THE LIBRARY OF THE UNIVERSITY OF CALIFORNIA IN MEMORY OF Frederick Slate Professor of Physics .-■ Digitized by the Internet Archive in 2007 with funding from Microsoft Corporation http://www.archive.org/details/comtemillspencerOOwatsrich COMTE, MILL, AND SPENCER PUBLISHED BY JAMES MACLEHOSE AND SONS, GLASGOW, publishers to the SlmbersttB. MACMILLAN AND CO., LONDON AND NEW YORK. London, - - Simpkin, Hamilton and Co. Cambridge, - Macmillan and Bowes. Edinburgh, - Douglas and Foulis. MDCCCXCV. COMTE, MILL, AND SPENCER AN OUTLINE OF PHILOSOPHY JOHN WATSON, LL.D. PROFESSOR OF MORAL PHILOSOPHY IN THE UNIVERSITY OF QUEEN'S COLLEGE KINGSTON, CANADA, AUTHOR OF " KANT AND HIS ENGLISH CRITICS" GLASGOW JAMES MACLEHOSE & SONS ^publishers to the Shtibersitg NEW YORK: MACMTLLAN & CO. 1895 <(?* K& PREFACE. By the use of a double title I have tried to indicate that my aim in this little work has been at once critical and constructive. The philosophical creed which commends itself to my mind is what in the text I have called In- tellectual Idealism, by which I mean the doctrine that we are capable of knowing Reality as it actually is, and that Reality when so known is absolutely rational. Such a doctrine seems to many to be presumptuous, contrary to the sober spirit of inductive inquiry, and based on an untenable theory of knowledge and conduct. My aim has been to show that these objections rest upon a misunder- standing of the idealistic position, at least as held by such writers as the late Professor T. H. Green and the present Master of Balliol. The general proof of Idealism must consist in showing that, while the determination of Reality by such categories as coexistence, succession, and causality, is capable of vindication so long as it is not regarded as ultimate, it becomes false when affirmed to be final, and that we are compelled at last to characterize existence as purposive and rational. There are various ways of enforcing this view. The method which I have followed here is to attempt to show that the ideas which lie at the basis of Mathematics, Physics, Biology, Psy- VI PREFACE. chology and Ethics, Religion and Art, are related to each other as developing forms or phases of one idea — the idea of self-conscious Reason. But, partly out of respect for their eminence, and partly as a means of orientation both for myself and for the students under my charge (for whom this Outline was originally prepared), I have examined certain views of Comte, Mill, and Spencer — and also, I may add, of Darwin and Kant — which appear to me inadequate. No apology seems needed for the publication at the present time of an Outline of Philosophy. There is no lack of Introductions to Psychology and Ethics, but, so far as I know, there is not in English any book which seeks to give in moderate compass a statement of Phil- osophy as a whole. I am well aware that there is danger in generalities, but there seems to be just now an even greater danger that Philosophy, in the large sense in which it was understood by Plato and Aristotle, should be lost in artificial divisions and in a mass of empirical detail. There is no doubt a vast body of material — biological, psychological, and historical — which will have to be reduced to system some day; but in the meantime there is a certain justification in a work like this, which tries to fix the main outlines of a complete system of philosophy. A teacher naturally prefers his own way of putting things, even when he agrees in general with another, but perhaps the following pages, which contain the substance of lectures delivered by the author to his own students, may be of some use to students and even to teachers in other Universities. Should any of my fellow-teachers think of using this Outline in the class-room, I may mention PREFACE. Vll that in my own practice lecturing is only a part, and perhaps the least important part of the work actually done. So far as practicable, it is my habit to insist upon a first-hand study by the class of the authors I criticise. Every year's experience confirms me in the conviction which I ventured to express some years ago in the Preface to my Selections from Kant, that lectures upon authors who have not been read, have very poor educational results. In preparing this Outline I have been most indebted to Green's Prolegomena to Ethics and the criticism of Mill contained in his Philosophical Works ; to Mr. Caird's Comte and Critical Account of the Philosophy of Kant; and, in a lesser degree, to the late Professor Stanley Jevons' articles on Mill's Logic in the Conte?nporary Review. University of Queen's College, Kingston, Canada, i gth Nov., 1894. CONTENTS. CHAPTER I. THE PROBLEM OF PHILOSOPHY. The Aristotelian and Platonic definitions of philosophy — These de- finitions explained — Why it is better not to define Philosophy as a "science" — Philosophy and the sciences — Mathematics from the point of view of eminent mathematicians like Riemann, Helmholtz, Clifford, and Sylvester — Mathematics as J. S. Mill views it — Explanation of Mitt's view of mathematics — ( I ) Mathe- matics not an exact science — It rests upon definitions — Which rest upon experience — No real lines, circles, etc. — Discrepancy between geometrical definitions and " sensibles " — (2) Mathe- matics not a necessary science — It rests upon induction — No accumulation of instances can warrant a must — Imagination cannot re-present what has not been presented — Experience can never warrant a conclusion wider than itself — Nothing impossible in straight lines enclosing a space, or in 2 + 3 = 6 — Apparent necessity of mathematical propositions therefore explicable on the principle of "inseparable association" — Mill's view may be put in a sentence: "Mathematics is not an exact or necessary science, but states what we have found to hold good within our limited experience, its apparent necessity being due to confusion between a necessity in the nature of things and the subjective necessity of inseparable association " — Mill's view of mathematics will be considered later — (1) The mathematician never thinks of asking Mill's question — Explanation of the mathematician's view — He has no theory of knowledge, and never asks Plato's question — CONTENTS. Mill and all philosophers have asked that question — Hence two questions : {a) What do we know about the number and magni- tude of things? {b) What is the nature of mathematical know- ledge? — (2) The absolute opposition of knowledge and the object of knowledge cannot be maintained — Mill's "round square" means that there is no absolute fixity in the quantitative relations of things — Hence we are forced to inquire into the possibility of knowing existence in its ultimate nature — If real existence cannot be known, real knowledge is impossible — Can we not show that we are capable of knowing reality as it truly is ? — This is genuine humility, though it sounds like arrogance — (3) How mathematics originated — It is not a collection of detached propositions, but an organized system. — Mill is well aware of this, and the first lesson of students is to get at Mill's point of view — Familiar illus- tration of that view — Summary: (1) Mathematics directs its attention to the objects of knowledge, philosophy to the nature of knowledge : (2) mathematics assumes that those objects are absolutely real, while philosophy inquires into the truth or false- hood of that assumption : (3) philosophy admits the internal consistency of mathematics, but refuses to admit without criticism that any of its conclusions are true of things as they are in their ultimate nature — The physical sciences assume that no change ever takes place which is not due to some cause — Illustration (taken from Mill's Logic): "A body is found to assume a crystalline form : what is the cause of the change?" — No sensible man ever did, or ever will, question so obvious a fact — Hume thought it impossible to show that there is any necessary con- nection in nature — Explanation of Hume's view of Causation — (1) Another proof (if any were needed) that there is something in Philosophy — Hume's sceptical doctrine evidently rests upon his peculiar