, but the relation between the w^hole and the parts has remained a relation of manifestation, not a relation of a process towards manifestation. Nor is anything in Hegel's treatment of Life inconsistent with this view. He takes the Body, indeed, as an inadequate and temporary manifestation of the Seele, but still, such as the manifestation is, it is always present when the category of Life is present. The category does not deal with the gradual production of Life. Thus the principle on which these subdivisions, Analytic and Synthetic Cognition, have been introduced seems unjustified. And the mass of detail given under them, while applicable enough to the concrete process of acquiring knowledge, contains nothing which has any significance with regard to the category. I therefore believe myself justified in omitting it. 282. Hegel's error in introducing these subdivisions does not destroy the line of his argument, for we can go directly from the undivided categforv of the Idea of the True to the II. THE IDEA OF COGNITION 297 next category — the Idea of the Good. Hegel himself indeed makes the transition from the subdivision of Synthetic Cognition, but, if it was not for the error which led to the introduction of the subdivisions, he could have made the transition just as well from the undivided category. The transition, according to Hegel, rests on the necessity of Cognition (G. L. iii. 319. Enc. 232). As the account in the Encyclopaedia is both clearer and shorter than the account in the Greater Logic, I will quote the Encyclopaedia. The two accounts do not, I think, differ in meaning. " The necessity," says Hegel, " which finite cognition produces in the Demonstra- tion, is, in the first place, an external necessity, intended for the subjective intelligence alone. But in necessity as such, cognition itself has left behind its pre-supposition and starting- point, which consisted in accepting its content as given or found. Necessity qua necessity is implicitly the self-relating notion. The subjective idea has thus implicitly reached an original and objective determinateness — a something not-given, and for that reason immanent in the subject. It has passed over into the idea of Will." It is obvious from this that Hegel regards the necessity of the harmony of the Individuals with the Universe as giving so much stability and self-centredness to the Individuals that we must add to the statement that they harmonise with the Uni- verse, the further statement that the Universe harmonises with them. If the harmony of the Individuals with the Universe were gradually attained, then the necessity of the harmony would also be gradually attained. And since his comparison of the harmony with the concrete state of knowledge has led him to regard the harmony as gradually attained, he regards the necessity as gradually attained also. He supposes it to be attained by something analogous to the process of Demonstration, which he treats under Synthetic Cognition, and therefore does not find himself in a position to make the transition to the Idea of the Good till he has reached the end of Synthetic Cognition. If, however, we realise that the harmony must exist in its full completeness if the category of the Idea of the True is applicable at all, we shall see that in reaching the Idea of the True we have reached the conception that the harmony is 298 CH. X. THE IDEA necessary. If the category is valid, then the Individual-systems are determined by the Universe-system to harmonise with it. And therefore the harmony is necessary — which is, as Hegel himself asserts, sufficient to allow us to pass to the Idea of the Good. 283. Hegel is, I think, right in maintaining that the necessity of the harmony, considered as determined from the side of the Universe, entitles us to conceive it as being equally determined from the side of the Individual. If a harmony is imperfect, if it is only accidentally perfect, or if the necessity of its perfection is due to some outside cause, there is some meaning in saying that the harmony is determined by one side rather than the other — by A and not by B. For in all these three cases a want of a perfect harmony can be conceived, and our assertion means that, in such a case, we should regard B, and not A, as defective in harmony. We say that the actions of a citizen are in harmony with the law, and not that the law is in harmony with them. For we can conceive that the citizen should cease to be law-abiding ; and, if he did, we should condemn his actions, and not the law, for the discrepancy. And, again, it might be that A could exist without being in harmony with B, while B could not exist without being in harmony with A. In this case, also, we might say that A rather than B determined the harmony, on account of the logical priority of A. But it is not so here. The harmony between the Universal and the Individual is perfect, necessary, and not due to any outside cause, but to the intrinsic nature of the related terms. The absence of the harmony is inconceivable. We cannot therefore say that one term rather than the other is shown to be defective by any possible discrepancy, and so declare the other term to be the determinant. Nor can we pronounce either term determinant on the other possible ground — that it is independent of the harmony while the other is not independent. For, if the category is correct, the Universe depends on the harmony quite as much as the Individual, They only exist in virtue of the harmony between their systems and the system of the Universe. But the same is true of the Universe. And therefore it is no truer to say that II, THE IDEA OF COGNITION 299 the Universe determines the Individuals than it is to say that the Individuals determine the Universe. 