mm jfflBH Qass j£JLSl3± Book C \j \«-*Ti- p I I THE PHILOSOPHY OF SCIENCE. T. S. BARRETT. THE PHILOSOPHY OF SCIENCE : A CONTRIBUTION THERETO, ON CAUSE AND EFFECT. BY T. a BAEEETT. Second Edition. LONDON: PROVOST & CO., 36, Henrietta Street, Covent Garden. 1872. sf\\ Exchange XJniv of Mich. FEB 3 1921 Betittauti TO ALEXANDER BAIN, GEORGE HENRY LEWES, "AND JOHN STUART MILL, WHOSE WRITINGS EMINENTLY HAVE CONTRIBUTED TO THE RIGHT METHOD FOR PHILOSOPHICAL INQUIRIES. Vll PREFACE. These pages do not pretend to be more than a very small contribution to a most important subject. At first I had intended to write more in detail, and to follow the consequences of the subjective view of Causation into the regions of Theology and Ethics. But it was found that to do this would take up more time and thought than at present can be spared, and more- over would delay publication very considerably. Under these circum- stances it has been judged better to Vlll PREFACE. issue what already is in type, and thus give at once the fundamental principles of the theory. During the last few weeks the Archbishop of York, Dr. C. M. Ingleby, Mr. H. G. Atkinson, and Mr. Samuel Neil, have kindly com- municated with me on matters con- nected with this subject ; but, to my regret, the following sheets had all been printed, and the opportunity of making additions to Chapter II. was thereby lost. T. S. B. Grove Lane, Camberwell. June 26th, 1871. IX PKEFACE TO SECOND EDITION. The first edition of these pages was entitled A New View of Causation. The reasons for choosing that title are given in the Introductory Chapter ; but, however suitable it might be for & first edition, it does not seem quite appropriate for a second. I have made a change accordingly. The only other alterations in this edition occur in the Introductory Chapter ; but they are too unim- portant for individual notice here. I regret that many pressing engage- a 3 X PREFACE. ments, at the present time, prevent my making alterations in other parts of the volume that I should have wished made — to say nothing of addition. But the present issue has been decided on rather than that the essay should remain out of print. I ought perhaps to state (as I have, somewhat at length, examined arguments in that able and interest- ing work) that Mr. Lewes has, since the publication of the third edition of his History of Philosophy, worked out a new view of Causation. " But/' he writes, " I may say this much— that as regards your acute criticism of my old view I cordially accept it." T. S. B. 21, Grace's Road, Camberwell, Surrey- March 13th, 1812. XI OF CONTENTS. PAGE Syllabus ...... xiii Note ...... xxiii CHAP. I. Introduction i Appendix (Notes i. and ii.) . n II. Historical Epitome . . 23 Appendix (Notes iii. to xv.) . 45 III. The Problem Solved . .111 Appendix (Notes xvi. to xxii.) 157 Index ...... 181 Xlll SYLLABUS OF CONTENTS. CHAPTER I. INTRODUCTION. SECT. i. Apology for writing (p. 3). i. A list of the principal works read or consulted (13). 2. Mr. Gillespie's Argument A priori rests on the popular idea of Cause (5). ii. Controversy with Mr. Gillespie (20). 3. Same idea is shared by many thinkers (9). XIV SYLLABUS OF CHAPTER II. HISTORICAL EPITOME. SECT. i. The subject of Causation makes its appearance in every modern work on philosophy (25). 2. The commencement of the con- troversy (26). 3. Was chiefly owing to Hume (28). Hi. § 1. Hume's predecessors (47). 2. Barrow. 3. Butler (48). 4. and Hobbes. 5. Mr. Lewes quotes Glan- vill (49). 6 — 10. Extracts from Berkeley (50). 11. An important difference however between Ber- keley and Hume (51). 12. Passages from Locke. CONTENTS. XV SECT. 4. Hume's theory stated (29). iv. § 1. A difference of opinion in some quarters concern- ing what Hume's theory really was (53). 2. Owing to a variation be- tween the Essays and the Treatise of Human Nature. 3 — 4. The variation described (54)- 5 — 6. The Essays-theory (55). 7. The Treatise-theory (57). 8. The difference pointed out. 9 — 10. Ignorance of the difference the cause of mistakes (58). 5. The question is resolved into one of definition (33). v. Remarkable grouping of opi- nions on Causation (60). vi. Mr. Lewes's criticism of Hume's theory (61). XVI SYLLABUS OF SECT. 6. The reply of Hume's opponents 7. Dr. Whewell's opinion (36). 8. Kant's view (37). xv. § 1. Extract from Chalybaus (107). 2. Do. from Whewell(io8). 3. Do. from Fleming (109). 9. The opinions of Brown and Stewart (38). 10. Mr. Lewes's reply to Hume (39). 1 1. There are many other solutions of the problem. 1 2. Mr. Mill's definition (40). vii. Extracts from Mill (73). 13. Sir W. Hamilton's theory (40). viii. Extracts from Hamilton (75). 14. Professor Bain's view (40). ix. Extracts from Bain (80). 15. Baden Powell's opinion (41). x. Extract from Powell (82). CONTENTS. XV11 SECT. 1 6. Mr. Atkinson's view (41). xi. Extract from Atkinson (86). xii. Discussion on Law (87). 17. The opinion of Brown, Comte, and Mr. Mansel (41). 1 8 . The sentiments of Dugald Stewart, Malebranche, Berkeley, and Leibnitz (42). xiii. Extracts from Stewart and Berkeley (101). 19. Conclusion. xiv. Synopsis of opinions. § 1. What is Causation really? (103)- 2. Is there any necessary con- nection between Causes and Effects ? (104). 3. Is Causation universal? (105). 4. How is the idea of Causation in natural events produced in us ? (106). 5. Is the belief in the universality of Causation apodeictic ? XV111 SYLLABUS OF CHAPTER III. THE PROBLEM SOLVED. SECT. i . What is the use of the discussion ? ("3). 2, 3. Answered (114). The popular signification of the word c cause' (116). 4. Dr. Johnson's definition. 5. Is Hume's definition a better one ? 6, 7. Mr. Mill's definition criticised 8. Perhaps the idea of necessity- may solve the difficulty (119). 9. Necessity a sine qua non of the causal notion (120). CONTENTS. XIX SECT. 10. The idea of necessity is a de- velopment (121). xvi. Origin of belief in causes. Extract from Buckle (159). 11. The primary idea of necessity. c Logical necessity' (122). xvii. The Law of Consistency: Extracts from Bain (163). xviii. Definitions of Necessity (165). 12. Hume maintained that the idea of necessity was developed illogically (123). 13. Hume's tenet a half-truth (124). 14. Experience of invariability gives rise to the idea of necessity. 15. Example. Gravitation (125). 1 6. Inference. We know only Laws. xix. Extract from Hamilton (167). XV111 SYLLABUS OF CHAPTER III. THE PROBLEM SOLVED. SECT. i . What is the use of the discussion ? (113). 2, 3. Answered (114). The popular signification of the word c cause' (116). 4. Dr. Johnson's definition. 5. Is Hume's definition a better one ? 6, 7. Mr. Mill's definition criticised ("7). 8. Perhaps the idea of necessity- may solve the difficulty (119). 9. Necessity a sine qua non of the causal notion (120). CONTENTS. XIX SECT. 10. The idea of necessity is a de- velopment (121). xvi. Origin of belief in causes. Extract from Buckle (159). 11. The primary idea of necessity. c Logical necessity' (122). xvii. The Law of Consistency : Extracts from Bain (163). xviii. Definitions of Necessity (165). 12. Hume maintained that the idea of necessity was developed illogically (123). 13. Hume's tenet a half-truth (124). 14. Experience of invariability gives rise to the idea of necessity. 15. Example. Gravitation (125). 1 6 . Inference. We know only Laws . xix. Extract from Hamilton (167). XX SYLLABUS OF SECT. 17. There is a widespread misunder- standing of the N ature of Law (127). xx. Meaning of Law (168). § 1. Extract from Fleming. 2. Do. Paley. 3. Do. Hale (169). 4, 5. Quotations from Mill. 6. Extract from Berkeley (170). 7, 8. Quotations from the Duke of Argyll (171). 9. Extract from Bain (173). 18. Law merely a name for gene- ralizations (128). 19. Law does not involve necessity (129). 20. There is, however, a necessity flowing from a Law. The necessity of implication. 21. Or conditional necessity (130). 22. This is the necessity we impute to phenomena (131). CONTENTS. XXI SECT. 23. Comparison between the ideas of necessity in Logic and Induc- tive science (132). 24. No other kind of necessity known to us than subjective necessity (133)- xxi. Gravitation (174). 25. We must see what the idea of Causation should be, rather than what it popularly is (134). 26. The idea of necessary connection arises from observation of uni- formity. 27. The idea in its crudest form 28. Example. Friction (136). 29. Ditto. Expansion by heat. 30. The reputed Cause alleged to be only part of the real cause (^37)- XXU SYLLABUS OF CONTENTS. SECT. 31, 3 2. Employment of the term c conditions ' instead of the word c causes' (138). 33. Analogy to Logic (140). 34 — 36. The conditionality of the necessity (141). xxiL Extracts from Baden Powell (176). 3 7—3 9. Process of Explanation ( 1 44) . 40. Example from Baden Powell . (I47) - 41, 42. Confusion caused by abstract terms (148). 43, 44. The real nature of explanation exemplified in the case of Torricelli (150). 45. Recapitulation (153). 46. Corollary (154). XXlll NOTE. With regard to the question, i Must every event have a cause]' thinkers are divided into two great classes. Kant, Whewell and others of ' intuitive ' and ' idealistic ' pro- clivities, and Mr. W. H. Gillespie, say, ' Yes ; that every event has a cause is a necessary or apodeictic truth/ Hohhes, Buckle, Lewes, Mill and others, on the contrary, contend that it is not a certain truth, — that, those who believe that every event has a cause, get such belief as they obtain other generalisations from experience. In replying to the question, it seems to me that there are two paths open. One is, as is above hinted at, to institute an inquiry into the source of knowledge in general, and to see whether we have any knowledge independent of experience. The other way, made popular by David Hume — to inquire into what we mean by the term ' cause'— is the one pursued in the following pages. CHAPTER I. INTRODUCTION. CHAPTER I. INTRODUCTION. i. It was with no small amount of trepidation that I ventured to entitle the first edition ' A new view of causation.' I fully felt the risk I ran of being told that had I had a little more acquaintance with the writings of my predecessors and contemporaries I should not have prided myself on discovering what others had already promulgated. It is now some years since the view b 2 4 CHAPTER I. of causation ventured in the third chapter of this essay first broke on me ; but in the meantime, when- ever the opportunity occurred, I searched the writings of metaphy- sicians and logicians for the develop- ment of a similar idea. But in no case did I find exactly the same notion. The nearest approach was in the Connection of Natural and Divine Truth, by the late Eev. Baden Powell; but on some im- portant points we shall be found to differ. It is true I cannot lay claim to a very extensive acquaintance with the works of philosophers; other occupations and circumstances have, to a great extent, precluded this.* But as I found that neither Mr. Mill nor Professor Bain, nor * See Note i. INTRODUCTION. 5 apparently any one of the latest writers, made any allusion to such a theory, I inferred that until then it had never been suggested. In any case, however, the title I adopted may have been useful in attracting notice to what, if true, must be im- portant, and to what, if old, had seem- ingly fallen into unmerited oblivion. 2. For many reasons the popular idea of causation needs a thorough examination. One is, that the most momentous questions are made to depend on it. The very existence of a Deity is, with some persons, made out almost entirely from their conception of causality. The 'Argu- ment a priori for the existence of a Great First Cause' by Mr. W. H. Gillespie* is a case in point. The # See advertisement at end of volume. 6 CHAPTER I. a priori method in natural theology is to reason deductively and ab- stractedly from the notion of cause, keeping all design out of sight. Pro- fessor Newman has well said :* — ' Injustice is done to the train of 6 thought which suggests Design, ' when it is represented as a search ' after causes, until we come to a ' First Cause and there stop. As an ' argument, this, I confess, in itself, 6 brings me no satisfaction. . . ' A God uncaused and existing from 1 eternity, is to the full as incom- ' prehensible as a world uncaused ' and existing from eternity. We ' must not reject the latter theory, ' merely as incomprehensible ; for ' so is every other possible theory. ' To believe in a divine architect, The Soul 7th edit. p. 27. INTRODUCTION. 7 ' because I cannot otherwise under- ' stand by what train of causation ' an eye could have been made, ' is one thing ; but to believe in ' a designer, because I see the eye 'to be suited to light, is another ' thing.' Now, this inference of the being of Deity, because it cannot otherwise be understood how things could exist, is the very pith of Mr. Gillespie's argument. Not a word about design — nothing but the theory of ' a God uncaused and exist- ing from eternity/ in order to avoid belief in ' a World uncaused and existing from eternity' — a process of explanation not a whit more satisfactory than the ancient one of the earth resting on an elephant. "lis true that Mr. Gillespie's argu- ment on this head is concerning the existence of Intelligence and not that 5 CHAPTER I. of Matter ; but as far as the reason- ing is involved there is not much difference.* ' There is Intelligence in the universe/ argues Mr. Gillespie ; ' and it must either have existed from eternity, or have begun to be. And if it began to be, it must have had a cause ; for, whatever begins to be must have a cause.' Now, Mr. Gillespie's work professes to rest entirely on apodeictic premisses, and to be as much a demonstra- tion as any in mathematics. Con- sequently, the postulate, whatever begins to be must have a cause (being a generalisation from contingent * Any one reading Mr. G.'s ' demonstration' for the first time, would see the similarity with diffi- culty, owing to a sophistical change of terms. The ' demonstration ' starts with the thinker's own in- dividual intelligence ; but absolute intelligence is afterwards substituted for it. There are a few other points of difference, mention of which in this place is not necessary. INTRODUCTION. 9 experiences and therefore not a necessary truth), is out of place in an argument aspiring to be a demon- stration. This I pointed out to Mr. Gillespie ;* but I could not convince him that his postulate was not apodeictic. 3. Now Mr. Gillespie's idea on the above point is shared by a large number of thinkers — especially per- haps by scientific men ; and it has seemed to me that the only effectual method of showing its error is to make a thorough inquiry into the nature of causation in general. * See Note ii. B 3 APPENDIX TO CHAPTEE I. NOTES I. AND II. APPENDIX TO CHAPTEE I. NOTE L (Referred to in § I.) A LIST OF THE PRINCIPAL WORKS WHICH HAYE BEEN READ OR CONSULTED. Argyll (Duke of), The Eeign of Law. Atkinson and Martineau, Letters on the Laws of Man's Nature and Development. Aristotle, Metaphysics. Abercrombie, Inquiries concerning the Intellectual Powers. An Essay upon the Eelation of Cause and Effect, controverting the Doc- trine of Mr. Hume. 1824. Antitheos, Eefutation of the Argu- ment a priori. Approximations to Truth ; [or] Na- turae Novum Organon. 14 APPENDIX TO CHAP. I. Bacon, "Works. Bailey, Letters on the Philosophy of the Human Mind. Bain, Mental and Moral Science. Bain, Common Errors on the Mind. (Fort. Rev. 1868.) Bain, Logic. Baronius, Metaphysic. Bayle, Historical and Critical Dic- tionary. Beattie, Essay on Truth. Berkeley (Bishop), "Works of. Bledsoe, Theodicy. Bray, Philosophy of Necessity. Bray, Force, and its Correlates. Brougham, Life of Hume. [In the Lives of Men of Letters.] Brougham, Discourse of Natural Theology. Brown, Lectures. Brucker, History of Philosophy. (Abridged by Enfield.) Btichner, Force and Matter. Buckle, History of Civilisation. (In- trod. Vol.) The Future. Edited by Luke Burke. Butler, Works. NOTE I. 15 Campbell, Dissertation on Miracles. Chalmers, Works. Chalybaus, Speculative Philosophy from Kant to Hegel. Christmas, The Cradle of the Twin Giants. Clarke, Demonstration of the Being and Attributes. Clarke, Correspondence with Butler, Leibnitz and others. Clarke, Remarks on Collins's Inquiry concerning Liberty. Collins, Philosophical Inquiry con- cerning Human Liberty. Colston, Basis of Moral Science. Combe, Belation between Science and Beligion. Comte, Cours de Philosophie Posi- tive. Copleston, Enquiry into the Doc- trines of Necessity, &c. Crombie, Essay on Philosophical Necessity. D'Holbach, Systeme de la Nature. Diogenes Laertius, Lives of the Philosophers. Edwards, Inquirv into Freedom of the Will. 1 6 APPENDIX TO CHAP. I. Encyclopaedia Britannica : Articles ' Cause ' and ' Metaphysics/ English Cyclopaedia : Article ' Cau- sation/ Foster, Essays on Natural Religion. Fowler, Mozley and Tyndall on Miracles. Gassendi, Discourses on Morals. Gillespie, The Necessary Existence of God. Godwin, Political Justice. Hamilton, Discussions. Hamilton, Lectures on Metaphysics. Hamilton, Dissertations on Reid. Hartley, Observations on Man. Hobbes, Works. Hume, Philosophical Works. Huxley, On the Physical Basis of Life. (Fort. Rev. 1869.) Huxley, Lay Sermons. Ingleby, Introduction to Metaphy- sics. Irons, Analysis of Human Respon- sibility. Janet, Materialism of the Present Day. Jackson, Defence of Human Liberty. 