theory of knowledge — Perhaps Locke, Hume, and even Mill may be wrong — (2) Obviously, we cannot tell what is the nature of knowledge without determining at the same time the nature of real existence — Illustration from Shakespeare's Mid- summer Night's Dream — (3) We now see that Philosophy has to examine the principles assumed by such sciences as physics and chemistry — Philosophy admits that, in whatever sense any one of the propositions which sciences contain is true, all the rest are true — Philosophy may (provisionally) be divided into — (1) Philosophy of Nature, (2) Philosophy of Mind, (3) Philosophy of God, 1 CONTENTS. XI CHAPTER II. PHILOSOPHY OF AUGUSTE COMTE. Explanation of Comte's view of the philosophical doctrine known as the Relativity of Knowledge — His "subjective" and "objective" synthesis — In simple language he means: "Man must be con- tent to gain such a limited knowledge of the world and of human life as will enable him to make use of nature for the perfecting of society" — Comte's own intellectual development is partly explained by his relation to Rousseau and the French Revolution — Sum of Rousseau's teaching: "All the evils of man are due to society, and he can reach perfection only by being freed from all restraint and allowed to follow his natural in- stincts " — Even in the economic region this form of individualism was not justified of its children — What Comte learned from St. Simon — Comte's three stages, theological, metaphysical, positive — Fetichism, Polytheism, and Monotheism — Metaphysic — Physical science — Extract from Cours de Philosophic Positive — What has been given a mere hint of the profound philosophy of Comte — His social philosophy the most valuable part of his system — Formulation of what is (unfortunately) known as Agnosticism — Our question : Is such a doctrine consistent with itself? — Ambiguity in the doctrine as expressed by Comte — (i) It some- times means for him that the only true knowledge is of laws not of causes — Illustration from the first book of the Iliad — How Lewes and Comte deal with Homer— -In his main contention Comte is right ; it is no explanation of a pestilence to say that an offended God sent it in his wrath, or that it is produced by a "poisonous principle" — But Comte does not see that this does not banish religion or even philosophy — (2) Comte also assumes that the human mind is necessarily limited to the knowledge of phenomena, and is conscious of its own limitation — The conceit of knowledge most vigorous in those who have recently learned a few elementary truths — No man ever supposed we have com- plete knowledge (we take the liberty of excluding maniacs) — The question is : Has man a knowledge only of things as to his finite mind they seem to be? — Comte's limitation of knowledge to phenomena implies two mutually exclusive realms ; think out for yourselves what this means ; Comte has not done so — Kant's remark about dogmatism and scepticism worth noting — (a) Are Xll CONTENTS. there two spheres of existence f — Surely that is nonsense — {b) After all a phenomenon is merely an appearance — Plato's 5d£a helps to illustrate Comte — Comte's doctrine implies that there are two distinct kinds of intelligence — This seems to be greater nonsense still : it at once affirms and denies the consciousness of limitation, which is self- contradictory — Comte's doctrine of the relativity of knowledge plausible because knowledge is only in its infancy — But knowledge cannot consist in adding particular to particular — Is any knowledge the apprehension of particulars? — A knowledge of mere particular is a contradiction in terms — Simple illustration from seeing a piece of sugar — We cannot perceive, or even imagine, space as a whole, but we can think it as one — Besides the particular aspect of an object there is always implied a certain universal aspect — Bearing of this simple fact on the doctrine of the relativity of knowledge — Illustration from the law of gravitation (Comte's own instance), - - - -21 CHAPTER III. PHILOSOPHY OF NATURE. GEOMETRY. Mathematical knowledge is the science of magnitude — It is usually sup- posed to deal with Space and Motion, though we might add Time — In that case we should have three sciences: Geometry, Kinematics, and Chronometry — Our object therefore to inquire whether geo- metry is a real science of nature — We assume space to be of three dimensions only — Mill says that geometry is not a science — (1) Ex- amination of Mitt's view of geometry— 'His view re-stated, but more in detail — Mill here takes it for granted that we have a knowledge of the actual properties of real things : he is not contrasting a reality unknown to us with a reality as we suppose it to be — Kant takes a different view, holding that to an infinite in- telligence the geometrical properties under which objects present themselves to us are seen to be unreal — Mill's view is truer than Kant's — Euclid would have been unable to understand Mill — The mathematician, while aware that points, lines, etc., are not sensible objects, does not suppose that he is dealing with mere fiction of abstraction — What are "real things?" — Mill's answer — Objections to it — (1) Our perception of the CONTENTS. Xlll position and figure of a sensible object is not derived from sensation — Yet Mill must hold that the geometrical properties of bodies are somehow given us in sensation — Perhaps a number of sensations may be so associated as to appear extended — Hume thought so — Illustration of Hume's view from the perception of the edge of a desk — Conclusion : No geometrical property of a sensible object can be derived from any number or variety of sensations, nor from any association of sensations — An "ultimate inexplicability " a mere refuge of the destitute — What is an '"object?" — We shall be helped to an answer by considering how we come to have a perception of the position of a particle of matter — If space were a sphere with a definite boundary we might locate the particle, but space has no boundary that we can perceive — Are there any purely individual particles? — In the perception of objects as in space, their mutual externality is implied — Hence it involves a peculiar intellectual form of con- sciousness — Now we are in a position to estimate the value of Mill's view of geometry — In a sense every one is an un- conscious mathematician — Geometry does not say that the edge of any object is straight — (2) Mill's denial of the accuracy of geometry has no real foundation; but perhaps the propositions of geometry are not universal and necessary — Detailed examina- tion of Mill's view — Conclusion : The nature of our consciousness is such that any experience of the enclosure of a space by two straight lines is an impossible experience— The author's own view, 43 CHAPTER IV. PHILOSOPHY OF NATURE {Continued). ARITHMETIC AND ALGEBRA. Statement of Mill's Theory of Numbers — He has two main objects in view : (a) to show that arithmetic and algebra rest upon induc- tion from sensible observations ; (b) to prove that their supposed accuracy and precision arises from their hypothetical character — (1) Mill does not criticise the a priori view, but it might be put thus : it rests (he says) upon induction from sensible observations — The view of the "nominalists" — Mill objects that Nominalism virtually denies the theory of numbers to be based upon inditction y XIV CONTENTS. and he is right — What, then, has led the nominalist to suppose that there are no general propositions in regard to numbers? — The reason is that in arithmetical and algebraic operations we deal with symbols of sensible objects — "Ten" represents an actual fact of sensible observation — Arithmetic differs in this respect from geometry — (2) Examination of Milt's Theory of Numbers, - 76 CHAPTER V. PHILOSOPHY OF NATURE (Continued). THE PHYSICAL SCIENCES. Mill seeks to distinguish the processes by which generalizations of science are reached from various logical processes confounded with them — (1) Induction not the mere registration in language of a given number of individual observations — (2) Certain mathe- matical processes not