284. The first use that Hegel makes of this result is to conclude that, as one is no truer than the other, we must say both. To the statement that the Universe-system determines the Individual-systems, we must add the statement that the Individual-systems determine the Universe-system. So we reach B. The Idea of the Good (G. L. iii. 320. Enc. 233), which is called in the Encyclo- paedia by the name of Volition (Wollen). Volition mast not be taken here as meaning the desire to change, or to resist change, which is the form in which Volition usually shows itself. If this were the case there would be nothing appropriate in naming this category after it, since the category involves a perfect harmony, and also a necessary harmony, so that there can be no question either of promoting or of resisting change. It is not this, however, which Hegel means by Volition here. He means by it the judgment of the existent by the standard of Good. Such a judgment, of course, leads us to desire action if it reveals a difference between the fact and the ideal, but involves no desire of action when the harmony between the fact and the ideal is already perfect. Taken in this sense Volition is an appropriate name for a category which asserts that the Individual determines the nature of the Universe, since in volition, as we said above, it is the object, and not the self, which is regarded as defective if the harmony is imperfect. The Idea of the Good is a better name for this category than Volition in so far as it does not, like Volition, suggest the idea of change. In other respects, however. Volition is the better name, since the example Hegel means to take is clearly a psychical state and not the ethical idea of Goodness. It is, I think, evident that Hegel took the essence of the psychical state of volition to be as described above, since the category of Volition, as treated by him, includes a state of perfect harmony, which could certainly not have as its example a desire for changed 1 Lotze takes a similar view of the essence of Volition. Cp. Microcosmus, Book IX, Chapter 5 (trans. Vol. 2, p. 706). 300 CH. X. THE IDEA 285. But it must be noticed that he fell into an error with regard to this category analogous to that which he committed with regard to the Idea of the True. He conceives the category as dealing with the process of producing such a harmony, before it deals with the established perfect harmony. This is erroneous. For, in the first place, the reasons given above (Sections 281, 282) to show that the Idea of the True deals only with a harmony inevitably and originally perfect, and not with the production of such a harmony, are also applicable here. In the second place, even if the production of the harmony could have found a place in the Idea of the True, it could not do so in the Idea of the Good. For at the end of the Idea of the True, the harmony, Hegel says, has been established in its necessity and perfection. Now it is from this point that his treatment of the Idea of the Good begins. And since his argument, as seen above, is that the necessary and perfect harmony, under the earlier category, involves necessary and perfect harmony under the later category, then the later category must have the necessary and perfect harmony throughout, even if the earlier did not. The order of these two categories could not have been inverted. It is impossible that the Universe-system should be determined by the Individual-systems so as to be in harmony with all of them, if the Individual-systems varied indefinitely from one another in content (cp. above. Section 279). And the possibility of this is only disproved by showing that the Individual-systems are all determined by the Universe- system, so as to be in harmony with it. Thus we could not have the Idea of the Good, in which the Individuals are determinant, until we have had the Idea of the True, in which the Universe is determinant. 286. Hegel says of the Idea of the Good that it is higher than the Idea of the True, " because it has not only the value of the Universal, but also the value of the simply Actual " {G. L. iii. 320). It would seem from this that the second category — the Idea of the Good — has both values, that of the Universal and that of the Actual. As the Universality is regarded by Hegel as the characteristic of the Idea of the True, it follows that the second category contains the first, besides II. THE IDEA OF COGNITION 301 containing also fresh content. Its standpoint is one which finds its example, not in gratified volition by itself, but in the combination of true knowledge and gratified volition. Hegel is entitled to take this position, for the argument which led us on to the Idea of the Good did not do so by showing that there was any contradiction in the harmony with the Universe taken as the determinant, but that the validity of that conception involved the validity of the harmony with the Individuals taken as determinant. The second conception was added to the first, and did not replace it. This is not inconsistent with the general principle of the dialectic method, for, though the two categories in question stand, apparently^ in the relation of Thesis and Antithesis, yet we are here so close to the end of the dialectic that its movement, according to the law laid down by Hegel^ has become almost a direct advance from each category to the next. It is thus the combination of the two standpoints, exemplified by knowledge and volition, which is regarded by Hegel as being higher than the standpoint exemplified by knowledge. There is nothing to suggest that he would consider the standpoint exemplified by volition as being by itself higher than that exemplified by knowledge. Indeed, his application of the dialectic to concrete facts strongly suggests that he would not consider the standpoint exemplified by volition as being higher. For nothing is clearer about Hegel than that he does not regard the concrete spiritual state of volition as higher than that of knowledge, and that he does not regard virtue as a higher excellence than wisdom. 