1725. NOTE I. 17 Kaimes, Principles of Morality and Natural Eeligion. Kant, Critique of Pure Reason. Leibnitz, Correspondence with Dr. Clarke. Leland, Deistical Writers. Leslie, Dissertation on Mathematical and Physical Science. Lewes, History of Philosophy. Lewes, Physiology of Common Life. Lewes, Aristotle. Lewes, Comte's Philosophy of the Sciences. Locke, Works. Lowman, A priori Argument. Macdonald, The Principia and the Bible. McCosh, Intuitions of the Mind. McCosh, Examination of Mill's Philosophy. McCosh, Christianity and Positivism. Malebranche, Search after Truth. Mansel, Limits of Eeligious Thought. Mansel, The Philosophy of the Con- ditioned. Martineau (James), ' Is there any axiom of Causality ? ' Masson, Eecent British Philosophy. 1 8 APPENDIX TO CHAP. I. Maurice, Moral and Metaphysical Philosophy. Miall, Bases of Belief. Mill, System of Logic. Mill, Examination of Sir W. Hamil- ton's Philosophy. Mill, Dissertations and Discussions. Mill, On Comte and Positivism. Morrell, Modern Philosophy. Newman, The Soul. Nomos. Notes on Beligious, Moral and Meta- physical Subjects. Aberdeen. 1828. Oswald, Appeal to Common Sense. Paley, Works. Parker (Theodore), Theism, Atheism and the Popular Theology. Pearson, On Infidelity. Plato, Works. Play fair, Dissertation on Mathe- matical and Physical Science. Powell, The Connection of Natural and Divine Truth. Powell, The Unity of Worlds. Powell, The Order of Nature. Price, Be view. Priestley, Disquisitions relating to Matter and Spirit. NOTE I. l 9 Priestley, Examination of Keid, Beattie and Oswald. Priestley, Letters to a Philosophical Unbeliever. Eagg, Creation's Testimony. Keid, Works. Edited by Sir W. Hamilton. Eussell, ' On the Absolute/ — Content. Rev., July, 1870. Scott, Inquiry into the Nature of Causation. 18 10. Smith, Gravenhurst. Stewart, Dissertation on Metaphy- sical Science. Stewart, Philosophy of the Human Mind. Stirling, Secret of Hegel. Tappan on the Will. Taylor, Man Eesponsible. Tennemann, History of Philosophy. Thomson, Outlines of the Laws of Thought. Travis, Moral Freedom reconciled with Causation. Tucker, Freewill, Foreknowledge and Fate. Tyndall, Mountaineering in 1861. Tyndall, Fragments of Science. 20 APPENDIX TO CHAP. I. Tyndall, The Constitution of the Universe. (Fort. Bev., Dec. 1865.) Verity, Subject and Object. Voltaire, Works. Whately, Elements of Logic. Whewell, History of Scientific Ideas. Whewell, Novum Organum Reno- vatum. Whewell, Philosophy of Discovery. NOTE II. (Referred to in § 2.) i. Mr. Gillespie's words are these : — ' For intelligence either began to ' be, or it never began to be. ' That it never began to be, is ' evident in this, that if it began to ' be, it must have a cause ; for, what- 6 ever begins to be must have a cause. ' And the cause of Intelligence must ' be of Intelligence ; for, what is not ' of Intelligence cannot make Intelli- i gence begin to be,' &c. &c. — Div. ii., part i. NOTE II. 2 1 2. On this I remarked : — ' And this Mr. Gillespie calls a • demonstration ! Why, the two ' sentences which he has italicised ' are very far from being necessarily • true. On the former of them, es- 1 peeially, volumes of controversy 1 have been written ; and Mr. Gil- • lespie simply takes it for granted ! ' — Exam, of Gillespie, p. 13. 3. Mr. Gillespie's rejoinder is couched in the following words : — 1 Concerning this axiom'' T. S. B. • declares it is very far from being • necessarily true. Again, . . ; volumes of controversy have been ' written upon it. says T. S. B. ; k while the truth is, the axiom in •' question was at no time the sub- • ject of controversy at all. Not a ' single volume, not a single page T, 1 not a single line ! T, was ever 1 written on the topic. The axiom 1 is so indubitable that no one ever * ' Whatever begins to be ruust Lave a cause.' 22 APPENDIX TO CHAP. I. ' thought of calling it in question. ' Not even the greatest sceptic did ' so, and T. S. B. is challenged to ' name the author who ever at- ' tempted to throw doubt upon the ' axiomatic character of the position 'in hand/ — National Reformer, Oct. 10, 1869. 4. Mr. Gillespie's challenge is one that can be very easily accepted ; and, since he will be satisfied with the name of one author who declines to accept his 'axiom' as a necessary truth, I need do no more than men- tion the name of Mr. Lewes.* * See Biog. Hist, of Phil., Chap, on Kant's Fund. Principles. — Knight's Pocket Edition, 1846, vol. iv. p. 131 ^Library Edition, 1857, P-558- GHAPTEE II. HISTORICAL EPITOME. CHAPTER II. HISTORICAL EPITOME. v i. ' There are/ wrote David Hume,* 'no ideas which occur in 6 metaphysics more obscure and 1 uncertain than those of power, 1 force, energy, or necessary connec- 1 tion ; of which it is every moment 1 necessary for us to treat in all our ' disquisitions/ If this was true then, how much more true is it * An Inquiry concerning Human Under- standing, sect. vii. l6 CHAPTER II. now ! Since Hume put forth to the world his own peculiar views on the subject, the topic has been perpe- tually in a state of controversy and unsettlement. It is one of the principal vexatce qucestiones of modern metaphysics, and makes its appear- ance, now in a treatise of logic, and now in a work on practical science. There is no ignoring it. Every r writer on philosophy is obliged to mention it ; and if he does not put forward an original view of his own, he is forced to follow in the foot- steps of some predecessor. Eeid, Beattie, Brown, Stewart, Whewell, Hamilton, Mill, Bain, Lewes, Baden Powell, and others too numerous to mention, have treated of the question and taken sides. 2. We need not stop to inquire whether Hume or Glanviil or HISTORICAL EPITOME. 27 Hobbes or Malebranclie was the first thinker on the subject. It may roughly be considered that the controversy has more or less oc- cupied the minds of thinkers since the revival of letters and the rise of positive science, i.e. since the time of Bacon and Hobbes. A coinci- dence may here be mentioned en passant, namely, that the commence- ment of the controversy on Caus- ation is contemporaneous with that of the question, Philosophical Neces- sity v. Freewill. The Schoolmen and the Ancients had debated on both Causation and Necessity, but for all that they cannot be classed with moderns in these discussions. Their mode of thought is essentially at variance with ours. They talk of fate and chance ; but of what use are their thoughts on these ideas to c 2 28 CHAPTER II. modern necessitarians ? None what- ever. They argued too on causes ; but of very little use are their argu- ments to us. In short, we can no more class the Schoolmen and the Ancients with ourselves, when speak- ing of these things, than we can class Astrologers with Astronomers, or Alchymists with Chemists. We have in fact to begin entirely afresh. And to be more particular, we have to commence with Hume. 3. Hobbes, Glanvill, Malebranche, and others, had, no doubt, to a cer- tain extent, preceded Hume;* but it is the last-named writer to whom we are indebted for general attention being drawn to the subject; and " Hume's Theory of Causation " is the name by which certain pro- * See Note iii. HISTORICAL EPITOME. 29 positions are now known. Whether they occurred to him spontaneously, or whether they were suggested to him by the writings of the aforesaid philosophers, is not ascertained; but one fact is certain, and that is, that it was to Hume's publication of the ideas in as paradoxical and startling a form as possible that drew atten- tion to them. 4. What is known as Hume's Theory, says Mr. Lewes, # ' may 1 be thus briefly stated. All our ' experience of causation is simply ' that of a constant succession. An ' antecedent followed by a sequent ' — one event followed by another : 1 this is all that we experience. ' We attribute indeed to the ante- ' cedent a power of producing or * History of Philosophy, vol. ii. p. 317. JO. CHAPTER II. ' causing the sequent ; but we can ' have no experience of such power. ' If we believe that the fire which ' has burned us will burn us again, ' we believe this from habit or ' custom ; not from having per- ' ceived any power in the fire. We ' believe the future will resemble ' the past, because custom has ' taught us to rely upon such a 4 resemblance. ""When we look about 'us towards external objects, and ' consider the operation of causes, ' we are never able in a single ' instance to discover any power or ' necessary connection— any quality i which binds the effect to the cause, ' and renders the one an infallible ' consequence to the other. We ' only find that the one does actually 'in fact follow the other. The ' impulse of one billiard-ball is HISTORICAL EPITOME. 3 I 1 attended with motion in the second. ' This is the whole that appears to ' the outward senses. The mind ' feels no sentiment or inward im- ' pression from this succession of ' objects; consequently there is not, ' in any single instance of cause ' and effect, anything which can ' suggest the idea of power or neces- ' sary connection."* This is the ' whole of his theory. His expla- ' nation of our belief in power, or ' necessary connection, is that it is ' a matter of habit. t . . . ' This theory of causation has ' been hotly debated. . . . ' When Hume asserts that expe- ' rience gives no intimation of any ' connection between two events, but ' only of their invariable conjunction * Hume : Inquiry, sect. vii. f See Note iv. J 2 CHAPTER II. ' — when he says that the mind J cannot perceive a causal nexus, but c only an invariableness of ante- ' cedence and sequence, he is con- ' tradicted, or seems to be, by ' the consciousness of his readers. ' They declare that, over and above i the fact of sequence, there is 1 always an intimation of power ' given in every causation, and ' this it is which distinguishes ' causal from casual sequence — ' connection from mere conjunc- ' tion. The fire burns paper be- ' cause there is some power in the ' fire to effect this change. Mere 6 antecedence, even if invariable, ' cannot be sufficient, or else day ' would be the cause of night, the ' flash of lightning would be the * cause of the thunder-peal. Swal- ( lows fly close to the earth some HISTORICAL EPITOME. 33 6 little while before the rain falls, but ' no one supposes the flight of the ' swallows causes the fall of the ' rain. In every case of causation ' there must be an element of ' power — a capacity of producing ' the observed change — a nexus of 6 some kind, over and above the ' mere juxtaposition of bodies. If ' diamond will cut glass, it has a ' power to do so ; the sharpest 1 knife is without this power. ' So reason Hume's antagonists.' 5. The question at this point re- solves itself into one of definition. What do we mean by the terms causation, causing, cause ? Keid, Beattie, Kant, and Mr. Lewes* maintain that by causing we mean producing. To this, however, Hume * See Notes v. and vi. c 3 34 CHAPTER II. has an answer ready. ' Should any ' one pretend to define a cause by ' saying it is something productive ' of another, 'tis evident he would ' say nothing. For what does he ' mean by production ? Can he give ' any definition of it that will not ' be the same with that of causation? ■ If he can, I desire it may be pro- ' duced. If he cannot, he here runs ' in a circle, and gives a synonymous 6 term instead of a definition.' And again, — ' I begin with observing that ' the terms of efficacy, agency, power, ' force, energy, necessity, connexion, 6 and productive quality, are all nearly ' synonymous ; and therefore 'tis 1 an absurdity to employ any of ' them in defining the rest.'* And in accordance with this Hume * Treatise of Human Nature, b. i. part iii. sect. 2 ; and sect. 14. HISTORICAL EPITOME. 35 eliminates from his definition every synonymous term, and maintains that by a cause of a phenomenon, we merely mean an event which is invariably followed by the phe- nomenon. 6. This is again denied by Hume's opponents. They return to their former position, that by causation we mean something more than mere invariable succession. Eeid and Beattie confess themselves unable to refute their antagonist in a philo- sophical manner, and take refuge in common sense, declaring that Hume's arguments are sophistical and to be placed by the side of Berkeley's, which ' admit of no answer and produce no convic- tion.'* These writers were the # Hume : Essays, vol. ii. note x. 36 CHAPTER II. first antagonists of Hume, and they were, at the same time, the most thorough-going in their opposition of all dissentients. They maintained that his definition was incomplete ; and that over and above the fact of invariable sequence, there is power in every cause to produce its effects. They combated the idea that we have no grounds for believing in necessary connection. They could not deny that they perceived nothing of such a connection ; but they at- tributed their supposed knowledge thereof to intuition. 7. Dr. "Whewell seems to agree mainly with Eeid and Beattie on this subject. The following extract from his Philosophy of the Inductive Sciences is, I think, confirmatory of it : — ' David Hume asserted, that 6 we are incapable of seeing in any HISTORICAL EPITOME. 37 ' of the appearances which the ' world presents anything of neces- ' sary connection ; and hence he ' inferred that our knowledge can- ' not extend to any such connection. ' . . . We assent to his remark as ' to the fact, but we differ from him ' altogether in the consequence to ' be drawn from it. Our inference * from Hume's observation is, not ' the truth of his conclusion, but ' the falsehood of his premises ; — ' not that, therefore, we can know ' nothing of natural connection, but ' that, therefore, we have some ' other source of knowledge than ' experience/* 8. Kant opposes Hume on grounds not materially different from those of Reid, Beattie, and Whewell. They * Hist, of Scient. Ideas, vol. i. b. i. ch. vi. art. 1. 38 CHAPTER II. admit with Kant the facts of per- ception in the case ; and agree with him that, nevertheless, there is a necessary connection between causes and effects ; and agree with him, also, that this supposed knowledge is not derived from experience but from another source. His difference from them is, in the main, one of terminology." 9. Brown and Stewart come nearer to Hume's doctrine. They go so far as even to admit the soundness of his definition ; but they contend that, on the other hand, we have an intuitive belief in the universality of causation. This compromise, how- ever, is untenable. If by cause we mean nothing but a certain suc- cession of events, 'what/ asks Dr. * See Note xv. HISTOKICAL EPITOME. 39 Whewell, ' is the meaning of the ' maxim . . . that every event must ' have a cause ? Let us put this ' maxim into the language of the ' explanation, and it becomes this : ' Every event must have a certain ' other event invariably preceding 6 it ' # — a proposition relatively un- important. 10. Mr. Lewes' s reply to Hume I have quoted at length in the Appendix. t 1 1 . The above may be considered as a very meagre statement of the controversy between the two schools the most opposed to each other. But there are several other solutions of the problem, which may be re- garded as intermediate, and more or * Hist, of Sclent. Ideas, b. iii. cli. ii. art. 4. f See Note vi. 40 CHAPTER II. less at variance with either extreme. For example : — 12. Mr. Mill recognises as just the criticism of those who contend that were causation simply sequence then day would be cause of night and night of day ; and has accord- ingly modified Hume's definition by the introduction of the word ' unconditional. ' Causation is with him unconditional invariable succes- sion.* 13. Sir William Hamilton re- solves causation into a corollary from the indestructibility and per- manence of matter.t 14. Professor Bain adopts Mr. Mill's definition, and at the same time gives a rendering of the relation not unlike Sir William Hamilton's. * See Note vii. f See Note viii. HISTORICAL EPITOME. 4 1 The conservation of force is closely allied, in his opinion, with the modus operandi of causation.* 15. The late Professor Powell divided causes into two distinct classes. Volition he called a moral cause; and all others, physical causes. Moral causes he viewed as Eeid and Beattie regarded all causes indis- criminately, namely, as efficient and bound by a necessary connection to their effects.! Physical causes, on the other hand, he considered in accordance with Hume's theory. 16. Mr. Atkinson protests against the separation of causes into two classes ;\ but at the same time seems to regard all causes as equally efficient^ 1 7 . Brown, Comte, and apparently * See Note ix. f See Note x. J See Note xi. § See Note xii. 42 CHAPTER II. Mr. Mansel,* do not dispute the assertion that all we perceive is se- quence ; but they regard the ques- tion, what causation really is, as one transcending the limits of human knowledge. 1 8. DUGALD STEWART,t MALE- branche, and Berkeley, are of opinion, that the connection between causes and effects is arbitrary, and depending entirely on the will of the Deity. In some places, Leibnitz seems to entertain the same view ; in others he appears to argue as if there were a per se connection. 19. The above rapid survey of the controversy shows the great differences of opinion that exist on the subject, J and the need there is of a disentanglement of the whole * See Note v. f See Note xiii. J See Note xi^. HISTORICAL EPITOME. 43 question, if it can be performed. In the next chapter is stated what I conceive to be the true solution of the problem. APPENDIX TO CHAPTER II. NOTES III. TO XV. APPENDIX TO CHAPTER II. NOTE III. (Referred to in § 3.) HUME'S PREDECESSORS. 