inductive — (3) Description of a set of observed phenomena not inductive — Mill's definition of an induc- tion — Examination of Mill's definition — Causation — Three kinds of laws of nature — The ground of induction is the law of causation — Definitions of a "cause" — Examination of Mill's definition of a cause as an "invariable" and "unconditional" antecedent — A cause is an unchangeable fact — Distinction drawn by Mill between permanent and changeable causes irrelevant and misleading — This introduces new problem, 86 CHAPTER VI. PHILOSOPHY OF NATURE (Continued). BIOLOGICAL SCIENCE. Third problem of philosophy of nature — Like Aristotle we commonly distinguish between organic and inorganic beings — The distinction is denied by two sets of thinkers: {a) those who " level down"; [b) those who " level up " — Therefore we must not assume it — Is there a biological knowledge of nature? — Spencer defines life as "the power of continuous adjustment of internal relations to external relations" — Perhaps a better definition is " the principle by which a being maintains its individuality by a continuous adaptation to CONTENTS. XV external conditions " — The individuality of a living being is dependent upon the organization of its parts, as Aristotle saw — Where there is little differentiation of organs, it is hard to say whether there is one being or several — Living beings also produce other individuals of the same general type as themselves — Appar- ently, therefore, we must apply to them a different conception, viz., final cause — Some, however, hold that the theory of develop- ment, as enunciated by Darwin, is incompatible with a teleological explanation of the world — Darwin himself assumes a line of demarcation between organic and inorganic beings — Origin of Species illustrated by Alfred Russell Wallace's instance of the rook and crow — Darwin's view is that species are not immutable — (i) Struggle for existence — (2) Principle of heredity — The doctrine extended to man by Darwin {Descent of Man) — Animals said to exhibit most, if not all, the mental and moral faculties, and even to have the rudiments of religion — Lowest races of man very little superior to higher animals — Darwin's view implies (1) a continuous development of intellectual and moral qualities from lower animals up to savages, and from savages up to civilized man ; (2) that this development may be explained by the law of natural selection — As non-scientific men, we must assume the truth of Darwinism as a scientific theory — The principle of natural selection, as Huxley shows, overthrows the old conception of design as formulated by Paley — But is it inconsistent with a philosophical conception of teleology ? — Darwinism presupposes ( 1 ) that the laws of inorganic nature are inviolable ; (2) that in each living being there is a tendency or impulse to maintain itself and to continue its species ; (3) that the variations in the several parts of the living being are consistent with the impulse to self-maintenance and race-mainten- ance — Do these assumptions not presuppose some form of tele- ology? — Darwin, as an unsophisticated scientific man, was unaware that Paley's conception of design was obsolete — Reasons for maintaining a philosophical teleology— (1) If there were no harmony between an organism and its environment, the organism could not exist at all — (2) If there was no self-maintenance and the tendency to race-maintenance, there would be no "struggle for existence " — (3) The tendency to organization implies purpose of some kind — These considerations do not prove teleology, but may show that it is not absurd, 101 XVI CONTENTS. CHAPTER VII. RELATIONS OF BIOLOGY AND PHILOSOPHY. Re-statement of Darwin's view of man in his relation to the animals — Darwin certainly light in holding that the higher animals dis- play elementary intelligence — What follows ? — Leibnitz saw phil- osophy further than Darwin — Every real thing he holds to be an individual substance or to have a unique existence of its own separating it from all other existence — All existence is discrete — The Atomists made the mistake of supposing that there are real material atoms existing in space, whereas there is no real space (or time) — The "confused" perception of monads — Leibnitz' doctrine suggests how the Darwinian conception must be com- pleted — Tyndall and Haeckel saw this — Darwin really holds two radically different views of the world without knowing it — Tendency of the letter of Darwin to abolish the distinction between intelligence and unintelligence — Rigid application of the theory of natural selection to man yields this result — (a) No freedom of knowledge —(6) Nor can there be any freedom of action — Right and Wrong names for the pleasure of approbation and the pain of disapprobation — Darwin's view implies that mental and moral qualities are free of natural characteristics, received by inheritance and called out by the reaction of the organism on the environment — Natural selection cannot explain the fact of knowledge as it exists in man — Meaning of curiosity, interest, and attention — Knowledge, even as it existed for primi- tive man implied (i) the consciousness of a distinction between the apparent and the real ; (2) the capacity of apprehending the real in virtue of intelligence — Hence the attempt to reduce knowledge to the mere flow of impressions in a subject that passively receives them, makes even the simplest knowledge un- intelligible — But we must be careful not to fall into Descartes' mistake of supposing that there are "innate conceptions" — (1) Suppose the mind to be absolutely separated from all objects, and it has no conceivable nature — Descartes saw this, hence he fell back upon the view that there are certain conceptions which the mind has by its very nature, e.g., that of God — This view untenable — To say, e.g., that a child is a pure potentiality is to use language that has no precise signification — (2) Descartes' other assumption, that there is an apprehension CONTENTS. XV11 by the mind of what is external to it, is equally inadmissible — For him there is (logically) no material world — Proof of this statement — The Cartesian doctrine of the separation of mind and matter therefore leads to the denial of all knowledge — Conclusion : Existence cannot be divided into two antithetical halves — So far as we have knowledge we are freed from any unintelligible force acting externally upon us — Final objection to the principle of natural selection as an explanation of the knowledge of man — (i) Darwin's "selfish tendency or impulse" is neither selfish nor unselfish but non-selfish — The fact is that man, grasping the law of his environment, and grasping the law of his own nature, turns the environment into the means of realizing his inchoate ideal — (2) Darwin's ** social impulses " are neither selfish nor unselfish but super-selfish — For (a) man is by his very nature social (as Aristotle says), and forms part of an organism in which the good of each is bound up with the good of all ; and therefore (b) in submitting himself to the law of reason he gains true freedom, 123 CHAPTER VIII. PHILOSOPHY OF MIND. Intelligence and will develop pari passu — Apparent conflict between the idea of man and the idea of the world — Spencer says that every philosophy must assume the absolute distinction of "subject" and "object" — His view explained — The plain man accepts it as palpably true, because he does not understand it — Spencer's problem is : Granting the opposition of subject and object, how does the subject come to have a knowledge, or an apparent knowledge, of the object? — His derivation of "relation of sequence and relation of coexistence" {i.e., of time and space) — Parallelism of "feelings" and nervous, changes — Apparently simple feeling really complex — The subject thus reducible to units of feeling, the object to units of force — Objection : How can the subject apprehend the object? — Spencer answers that we do not know reality in its absolute nature — Hence we can think of matter only in terms of mind, and of mind only in terms of matter — Spencer's five propositions — All