287. Hegel clearly considers that the establishment of this category gives us the right to assert that the Universe is com- pletely good. Can this be legitimately deduced from the result reached in the category — that the nature of the Universe conforms to a description whose only example, known or imaginable, includes gratified volition ? The question does 1 This is only an inference, as no third term is explicitly given. But I cannot doubt that the term left to be supplied is the Synthesis, and that the two which are given are the Thesis and Antithesis. •^ Cp. e.g. my Studies in the Hegelian Dialectic, Chapter iv. 302 CH. X. THE IDEA not really belong to the dialectic itself, but to its cosmological applications, and does not concern us here\ 288. The transition from this category rests on the fact that the complete harmony, with the Individual as determinant, involves (as we have previously seen) the complete harmony, with the Universe as determinant. " In this result Cognition is restored, and united with the practical Idea, the given Actuality is at the same time determined as the realised absolute End, but not, as in the process of Cognition (im suchenden Erkennen) simply as an objective world without the subjectivity of the Notion, but as the objective world of which the Notion is the inner ground and actual existence" (G. L. iii. 327. Cp. Enc. 235). The argument is that it is impossible to adhere to the position at which we now stand — that, in the harmony of the Universe and the Individual, the Universe determines the Individual, and the Individual also determines the Universe. It will be remembered that the transition to the Idea of the Good was effected by the argument that, since the harmony between the Universe and the Individual was necessary, perfect, and intrinsic, any question as to which would be pronounced defective if the harmony were defective was absurd, and that, since the harmony was essential to the existence of either term, neither could be said to be logically prior to the other in the harmony. From this the result was reached that it was no truer to say that the Universe determines the Individuals than to say that the Individuals determine the Universe. From this Hegel starts by saying that, since one proposition is no truer than the other, both are true. This gave us the category of the Idea of the Good (cp. above, Section 284). 1 Even if the Universe were completely good, Hegel would not be justified in bis corollary: "All unsatisfied endeavour ceases, wben we recognise tbat tbe final purpose of tbe world is accomplished no less than ever accomplishing itself" {Enc. 234). If the Universe is seen as it truly is, then, according to Hegel, there could be no unsatisfied endeavour, or endeavour of any kind. And so endeavour could not cease because of its superfiuity, since it never existed. If, on the other hand, tbe Universe is looked at in such a partially illusory manner that endeavour appears to exist, then tbe utility of the endeavour may be as real as its existence. When Hegel came to apply bis philosophy to the time-world, he realised this. He did not, for example, condemn the efforts of Socrates, or of Luther, as useless. III. THE ABSOLUTE IDEA 303 But this, Hegel now goes on, is inadequate, and must be transcended. For the real result of what has been shown is to put the two sides of the harmony on a level, not by making them each determine the other, but by removing altogether the conception of either side being determinant. That side is determinant to which, in one way or the other, the other is subordinate. We see now that neither side is subordinate to the other, since neither is logically subsequent to the other, and neither is to be condemned as defective for an actual or possible want of harmony. The consequence of this is not that each of them is determinant, but that neither is. Thus we see that the harmony is ultimate. It is essential to the nature of existence that it should form a Universe composed of Individuals, that the Universe and that each Individual should form an organic system, and that the Universe-system and each of the Individual-systems should be in perfect harmony with one another. 289. Hegel takes this as the transition to the Absolute Idea. If the symmetry of the dialectic was to be preserved, he should have first passed to a third subdivision of Cognition, which should complete the triad of which the Idea of the True and the Idea of the Good are the first two members, and then, from this new category, have passed over to the Absolute Idea. If the Absolute Idea, like Cognition, had been subdivided, the last subdivision in Cognition would have been identical in content with the first subdivision of the Absolute Idea. But the Absolute Idea is not subdivided, and the last subdivision in Cognition could not consistently with the general method of the dialectic be identical in content with the Absolute Idea as a whole. Hegel, apparently, could discover no intermediate stage between the category of the Idea of the Good, and the category of the Absolute Idea. And I can make no suggestion to fill the gap. The transition remains unsymmetrical, but not, I think, invalid. III. The Absolute Idea. 290. (0. L. iii. 327. Enc. 236.) In this not only the Idea of the True and