1 . In Note C to his ' Elements of the Philosophy of the Human Mind,' Stewart gives the following extracts from Dr. Barrow, Butler, and Hobbes : — 2. ' If we except the mutual caus- ' ality and dependence of the terms \ of a mathematical demonstration, ' I do not think that there is any ' other causality in the nature of ' things, wherein a necessary conse- ' quence can be founded. Logicians ' do indeed boast of I do not know 48 APPENDIX TO CHAP. II. ' what kind of demonstrations from ' external causes either efficient or ' final, but without being able to ' shew one genuine example of any ' such ; nay, I imagine it is impos- ' sible for them so to do. For there ' can be no such connection of an ' external efficient cause with its ' effect through which, strictly speak- * ing, the effect is necessarily sup- 6 posed by the supposition of the ' efficient cause, or any determinate ' cause by the supposition of the ' effect. . . . Therefore there can ' be no argumentation from an effi- ' cient cause to the effect, or from 6 an effect to the cause which is ' lawfully necessary.' — Barrow : Mathematical Lectures. 3. ' It is in general no more than ' effects that the most knowing are 6 acquainted with : for as to causes ' they are as entirely in the dark as ' the most ignorant.' — Butler : Sermons. 4. ' What we call experience is ' nothing else but remembrance of NOTE III. 49 ' what antecedents have been fol- ' lowed by what consequents. . . . ' No man can have in his mind a 1 conception of the future ; for the 1 future is not yet ; but of our con- 1 ceptions of the past we make a ' future, or rather call past, future ' relatively. . . . When a man hath 6 so often observed like antecedents 1 to be followed by like consequents, ' that whensoever he seeth the ante- ' cedent, he looketh again for the ' consequent, or when he seeth the ' consequent, maketh account there ' hath been the like antecedents, ' then he calleth both the antece- ' dent and the consequent signs of ' one another.' — Hobbes : Tripos. 5. Mr. Lewes* gives the follow- ing extract from Glanvill's ' Scepsis Scientifica ' : — ' All knowledge of causes is de- ' ductive ; for we know of none by 1 simple intuition, but through the ' mediation of their effects. So that Hist, of Phil, vol. ii. p. 317. $0 APPENDIX TO CHAP. II. ' we cannot conclude anything to be ' the cause of another but from its ' continually accompanying it ; for ' the causality itself is insensible.' 6. Berkeley, also, approaches very near to Hume. Notice the following passages : — 7. ' The principles whereof a ' thing is compounded, the instru- ' ment used in its production, and ' the end for which it was intended, ' are all in vulgar use termed causes, ' though none of them be strictly ' speaking agent or efficient. There ' is not any proof that an extended ' corporeal or mechanical cause doth ' really and properly act, even mo- ' tion itself being in truth a passion.' —Siris, § 155. 8. ' Certainly, if the explaining ' a phenomenon be to assign its ' proper efficient and final cause, it 6 should seem the mechanical philo- ' sophers never explained anything.' — lb. § 231. 9. ' We are not therefore seriously ' to suppose with certain mechanical NOTE III. 51 ' philosophers, that the minute par- ' tides of bodies have real forces or ' powers by which they act on each ' other, to produce the various phee- 1 nomena in nature.' — lb. § 235. 10. ' The mechanical philosopher ' inquires properly concerning the ' rules and modes of operation alone, ' and not concerning the cause, for- ' asmuch as nothing mechanical is 6 or really can be a cause.' — lb. § 2 49- 11. Notwithstanding the above extracts in which Berkeley seems to side with Hume, the agreement be- tween these two thinkers does not extend much further; for Berkeley affirms that there is efficient causa- tion somewhere, though not in phenomena themselves. To wit, in the will of the Deity. 1 2. Locke, also (Ave must not omit to mention), has a few sentences in his Essay, bearing a remarkable similarity, in some respects, to Hume's doctrine. ' In the com- 6 munication of motion by impulse,' d 2 52 APPENDIX TO CHAP. II. he says, ' wherein as much motion ' is lost to one body as is got to the * other, which is the ordinariest case, •' we can have no other conception ' but of the passing of motion out ' of one body into another ; which, ' I think, is as obscure and uncon- ' ceivable, as how our minds move ' or stop our bodies by thought ; ' which we every moment find they ' do. The increase of motion by ' impulse, which is observed or be- ' lievecl sometimes to happen, is yet ' harder to be understood. We have ' by daily experience clear evidence ' of motion produced both by im- ' pulse and by thought : but the ' manner how, hardly comes within c our comprehension ; we are equally ' at a loss in both. ,# But Locke's views coincide with Hume's only a little way : for in the same paragraph we find the following Berkeleian sen- timent : — ' Pure spirit, viz. God, is ' only active ; pure matter is only ' passive.' * Essay con. Hum. TJnd n b. ii. ch. 23, § 28. NOTE IV. 53 NOTE IV. (Referred to in § 4.) HUME'S THEORY. 1 . There prevails in some quarters a curious difference of opinion con- cerning what Hume's view really was. This disagreement is owing, in a great measure, to the fact, very often forgotten, that during his life- time Hume put forth two separate theories, which do not coincide in all points. The first was publishe'd in the ' Treatise of Human Nature ' ; the last in the ' Inquiry concerning Human Understanding/ in the se- cond volume of the ' Essays and Treatises/ 2. This variation between the two editions, so to speak, of Hume's doctrine, has naturally led to con- fusion. His earliest opponents — Beattie particularly — quoted exclu- sively from the ' Treatise ' ; and modern writers, when they take 54 APPENDIX TO CHAP. II. their opinions of Hume second- hand, do the same. Modern writers, on the other hand, who go to Hume direct, generally quote from the ' Essays' — the ' Treatise' being more difficult to procure. 3. It was the theory as developed in the ' Treatise/ which drew so much attention to the subject, be- ing written (evidently for that pur- pose) in as paradoxical and startling a manner as possible. Thus on reaching the acme of his theory, Hume says : — ' I am sensible, that ' of all the paradoxes, which I have ' had, or shall hereafter have occa- ' sion to advance in the course of ' this Treatise, the present one is ' the most violent.''" But in the ' Inquiry ' he takes an opposite tone, and goes to the other extreme of making his theory as mild as possible. He seems here afraid of saying anything to excite opposition; and, just when his conclusions are expected, he abruptly ends the es- * Treatise, b. i. part iii. sect. 14. NOTE IV. 55 say with : — ' I am afraid, that should ' I multiply words about it, or throw ' it into a greater variety of lights, ' it would only become more obscure 1 and intricate. ' # 4. It will be rightly gathered from the above that the difference between the two theories lies in the Treatise- doctrine being larger than, and in- cluding, the Essays-doctrine. In fact, the earlier work includes all the reasonings and conclusions of the later edition, with the addition of certain final inferences. It will therefore be best to exhibit first the theory as propounded in the ' In- quiry/ and then add the final inferences which were drawn in the ' Treatise.' 5. The Essays-theory, then, is as follows : — ' All that w r e mean when ' we ascribe to one substance a sus- ' ceptibility of being affected by ' another substance, is that a cer- ' tain change will uniformly take 6 place in it when that other is pre- * Inquiry, sect. vii. part ii. 56 APPENDIX TO CHAP. II. 6 sent;— all that we mean, in like ' manner, when we ascribe to one ' substance a power of affecting ' another substance, is, that, where ' it is present, a certain change will ' uniformly take place in that other V substance. Power, in short, is ' significant not of anything dif- 6 ferent from the [invariable] ante- ' cedent itself, but of the mere ' invariableness of the order of its ' appearance in reference to some ' invariable consequent, — the [in- ' variable] antecedent being deno- ' minated a cause ; the invariable ' consequent an effect.'"" 6. The above extract is from Dr. Brown, and pithily expresses the doctrine in Hume's ' Inquiry,' if we omit the word ' invariable ' in the two places I have indicated by brackets. Hume defined an effect as an invariable consequent, but not cause as an invariable antece- dent. As Professor Bain points out, a severe blow on the head always * Brown : Phil, of Hum. Mind, Lect. vi. NOTE IV. 57 causes death ; but death is not always caused by a blow on the head.* 7. The doctrine in the ' Treatise ' embraces the above interpretation of causation, with the addition of the following conclusion : — ' The. ' efficacy or energy of causes is 1 neither placed in the causes them- ' selves, nor in the Deity, nor in the 6 concurrence of these two princi- ' pies ; but belongs entirely to the 1 soul, which considers the union of ' two or more objects in all past ' instances. 'Tis here that the real 6 power of causes is placed, along ' with their connexion and neces- ' sity.'f 8. Thus, in the ' Treatise ' and in the ' Inquiry ' Hume equally asserts that all we know of causation is se- quence. But in the former he adds that there is no such thing as caus- ation beyond the subjective idea, wiiilst in the latter he altogether omits such an inference, leaving the * Logic, b. iii. chap. iv. art. 2. f Treatise, b. i. part iii. sect. 14. d3 5 8 APPENDIX TO CHAP. II. per se or objective nature of causation as a topic on which he does not venture to dogmatise. In other words, he does not deny, in the ' Inquiry,' the possibility of a ne- cessary connection ; he merely says we have no grounds for believing in it. There is a distinct difference between this doubt, and the denial of the ' Treatise ' ; the same differ- ence that there is between the dis- missal of a case for want of sufficient evidence on either side, and the ver- dict — ' Not-Guilty ; and the Accused leaves the Court without the slight- est stain on his character.' 9. This difference between Hume's two views has, there can be no doubt, caused most of the difference of opi- nion which has prevailed concern- ing the merits of his doctrine. As might have been expected, his most vehement opponents (Beattie, e.g.) generally quote from the ' Treatise ' ; whilst those who see nothing par- ticularly extraordinary in his views, make reference to the ' Essays.' 10. The following extract from Lord Brougham's Life of Hume, is NOTE IV. 59 true, if reference is to the ' Treatise,' but untrue, if it refers to the ' In- quiry ' : — ii. ' That we only know the con- ' nection between events by their ' succession one to another in point ' of time, and that what we term 6 causation, the relation of cause and ' effect, is really only the constant ' precedence'" of one event, act, or ' thing to another, is now admitted ' by all reasoners ; and we owe to ' Mr. Hume the discovery, it may ' be well called, of this important * truth. But he will not stop here :t ' he must deny that there can be ' such a thing as one act, or event, ' or thing, causing another : he must ' hold that there can be no such ' thing as causation, no such thing ' as power ; he must discard from ■ our belief those ideas which all ' men in all ages, have held so clis- ' tinctly, and so universally, as to ' have given them names, specific * The same mistake as Brown's. See ante, § 6. f In the ' Essays J he does stop there. 60 APPENDIX TO CHAP. II. ' appellations in all languages. He ' denies all connection, all influence, ' all power, and holds it impossible ' that any such things should be — ' that any rational meaning should ' belong to such words.'* NOTE V. (Referred to in §§ 5 and 17.) A curious circumstance is con- nected with the controversy on cau- sality, viz. the remarkable grouping of opinions. Those thinkers who generally are poles asunder, are hand-in-hand upon this subject ; and those who on other topics are associated, are here opposed. We shall constantly find this manifested throughout the present inquiry. * Brougham: Men of Letters, 3rd ed. p. 172. NOTE VI. 6 I NOTE VI. (Referred to in §§ 5 and 10.) ME. LEWES ON HUME. 1. After the statement of the theory which I have quoted in § 4, Mr. Lewes proceeds : — 2. ' So reason Hume's antago- ' nists. Nor do I think they are * finally answered by resolving the ' idea of power into mere invariable - ' ness of antecedent and sequent ; ' for they may reply that the in- ' variableness itself is deduced from ' the idea of power : we believe the 6 fire will invariably burn the paper ' because it has the power to do so, ' because there is a real nexus be- ' tween fire and the combustion of 1 paper ; only on such a belief can ' our expectation of the future re- ' sembling the past be securely ' founded. 3. ' The ordinary belief of man- ' kind in the existence of something 62 APPENDIX TO CHAP. II. ' more than mere antecedence and ' consequence is therefore a fact. ' This fact Hume and others admit. ' Because they cannot perceive the ' power, they declare that we have ' no right to believe in it. Hume ' insists upon the impossibility of ' our perceiving power — of our per- ' ceiving any necessary connection 1 between two events. But, say * those who oppose this theory, — ' Although we cannot perceive the ' power, we are forced to believe in ' it ; and this belief is not a matter ' of custom, but is given in the very ' facts of consciousness. We per- 1 ceive that some power is at work ' producing effects ; the precise na- ' tare of this power, indeed, we ' cannot perceive, because we never 6 can know things per se. . . . 4. ' As it is a fact that all men ' believe in some power involved in ' every causal act' [I think Mr. Lewes is mistaken here. Hume, in his ' Treatise/ maintained the opposite of such a belief. — T. S. B.], ' we have ' to ask, Is that belief well founded ? 5. ' Two schools at once present NOTE VI. 63 ' themselves. The one (that of 1 Hume) declares that the belief has ' no good grounds ; it is a matter of ' custom. If I believe the sun will 1 rise to-morrow, it is because it has * always risen If I believe that fire ' will burn in future, it is because it ' has always burned. From habit I 1 expect the future will resemble the ' past : I have no proof of it. 6. ' The other school declares ' that this belief in causation is an ' intuitive conviction that the future ' will resemble the past.' [Dr. Bain, though scarcely belonging to this school, says what practically amounts to much the same thing. ' The uniformity of nature ' is, with him, a First Principle, admitting of no analysis.-— T. S. B.] < This is the ' language of Beid and Stewart. 1 Dr. Whewell would have us admit ' the belief as a fundamental idea — ' a necessary truth independent of ' and superior to all experience. 7. ' Both explanations are ques- * Bain: Logic, b. ii. ch. v. art. 11 ; and append. D. 64 APPENDIX TO CHAP. II. ( tionable. Custom or habit can ' essentially have nothing whatever ' to do with it, because our belief is ' as strong from a single instance as ' from a thousand.' [But is it? I think this may be questioned. — T. S. B.] '"When many uniform ' instances appear/' says Hume, 6 " and the same object is always ' followed by the same event, we ' then begin to entertain the notion ' of cause and connection. We ■ then feel a new sentiment, to- ' wit, a customary connection in ' the thought between one object ' and its usual attendant : and this ' sentiment is the original of that ' idea which we seek for." This ' is manifestly wrong. A single ' instance of one billiard-ball moving ' another suffices to originate the ' "sentiment," without further repe- ' tition.' [But the first instance of one billiard-ball moving another, which any one witnesses, is not the first case he has noticed of one ob- ject moving another. Mr. Lewes's objection cannot hold ground unless he can prove that the very first in- NOTE VI. 65 stance of one object moving another, noticed by an infant, immediately suggests causation or power to its mind. — T. S. B.] 