five untenable — (1) Examination of the absolute opposition of subject and object — It involves a confusion between {a) the separation and {6) the logical distinction of subject XV111 CONTENTS. and object — A subject conscious only of its own states would never become conscious of an external object — Why the separation of subject and object seems indubitable — (i) The objective world is not dependent upon anybody's knowledge — (2) It existed prior to the subject — Similarly, the subject has different properties from the object — The answer of Philosophical Idealism — {a) The supposed "separation" of the object rests upon an untenable dualism — Inorganic things are not independent of one another — Nor are organic beings — Nor can we find Mind existing inde- pendently—The objective world is therefore self-conscious — {b) Scientific evolutionists deny the identity of subject and object, because the objective world existed before the subject — But (1) this assumes that "subject" must mean this or that individual subject — (2) It really abolishes the subject — The category of "cause" falsely applied to the relation between existence as a whole and its modes — Summary of the idealistic view — Comparison of Scientific Evolutionism and Philosophical Idealism — Self- determination in knowledge — Self-determination in action — Criticism of Spencer's second proposition, that the object is for us a complex of feelings, the subject a complex of movements, - 150 CHAPTER IX. MORAL PHILOSOPHY. IDEA OF DUTY. (1) "Duty" implies an opposition of an ideal world and the actual world — (2) It also implies an opposition between a law of reason and a lazv of inclination — Why the opposition seems absolute — Analysis of desire — The contrast of the ideal and actual self not absolute — Carlyle [saw this — The Stoical conception of "reason" — How far it is true — The abstract idea of duty, and particular duties — No " natural law" in the "spiritual world " — " Renuncia- tion " not the last word of morality — No real opposition between appetite and reason — "Duty" may be defined as " The identifi- cation of the actual self with the ideal self, by a particular determin- ation of it" — Kant holds that "Duty" implies (1) an absolute law — (2) self-determination by this law — His reasons for maintaining that action done from desire is contrary to duty — Objections to the form of Kant's doctrine — His analysis of the " categorical impera- tive " — Distinguishes between (1) duties of imperfect obligation, CONTENTS. XIX and (2) duties of perfect obligation — His three formulae — Desire for pleasure involves (1) a particular object or end, (2) conceived as desirable for me, (3) which is distinguished both from the object and the subject — Kant is therefore wrong in assuming that desire for an object is desire for pleasure — Problem of morality is : What is the distinguishing characteristic of the object we ought to desire — The solution consists in each individual conceiving of himself as a member in a social organism — Historical proof of this — Strength and weakness of Kant's ethical theory, 195 CHAPTER X. MORAL PHILOSOPHY {Continued). IDEA OF FREEDOM. The problem of freedom has the same root as the problem of duty — The solution turns upon our view of "motives" — "Deter- minism" does not explain the transition from desire to action — What a "motive" really is — Meaningless to say that "the strongest motive" leads to action — There is no "liberty of indifference " — Kant's view of freedom — He holds that in willing the law of reason man is free — This would make man irre- sponsible for doing wrong — How the contrast of freedom and necessity arises. THE SUMMUM BONUM. Hedonist view of the summum bonum — Kant distinguishes between (a) the chief good and {b) the complete good — Statement of his doctrine — His "postulate" of immortality— His moral proof of the being of God — Objections to his argument for immortality — His proof of the being of God must be revised, - - - 235 CHAPTER XI. MORAL PHILOSOPHY {Continued). PHILOSOPHY OF RIGHTS. Self-realization is exhibited in the sphere of individual rights — Kantian distinction of the sphere of rights from the sphere of morals — Rights (1) belong to persons, not to things, (2) are held against all other persons, (3) are reciprocal — Rights dis- tinguished by Kant as {a) rights of property, {b) right of con- tract, {c) personal rights — The State based upon an "original XX CONTENTS. contract "—Ultimate form of the State a Republic— All class legislation wrong — Kant's view of penal justice — Basis of Inter- national law — Articles for an everlasting peace — Kant's doctrine of rights repeats his opposition of desire and reason in a new form — (i) His theory of society not self- consistent — It virtually admits that society is the basis of rights — Imperfection of his view of the family and the State — (2) Kant's opposition of law and morality untenable — (3) His view of punishment inadequate — Kant's system of moral virtues — Two ends which we ought to realize : (1) our own perfection, (2) the happiness of others — Distinction of "obligations of right" and "obligations of virtue ' — The three characteristics of duty — Duties to ourselves — Duties to others — Kant wrong in opposing these, - - - - 257 CHAPTER XII. PHILOSOPHY OF THE ABSOLUTE. RELIGION. Kant separates Morality from Religion — His interpretation of "Original Sin " — How he treats the Pauline doctrine of Redemption — Kant's conception of evil in advance of the doctrine of the Stoics — But his doctrine must be reinterpreted — He has not got rid of Individualism — No opposition of outer and inner law — Morality not independent of Religion. ART. Art an objective presentation of the ideal — Kant distinguishes between the beautiful and the sublime — An aesthetic judgment rests upon a disinterested contemplation of beauty — The sublime due to the disharmony of the object as perceived and as conceived — Two forms of the sublime : mathematical, or that which is too great in magnitude to be pictured by the imagination ; and dynamical, or the feeling which arises in presence of the forces of nature — Beauty excludes the idea of definite purpose — The products of art a symbol of moral ideas — Value of Kant's conception of beauty — Examination of Kant's affirmations (1) that beauty rests upon feeling; (2) that it involves thought, 282 ERRATUM. Page 76, line 9 from foot, delete "not" after "do.' COMTE, MILL, AND SPENCER. CHAPTER I. THE PROBLEM OF PHILOSOPHY. "The feeling of wonder," says Plato in his dialogue the Theaetetus, 1 "is the genuine mark of the philosopher; for philosophy has its origin in wonder; and he was no bad genealogist who said that Iris is the child of Wonder." Those who are destitute of this feeling he calls the "uninitiated," who "will not admit that there is any reality but that which they can take hold of with their hands." Philosophy, in other words, at first exists as an immediate feeling or conviction, that things in their real or ultimate nature are not what at first they seem to be. It looks beyond the shows of things to a reality that is felt to be implied, although it is not yet grasped by the mind as a definite object, the nature of which can be expressed in precise and definite language. We can say, negatively, that reality, as it is behind the veil of sense, is not that which we see with our eyes and grasp with our hands; but at first we cannot apply to it any definite 1 Theaetetus, 155 CD. A 2 COMTE, MILL, AND SPENCER. predicates. Wonder may therefore be said to be a self- contradictory feeling. It denies that what we know is real, and yet it cannot tell us what reality is. We are conscious of our ignorance, and yet we claim to know that we have no knowledge. The man of hard common- sense, the " uninitiated" as Plato would call him, can therefore make out a very good case for his rejection of philosophy as a useless quest for what can never be known. Like Mephistopheles in Goethe's Faust, he prides himself on taking things as they are, and refusing to follow the lead of mere ideas. Plato, on the other hand, finds in the vision of the ideal the true reality. Those who are content with the first or unreflective view of things he likens to men confined within a dark under- ground cave, with a narrow opening towards the light, who see only the shadows of things thrown on the wall as they are carried past the mouth of the cave. In this con- viction of the reality of the invisible and intangible, Plato is at one with those who believe that in art and religion there is revealed something truer than all that we can directly perceive with our senses. Poetry and religion, as well as philosophy, claim that there is a contradiction between what seems and what is, and that true reality can be revealed only to the higher vision. He who is satisfied with the first or unreflective view of things need never hope to know reality as it truly is. There is a divine unrest which compels us to search for the hidden truth of things. As Aristotle says, it is in the effort to be rid of ignorance that men have been led to construct philosophies. The object of philosophy is therefore to search for the first principles of things; to discover, if that be possible, what is as distinguished from what seems THE PROBLEM OF PHILOSOPHY. 