the Idea of the Good are synthesised, but also Life and Cognition. Cognition, as is natural so close to the 304 CH. X. THE IDEA end of the dialectic, is so direct an advance upon Life, that we do not find many characteristics of Life in the Absolute Idea which were not also in Cognition, But in the Absolute Idea, as we have seen, the harmony is recognised as ultimate — not as due to the dependence of one side on the other. And in this the Absolute Idea may be said to have returned to a character- istic which belonged to the category of Life, when the expression of the Seele in and by the Body was conceived as an ultimate fact, not due to the subordination of either side to the other \ The transition, as I said above, seems to me valid, for the Absolute Idea, to judge by Hegel's words, does just mean what the category of Cognition would mean after the elimination of the erroneous conception that one side is determined by the other. The nearest approach to a definition given in the Greater Logic is as follows : " The Notion is not only Seele, but free subjective Notion, which is for itself and therefore has Person- ality; it is the practical objective Notion, determined in and for itself, which, as a Person, is impenetrable, atomic Subjec- tivity, but which is just as much not exclusive Individuality, but Universality for itself, and Cognition, and which has in its Other its own Objectivity as Object (Gegenstand). All else is error, confusion, opinion, strife, caprice, and impermanence ; the Absolute Idea alone is Being, permanent Life, Truth which knows itself It is all Truth " {G. L. iii. 327). In the Encijclo- jmedia he says, " The Idea, as unity of the Subjective and Objective Idea, is the Notion of the Idea — a Notion for which the Idea as such is Object (Gegenstand) and Object (Objekt) — an Object (Objekt) in which all determinations have come together" (Enc. 236). 291. What does Hegel mean by this ? We must first / consider a suggestion which he makes — as I think, erroneously. We find it stated most clearly in the Encyclopaedia. The content of the Absolute Idea he says " is the system of Logic. All that is at this stage left as form for the Idea is the Method of this content — the specific consciousness of the value and ^ Perhaps it should rather be said that this characteristic should have belonged to the category of Life, since it scarcely seems consistent with Hegel's treatment of the expression of the Seele by the Body as necessarily inadequate. III. THE ABSOLUTE IDEA 305 currency of the moments in its development. To speak of the Absolute Idea may suggest the conception that we are at length reaching the right thing and the sum of the whole matter. It is certainly possible to indulge in a vast amount of senseless declamation about the Absolute Idea. But its true content is only the whole system of which we have been hitherto studying the development " {Enc. 237). And again in the Greater Logic : " Thus what here still has to be observed is not a Content as such, but the Universal of its Form — that is, the Method " (G^. Z. iii. 329). There is doubtless an element of truth in tliis. The step we take in reaching the Absolute Idea is no different in character from previous stages in the dialectic process, nor is the advance we gain in it greater than in previous steps. We have reached the absolute truth about reality now, but we had very nearly reached it in the previous category. Hegel would be perfectly justified if he merely wished to warn us against expecting anything in the last stage of the dialectic which should be much more mystical or wonderful than the stages immediately preceding it. But Hegel means more than this, and in doing so I think he falls into error. The meaning of the Absolute Idea is not, and cannot be, simply that it is the idea which is reached at the end of the dialectic process. Each category in the process asserts certain characteristics of existence, and has therefore a meaning which cannot be reduced to its place in the dialectic. In fact, it only has its place in the process by reason of the rela- tion which the determination of existence given by it bears to the determinations given by the other categories in the process. r~ The Absolute Idea, therefore, has a content. And, although much of its content is to be found also in previous categories, it is not necessary to go back through the whole series of previous categories whenever we wish to state the content of the Absolute Idea — though of course the validity of the Absolute Idea can only be proved by going through all these previous stages. It is not necessary to go through them to state the content of the Absolute Idea because that Idea contains the truth of them all, not by containing the separate categories as a process, but by containing that part of their y M«i. 20 306 CH. X. THE IDEA content which is true, synthesised into a single unity, the false and inadequate part of the content of those lower categories having been transcended. It is not, therefore, necessary to go through the categories, nor would it be suffi- cient, since, after all, the Absolute Idea is an advance, even on the Idea of the Good, and so there is something in it which is not in any of the other categories. Besides, Hegel is here inconsistent. In the passagc^s quoted above {G. L. iii. 327. Enc. 236. Cp. above, Section 290) he has given accounts of the nature of the Absolute Idea which are not in the least statements of the Method of the dialectic, but, on the contrary, statements of what existence is conceived to be, when it is taken under this category. 