'Nor is there more truth in the assertion that the belief depends on conviction of the future resembling the past ; this explanation assumes that the gene- ral idea precedes the particular idea. When we believe that simi- lar effects will follow whenever the same causes are in operation — when we believe that fire will burn, or that the sun will rise to-morrow — we are simply believing in our experience, and nothing more. We cannot help believing in our ex- perience : that is irresistible : but in this belief, the idea of either past or future does not enter. I do not believe that fire will burn because I believe that the future will resemble the past ; but simply because my experience of fire is that it burns — that it has the power to burn. Take a simple illustration, trivial, if you will, but illustrative : — A child is presented with a bit of sugar : the sugar is 66 APPENDIX TO CHAP. II. white, of a certain shape, and is solid ; his experience of the sugar is confined to these properties : he puts it in his mouth ; it is sweet, pleasant : his experience is ex- tended ; the sugar he now believes (knows) to be sweet and pleasant, as well as white and solid. Thus far experience is not transcended. Some days later, another piece of sugar is given him. Is it now necessary for him to have any in- tuitive conviction that the future will resemble the past — any fun- damental idea independent of expe- rience — to make him believe that if he puts the sugar in his mouth it will taste sweet ? Not in the least : he believes it is sweet, be- cause he knows it is sweet — be- cause his experience of sugar is that it is sweet. By no effort could he divest himself of the idea of its sweetness, because sweetness forms an integral part of his idea of the sugar.' [I agree with Mr. Lewes that when the child receives the second piece of sugar, it is not necessary for him to have any ' in- NOTE VI. 67 tuitive '* conviction that the future will resemble the past, to make him believe that if he puts the sugar in his mouth it will taste sweet. But I think it is necessary for him to have a i fundamental idea/ depen- dent not solely on experience, namely, the idea, or impression, or habit of thinking, or faith (call it what you will) that nature is uniform as far as our mundane affairs are con- cerned. The child cannot possibly knoiv that the second lump will be sweet like the first. He believes it will be, for many reasons. First; — he sees that it is taken from the bason from which the former piece was taken, and concludes that it is the same sort of substance as the former. Secondly ; — hitherto his experience of things which he puts in his mouth, is that the taste is always the same, e.g. a piece of bread does not taste differently at different times, but always the same. Therefore he concludes that the * Meaning by c intuitive,' in this place, — 1 independent of all experience.' 68 APPENDIX TO CHAP. II. sugar will again taste sweet ; but he does not know that it will. A child seeing a chameleon for the first time would naturally conclude that its colour would be the same the next time he saw it ; but in this case the child's inference, as we know, might be contradicted on the next occasion of seeing the animal. — T. S. B.] ' So we may say of the ' sun's rising : it is part and parcel ' of our idea of the sun. So of one ' billiard-ball putting a second in ' motion ; our experience of billiard- ' balls is that they put each other ' in motion. 8. ' Custom has primarily nothing ' to do with the belief. If we had ' only one experience of fire — if • we saw it only once applied to a ■ combustible substance — we should - believe that it would burn, because ' our idea of fire would be the idea ' of a thing which burns. Custom ■ has, however, secondarily, some ' influence in correcting the ten- ' dency to attribute properties to ' things. Thus, a child sees a friend ' who gives him an apple. The NOTE VI. 69 1 next time the friend comes he is ' asked for an apple, because the ' idea of this friend is of a man 6 who, amongst other properties, ' has that of giving apples. No ' apple is given, and this idea is ' destroyed. Similarly, when all ' our experience of things is con- ' firmatory of our first experience, ' we may say that habit or custom 6 induces us to attribute certain ef- ' fects to certain causes. When our 6 subsequent experience contradicts ' our first experience, we cease to - attribute those effects to those 6 causes which we first experienced; 6 this is only saying that our subse- ' quent experience has destroyed or ' altered the idea we formed at ' first/* 9. ' While it will be admitted by c the one party that between two ' events, named respectively cause ' and effect, no nexus is perceived ' by us, over and above the mere ' fact of antecedence and sequence ; * Lewes : Hist, of Phil., vol. ii. pp, 319- 322. 70 APPENDIX TO CHAP. II. ' and that therefore Hume is right 6 in saying, we " only perceive this ' antecedence, and do not perceive '.the causal link"; on the other ' hand it must be maintained, that ' between those two events there is ' a specific relation, a something ' which makes the one succeed the ' other, causing this particular ef- ' feet rather than another ; and this ' subtle link it is which is the nexus ' contended for; this relation it is ' which distinguishes a causal act ' from one of accidental sequence. ' There must be a peculiar rela- ' tion existing between oxygen and 6 metals, otherwise metals never ' could be oxidised. The oxidation ' of iron is an effect like the ignition ' of paper ; but it is an effect pro- < ducible only through a specific ' relation or cause. If cause is a < Relation, the reason of our in- ' ability to perceive it as an isolated ' existence, is the inability to isolate ' a relation from its related terms. ' It is not an object that can be ' presented to consciousness. What- ' ever maybe the noumenal existence NOTE VI. 71 implied by the Kelation, our phe- nomenal knowledge must ever be limited to the mere recognition of related terms. To say that we cannot perceive this Eelation, and that antecedence and sequence are all that we can perceive, is only saying that we cannot penetrate beyond phenomena and their suc- cessions ; but this is no more a ground for the denial of a causal nexus, than it is for the denial of an external world. 10. ' All things necessarily stand related to all other things ; some- times these relations are obtruded on our notice, because they pass from relations of co-existence into relations of succession, and we name them causes and effects ; at other times they remain in the background of unremarked co- existences, and our unsolicited attention overlooks them; we do not then name them cause and effect. The carbonate of lime, which I see before me as marble, suggests to me, in its inaction, no 72 APPENDIX TO CHAP. II. ' conception of power, or causation, ' because my attention is not so- ' licited by any successive relations ; ' yet, if I had witnessed the action ' of the carbonic acid on the lime, ' which originally caused the two ' substances to unite and form ' marble, the passage from one state ' to another would have suggested ' the idea of some power at work. ' It is clear that there must be rela- * tions existing between the carbonic ' acid and the lime, which cause the ' two to remain united, as we see ' them in marble. We do not see ' these relations— we do not there- ' fore see the cause — but we know 6 the cause must be in operation all ' the while, although in consequence ' of no changes taking place, we are ' not solicited to observe the opera- ' tion. Hence it is that only suc- ' cessive phenomena are named 6 causal ; and hence it is that Hume ' was right in saying that, in a last ' analysis, invariableness of antece- ' dence and sequence is all that ' experience tells us of causation ; NOTE VII. 73 1 although he did not, I think, state ' this position clearly, nor discern ' its real basis.' * NOTE VII. (Referred to in § 1 2.) MR. MILL'S DEFINITION. i . ' When we define the cause of ' anything (in the only sense in * which the present inquiry has any ' concern with causes) to be the ' antecedent which it invariably ' follows, we do not use this phrase ' as exactly synonymous with " the ' antecedent which it has invariably 6 followed in our past experience.' ' ' Such a mode of conceiving causa- 1 tion would be liable to the objection ' very plausibly urged by Dr. Eeid, ' namely, that according to this 1 doctrine night must be the cause * of day, and day the cause of night; ' since these phenomena have in- * Lewes : Hist, of Phil., vol. ii. pp. 325-6. E 74 APPENDIX TO CHAP. II. variably succeeded one another from the beginning of the world. But it is necessary to our using the word cause, that we should believe not only that the antece- dent always has been followed by the consequent, but that as long as the present constitution of things endures, it always will be so. And this would not be true of day and night. We do not believe that night will be followed by day under all imaginable circumstances, but only that it will be so, provided the sun rises above the horizon. . . . If there be any meaning which confessedly belongs to the term necessity, it is unconditionalness. That which is necessary, that which must be, means that which will be, whatever supposition we may make in regard to all other things. The succession of day and night evidently is not neces- sary in this sense. It is condi- tional on the occurrence of other antecedents. . . . 2. ' Invariable sequence, there- fore, is not synonymous with NOTE VIII. 75 'causation, unless the sequence, 6 besides being invariable, is uncon- ' ditional. . . . 3. ' We may define, therefore, the c cause of a phenomenon to be the 1 antecedence, or the concurrence ' of antecedents, on which it is ' invariably and unconditionally con- ' sequent.'* NOTE VIII. (Referred to in § 13.) SIR W. HAMILTON'S THEORY. 1. ' "When we are aware of some- thing which begins to be, we are, by the necessity of our intelligence, constrained to believe that it has a cause. But what does the ex- pression, that it has a cause, signify? If we analyse our thought, we shall find that it simply means, that as we cannot conceive anv new ex- * Mill : System of Logic, b. iii. ch. v. § 5. E 2 76 APPENDIX TO CHAP. II. istence to commence, therefore, all that now is seen to arise under a new appearance, had previously an existence under a prior form. We are utterly unable to realise in thought the possibility of the com- plement of existence being either increased or diminished. We are unable, on the one hand, to con- ceive nothing becoming something, — or, on the other, something be- coming nothing. When God is said to create out of nothing, we construe this to thought by sup- posing that He evolves existence out of Himself ; we view the Creator as the cause of the universe. Ex nihilo nihil; in nihilum nil posse reverti expresses, in its purest form, the whole intellectual phenomenon of causality. 2. ' There is thus conceived an absolute tautology between the effect and its causes. We think the causes to contain all that is contained in the effect ; the effect to contain nothing which was not contained in the causes. Take an example. A neutral salt is an NOTE VIII. 77 ' effect of the conjunction of an acid ' and alkali. Here we do not, and ' here we cannot, conceive that, in 1 effect, any new existence has been ' added, nor can we conceive that 1 any has been taken away. . . . ' Omnia mutantur ; nihil interit — is ' what we think, what we must think. 1 This then is the mental phsenome- ' non of causality, — that we neces- ' sarily deny in thought that the 6 object which appears to begin to ' be, really so begins ; and that we 1 necessarily identify its present with ' its past existence/" 3. Again, — ' But can we think 1 that quantum of existence of which ' an object, real or ideal, is the ' complement, as non-existent, either ' in time past, or in time future ? ' Make the experiment. Try to ' think the object of your thought 6 as non-existent in the moment 6 before the present. You cannot. 6 Try it in the moment before that. * You cannot. Nor can you annihi- * Hamilton : Lectures, ii. pp. 3.77 8. 70 APPENDIX TO CHAP. II. ' late it by carrying it back to any 6 moment, however distant in the ' past. You may conceive the parts 6 of which this complement of ex- ' istence is composed, as separated ; ' if a material object, you can think ' it as shivered to atoms, sublimated ' into aether ; but not one iota of ' existence can you conceive as an- ' nihilated, which subsequently you ' thought to exist. In like manner 6 try the future, — try to conceive the ' prospective annihilation of any ' present object, — of any atom of ' any present object. You cannot. ' All this may be possible, but of it ' we cannot think the possibility. . . . 4. ' But in this application is the ' principle of causality not given ? ' Why, what is the law of causality ? ' Simply this, — that when an object ' is presented phenomenally as com- ' mencing, we cannot but suppose ' that the complement of existence, ' which it now contains, has pre- ' viously been ; — in other words, that ' all that we at present come to know ' as an effect must previously have ' existed in its causes ; though what NOTE VIIIc 79 ' these causes are we may perhaps ' be altogether unable even to sur- ' mise.'* 5. Of all explanations of causa- tion the above really appears the least satisfactory; but I can only add, in this place, that the reader will find in Mr. Mill's Examination of Hamilton an able answer to it. 6. In § 13 Hamilton's theory is described as a corollary from the permanence of matter. This is the objective side merely; the essence of this doctrine lies in the subjective side — what he calls an impotence of the mind. The two sides seem to me equally far from furnishing an explanation of causality — to say nothing of their questionableness as matters of fact. Curiously enough, Mr. Herbert Spencer holds Hamil- ton's opinion respecting the inde- structibility of matter. f This is another instance of what is mentioned in note v. * Hamilton : Lectures, ii. pp. 399 — 400. f First Principles, 2nd ed. p. 175. 8o APPENDIX TO CHAP. II. NOTE IX. (Eeferred to in § 14.) DR. BAIN'S RENDERING. 1. ' The greatest innovation [in ' part ii.] is the rendering of Cause ' by the new doctrine called the 1 Conservation, Persistence or Cor- ' relation of Force.' — Logic, Preface. 2. ' A great advance, in the mode ' of viewing causation, is made by ' the modern discovery of the law ' named Conservation of Force. ' The great generalization of re- 1 cent times, variously designated ' the Conservation [&c] of Force, is ' the highest expression of Cause 1 and Effect. In every instance of ' causation, there is a putting forth 6 of force in given circumstances, 6 and the law in question states with ' exactness what becomes of the 1 force, and is often the sufficing ' explanation of the special phe- ' nomena, as well as the embodi- NOTE IX. 8 1 ' ment of nature's uniformity in 1 successions. ' In the number and complicacy ' of causal conditions, we feel the * want of some principle of analysis ' or distribution under heads. Such ' analysis is provided in the Law of 1 Conservation ; according to it, we 1 view every cause under two aspects, ' (i) an embodiment oi moving power ' in given amount, and (2) a colloca- ' twn or arrangement of circum- ' stances, for the power to operate 1 in. These two being given, the ' law declares the result.' — Logic, b. iii. ch. iv. § 8. 3. ' Causation, viewed as Con- ' servation, is thus the transferring 6 or re-embodying of a definite ' amount of Force.' — lb. § 12. 4. ' The Law of Conservation ex- ' hausts Causation, viewed as the 6 transfer of Force or Moving Power, 6 but leaves many complicated, and, 6 as yet, unsolved questions of col- ' location.' — lb. § 13. 5. ' Sir William Hamilton is ' singular among metaphysicians, in e 3 8:2 APPENDIX TO CHAP. II. ' giving to the Law of Causation ' a form almost exactly co-incident 6 with the principle of Conservation, ' which he may be said to have ' anticipated/ — lb. § 17. NOTE X. (Referred to in § 15.) ME. POWELL'S DISTINCTION. 1. ' In common language, the ' term cause is used with considerable ' latitude of meaning ; and even in ' many discussions pretending to ' a philosophic character, a slight ' examination will show that it bears ' several distinct kinds of significa- ' tion. We are apt to use the same ' word, and thence imagine that ' we are speaking of the same thing, ' in cases which are essentially 6 different. . . . 2. ' We may say the cause of the ' motions of a watch is the tendency ' of the main- spring to unwind itself ; NOTE X. 83 and the cause of the flight of the cricket-ball is the voluntary effort of the player. These are two in- stances which would seem, at first sight, closely to resemble each other; but when accurately ex- amined, we find an important distinction between them. In the former instance, we trace the order of dependence of the motions from the index to the wheels, from the wheels to the fusee, and so up to the tendency of the spring to un- wind ; and this we refer to the property of elasticity ; which again may possibly depend on some still higher principle in the nature and arrangement of the particles of which elastic bodies are composed. But to whatever extent we may advance in thus analysing the effect up to its simplest elements, one thing is all along manifest; viz. that the very highest principle of any such series must essentially be some general, fixed, inherent, property of matter; by virtue of which it is capable of being in- fluenced in particular ways, and 84 APPENDIX TO CHAP. II. ' by particular agents ; but yet is ' wholly inert, and incapable of arbi- ' trarily originating any of the effects ' referred to. 3. ' In the second case, we may ' observe, it is true, a like series of ' effects in succession dependent one ' on another. Motion is communi- ' cated mechanically to the bail from ' the sudden action of the arm ; this ' results from the contraction of the ' muscles acting on the bones as ' levers ; the muscular contraction 1 again may be shown to depend ' on some peculiar influence of the ' nerves ; this again may possibly be ' traced to some higher principle ; ' we may advance, in short, as far ' as physiological science can carry ' us ; and thus far, this and the 1 former case are exactly alike. But ' here at the commencement of the ' whole train, there must still be an ' influence or cause of some kind 6 different from any mechanical ' power; depending on voluntary 6 agency ; capable of originating the ' series of consequences from itself; ' acting by different laws from those NOTE X. 85 1 of matter; in a word, an agency ' or influence of a moral kind. . . . 4. 