3 to be. Hence Aristotle well says that philosophy has to do with existence as it really is. It must be observed, however, that philosophy cannot be defined as the science of reality. For it may be that :he ultimate nature of reality cannot be discovered by man. As a matter of fact there is at the present time an influential class of thinkers who hold that man is so constituted that he never can have a knowledge of ulti- mate reality. Human knowledge, they maintain, never reaches beyond phenomena or appearances. Much may be learned about the nature of phenomena, but nothing about the reality which lies behind phenomena. Carry your investigation to the extreme limits of the phenomenal world; lay bare the laws which govern the minutest and the most distant object accessible to our observation, even when it is aided by the most delicate instruments, and you are as far as ever from the ultimate nature of things. The progress of human knowledge does not enable us to break through the charmed circle within which we are compelled to move, but only serves to bring into bolder relief the great unknowable reality against which the bounded circumference of the known world becomes visible. I hope to show that this doc- trine of the unknowability of ultimate reality cannot be accepted, but manifestly we cannot, in the face of such a denia], assume that reality as it truly is can be known by man. If it can be established that philosophy leads to the knowledge of ultimate reality, we may then define it as the science of first principles ; but, in the meantime, we must be content to say, that it is the search for first principles. To understand all that is implied in this definition we 4 COMTE, MILL, AND SPENCER. must make clear to ourselves the distinction between philosophy and other branches of human knowledge, and especially between philosophy and science. None of the sciences seems to rest on so firm a foundation as the science of mathematics. That 2 + 2 = 4 ; that the straight line between two points is the shortest that can be drawn ; that the interior angles of a triangle are equal to two right angles : such propositions as these are usually assumed to be absolutely true and to admit of no possible exception. The mathematician is therefore accustomed to assume that the propositions of his science are demonstrably true, and that no con- ceivable advance of knowledge can ever upset them. He does not speak with stammering tongue, as Aristotle says of the early Greek philosophers, but announces his results with perfect assurance of their truth. And yet there is a question which mathematics has not raised, and without resolving which the absolute truth of its conclusions cannot be established. It is assumed by the mathematician that the objects which we number and measure could not be of an entirely different nature from what they are for us. When it is said that a straight line is the shortest distance between two points, it is taken for granted that every possible space must be, like ours, of three dimensions and absolutely devoid of curvature. It is further assumed that what is affirmed of lines, triangles, and circles in the abstract is equally true of real lines, triangles, and circles. Now both of these propositions have been denied. It is maintained by such eminent mathematicians as Riemann, Helmholtz, Clifford, and Sylvester, that our space of three dimensions is only one of an infinite number of possible spaces, and that, THE PROBLEM OF PHILOSOPHY. 5 were our experience wider, we should find that our Euclidian geometry is of very limited and partial applica- tion. It is further maintained by so eminent a thinker as John Stuart Mill, that the propositions of arithmetic and geometry are not absolutely true even in their application to the sensible reality which we are capable of knowing. The only source of our knowledge, it is held, is experience. No real knowledge can be obtained from the mere exercise of our own minds. To get at reality at all we must go to experience. But experience can never assure us that what has presented itself to us in a certain way might not possibly appear in an entirely different form. Hence, mathematics, if it is a science at all, must rest upon the facts of experience. Let us see the conclusion to which this doctrine of Mill naturally leads. In the first place, Mill maintains that the supposed exactness and necessity of mathematics is a delusion. (1) Mathematics is not an exact science. What is the foundation of the science of geometry? Plainly the so- called definitions. But upon what do these definitions themselves rest? They cannot be self-evident, because all that a definition can tell us is the meaning attached to certain terms. Definitions are purely verbal, and prove nothing in regard to the reality of that which is defined. I may define a centaur as a being half man and half horse, but it does not follow that a centaur exists in rerum natura. Similarly, I may define a circle as a figure the radii of which are all equal, but it does not follow that a real circle corresponding to my definition actually exists. To determine whether the definitions of geometry are true or false we must have recourse to experience. Now, when 6 COMTE, MILL, AND SPENCER. we go to experience, we find that there are no real things corresponding to our definitions. Where in nature shall we find a point without magnitude, a line that is perfectly straight and without breadth, a circle with all its radii exactly equal, a square with all its angles perfectly right ? An actual sensible point is a surface, a real line is the edge of a sensible object, and such a line is never per- fectly straight; the surface of a thing is always more or less uneven. There is no doubt that geometry deals with real things, but the discrepancy between its definitions and sensible realities shows that it is not dealing with those things as they truly are, but only with a partial aspect of them. We are therefore compelled to conclude that geometry is r not an exact science. (2) Nor is geometry a necessary science. Like other sciences it rests upon induction, or, in other words, it states in a general form what experience has shown us to hold good in a number of particular instances. No accumulation of such instances can warrant us in saying that things must be as our experience has shown them to be. It is true that geometry draws its conclusions from figures that are not directly perceived, but are only represented in imagina- tion. But imagination can never represent what has not been presented beforehand in perception. When I have once perceived two straight lines meet and then diverge, I can imagine them diverging as far as I please, but I can never imagine them as again meeting. It is this peculiarity of our imaginative faculty which explains the apparent necessity of geometrical propositions. We are unable to imagine diverging lines as meeting, however far we may prolong them, because our whole experience contradicts the supposition. We have at one time seen THE PROBLEM OF PHILOSOPHY. 