292. Returning to these two accounts, we find, I think, that they are what Hegel is justly entitled to assert about the Absolute Idea in consequence of the transition by which, as he has demonstrated, it is reached from the Idea of the Good. It will be, as was said above, the same in content with the Idea of the Good, except that the two sides of the harmony are no longer asserted each to determine the other. That is, in affirm- ing it we assert that all that exists forms a Universe com- posed of Individuals, that the Universe and that each Individual is an organic system, and that the relation which exists between the Universe-system and each of the Individual-systems is one of perfect harmony. This is what Hegel is entitled to assert as the content of the Absolute Idea ; and this, I think, is what he does assert. In both the Greater Logic and the Encyclopaedia, he states that the Idea is its own Object. The use of tiie word Object suggests that the relation in question is analogous to the relation between a state of consciousness and its object, while the statement that the Object of the Idea is the Idea itself suggests that the whole of the content is to be found on both sides of the relation. So far, then, his words support my view of what he means by this category. The fact that he says that it is the Idea which is its own Object — while, if I am right, what he means is, that, according to the Idea, the Universe is the Object — can be no objection to anyone familiar with Hegel's methods of expression. III. THE ABSOLUTE IDEA 307 According to the view I have put forward, indeed, there are other characteristics which must be included in the Absolute Idea. The Universe is differentiated. It consists of an organic system of Individuals. And the Subject-Object relation of which Hegel speaks is one where the Universe as a whole is Object to each of the Individuals as Subjects. These further characteristics are not mentioned by Hegel here. But there is nothing in what he says which is inconsistent with them. And as there is, I think, no doubt, that all of them are found in the category of Cognition, and as there is nothing in the transition from that category which could involve their removal, we are entitled to hold that they are all found in the category of the Absolute Idea. 293. We may add something which is not mentioned by Hegel, but which seems a fair deduction from his position. Each Individual, we liave seen, is in harmony with the Universe, and the Universe is an organic unity consisting of all the Individuals. From this it follows that each Individual is in harmony with all the other Individuals. This statement would not be an adequate substitute for the previous statement— that the Universe and each Individual are in harmony. For, in saying that the harmony is between the Universe and each Individual, we bring out the fact that the harmony is between the whole and its part — a fact which is essential to the category. And this is not brought out when we say that each Individual is in harmony with all other Individuals. But if one state- ment is true the other will be. And, when the results of the dialectic are to be applied to concrete problems, it may be a matter of some importance to remember that each Individual's harmony with the Universe implies his harmony with all other Individuals. It may be objected that the new statement ignores the organic unity of the Universe. It is not the case that the Universe is equivalent to the Individuals in isolation, or as a mere aggregate, or as a mechanically determined system. It is only equivalent to the Individuals when they are joined in just this organic system. And, it might be said, this is ignored if we treat the harmony of each Individual with the Universe as involving its harmony with all other Individuals. 308 CH. X. THE IDEA I should reply to this that it in the objection itself which fails to do justice to the organic unity of the Universe, and so falls into a kind of spiritual atomism. For it assumes that it is at any rate conceivable that Individuals could exist as isolated, or as merely aggregated, or as mechanically deter- mined. Now this is just what fhe dialectic has disproved if it has done anything at all. It has shown, not only that the Individuals are in fact connected in an organic unity, but that it is essential to their nature that they should be, and that if they were not connected in this particular way they would not be Individuals at all. Thus to speak of an Individual is to speak of an Individual in organic unity with the others, just as to speak of a triangle is to speak of a figure whose angles are equal to two right angles. To object that, when the Individuals are mentioned without mentioning the organic unity, that unity is neglected, is to ignore this essentiality of the organic unity to the Individuals, and it is thus the objection which is unduly atomistic. 294. In this category the dialectic ends, and we reach, according to Hegel, the absolute truth, so far as it can be reached by pure thought. " All else," as he has told us, " is error, confusion, opinion, strife, caprice, and impermanence." There are, he asserts, no defects to be found in this conception, which compel us to proceed to a higher category to remove them. There is, indeed, one defect which reveals itself here, as in every other case where pure thought is taken in abstraction from the other elements of existence, and by means of which Hegel's philosophy is driven on, beyond the Logic, to the conception of Nature, and from that to the conception of Spirit — the final and supreme truth about all existence. But with the Absolute Idea we reach the highest and final form of pure thought. The proof that this is the final form of pure thought must always remain negative. The reason why each previous