6 Such a voluntary agency, ' such an influence or power, of 6 which we feel conscious, and which ' implies the action (however incom- ' prehensible) of mind on matter, is ' what we may properly distinguish 1 by the term moral causation. The 1 former case we may call, by way ' of contradistinction, an instance ' of physical causation. In the study 6 of causes acting in the natural ' world, we must carefully observe ' this distinction. Cases where ' voluntary or moral agency is con- ' cerned, can only be considered in .' physical inquiry so far as they ' properly come under the laws of ' inert matter, or belong to those ' kinds of physical action which ' are the subjects of dynamical or ' chemical research. To go beyond ' this is to confound physical causes ' with moral, physical science with 4 metaphysical.' — The Connexion of Natural and Divine Truth, sec. ii. pp. 78—82. 86 APPENDIX TO CHAP. II. NOTE XL (Referred to in § 16.) MR. ATKINSON'S VIEW. ' Men have been wandering amidst poesies, theologies andmetapkysics, and have been caught in the web of ideal creations, and have to be brought back again to particulars and material conditions ; to investi- gate the real world, and those laws of being and action which are the form and nature of things, and the phenomena which they present, as they are here, within us and about us in reality and in truth, and not as we would fancy them to be. There are not two philosophies, one for Mind and another for Matter. Nature is one, and to be studied as a whole. " There is nothing in nature,'' says Bacon, " but individual bodies, exhibiting clear individual effects, according to particular laws." Instinct, passion, NOTE XII. 87 1 thought, &c, are effects of organ - ' ised substances : but men Save ' sought to make out a philosophy ' of mind, by studying these effects ' apart from causes, and have even ' asserted that mind was entirely ' independent of body, and having * some unintelligible nature of its ' own, called free will, — not subject 6 to law, or dependent on material 6 conditions ; though a man has no ' more power to determine his own ' will than he has wings to fly/ — Mans Nature and Development, First Letter to Miss Martineau, pp. $—&. NOTE XII. (Referred to in § 16.) DISCUSSION ON LAW. 1 . The following extracts are from the National Reformer newspaper — a journal devoted to the advocacy of opinions very shocking to the respectable and higher classes : atheism, republicanism, and malthu- 88 APPENDIX TO CHAP. II. sianism. However, one thing at least may be granted in its favour : viz. the editor's impartial admittance into its columns of metaphysical articles at variance with his own views. 2. ' Will any metaphysician, either * on the spiritual or materialistic 6 side, define Power — (not as Hegel 6 does law or justice though — as ' annihilation of annihilation) ? ' — B. T. W. R,Nov.3, 1867. 3. ' Hume has long ago answered ' it [i.e. this question] for us. When ■ we examine into any instance of ' what we call cause and effect, and * try to discover wherein the Power ' consists, we find that we can dis- * cover nothing but sequence. . . . ' . . . Comte tells us to confine our- ' selves to phenomena, and not to ' waste our time in seeking the causes ' of things which are beyond the grasp ' of the human understanding. Comte ' was not right in everything he said ; 6 but this is one of the true principles ' of Science, which he, in common NOTE XII. 89 ' with other philosophers, has cor- ' rectly discerned/ — T. S. B., Nov. 10, 1867. 4. ' What is truth ? Iconoclast ' tells us that extension is only a ' quality of substance. Mr. Simon ' continues to assert that the sub- ' stance as well as the extension is ' but a quality of mind. Mr. Bray, * of Coventry, as well as Mr. Wyld, ' of Edinburgh, in elaborate and ' learned arguments declare that 1 there is no such thing as matter, 1 that both matter and mind are but ' conditions of force ; whilst T. S. B. ' now assures us that this supposed 1 force itself has no existence, and i he gives Hume and Comte as his ' authority for asserting that we have ' no reason for believing that any- ' thing exists beyond the sequence/ — H. G. Atkinson, Nov. 24, 1867. 5. — Yes. NOTE XIV. IO5 Malebranche Berkeley Stewart — Yes, — if you allow that God is [ the cause of every J change. Hume [in the~) 'Treatise'] } — No. Hamilton J Hume [in the^ ' Inquiry '] Brown Comte Mill Mansel —The subject is ^beyond the limits of our knowledge. Is Causation universal ? Beid Beattie Kant Brown Wheivell Mill J ► — Yes. Leives ] Mansel J — We have no means of knowing F 3 I06 APPENDIX TO CHAP. II. How is the idea of Causation in natural events produced in our minds ? Lewes. — By Experience. Beid ) — By Common Beattie } Sense. Hume. — By habit. Hamilton. — By the impossibility of conceiving something coming from nothing. Whewell } -^ I^ti°n. Maine de Biran ^ ^i yr-n, \ OViX OWI1 VOlU!2- Mansel J tar ? actionS ' Is the belief in the universality of Causation a necessary truth (i.e. an a priori judgment) ? NOTE XV. Beid Beattie Price Kant ^ > — Yes. Brown Wheiveli j Hohbes Buckle Mill Lewes j*— No. ) NOTE XV. (Kef erred to in § 8.) KANT'S DOCTRINE. 107 1 . Kant, ' could not contradict ' the objections of Hume, . . . ' but he rather availed himself of 6 them, suffered them to hold good, ' and took up, as perfectly well- ' grounded, the fundamental position ' of that sceptic, namely, that ex- ' perience teaches us nothing of io8 APPENDIX TO CHAP. II. ' causality and a necessary con- ' formity to law in nature. Of this ' position, however, he made a 1 wholly different and unexpected ' use, since he discovered therein * the negative confirmation of an ' ideal and subjective certainty. . . . ' Kant saw at once, that the most ' universal and highest conceptions ' must have an entirely different ' origin to the experience of the 6 senses; that they were in them- 6 selves, it is true, but empty forms, 6 yet universally necessary in all ' thinking and cognition ; and by ' this very criterion of universality ' and necessity, he believed that he ' had recognised them to be of a ' subjective character and resident ' a priori in the cognitive faculty of ' man/ — Chalybaus : Spec. Phil. (Tulk's trans.) Lect. ii. 2. ' According to Kant, causality ' is an inseparable condition of our ' experience : a connexion in events ' is requisite to our apprehending ' them as events. . . . We cannot '.fix the mind upon occurrences, NOTE XV. IO9 ' without including these occurrences ' in a series of causes and effects. ' The relation of causation is a ' condition under which we think of ' events, as relations of space are a ' condition under which we see ' objects/ — Whewell : Hist. Scien. Ideas, b. iii. ch. iii. art 3. 3. ' According to Kant we have ' the idea of cause, and also the i belief that every commencing phe- 4 nomenon implies the operation of * a cause. But these are merely forms * of our understanding, subjective 6 conditions of human thought. In ' conformity with a pre-existing law 1 of our intelligence, we arrange ' phenomena according to the rela- ' tion of cause and effect. But we ' know not whether, independently ' of our form of thought, there be ' any reality corresponding to our * idea of cause, or of productive ' power/ — Fleming : Vocab. Phil. sec. ed. p. 80 (art. on Causality). CHAPTER III. THE PROBLEM SOLVED. CHAPTEE III. THE PROBLEM SOLVED. i. After reading the conflicting opinions exhibited in the foregoing chapter, one feels inclined to throw up the whole inquiry in despair as a hopeless and inextricable puzzle. Or, at any rate, to ask whether the dispute really is concerning matters of fact — whether it be not, after all, merely an affair of definition. The word ' cause ' and its derivatives exist in the language — they convey ideas to the mind — and, in the I 14 CHAPTER III. affairs of common life, are under- stood by everybody ; — why, then (it may be asked), should metaphysi- cians by their subtleties create such unnecessary confusion ? Why should they throw obscurity over the mean- ings of terms which previously were clear and intelligible ? 2. This question is natural though superficial. Philosophers are quite willing to let words retain their popular significations, provided they are not obtruded into topics for which they are unfitted. There are many words harmless enough when confined within the limits of com- monplaces ; but let them be used in the discussion of subjects in the slightest degree speculative, and the most dire confusion is the result. 3. This is peculiarly the case with regard to the words 'cause/ &c. THE PROBLEM SOLVED. II5 Ordinarily they are sufficient for the ideas to be conveyed : employed about commonplaces they are never misunderstood. But when we see them occurring in speculations de- manding the utmost precision of language, where the least ambi- guity is fatal — when we find them employed, now to demonstrate the existence of a Deity — now to enforce the necessity of atheism ; when we see them used alike in arguments for freewill and in rea- sonings for fatalism — it is obvious that a closer scrutiny into the ideas they represent is rendered impera- tive. It may be that the popular notion of a cause is altogether in- applicable to these speculations. It may be that the use of the undefined word in such discussions is produc- tive of nothing but confusion and Il6 CHAPTER III. error. Our first step in this inquiry, then, will evidently be to ascertain the signification that the word ' cause ' bears in common parlance ; — the meaning which people have when they speak of one thing ■ causing ' another. 4. What says Dr. Johnson ? Ac- cording to him ' to cause ' is ' to effect, to produce' — and 6 a cause,' ' that which produces or effects any- thing/ Nine persons out of ten would give the same definitions, if suddenly asked. But properly they are not definitions at all — merely synonymes. To ' cause ' and to * produce ' or ' effect ' are convertible terms, and to give one as an explana- tion of the other is, to use Hume's phrase, 'to run in a circle.'* 5. Is Hume's definition of ' in- * See ante, p. 34 . THE PROBLEM SOLVED. I 1 7 variable sequence ' a better one ? No ; for two reasons. First, as Eeid pointed out, many invariable successions are not causation. And secondly, some cases of causation do not involve sequence at all; cause and effect often appearing to be simultaneous or contemporaneous. 6. Mr. Mill allows both these objections to Hume's definition, and seeks an amendment by, on the one hand, introducing the word uncon- ditional," and, on the other, by dropping the words antecedent and consequent. 'I have no objection,' he says, ' to define a cause, the assemblage of phenomena, which occurring, some other phenomenon invariably [and unconditionally] commences, or has its origin.' f System of Logic, b.iii. chap. v. § 5. f lb. § 6. I I 8 CHAPTER III. Now, this is more a description of certain facts relating to causality than a definition. Every assem- blage of phenomena which occurring, some other phenomenon invariably and unconditionally commences, may as a matter-of-fact be a cause. As a matter-of-fact every one-horned quadruped may be a rhinoceros ; but no one would think of giving ' a one-horned quadruped ' as a defini- tion of that animal. 7. Such is the objection to Mr. Mill's definition when criticised literally, or according to the bare meaning of its terms. But if judged in regard to what is implied (or rather, what would be tacitly added by the generality of persons), the objection would be the same as that to Johnson's definition. The word occurring may be interpreted as THE PROBLEM SOLVED. I I 9 merely a participle of time (e.g. 'when it may happen to occur ') : this is the bare or literal meaning. Or it may be interpreted with the implied addition of the causal-idea, which is the very notion to be defined : e.g. 6 the storm occurring, the people grew frightened ' implies the pro- duction of one event by the other, in addition to their relation in time. And thus we return to the synonymes from which we started. 8. Is there no escape from this metaphysical whirlpool of synony- mous terms ? Must we always be swept back into it ? The words which Hume gives as convertible, or nearly so, with causality are — efficacy, agency, power, force, energy, necessity, connection, and productive quality. All of these, except ' neces- sity ' and ' connection,' we can pass 120 CHAPTER III. by ; for they imply some power of a cause over an effect — exactly what we are wishing to analyse. ' Con- nection ' we can also pass by — being simply relation — a notion too wide for our purpose. The remaining word, namely, 'necessity/ may per- haps be the key to the difficulty. 9. It is admitted now by all that, whether there be or be not an objec- tive necessity connecting causes and effects, it is at all events perfectly imperceptible. Between events no necessary connection can be per- ceived. Yet, nevertheless, the pre- vailing belief is, that there is such a necessity in every case of causation. Over and above the idea that an effect unconditionally and invariably accompanies its cause is the notion that it must do so — that it is THE PROBLEM SOLVED. 121 obliged to do so. Whenever their connection is thought to be con- tingent, events are not called cause and effect ; their conjunction is then styled ' merely a coincidence.' Hence the idea of necessity is an essential portion — a sine qua non- — of the causal notion. 10. Now, as necessity cannot be perceived in phenomena, it is plain that the idea cannot have originated from the contemplation of physical events. Every one must have an idea of ' must ' altogether apart from phenomena before he can attribute it to them. The idea is an intellec- tual one ; and the more civilised (i.e. educated) a nation, the stronger is its grasp on the notion. Some savage races seem scarcely to possess the idea at all ; to them everything G 122 CHAPTER III. appears the result of chance. * They have not had the primary mental idea of necessity developed, and con- sequently have it not to attribute to external events. 1 1 . This primary mental idea of necessity which must be developed before the notion of causality can arise, is what is called by meta- physicians ' logical necessity.' It is a perception of what Professor Bain calls the 'Law of Consistency.'! It is seen that certain things must accompany certain other things ; otherwise there would be involved an inconsistency or contradiction. There cannot be hills without valleys ; if the premisses of a syl- logism are true, the conclusion must also be true ; two straight lines can- * See Note xvi. f See Note xvii. THE PROBLEM SOLVED. I 23 not enclose a space ; and so on. With the perception of the absolute- ness and unconditionalness of such truths, dawns on the mind the idea of necessity, the notion of a ' must.' This once possessed, its transference to phenomena is easy. 1 2. The problem for us is to find what truth there is in the prevalent belief concerning causation : are we justified in transferring the attribute of necessity from axioms and demon- strated propositions to the relation between natural events ? Hume, in his Treatise of Human Nature, as we have seen, maintained that we are not ; that we believe in necessary connection by an illogical process of inference ; that, in fine, we are so used to witness certain combinations of phenomena that habit induces the conviction of certainty. g 2 124 CHAPTER III. 13. There is much truth in this theory ; and, consequently, it has numerous supporters. We shall presently see, however, that it is only a half-truth. It gives, as it were, one side of the medal; but there is another side which needs to be supplied before the whole of the truth can be seen. Of that anon. In the meanwhile the importance of Hume's half-truth must be insisted on. 14. If we divest ourselves of our acquired knowledge and beliefs, and imagine ourselves observing for the first time any succession or correla- tion of events, we shall see that there is nothing in them or their conjunction to tell us of power or necessity. It is only by witnessing the same combination of phenomena several times, that we get the idea THE PROBLEM SOLVED. 1 25 of invariability, and thence that of necessity. 15. For example, the phenomena of gravitation are so common and we are so used to them that we attribute a necessity to them. But if we had never before seen a body fall, there would be nothing in the descent of the first thing we saw fall to point to any necessity. For all we could know to the contrary, the objects might just as well have remained motionless, or have gone in any other direction than down- wards. 16. Take any other case at ran- dom amongst phenomena ; and it will be the same. We do not know the efficient cause of anything. We only know secondary or conditional causes, which properly speaking are not efficient causes at all. Scientific 126 CHAPTER III. men are aware of this, and speak now of the ' conditions ' of pheno- mena rather than of their ' causes/ For example : The insertion of zinc and copper, connected together in a certain manner, in diluted sul- phuric acid (hydric sulphate), is called one of the causes or condi- tions of the production of the elec- tricity, &c. But what right have w r e to assert that there is any neces- sary connection between the one and the other ? None. In short we only know conditions. We do not know the wherefore of anything. The ' explanations ' of phenomena, if made in order to assign the causes, are nothing but solemn scientific babble to cover our ignorance ; but if made merely to inform us of the conditions or circumstances or uni- formities which attend phenomena, THE PROBLEM SOLVED. I 27 they are useful so far, and serve to establish ' laws ' or ' rules. '* 17. There is a widespread mis- conception concerning the ( laws ' of nature. They are spoken of as if they possessed power or force. One often hears a child's question, ' Why do things fall ? ' answered by — ' Be- cause of the law of gravitation;' as if the law of gravitation, instead of being a mere generalization from the facts to be explained, were a different thing altogether, a force of some kind. This is surely ' put- ting the cart before the horse.' It is equivalent to the following : ' Why did Mr. Smith die ? Because of the law of mortality.' The true answer to a child who asks why things fall to the ground, is this : ' No one knows. But it is an ob- * See Note xix. 128 CHAPTER III. served fact that under certain cir- cumstances all bodies do fall/ Mr. Lewes has well exposed the mean- inglessness of such explanations as ' Animals live because of their vi- tality/ ' Watches go because of their watch-force/ ' Things fall because of their falling force ' (i.e. 