7 two straight lines diverging from a point, and at another time we have seen two straight lines converging, but we have never seen two straight lines at once diverging and converging. The supposition is excluded from the nature of our experience. But it must be carefully observed, that experience can never warrant a conclusion wider than itself. There is nothing impossible in the supposi- tion that two straight lines should enclose a space. The supposition is contrary to our experience, but it cannot be shown to be contradictory of the nature of things. There is nothing contradictory in the notion that 2 + 3 = 6. Were our experience wider we might meet with objects of a different nature from those with which we have come in contact. Hence, in the second place, Mill ex- plains the apparent necessity of mathematical propositions on the principle of inseparable association. All that is meant by the term "inseparable association" is, that two ideas which have always gone together in our experience become so closely united that, having no contrary experi- ence, we cannot conceive of them as separated. Such ideas are those which are combined in a mathematical proposition. Their apparent necessity is merely the sub- jective necessity of uniform association. Ideas that have never been experienced apart we naturally suppose to be inseparable in nature as they are in our experience. An instance of inseparable association we have in the pro- position that two straight lines cannot be thought of as enclosing a space. We cannot say that two straight lines cannot enclose a space, but only that we cannot think of them as enclosing a space. The only reason we have for our affirmation is that we have had no experience of straight lines enclosing a space, which is a very different 8 COMTE, MILL, AND SPENCER. thing from saying that such an experience is impos- sible. The general conclusion, then, is that mathematics is not an exact or necessary science, but merely expresses what we have found to hold good within our limited experience, its apparent necessity being due to the natural confusion between a necessity in the nature of things and the sub- I jective necessity of inseparable association. An examination of Mill's doctrine of mathematics cannot be profitably entered upon at present. In the meantime we may learn from it something about the relations of philosophy and science, (i) The first thing to be noted is, that the question which Mill asks is one which the mathematician as such does not think of asking. The mathematician usually assumes that the conclusions \\ which he reaches are absolutely true, and can be applied J in the numbering and measuring of any object that can 1 ever come within the range of his experience. His assumption, stated generally, is, that we can have a real knowledge of the number and magnitude of things. It is true that a mathematician may be aware that there is a further problem which he has not investigated, but it is at least convenient, and conduces to clearness, if we say that mathematics assumes the possibility of real know- ledge, leaving to philosophy the task of inquiring into the possibility and the conditions of knowledge. The science of mathematics, then, as we may say, puts for- ward no theory in regard to the nature of knowledge. Whether its propositions apply only within the limited range of objects as they appear to man, or hold good of all possible objects, is for the mere mathematician a matter of indifference. The question, What is know- THE PROBLEM OF PHILOSOPHY. 9 ledge? either has never occurred to him, or he sets it aside as irrelevant to his special investigation. He may be said to be in the attitude of the youthful Theaetetus, in the dialogue of Plato to which I have already referred, who, when asked by Socrates, What is Knowledge ? answers that "Knowledge consists of all the things we can learn from Theodorus ; geometry for instance." Mill, on the other hand, and the same thing is true of all philosophers, has become aware that the true meaning of Socrates' question is, What is implied in the act of knowledge? What constitutes knowledge? In seeking to answer this question, Mill is led, like the Greek Pro- tagoras, as represented by Plato, to say that " Knowledge is sensible perception." We may say, then, that mathe- matics seeks to answer the question, What do we know about the number and magnitude of things? while philosophy tries to answer the question, What is the nature of mathematical knowledge? Let us call the first problem scientific and the second philosophic. It would then seem that science directs its attention to the objects of knowledge, philosophy to the nature of knowledge itself. (2) This seems to give us a clear distinction between science and philosophy. But on closer investi- gation we find that" the absolute opposition of knowledge and the object of knowledge is one that cannot be maintained. If Mill is right, we must distinguish between the objects with which mathematics deals, and those objects which lie beyond the range of possible experience, or rather, those objects which perhaps lie beyond that range. For it is held that a time might come when the whole fabric of our present mathematical knowledge would be completely upset. We cannot tell, on Mill's theory, (h IO COMTE, MILL, AND SPENCER. what a day or an hour might bring forth. Suddenly our experience might completely change its complexion, and diverging lines might be found to enclose a space, parallel lines might meet, squares might appear round, and straight lines curved. " To conceive a round square," says Mill, " would only be to conceive two different sensations as produced in us simultaneously by the same object; and we should probably be as well able to conceive a round square as a hard square, or a heavy square, if it were not that, in our uniform experience, at the instant when a thing begins to be round it ceases to be square, so that the beginning of the one impression is inseparably associated with the departure or cessation of the other." 1 It is here implied that there is no absolute fixity in the quantitative relations of things. Now this means that there are infinite possibilities of experience such as we cannot even imagine with any definiteness. A world in which all our mathematical conceptions were completely reversed is so different from anything we can figure to ourselves, that we can only say, generally, that it would be totally unlike anything of which we have had experi- ence. The question is therefore forced upon us, whether we can admit even the possibility of such a world. So long as we admit its possibility, it is plain that we cannot claim to have any knowledge of things as they truly are. Now this conclusion is so contrary to what mathematics and other sciences are accustomed to assume, that we simply must inquire into the possibility of knowing existence in its ultimate nature. The nature of know- ledge is thus bound up with the nature of existence. If real existence cannot be known, real knowledge is im- 1 Mill's Examination of Hamilton, ch. vi., p. 68. T I I. Xt 77 THE PROBLEM OF PHILOSOPHY. II possible. Philosophy, therefore, must seek to determine the relations of knowledge and existence. If it could be shown that Mill's theory of knowledge is false, there would be some presumption that his tacit denial of the knowability of real existence is also false. But there is no other way of coming to a satisfactory conclusion on the question, than by entering into a thorough investiga- tion of the relations of knowledge and reality. It is vain to say that we cannot help believing in the reality of knowledge. That is true enough, but many things that men have firmly believed have turned out to be mere prejudices. There is no possible way of satisfying doubt but by facing it. To dismiss a problem without inquiry leaves in the mind an uneasy consciousness that the sceptic may after all be right. Philosophy, just because it seeks to determine the ultimate nature of things, can never be satisfied with anything short of truth that may be verified