category was pronounced not to be final was that in each some in- adequacy was discovered, which rendered it necessary, on pain of contradiction, to go beyond it. Our belief in the finality of the Absolute Idea rests on our inability to find such an inadequacy. Hegel's position will hold good, unless some III. THE ABSOLUTE IDEA 309 future philosopher shall discover some inadequacy in the Absolute Idea which requires removal by means of another category. Most of the space devoted by Hegel to the Absolute Idea, both in the Greater Logic and in the Encyclopaedia, is concerned with questions relating to the dialectic method. That such questions should be discussed here follows, of course, from the position, discussed above, that the content of the Absolute Idea is the dialectic method itself But, in any case, the end of the dialectic would be a natural place for a review of the method which had been followed. To discuss the dialectic method would, however, be beyond the object I have proposed to myself in this book. 295. Is the Absolute Idea exemplified in any concrete state known to us, in the same way that the category of Cognition was ? It seems clear to me that Hegel regarded it as exemplified by consciousness of some sort. In the first place there are the references to personality in the passage quoted above from the Greater Logic (iii. 327). The Notion is here, "as a Person, impenetrable atomic Subjectivity." This does not, I think, indicate that the nature of the Universe as a whole is exemplified by personality, since the Universe would never be described by Heo-el as impenetrable or atomic. It is, I think, the parts of the Universe which are to be regarded as having these character- istics, and as therefore having a nature exemplified in personality. In the second place, we have the statement that the Idea is its own Object, and again that the Absolute Idea is the_truth which knows itself. Moreover, the harmony in the Absolute Idea is the same as the harmony in Cognition, except that neither side is taken as determinant. Now Cognition was regarded by Hegel as exemplified in states of consciousness. But what sort of consciousness gives us an example of the category of the Absolute Idea? It cannot be knowledge, or volition. For knowledge, as we have seen, exemplifies the Idea of the True — the category in which the Universe is the determinant of the harmony. And volition exemplifies the Idea of the Good — the category in which the Individual is also the determinant of the harmony. In the Absolute Idea neither side of the harmony is determinant. 310 CH. X. THE IDEA Hegel does not, so far as I can see, consider this point at all. I believe that the state of consciousness which would exemplify the Absolute Idea is love, since in love we have a state of harmony in which neither the subject nor the object can be considered as determinant. To discuss this here, how- ever, would take us beyond the sphere of the Logic, since love, though it may exemplify the Absolute Idea, is not itself a category, but a concrete state of spirits Would Hegel have agreed with this ? As I have just said, he does not consider the question in the Logic. On the other hand, we are not left without means of judging what his opinion would be. For, according to Hegel, the Absolute Idea must be true of all that really exists, and Spirit really exists — in fact, nothing but Spirit exists. If, therefore, among the various forms under which Spirit appears to us, we can find one which adequately expresses the nature of Spirit, while none of the others do so, then that form will be an example of the Absolute Idea (and, also, though this does not concern us in tlie Logic, the only instance of it). '^ There is no doubt, I think, that Hegel believes himself to have, in the Philosophy of Spirit, a dialectic process such that the last term, and the last term alone, gives us the truth about Spirit. This then would seem to be the example of the Absolute Idea. But this term is not love, but philosophy. Whether Hegel was justified in holding this may be doubted-, but the fact that he did hold it .seems to indicate that he would not have accepted love as the state of consciousness which is an [^ example of the Absolute Idea. On the other hand, in the Philosophy of Religion, " the kingdom of the Holy Ghost" is apparently taken as the absolutely true description of Spirit. And that is represented as a Community bound together by love. The question must, I think, remain undecided. 296. A Commentary such as this necessarily throws more ernpha.sis on points of difference than on points of agreement. 1 For a discussion of this question cp. e.g. my Studies in Hegelian Cosmology, Chapter IX. especially Section 284. - Cp. e.g. my Studies in the Hegelian Dialectic, Sections 204 — 206. 1 III. THE ABSOLUTE IDEA 311 I should wish, therefore, in concluding the exposition of Hegel's philosophy which has been the chief object of my life for twenty-one years, to express my conviction that Hegel has penetrated further into the true nature of reality than any ' philosopher before or after him. It seems to me that the next task of philosophy should be to make a fresh investigation of that nature by a dialectic method substantially, though not , entirely, the same as Hegel's. What results such an investi- gation may produce cannot be known till it has been tried, but much of Hegel's reasoning seems to me to vary so little from the truth, where it varies at all, that I believe the results, like the method, would have much resemblance to Hegel's own. CAMBRIDGE : PRINTED BY JOHN CLAY, M.A. AT THE TJNIVEHSITY PRESS. / PLEASE DO NOT REMOVE CARDS OR SLIPS FROM THIS POCKET UNIVERSITY OF TORONTO LIBRARY