'gravitation'). Mr. Mill, too, in his " System of Logic,' ' has explained the true nature of * law.' Professor Bain and several other writers take the same position ; and the Duke of Argyll gives an analysis of law which virtually amounts to the same view.* 1 8. In short, 'law' is merely the name we give to generalizations — or, in logical language, to universal propositions which we believe to be true. i This man is mortal ' is a * See Note xx. See also ante. Note. xii. THE PROBLEM SOLVED. J 29 1 particular ' proposition, and there- fore no law ; ' all men are mortal/ a universal proposition, is a law, a law of human nature. ' It is raining ' is particular; 'it always rains on Sundays ' is universal, and would, if true, be a law. 19. Thus, law, as law, does not involve necessity, whatever the popu- lar opinion on the point may be. Order or uniformity may be conceived happening by chance ; and wherever there is uniformity there is that which may be expressed by a uni- versal proposition — namely law. 20. There is, however, a necessity flowing from a law — the necessity of implication or consistency — the ne- cessity that if a law is true every instance coming under or included in it must be in agreement with it. g3 I30 CHAPTER III. This is merely logical necessity — the necessity which connects the conclu- sion of a syllogism to the premisses. Thus, All men are mortal ; Dion is a man ; Dion is mortal, is an example of the simplest pos- sible syllogism. Alter the arrange- ment a little, but preserve the reasoning,- — All men are mortal ; [Law] Dion (being a man) is mortal, [Instance] and the identity will be at once seen. 21. Or, the necessity might be called 'conditional necessity/ In explanations of phenomena, the law frequently is not known for certain, but is assumed as a supposition likely to be the right and proper one. If, for example, it is not known for certain that all men are mortal, — THE PROBLEM SOLVED. 13 I If all men are mortal, [Theory or Hypothesis] Dion (being a man) is mortal [Fact explained] shows that the necessity is condi- tional. 22. In fine this logical or condi- tional necessity is the necessity by which Cause and Effect are con- nected in our minds. If a law is true, every instance under it is ne- cessarily in accordance with it. If the law of human nature, that all men are mortal, is true, it necessarily follows that you, he, and I are all and each of us mortal. If the law of gravitation, that all bodies approach when there is nothing to prevent them from doing so, is true, it neces- sarily follows that this stone will fall to the earth unless something pre- vent. And so with all other instances of causation. The necessity in every 132 CHAPTER III. one of tliem is a logical or condi- tional necessity. 23. The identity might be still further exhibited by a few compari- sons. In logic the conclusion, in the simplest syllogism, is true be- cause the major premiss is universal, because the middle term is dis- tributed. Similarly, in physical science the (so-called) effect takes place because the law under which it comes is universal. In logic, again, the conclusion is said to be contained in the premisses. In physical science, in the same way, all effects are contained in their so- called causes. By logic alone we cannot arrive at really new truths. We can merely unfold, what, were we keen-sighted enough, we could arrive at by intuition, immediately on the statement of the first prin- ■■■ THE PROBLEM SOLVED. I33 ciples. So, in physical science. Not a single so-called ' explanation ' of phenomena does more than show that the phenomena are implied in the theories put forward. 24. In short, the inferring of effects from laws, or of laws from phenomena, bears a close resem- blance to the working out of an equa- tion in algebra — the steps of which process are connected together by the necessity of implication or con- sistency. Laws and phenomena, causes and effects, are bound to- gether, in our minds, by precisely the same subjective necessity. * Nor can we imagine any other sort of necessity. We have never had ex- perience of any other kind, and there- * See Note xxi. 134 CHAPTER III. fore can no more conceive of such than a man born blind can have ideas of colour. 25. This at first sight seems para- doxical. The popular idea of a com- pulsion or necessity binding together causes and effects does not imme- diately appear to be resolvable into one of a mere subjective necessity. To this it may be replied that the popular idea is not always the correct idea. A true and scientific analysis of causation ought to consist rather of an exhibition of what the idea should be than of what it actually is. 26. It is quite obvious that the idea oi necessary connection cannot be innate or intuitive. Whatever we believe about phenomena is based upon the observation of phenomena. THE PROBLEM SOLVED. 135 The idea of causation arises in our minds upon witnessing the unifor- mity, &c, prevailing. If we had been born into a world of perfect chaos, we could never have believed in causation or in necessary connec- tion. 27. The simplest idea of causa- tion, and probably the first arising in the mind, is that of mere inva- riability of conjunction. "We observe certain events so often associated with certain others, that we get to imagine a necessity of some sort (never clearly defined) as the bond of union. This is the crudest form of the idea, and the one, too, which is the easiest to be overcome. The more mysterious the necessity the more easily is it disbelieved in. In such cases the transition from causa- tion to ' mere coincidence/ or vice I36 CHAPTER III. versa, is more readily made by the mind than in other instances. 28. For example, friction is said to cause ,heat. # In this case, we have simply one event (the rubbing together of two substances), followed by another (the evolution of heat) ; and the involved idea of necessity or causation is based merely on the observation of such sequence. The notion of necessity here is so far from being deeply rooted in our minds, that very little would be needed to dissipate it. One well- authenticated case of friction being followed by cold would be quite suffi- cient for that purpose. 29. A similar instance of the idea * Example given by Powell : Nat. and Div. Truth, p. 88. THE PROBLEM SOLVED. 137 occurs in the proposition, ' Heat causes expansion/ The notion of necessity here, is (among men of science, at least) even fainter than in the former example ; for in the case of water between 3 2° and 40 Fahr. in temperature, heat is accom- panied by contraction. 30. The truth is, that in such in- stances of reputed causation, phy- sicists would guard themselves by saying that the alleged cause is not properly the cause, but only part thereof. That the real cause is the sum of all the necessary antecedents. Thus friction is only one of the necessary antecedents of the heat evolved, and therefore merely a part of the cause. The same with heat being followed by expansion or con- traction. The heat is only part of the cause. If we knew the other IJ 8 CHAPTER III. parts (i.e. the other necessary ante- cedents), we should understand why heat is accompanied by expansion at one time and by contraction at another. 31. At this point the idea of cau- sation enters a higher phase. The original popular notion of one cause to one effect passes into the correcter and more scientific theory of every effect being the result of many causes. This may be considered the view now generally prevalent among men of science. Indeed the word cause at this stage of progress generally disappears altogether. The term is apt to be misunderstood (it is argued) ; it is so greatly associated with metaphysical and theological speculations, that ideas entirely irre- levant, and sometimes mischievous, are imported into the calm stream THE PROBLEM SOLVED. 1 39 of scientific investigation. Hence, men of science as a rule now prefer the term i conditions ' instead of 6 causes.' Friction is called a con- dition or one of the conditions of heat, instead of a cause or one of the causes thereof. 32. We will not stop to inquire whether the new term is not just as misleading in one way as the old word was in another. There are materialists or positivists whose use of the term condition fitly expresses their entire adherence to the theory of Hume (as given in the Treatise of Human Nature), that there is no ne- cessary connection between events — merely relation, co-incidence, sequence, &c. But in such cases the idea of causation (as usually understood) entirely disappears ; I40 CHAPTER III. hence further consideration hereof is beyond the limits of this inquiry. We must analyze the notion of cau- sality whilst that of necessity still forms an essential part of it. 33. The idea of an event being the effect of more causes than one, bears an analogy to two or three other notions. For example, in mechanics, to a force being the re- sultant of various components ; and, in logic 9 to a proposition being the conclusion from various premisses. But the point which, as it seems to me, should be impressed above everything, is the similarity to logic : in other words, that, when pushed to a last analysis, we can discover nothing in the necessity between causes or effects besides a subjective or logical necessity — the necessity THE PROBLEM SOLVED. I4I of consistency or implication. "We cannot even imagine any other kind. There is a latent feeling in our minds, on contemplating the opera- tions of nature, that if we only knew all the essential conditions or causes of a phenomenon we should be able to see the connection — the necessity of the connection — as clearly as we see the connection between the premisses and the conclusion of a syllogism. 34. Besides this, the necessity is also conditional. That is to say, it depends on the assumption of the universality which we attribute to the laws, principles, theories or hypotheses which we lay down in order to explain phenomena. No one can tell absolutely that a law is universal ; but on the assumption of such universality, the occurrence 142 CHAPTER III. of certain phenomena is explained by implication. 35. We cannot for certain (e.g.) tell that the law of gravitation is universal. We cannot absolutely know that all the bodies in the universe, without a single exception, are attracted towards each other. But assuming that it is so by way of hypothesis, astronomical and ter- restrial phenomena are explained or deduced, just as a conclusion is drawn from premisses. The neces- sity connecting the cause and the effect is logical and at the same time conditional. Here we see the appli- cation of what has already been hinted at. # When it is said that gravitation is the cause of the attrac- # See ante, § 21. THE PKOBLEM SOLVED. 1 43 tion between the earth and the moon, all that is meant is that one is a case or instance of the other ; thus, (If) all material bodies attract each other ; [Law of gravitation] (Then) the earth and moon (being material bodies) attract each other. [Phenomenon] 36. The same thing may be seen in all other instances into which the idea of causality enters ; and perhaps in a greater degree. The explaining of the fall of bodies by pointing to the law of gravitation is so ex- tremely simple, that every one sees its nature directly. And for that reason it is, bij itself, scarcely an in- stance of the idea of causation. The more complicated the combination of laws (or premisses) the more hidden is the true nature of the necessity ; and, by a curious fallacy of the mind, 144 CHAPTER III. the stronger the idea of an uncondi- tional necessary connection becomes. "When an effect is an instance merely of a single law, it is thought not so certain as when many laws form the premisses. That God should cause an event to happen contrary to one law, would be thought a slight miracle in comparison with the alte- ration of an event dependent on a combination of several laws.* 37. For this reason the true idea of causality is perhaps better ex- hibited by taking examples from more complicated cases. We have seen that gravitation simply in itself; friction causing heat ; and such phe- nomena — are empiric as far as their raison d'etre is concerned. We do * See Note xxii. THE PROBLEM SOLVED. 1 45 not know why material bodies should attract each other, or why friction should be accompanied by heat. And therefore we have little, if any, con- viction of necessity in relation to these cases. If on the other hand they could be referred to wider laws, our notion of necessity would be greater; if these again could be re- ferred to still wider, our impression of the necessity would be still stronger ; and so on. 38. Although we have not any explanations of gravitation, friction causing heat, &c, we have neverthe- less the conviction of a conditional necessity regarding them. If we only knew all the circumstances the explanation would be complete. This we feel certain of. But to the un- philosophical mind, an explanation wanting, is equivalent to mystery. I46 CHAPTER III, It is for men of science to recognise that, as far as explanations go, all phenomena and all laws are on an absolute equality— none higher and none less ; and the necessity the same in all cases. That is, of course, viewing them subjectively ; in their relation to ourselves. What their relative importance may be intrin- sically and absolutely we have not the slightest knowledge. 39. At first all observations are empirical. After a time, in the pro- gress of discovery, a phenomenon is found to bear a similarity to other phenomena ; and they are all classed together. This is the first step in ' explanation. ' Further on, and the whole species is found to agree with another species. This is con- sidered a still more satisfactory ex- planation ; and after a time perhaps THE PROBLEM SOLVED. 1 47 the whole germs is found to accord with another genus ; and so on. Every new discovery of similarity gives additional satisfaction to the mind in its search after uniformity. 40. Baden Powell gives a good illustration of this.* ' When the ' suspension of water in the pump ' was first observed it was ascribed ' to a cause called suction, and in the ' then state of knowledge, it was not i only natural, but inductively cor- ' rect, to ascribe so singular an effect ' to a peculiar cause. It was appa- 6 rently a case sui generis. The effect ' was, perhaps, soon seen to be of ' the same kind as the suspension 6 of a stone by contact with the under ' side of a wet leather ; there was Nat. and Div. Truth, p. 90. h2 I48 CHAPTER III. ' then one step taken in the process ' of generalization, by referring both ' to one common cause, still named ' suction. Further, the discovery ' of Torricelli referred the former ' case to the pressure of the atmo- 6 sphere ; and this was soon seen to ' include the explanation of the latter ' and all other analogous phenomena. 6 And, finally, this was reduced under ' the still more comprehensive law ' of universal gravitation.' 41. Much confusion of thought is occasioned by the use of abstract nouns ; and it would add greatly to scientific exactness were they all banished, and equivalent phrases used instead. Gravitation, suction, life, inherent principle, property, vitality, power, will, and countless other things, have at one time been, THE PROBLEM SOLVED. 1 49 or still are, regarded as causes. Such explanations of phenomena really explain nothing. They are merely cloaks to cover our ignorance. Just think of it. Gravitation the cause of things gravitating. Suction the cause ' of sucking. Will the cause of volition. Do not such explana- tions, when divested of sophistical padding, dwindle down to these barren and absurd propositions ? Mr. Lewes has some excellent re- marks on this head. We might as well, he says, attribute the cause of a watch going to its ' watch force.' # 42. Now, were all these abstract nouns translated into their (so to speak) concrete equivalents, their na- ture would appear in its true light. It * c Aristotle," chap. iv. § 72 b. 150 CHAPTER III. would be seen that we know nothing of these things except empirically. That we know nothing of gravitation except that, as a matter of fact, material bodies gravitate. That we know nothing of life, except that living beings live. Of anything else we are profoundly ignorant. The more we learn of nature, the more we see there is to be known, and the more we become acquainted with our own ignorance. 