by the unbiased exercise of reason. Now if we could only show, by an inquiry into the relations of knowledge and existence, that we are capable of knowing reality as it truly is, or, in other words, that in whatever sense mathematics is true of any existence it is true of all possible existence, the sceptical conclusion of Mill would be proved untrue. It cannot be denied that at first sight there seem to be insuperable difficulties in the way of such a proof. To say that man can, so to speak, contemplate existence from the point of view of omniscience seems to be the extreme of presumption. It must be observed, however, that it is not less pre- sumptuous to say that man cannot know things as they really are. For how can any one say that we do not know real existence unless he has some knowledge of I 12 COMTE, MILL, AND SPENCER. what real existence is? Presumptuous or not, philosophy cannot avoid the question : Is the knowledge of real existence possible? Thus the inquiry into the nature of knowledge is necessarily bound up with the inquiry into the nature of existence. (3) We may now see, in some degree, how philosophy is related to the science of mathe- matics. It is the nature of the human mind to pass from one stage of activity to another. The science of mathematics had its origin in the desire to determine with accuracy the number and magnitude of objects in space and time. In a very gradual way more and more perfect methods of measurement have been discovered, until mathematics has now reached the dimensions of a vast body of closely connected propositions. There is no manner of doubt that all those propositions hang closely together, and that to deny any one of them is to deny them all. The science of mathematics, in other words, is not a collection of detached propositions, but an organized system in which every part is connected with and dependent upon every other part. Now you will observe that Mill does not in any way question the coherence of mathematical propositions among themselves. If a mathematician advances a new proposition, it is open to another mathematician to say that it is untrue, on the ground that it is inconsistent with what has been already established, or that there is some flaw in the reasoning by which it is sought to be proved. But this is quite a different class of objection from that which Mill makes when he denies the accuracy and necessity of mathematics. Mill not only grants the internal co- herence and organic unity of the whole body of mathe- matics, but his argument expressly appeals to its internal THE PROBLEM OF PHILOSOPHY. 13 coherence and unity. Geometry, as he points out, is a science only if its definitions are true, because all its other propositions rest upon and presuppose the truth of those definitions. Mill's objection is not to the inner consistency of mathematics, but to its claim to formulate the relations of all possible existence. If it is true at all, all its propositions are true; if it is false at all, all its propositions are false. The truth or falsehood of mathematics is thus established, so to speak, at one stroke. Now, we may learn from this what is the relation of philosophy to mathematics. The mathematician, in Mill's view, is like a man who starts on a journey with no other end in view but to see what objects of interest may be found by the way. Every step he takes brings him in sight of a new object, and he goes on continually adding to what he calls his knowledge. By and by some one suggests that the objects in which he has been so interested, and which he has been at so much pains to observe and systematize, are due to an illusion of his own senses, and have no other reality than for himself and those like himself. This is a new point of view, and one which, once presented, cannot well be dismissed without inquiry. The mathematician may indeed say, that whether the objects on which he has expended so much labour are realities or illusions, it is worth while finding out their nature. Illusions they may be, but there is a wonderful coherence in them. But, granting this, he can never take quite the same view of them as before. His implicit faith in their reality has been shaken. He is doubtful whether they are realities or only appearances. Philosophy, then, does not deny 14 COMTE, MILL, AND SPENCER. the reality of mathematics so far as phenomena are con- cerned, but it raises the question, whether the laws of phenomena are also laws of things as they truly are. Mathematics hands over this latter question to philosophy, and hence by the decision of philosophy its ultimate value must be determined. On the supposition that a single proposition of mathematics holds good of real existence, the whole body of mathematics holds good of it: if a single proposition is true only of apparent existence, the same thing must be said of the science as a whole. We see, then, that the truth of a special science can only mean, prior to the philosophical criticism of its founda- tion, that it is perfectly coherent within itself. Perfectly coherent it may be, however, while yet it rests upon an assumption that has never been justified. It is this assumption that philosophy has to investigate, not the truth of the individual propositions which rest upon it. If philosophy can only show that what mathematics has assumed as self-evident may be justified before the bar of reason, the whole body of mathematics will then rise to the dignity of demonstrated truth. If philosophy fails to justify that assumption, we shall have to conclude that mathematics is at the most merely an account of the relations which we have found to hold good of objects within our limited experience. Whatever conclusion we may reach, this is evident, that philosophy presents us with a problem which we cannot evade without mental unrest and disquiet. We have found then, firstly, that mathematics directs its attention to the objects of knowledge, philosophy to the nature of knowledge itself; secondly, that mathematics assumes that those objects are absolutely real, while philo- THE PROBLEM OF PHILOSOPHY. 15 sophy inquires into the truth or falsehood of that assump- tion ; and, thirdly, that philosophy admits the internal consistency of mathematics, but refuses to admit without criticism that any of its conclusions are true of things as they are in their ultimate nature. Let us now see whether philosophy bears a similar or a different relation to the other special sciences. It will be admitted that those sciences assume that no change ever takes place which is not due to some cause- A body, for instance, is found to assume a crystalline form, and the question at once arises as to the cause of the change. As the change never occurs except in the case of the solidification of a substance from a liquid state, we conclude that such solidification is the cause of the crystal- lization. And even in those instances in which we are unable to assign the cause, we feel quite sure that the event has not occurred without a cause. So much is this the case that, were we to find instances in which crystal- lization occurs when a substance was not previously in a liquid state, we should not think of saying that the change arose without any cause, but only that we had not yet found out the cause. The assumption, therefore, which lies at the foundation of all scientific discovery is that the changes which occur in nature do not occur at random, but are connected together in fixed ways. Given the cause, and the effect must follow. As we have found, however, that Mill denies what seems to be the even stronger necessity of mathematical truth, it is not surpris- ing that the assumed connection of events has also been denied. According to Hume it is impossible to show that there is any necessary connection in nature. The only warrant we can produce for our belief that events could 1 1 6 COMTE, MILL, AND SPENCER. not be connected otherwise than as we have found them to be connected, is the fact that in our experience we have always found them to occur in a certain order. Because heat and flame have presented themselves to- gether in our observation, we naturally