43. We shall see the real nature of the ' explanation ' of phenomena in the instance already given of the raising of water by a pump. In the first place that phenomenon was attributed to ' suction ' ; which was merely a way of saying that it was a case of a liquid being sucked up or raised. The rise of a liquid through a straw to the mouth was a THE PROBLEM SOLVED. 151 phenomenon of the same species. Saying, therefore, that ' suction ' was a cause, only explained the event by a logical necessity. Thus — (If) under certain circumstances liquids rise [Major premiss] (Then,) the action of a pump involving such circumstances ; and water being a liquid ; [Minor premisses'] (It follows that) upon the action of a pump, the water rises. [Con- clusion] The explanation of the rise of the water by the maxim, 'Nature abhors a vacuum,' was similarly merely a logical deduction : — (If) Nature always provides against the possibility of a vacuum ; [Major] (Then) the way of providing against the existence of a vacuum in a pump, being therise of the water, [Minor] (It follows that) the water rises in a pump. [Conclusion] 152 CHAPTEE III. 44. The second step was made on the discovery that water could not be raised by a pump, as a rule, to a greater height than 32 or 33 feet, sometimes not higher than 3 1 feet, and very seldom above 34 feet. This showed the falsity of the hypo- thesis (or major premiss) that vacua do not exist in nature. The philo- sophers of the period had accordingly to search for another explanation (i.e. find another 'middle term'). Galileo's solution of the difficulty, namely, that nature abhorred a vacuum only to the extent of 23 f ee U did not altogether sound satisfac- tory; and Torricelli was set thinking and experimenting to find out a more likely ' middle term/ This at length was found ; and the whole species, suetiones, was seen to belong to the genus equilibria. Phenomena THE PROBLEM SOLVED. 1 53 of equilibrium, in their turn, are deducible from still wider laws or hypotheses in mechanics ; — to speak logically, they are deducible from more general major-premisses; — to speak the language of naturalists, they belong to still higher genera. 45, And so with all other phe- nomena. Every so-called effect is explained by showing its inference from some law or hypothesis. And many hypotheses are, in their turn, referable, in the same manner, to wider generalizations or genera/" The further this process can go, the greater is the satisfaction to our minds — the firmer is our idea of the stability and invariableness of the phenomenon. This is the true ' necessary connection ' between * See Note xxii. § 2. h8 154 CHAPTER III. cause and effect. It is logical ne- cessity — the necessity of implication. Of any other kind of necessity we have no knowledge, and, indeed, not the slightest conception.. We can only imagine what we have experienced; and the analysis of causality has shown that the ne- cessity we attribute to events is altogether subjective — the develop- ment of logical consistency and of nothing else. 46. In conclusion, there is one important corollary to be men- tioned which cannot be too strongly impressed on all — scientific and unscientific alike. It is the ' con- ditionalness,' or ' hypotheticalness,' of all laws. We arrive at these 'major premisses' by generalization ; and, as none of us are omniscient, THE PROBLEM SOLVED. 1 55 it follows that we never know abso- lutely the truth of a single law of the inductive sciences. The im- portance of knowing this little fact can scarcely be overrated. In these days of much superficial cramming of scientific facts and theories, there is constantly a danger, unless the science be accompanied with philo- sophy, of our getting false ideas of what is possible or impossible — and a tendency to dogmatise when w T e have least reason for doing so. A deep feeling on our part that all our science * is really nothing but a collection and classification of iso- lated but analogous facts — and that anything beyond this is outside the * i.e. inductive science. I do not, of course, include the mathematical or the sciences of the ^conditioned. 156 CHAPTER III. limits of our knowledge (at least as those limits at present are) — ought to teach us how emphatically super- ficial even our deepest discoveries are, and how infinitesimal is our knowledge of the marvellous secrets and vast resources of nature. APPENDIX TO CHAPTER III. NOTES XVI. TO XXII. APPENDIX TO CHAPTER III. XQTE XVI. (Referred to in § 10.) ORIGIN OF BELIEF IX CAUSES. 1 There are two doctrines, which ' appear to represent different stages ' of civilization. 1 According to the first doctrine, 6 every event is single and isolated, 1 and is merely considered as the 1 result of a blind chance. This ' opinion, which is most natural to ' a perfectly ignorant people, would 1 soon be weakened by that exten- ' sion of experience which supplies ' a knowledge of those uniformities ' of succession and of co-existence ' that nature constantly presents. ' If, for example, wandering tribes, ' without the least tincture of civil- 1 ization, lived entirely by hunting l6o APPENDIX TO CHAP. III. 1 and fishing, they might well sup- 6 pose that the appearance of their ' necessary food was the result of ' some accident which admitted of 6 no explanation. The irregularity ' of the supply, and the apparent ' caprice with which it was some- 1 times abundant and sometimes 6 scanty, would prevent them from * suspecting anything like method ' in the arrangements of nature ; ' nor could their minds even con- 6 ceive the existence of those general ' principles which govern the order ' of events, and by a knowledge of 1 which we are often able to predict * their future course. ' But when such tribes advance ' into the agricultural state, they, ' for the first time, use a food of ' which not only the appearance, ' but the very existence, seems to ' be the result of their own act. ' What they sow, that likewise do ' they reap. The provision neces- ' sary for their wants is brought * more immediately under their own ' control, and is more palpably the ' consequence of their own labour. NOTE XVI. l6l ' They perceive a distinct plan, and ' a regular uniformity of sequence, ' in the relation which the seed they ' put into the ground bears to the ' corn when arrived at maturity. ' They are now able to look to the 6 future, not indeed with certainty, ' but with a confidence infinitely ' greater than they could have felt ' in their former and more precarious 6 pursuits. Hence there arises a dim ' idea of the stability of events ; and ' for the first time there begins to ' dawn upon the mind a faint con- ' ception of what at a later period 6 are called the Laws of Nature. ' Every step in the great progress ' will make their view of this more ' clear. As their observations ac- 1 cumulate, and as their experience ' extends over a wider surface, they ' meet with uniformities that they 1 had never suspected to exist, and ' the discovery of which weakens ' that doctrine of chance with which ' they had originally set out. ' Yet a little further, and a taste ' for abstract reasoning springs up ; ' and then some among them gene- 1 62 APPENDIX TO CHAP. III. ' ralize the observations that have ' been made, and, despising the old ' popular opinion, believe that every ' event is linked to its antecedent ' by an inevitable connexion ; that ' such antecedent is connected with ' a preceding fact; and that thus ' the whole world forms a necessary ' chain, in which indeed each man ' may play his part, but can by no 6 means determine what that part ' shall be. ' Thus it is that, in the ordinary ' march of society, an increasing per- ' ception of the regularity of nature ' destroys the doctrine of Chance, ' and replaces it by that of Necessary ' Connexion/ — Buckle. # # History of Civilization, 3rd ed. vol. i. pp. 8—9. NOTE XVII. 163 NOTE XVII. (Referred to in § 11.) THE LAW OF CONSISTENCY. ' It is a fundamental requisite of reasoning, as well as of communi- cation by speech, that what is affirmed in one form of words shall be affirmed in another. 1 Language often contains equi- valent expressions for the same fact. There are synonymous names as "round," "circular"; a round thing is the same as a circular thing. ' ' Matter is heavy, " " matter gravitates," are the same fact in different words ; if the one is true, so is the other, by virtue of mere consistency. ' " All matter is heavy, therefore any one piece of matter is heavy," is called a necessary inference. A more exact designation would be 164 APPENDIX TO CHAP. III. 6 an equivalent, implicated, or self- 6 consistent assertion.' — Bain.* ' In common speech, " necessity " ' is a synonym of certainty ; and ' would apply to inductive truths. . . ' " Necessity " more properly ' means implication ; " necessary ' truths " in this sense are the ' truths demanded by Consistency. ' Their denial is a contradiction in ' terms. . . . ' A third meaning and criterion 6 of Necessity, is inconceivability of ' the opposite.' — Bain.I * Logic, Introd., art 21. f Logic, b. ii. chap. v. arts. 3 — 6. See also the following Note. ^° NOTE XVIII. 165 NOTE XVIII. (Eef erred to in Note xvii.) MEANING OF NECESSITY. ' Necessity (ne and cesso, that ' which cannot cease). — I have one ' thing to observe of the several ' kinds of necessity, that the idea of ' some sort of firm connection runs ' through them all : — and that is the ' proper general import of the name. ' Connection of mental or verbal ' propositions, or of their respective 1 parts, makes up the idea of " logi- ' cal " necessity, — connection of end 1 and means makes up the idea of ' " moral' ' necessity, — connection of 1 causes and effects is " physical " ' necessity, — and connection of ex- ( istence and essence is "metaphy- ' sical " necessity.' — Watekland. * # Works, vol. iv. p. 432. Quoted by Dr. Fleming, Vocab. Phil. 2nd ed. p. 342. 1 66 APPENDIX TO CHAP. III. ' If necessity do concern things ' in themselves, necessity is yet no ' predicate of a thing, any farther ' than it expresses a certain quality ' of our conceptions regarding the ' existence of the thing. In fine, ' necessity lies not so much in the ' objective reality as in the subjective ' mind. 6 To illustrate this doctrine by an ' example taken from the science of ' magnitude. That the three interior ' angles of every triangle are equal ' to two right angles, is a truth ' which, if the demonstration has ' been followed, cannot but be be- ' lieved, when the subject is thought ' on. It is therefore pronounced ' a necessary truth.' — W. H. Gil- lespie." 6 Most persons are familiar with ' the distinction of necessary and con- ' tingent truths. The former kind ' are truths which cannot but be ' true ; as that 19 and 1 1 are 30 ; — * Exam, of AntitJicos, part i. §§ 64 — 65. NOTE XIX. 167 1 that parallelograms upon the same ' base and between the same parallels ' are equal ; — that all the angles in ' the same segment of a circle are ' equal. The latter are truths which 6 it happens (contingit) are true ; but ' which, for anything which we can ' see, might have been otherwise/ — Whewell."* NOTE XIX. (Referred to in § 16.) EXTRACT FROM HAMILTON. 6 When a fact is generalized, our ' discontent is quieted, and we con- ' sider the generality itself as tan- ' tamount to an explanation. Why ' does this apple fall to the ground ? ' Because all bodies gravitate to- ' wards each other. Arrived at this ' general fact, we inquire no more, * Hist. Scien, Ideas, part i. b. i. chap. i. § 2. 105 APPENDIX TO CHAP. III. ' although ignorant now as pre- ' viously of the cause of gravitation ; 'for gravitation is nothing more ' than a name for a general fact, the 4 " why " of which we know not.' — Lectures, i. p. 71. NOTE XX. (Referred to in § 17.) MEANING OF < LAW.' 1. ' The word Law expresses the ' constant and regular order accord- ' ing to which an energy or agent 6 operates.' — Fleming : Vocal. Phil p. 286. 2. ' It is a perversion of language ' to assign any law, as the efficient, ' operative cause of anything. A ' law presupposes an agent ; for it is 4 only the mode, according to which ' an agent proceeds : it implies a ' power ; for it is the order, accord- ' ing to which that power acts. NOTE XX. 169 ' Without this agent, without this ' power, which are both distinct from ' itself, the law does nothing, is ' nothing.' — Paley : Nat. Tlieol., ch. i. § 7. 3. ' Those who go about to attri- ' bute the origination of mankind ' (or any other effect) to a bare order 6 or law of nature, as the primitive ' effecter thereof, speak that which ' is perfectly irrational and unintel- ' ligible ; for although a law or rule ' is the method and order by which ' an intelligent being may act, yet a ' law or rule or order is a dead, un- ' active, uneffective thing of itself.' — Hale : Prim. Orig., ch. vii. § 4.* 4. ' The first point to be noted 6 in regard to what is called the ' uniformity of the course of nature, ' is, that it is itself a complex fact, ' compounded of all the separate ' uniformities which exist in respect # Quoted by Dr. Fleming : Vocal. Phil., p. 286. I 17O APPENDIX TO CHAP. Til. ' to single phenomena. These vari- ' ous uniformities, when ascertained ' by what is regarded as a sufficient ( induction, we call in common par- ' lance, Laws of Nature/ — Mill : System of Logic, b. iii. ch. iv. § i. 5. ' The problem of Inductive ' Logic may be summed up in two ' questions : how to ascertain the ' laws of nature ; and how, after ' having ascertained them, to follow ' them into their results. On the ' other hand, we must not suffer ' ourselves to imagine that this mode ' of statement amounts to a real ' analysis, or to anything but a mere ' verbal transformation of the pro- ' blem ; for the expression, Laws of ' Nature, means nothing but the ' uniformities which exist among ' natural phenomena, when reduced ' to their simplest expression.' — Mill : ib. 6. ' If the explaining a phaeno- ' menon be to assign its proper * efficient and final cause, it should ' seem the mechanical philosophers ' never explained anything ; their NOTE XX. 171 ' province being only to discover the ' laws of nature, that is, the general ' rules and methods of motion, and 6 to account for particular phseno- ' mena by reducing them under, or 6 shewing their conformity to such 6 general rules.' — Berkeley, Siris, § 2 3 u 7. ' It may be that some proud and ' rash generalisation of the schools ' is having its falsehood proved by * the violence it does to the deepest 6 instincts of our spiritual nature. . . ' Such, for example, is the conclu- ' sion to which the language of ' some scientific men is evidently ' pointing, that great general Laws ' inexorable in their operation, and 6 causes in endless chain of inva- 6 riable sequence, are the governing ' powers in Nature, and they leave ' no room for any special direction ■ or providential ordering of events. ' If this be true, it is vain to deny ' its bearing on religion. What, 6 then, can be the use of prayer ? ' Can Laws hear us ? . . . . 4 The conception of Natural Laws, i2 172 APPENDIX TO CHAP. III. which involves us in such ques- tions, and points to such con- clusions, demands surely a very careful examination at our hands. ' What, then, is this reign of Law ? What is Law, and in what sense can it be said to reign ? ' Words, w r hich should be the servants of thought, are too often its masters ; and there are very few words which are used more ambiguously, and therefore more injuriously, than the word Law. . . . There are at least five different senses in which Law is habitually used, and these must be carefully distinguished : — ' First, We have Law as applied simply to an observed order of facts. ' Secondly, To that order as in- volving the action of some force or forces, of which nothing more may be known. ' Thirdly, As applied to individual forces the measure of whose opera- tion has been more or less defined or ascertained. NOTE XX. 173 6 Fourthly, As applied to those ' combinations of force which have ' reference to the fulfilment of pur- ' pose, or the discharge of function. ' Fifthly, As applied to abstract ' conceptions of the mind — not ' corresponding with any actual phe- 1 nomena, but deduced therefrom ' as axioms of thought necessary ' to our understanding of them.' — Duke of Argyll : Reign of Lcav, chap. ii. ' 8. An observed order of facts ' to be entitled to the rank of a Law ' must be an order so constant and ' uniform as to indicate necessity.' — Duke of Argyll : ib. 9. ' The phrase Laivs of Nature ' may be understood to imply (1) * that Nature is uniform, and (2) 6 that this uniformity is a plurality ' and not a unity. There are sepa- ' rate departments, each with its 4 own uniformities or laws.' — Bain : Logic, b. iii. c. ii. § 2. 174 APPENDIX TO CHAP. III. NOTE XXI. (Referred to in § 24.) GRAVITATION. 1. Gravitation is a remarkable instance of implication — remarkable because it is popularly supposed to be the most stringent and powerful of all 'causes.' It will therefore exemplify the better the logicalness and conditionalness of the ' ne- cessity.' The law of gravity states that all material bodies attract one another directly as the mass and inversely as the square of the dis- tance. Now what are ' material bodies ' ? No definition can be given except this, that they are things which attract one another in that way. The law of gravitation is therefore implied in the very defi- nition of a material body. 2. Possibly this is hypercritical. It may be contended that there are a variety of things (objects of thought) in the universe — stones, NOTE XXI. 175 trees, houses, light, heat, electricity, mind, gas, &c. ; that a common property of attraction is found to dwell in a large class, which, for the sake of convenience, is desig- nated matter. Is not this discovery concerning so large a class an im- portant truth — a really new truth ? And, moreover, it may be asked, were not material bodies classed together long before gravitation was discovered ? Perhaps so ; and per- haps, on the other hand, the quality (openly stated or tacitly assumed) deemed essential to matter before the law of gravity was scientifically for- mulated, was really nothing but gravitation in another form. 176 APPENDIX TO CHAP. III. NOTE XXII. EXTRACTS FROM BADEN POWELL. 1. (Referred to in § 36.) [The intimate union which we imagine to exist between cause and effect] ' is no other than that of the 6 particular individual case with the ' more general law : of that law ' with some still more comprehen- ' sive principle : and, of this, again, ' in its turn, with some yet more ' universal theory : thus establishing ' not merely sequences but reasons, ' not merely connexions but expla- 1 nations. . . . ' If further confirmation of this ' view of the matter be wanting, we ' may find it in observing the de- ' pendence which the strength of our ' impression of an intimate causality ' always has upon the extent to ' which we trace the series of com- ' binations of laws and principles. NOTE XXII. 177 ' The force of the persuasion we ' entertain of causation varies with ' the different degrees in which * the relations of physical laws ' are more or less general, more or * less widely ramified and dependent 6 one on another, more or less con- ' nected with high general prin- ' ciples and comprehensive theories. ' Our impression of the idea of an ' efficient cause is much weaker, for ' instance, in the case of friction 6 and heat, than in that of gravi- ' tation and elliptic orbits, or ' tides. 6 Suppose we should hear it re- ' ported that some substance had ' been found in which no violence 1 of friction would produce heat ; in 1 estimating its probability prior to ' evidence of the fact, I believe no 6 truly philosophic inquirer would ' reject it as a violation of the order ' of natural causes. But suppose ' it should be rumoured that a new ' planet were discovered, but that it ' did not move in an elliptic orbit ; ' I imagine this circumstance would 6 cast suspicion on the credit of the ' whole statement, in the minds of 1 3 178 APPENDIX TO CHAP. III. ' all who understood the nature ' of gravitation. . . . ' So firm is our persuasion of the ' uniformity of nature, that we can- ' not bring ourselves to believe in ' the capricious violation even of 6 one of her laws ; we, therefore, are ' prone to regard the violation of ' several in succession, as absolutely ' contradictory and impossible.'— The Connexion of Natural and Divine Truth, pp. 104—6. (Referred to in § 45.) ' Thus the consideration of a real ' cause, in fact, involves the con- ; nexion of one train of causes with ' another. The cause is shown to ' apply independently to one set of ' phenomena ; we refer another class ' to the same class. Thus we en- 4 large our ideas of the connexion of ' physical phenomena ; we trace not ' only one series of causes and NOTE XXII. 179 ' effects, but many, and these not ' independent, but united by common ' principles. We perceive a union ' between extended orders of facts. 6 We find not merely one relation ' established, but a communication ' opened, as it were, with a vast ' range of such relations ; and many ' such channels of communication, ' widely ramifying in all directions. 5 — lb. p. 102. %* To those who have favoured me with a perusal of the chapter to which this appen- dix belongs, the similarity between the view of causation there expressed and that advo- cated in Mr. Powell's writings may seem to amount almost to identity. Were there no such phenomenon as volition, the similarity, would be still greater. But it has already been pointed out (p. 82) that Baden Powell treated the phenomena of voluntary actions in a different manner from the way in which he dealt with other events : a distinction for which, I confess, I cannot see any sound reason, INDEX. i8 3 INDEX. A. Abercrombie, John, M.D., Intellectual Powers, 13. Abstract nouns, confusion caused by, 148. concrete equivalents of, 149. Acids, 77. Alchymists, 28. Algebra, 133. Alkali, 77, Animal kingdom, 98. Annihilation, Sir W. Hamilton on, 77. Hegel on, 88. 184 INDEX. Apodeictic, contingent experiences not, I universal causation not, 9. Approximations to Truth, 13. A priori argument, 6. Argyll, Duke of, The Reign of Law, 13. has done good service, 91. on Kepler's Laws, 96. his analysis of law, 128. five senses of law, 172. Aristotle, 13. Astrologers, 28. Astronomers, 28. Atheism, 87. arguments for, 115. Atkinson, H. G., viii. and Martineau's Letters, 13. on causation, 41. quoted, 86. on truth, 89. on power, 89. INDEX. 185 Atkinson, continued — on Dr. Brown, 90. on law, 94. on Mr. Grove, 100. his opinion, 103. B. Bacon, 14. the time of, 27. quoted by Mr. Atkinson, 86. medium between bodies, 90. on individual bodies, 96. Bain, Alex., LL.D., Dedication to, v. mentioned, 4. Mental and Moral Science, 14. Logic, 14. has treated of Causation, 26. adopts Mill's definition, 8 ^. a distinction of, 56. uniformity of nature, 63. conservation of force, 80. 100 INDEX. Bain, continued — his opinion, 104. Law of Consistency, 122. nature of law, 128. consistency, 163. on Necessity, 164. Barrow, Dr., 47. Bayle, 14. Beattie, 14. has treated of causation, 26. meaning of cause, 33. on common sense, 35. and Kant, 37. and Baden Powell, 41. an opponent of Hume, 53. vehement ditto, 58. his opinions, 103. Berkeley, Bishop, 14. Hume on, 35. Divinity of causation, 42. a predecessor of Hume, 50. and Locke, 52. INDEX. 187 Berkeley, continued — his opinions, 104. explanation of phenomena, 170. Billiard-balls, impulse of, 30. Mr. Lewes on, 64. Biran, Maine de, 106. Bledsoe, Prof., 114. Bray, Chas., 14. Mr. Atkinson on, 89. Brougham, Lord, 14. on Hume, 58. Brown, Dr. T., 14. has treated of causation, 26. and Dugald Stewart, 38. Comte, and Mansel, 41. his doctrine, 56. Mr. Atkinson on, 90. his opinions, 104. Buchner, 14. Buckle, H. T., History of Civilization, 14. his opinion on causation. 107. 105 INDEX. Buckle, continued — origin of belief in causes, 159. on Necessary Connection, 162. Butler, Bishop, 14. on causes and effects, 48. C. Causation, passim. Universality of, not apodeictic, ( do. Brown on, 38. do. Stewart on, 38. Moral, 85. Physical, 85. What is it really ? 103. Is it universal ? 105. How is the idea produced ? 106. Is it a necessary truth ? 106. origin of belief in, 159. Cause, First, 5. Causes, moral, 41. physical, 41. INDEX. Causes, continued — and effects, nexus between, 104. secondary, 125. Chalybaus, 15. Quotation from, 108. Chameleon, The, 68. Chance, fate and, 27. savages belief in, 121. uniformity, 129. Buckle on, 162. Chemistry, 28. Civilized nations, 121. Clarke, Samuel, 15. Cogito, ergo sum, 91. Cognitive faculty, 108. Collins, Anthony, 15. Collocation of circumstances, 81. Colour, 134. Comte, 15. Brown and Mansel, 41. on seeking causes, 88. 19° INDEX, Comte, continued — Mr. Atkinson on, 89. his views, 104. Combustion, 70. Conditions, 126. the term used for 'causes,' 139. Consistency, Law of, 122. Bain on, 163. Contingent experiences, 8. Creation, 76. Cricket-ball, flight of, 83. D. Day not the cause of night, 32, alluded to by Mill, 73. Deity in relation to causation, Malebranche on, 42. Berkeley on, 51. Hume on, 57. Hamilton on, 76. Dugald Stewart on, 101. Leibnitz on, 104. INDEX. igi Demonstration, 8. Denial and doubt, 58. Design Argument, 6. E. Earth on elephant theory, 7. alluded to by Mr. Atkinson, 90. Elasticity, 83. Electricity, 126. Empiric knowledge, 144. the first stage in science, 146. Equilibrium, 153. Existence, permanence of, 76. Expansion by heat, 137. Explanation of phenomena, the, Berkeley on, 50. often a covering for ignorance, 126. what it is, 133. illustration of, 150. F. Fatalism, 115. Fate, 27. 192 INDEX. Fleming, Dr., quoted, 99. on Kant, 109. on Law, 168. Force, Bain on, 41. conservation of, 80. Mr. Grove on, 100. synonyms of, 119. popularly imputed to Law, 127. as a resultant, 140. Forces, Berkeley on, 51. in mechanics, 140. Fowler on miracles, 16. Freewill, necessity versus, 27. Mr. Atkinson on, 87. arguments for, 115. Friction, said to cause heat, 136. called a condition of heat, 139. accompanied by heat, 145. INDEX. 193 Future resembling the past, 30. G. Genus, a relative term, 93. of phenomena, 147. Genera, 153. Gillespie, Mr. W. H., xxiii., 5, 166. Glanvill, 26. a predecessor of Hume, 28. Scepsis Scientifica, 49. Gravitation, law of, 96. phenomena of, 125. misconception concerning, 127. Is it universal ? 142. instanced, 143. Baden Powell on, 148. very little known of, 150. Hamilton on, 168. an instance of implication, 174. Grouping of opinions, Curious, 60. 194 INDEX. Grove, Mr. W. R., ioo. H. Hamilton, Sir W., 16. mentioned, 26. on matter, 40. his theory of causation, 75. Bain on, 81. his views, 104. extract from, 167. Heat, caused by friction, 136. friction a condition of, 139. friction accompanied by, 145. Hegel, 88. Hobbes, 16. and Bacon, 27. a predecessor of Hume, 28. extract from Tripos, 49. on the medium between bodies, 90. Hume, 16. on the ideas of power, force, &c, 25. INDEX. 195 Hume, continued — Was he the originator of the dis- cussion ? 26. Hobbes, Glanvill, and Malebranche preceded him, 28. his paradoxical style, 29. his Theory briefly stated, ib. his reply to objectors, 34. his elimination of synonyms, 35. his opponents, ib. his first antagonists, 36. Whewell's reply to him, 37. Brown and Stewart's concessions to his doctrine, 38. his definition modified by Mill, 40. Baden Powell on, 41. his predecessors, 47. and Berkeley, 50. and Locke, 51. disagreement concerning his theory, 53- his two theories, ib. k2 196 INDEX. Hume, continued — 1 Treatise of Human Nature,' 53. ' Inquiry concerning Human Under- standing,' ib. the difference between his two pub- lications, 54. his Essays-theory, 55. his Treatise-theory, 57. Lord Brougham on, 58. Mr. Lewes on, 61. on Power, 88. Mr. Atkinson on, 89. his idea of sequence, 91. his doctrine thought by Stewart to be favourable to theism, 101. his views tabulated, 103. Chalybaus on, 107. Kant's use of his theory, ib. his definition, 116. Mr. Mill on, 117. his synonyms of causality, 119. on necessary connection, 123. INDEX. 197 Hume, continued — his half-truth, 124. his theory adopted by positivists, 139- Huxley, Professor, 16. Hypotheses, assumption of, 141. in mechanics, 153. explanation by, ib. explanation of, ib. Hypotheticalness of Laws, 154. I. Ignition, 70. Inductive Science, 155. Infants, observation by, 65. Ingleby, CM., viii. his i Introduction to Metaphysic,' 16. Inherent principles, Mr. Atkinson on, 97. regarded as causes, 148. 198 INDEX. Intelligence, cause of, 7. Gillespie on, 20. Intuition, Reid and Beattie on, 36. Glanvill on, 49. and logic, 132. Intuitive belief in causation, 38. Intuitive conviction concerning the future, 63. Iron, oxidation of, 70. Irons, Dr., 16. j- Johnson, Dr., 116. K. Kaimes, Lord, 17. Kant, his Critique of Pure Reason, 17. on causation, 33. Reid, Beattie, and Whewell, 37. INDEX. 199 Kant, continued — his views tabulated, 104. his use of Hume's doctrine, 107. Chalybaus on, 108. Whewell and Fleming on, 109. Kepler's Laws, an Order of Facts, 96c particular, 98. Law, discussion on, 87. independent of power, 91. natural, 92. of nature, ib. mortality a, 93. the term relative, ib. Atkinson on, 95. a general fact, 96. the reign of, ib. fixity of, 97. 200 INDEX. Law, continued — Dr. Fleming on, 99. of action, ib. or principle, 100. Mill on, 128. a name for generalizations, ib. does not involve necessity, 129. necessity flowing from a, ib. of gravitation, 131. miracle, contrary to, 144. meaning of, 168. Paley on, 169. Duke of Argyll on, 172. of gravity, 174. Laws, physical, 91. of Nature, 93. or generalizations, 94. within laws, ib. an ascertained regularity, ib. of gravity, ib. Mr. Atkinson on, 95. INDEX. 201 Laws, continued — Kepler's, 96. particular, ib. Bacon on, ib. not abstractions, 97. uniformities, ib. that apply only to planets, 98. merely regularity, ib. of existence, ib. rules or inherent principles ? 99. inferring effects from, 133. and phenomena, ib. and hypotheses, 141. several, infraction of, 144. wider, 145. none higher and none less, 146. in mechanics, 153. the conditionalness or hypothetical- ness of all, 154. of the inductive sciences, 155. Hale on, 169. Mill on, 170. k 3 202 INDEX. Laws, continued — Berkeley on, 171. Duke of Argyll on, 172. Bain on, 173. Baden Powell on, 176. Leibnitz, 17. on the divinity of causes, 42. his views tabulated, 104. Lewes, G. H., Dedication to, v. his ' History of Philosophy,' 17. on the universality of causation, 22. quoted, 29. on causation, 33. mentioned, 39. quotes Glanvill, 49. on Hume, 61. on power involved in causal act 62. on future resembling past, 63. on custom or habit, 64. on motion of billiard-balls, 65. INDEX, 203 Lewes, continued — on experience (of sugar, e.g.), 66, criticised, 67. on causation as a relation, 70. his views tabulated, 103. on i watch-force,' 128. on the abuse of abstract nouns, 148. Locke, 17. a predecessor of Hume, 51. Berkeleian sentiment of, 52. on the origin of the idea of cause, 106. Logic, treatises of, 26. and physics compared, 132, cannot give us really new truths, ib. and intuition, ib. and causation, 140. Logical necessity, the primary idea of necessity, 122. illustrated, 130. or conditional necessity, 131. 204 INDEX. Logical necessity, continued — or subjective necessity, 140. the nexus in causation, 142. M. McCosh, Dr., 17. Malebranche, 17. a predecessor of Hume, 28. on the divinity of causation, 42. mentioned, 102. his views tabulated, 104. Mansel, Dr., Comte and Brown, 42. his views tabulated, 104. Materialists, 139. Mathematics, 8. unconditional, 155. Matter, 8. indestructibility of, 40. passiveness of, 52. Hamilton on, 79. INDEX. 205 Matter, continued — inherent property of, 83. Mr. Atkinson on, 86. Mechanics, forces in, 140. hypotheses in, 153. Middle term, 152. Mill, J. S., Dedication to, v. mentioned, 4. ' System of Logic,' 18. his modification of Hume's definition, 40. on causation, 73. on Hamilton, 79. his views, 103. criticised, 117. on Law, 128. on the laws of nature, 169. Mind, 86. Moral causes, 41. Baden Powell on, 85. 206 INDEX. Motion, Locke on, 51. Baden Powell on, 84. Muscles, 84. N. Nature, Uniformity of, Bain on the, 63. Mill on the, 173. ' Nature abhors a vacuum,' 151. Necessary truth, 63. Necessary connection, 134, et passim. Necessitarianism, 28. Necessity, passim. Philosophical, 27. Subjective, 133, 134, 140, et cceteroqui. Logical. See ' Logical necessity. Neil, Mr. S., viii. Nerves, 84. Newman, Professor, 6. Newton, Sir Isaac, 90. INDEX. 207 Nihilo nihil, Ex, 76. Nouns, abstract, cause of error, 148. O. Observation, by infants, 65. of phenomena, 134. Oxidation of iron, 70. Oxygen and the metals, 70. Participles of time, 119. Physical causes, 41. Baden Powell on, 85. Physical Science, 132. See also i Inductive Science.' Positivists, 139. Powell, Baden, 4. mentioned, 26. his view of causation, 41. 208 INDEX. Powell, continued — his distinction between moral and physical causation, 82. his opinions tabulated, 103. his illustration of discovery, 147. Extracts from, 176. on voluntary actions, 179. Price, Dr., 107. Priestley, 19. R. Ragg, Thos., 19 Reid, Dr., 26. on causation, 33. and Beattie, 35. and Kant, 37. and Baden Powell, 41. Lewes on, 63. Mill on, 73. his views tabulated, 103. on invariable succession, 117. INDEX. 209 Reign of Law, 173. Relativity of law, &c, 93. S. Savage races, 121. Schoolmen, The, 27. Science, 26. Physical, 132. Mathematical, 155. Inductive, 155. Sciences of the unconditioned, 155. Scientific men, their usual idea on causation, 9. on partial causes, 137. prefer the term * conditions ' to ' causes/ 139. Secondary causes, 125. Simon, Dr. Collyns, 89. Space, 94. Spencer, Herbert, 79. Spirit, 52. 210 INDhX. Stewart, Dugald, 26. his compromise, 38. on the divinity of causation, 42. mentioned, 47. Lewes on, 63. Extract from, 101. his opinions exhibited, 104. Subjective view of causation, vii. Set also Necessity, subjective. Succession, Causation as. See Hume. Suction, 147, et scq. Sugar, experience of, 65 — 68. Sun, The rising of the, 63, 68, 74. Sweetness, 65, 66, 68. Syllogism, the, the conclusion of, 92. a petitio principii, 93. the axiom of, 122. illustrated, 130. compared to explanations in physical science, 132. the parts of, 141. INDEX. 21 i Synonyms, of cause, given by Hume, 34, whirlpool of, 119. T. Theism, 101. Thomson, Archbishop, viii., 19. Time, Participles of, 119. Torricelli, 148. his search for a middle term, 152. Tyndall, Professor, 19. U. Unconditionalness, of sequence, 74. of axioms, 123. of mathematics, 155. Unconditioned, The sciences of the, 155. 212 INDEX. Uniformity of nature, Bain on, 63. Mill on, 173. V. Vacuum, 151. Vitality, 128, 148. Volition, Baden Powell on, 41. Will as the cause of, 149. phenomenon of, 179. Voluntary agency, 84. W. Watch, motions of a, 83. Watch-force, 128, 149. Whewell, 20. his reply to Hume, 36. Lewes on, 63. INDEX. 213 Whewell, continued — his opinions on causation, 103. on Kant, 108. his antithesis of ' necessary ' and 6 contingent ' truth, 166. Will, 148. Words, confusion caused by, 114, 148. Wyld, Mr., 89. York, Archbishop of. See Thomson. By the same Author, (Second Edition.) Examination of Gillespie : (an Analytical Criticism of the Argument a Priori) . . . 2s. 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