come to imagine that the one could not occur without the other. It is true that we have never found flame that was not associated with heat, but that does not entitle us to say that they might not be separated. No number of observations can ever rise to the dignity of a necessary law. There is nothing to show that any two events which have been connected in our experience nine hundred and ninety- nine times, should not on the thousandth time be found to be totally unconnected. The reason why we suppose events to be necessarily connected may be explained by the fact that any two ideas which have frequently occurred together or in close succession are naturally supposed to imply an objective connection of events. It is a law of the human mind to expect the recurrence of that which has frequently occurred. Hence when an impression or idea arises in our mind, we naturally pass to the idea which has been often found associated with it. The con- nection of ideas, however, does not prove any necessary connection of events. The supposed connection of events is in reality the subjective connection of habit. Thus Hume completely inverts the ordinary conception of causality. He attributes the connection to the ob- serving subject, not to the observed object. No event is really connected with another, but the transition from one idea to another frequently associated with it is so easy and natural that we are irresistibly led to THE PROBLEM OF PHILOSOPHY. 1 7 suppose a real connection where none can be shown to exist. Now (i) the doubt which Hume casts upon the real connection of events, like the similar doubt of the neces- sary truth of mathematics, makes it imperative on us to inquire into the nature of knowledge. The ordinary belief, that all changes are due to something in the nature of things, can no longer be assumed without question. If what we have been wont to regard as a law of things should turn out to be a mere fiction of our own minds, we shall be compelled to alter our whole view of the character of the special sciences. So complete a reversal of our common beliefs cannot be allowed to pass without the severest scrutiny. Hume's sceptical doctrine in regard to causality evidently rests upon his peculiar theory of knowledge. Like his follower Mill, and his master Locke, he holds that what we know of nature must come to us in the form of sensible impressions. It may be, however, that this is a false, or, at least, an imperfect account of the origin of knowledge, and that the denial of the real con- nection of things is incompatible with the nature of know- ledge as properly understood. Be this as it may, a searching inquiry into the nature of knowledge is absol- utely indispensable. The belief in causal connection, which all the special sciences assume without misgiving, must be either confirmed or rejected. Here again, there- fore, we find that, whereas science limits itself to objects, philosophy investigates the nature of knowledge. (2) It lies on the very face of Hume's denial of the real con- nection of objects and events, that we cannot tell what is the nature of knowledge without determining at the same time the nature of real existence. If Hume is B 1 8 COMTE, MILL, AND SPENCER. right, we must suppose that what we call the course of nature is a perfectly arbitrary succession of events. On his view there is no reason why any event might not be followed by any other event, and therefore no reason why at any moment the whole world of objects might not literally " dissolve, And, like an insubstantial pageant faded, Leave not a rack behind." The rays of the sun might suddenly freeze water instead of vaporizing it, and the breath of the north wind set the world on fire. We have no other guarantee of what will be but a fancy of our own, which rests upon a confusion between the customary and the neces- sary. Hume's doctrine is therefore at bottom a denial of all law. There is no limit to the variability of nature but the possible combinations of particular events. What we call laws of nature are merely the accidental juxta- position of events. A theory of knowledge which reduces the apparent connection of events to a "fortuitous con- course" of disconnected particulars is not to be lightly accepted. It compels us to ask whether the world is destitute of internal coherency and system, as Hume would have us believe. Thus the inquiry into the nature of knowledge is once more found to be connected in the closest possible way with the inquiry into the nature of existence as a whole. (3) We may now see that philo- sophy has to examine the principles assumed by such sciences as physics and chemistry, just as it has to examine into the assumed necessity of mathematical truth. Those sciences, taking for granted the principle that every change must have a cause, go on to ask what f THE PROBLEM OF FHJ-fcOSOPHY. 19 are the partic ular causes whion account for and necessi- tate^ th"e multifarious changes that occur in nature. Philosophy, on the other hand, asks in what sense we can speak of causal connection at all. Thus, while the special sciences are occupied with particular modes of existence, philosophy deals with the relations of these modes to existence as a whole. Should the final result of philosophy be to confirm Hume's view of causality, the assumed unity and systematic connection of nature could only be explained as a disconnected assemblage of objects and events. In any case, it is the task of philosophy to examine into the fundamental principles on which the special sciences are supposed to rest. Philosophy does not, any more than in regard to the propositions of mathematics, deny the inner harmony of the special sciences. It admits that, in whatever sense any one of the propositions which they contain is true, all the rest are true ; but it sets itself to inquire whether any of them has more than a relative value. On the result of this inquiry it depends whether we can, in any proper sense, speak of science at all. We have seen that philosophy bears the same general relation to the other sciences which it bears to mathe- matics, and we may now sum up the results to which we have been brought in three propositions. Firstly, science deals with objects as such, philosophy with the knowledge of objects. Secondly, science assumes that real knowledge is possible, philosophy inquires into the 1 | Ml truth of that assumption. Thirdly, science deals with the relations of objects to one another, philosophy with their relations to existence as a whole. More shortly, science treats of modes of existence, philosophy of 20 COMTE, MILL, AND SPENCER. existence in its completeness. And as existence may roughly be divided into the three great related spheres of Nature, Mind, and God (whatever these may ulti- mately be found to mean), there are three main divisions of philosophy : (i) Philosophy of Nature ; (2) Philosophy of Mind; (3) Philosophy of the Absolute. CHAPTER II. PHILOSOPHY OF AUGUSTE COMTE. Now, it might seem that, having denned the problem of philosophy, and indicated its three great departments, our next step would be to take up each of those de- partments in turn. But, as we have seen, there are eminent thinkers, who, either expressly or by implication, maintain' that man is by the very nature of his faculties for ever incapable of knowing reality as it ultimately is ; and it is therefore advisable to begin by asking whether this sceptical attitude in regard to the object of philo- sophy has any rational foundation, or whether it does not rather rest upon an untenable assumption. Perhaps the simplest way of approaching this problem will be to examine it in the form in which it is presented by Comte. The fundamental idea which underlies the doctrine of Comte is, that all attempts to obtain an "absolute" view of existence are necessarily futile. This Comte expresses by saying that, while we are capable of a "subjective synthesis " of existence, we are by the necessary limitation of our knowledge incapable of an "objective synthesis." Some explanation of these terms will be necessary. Comte here uses the term "subjective" in the sense of 2 2 COMTE, MILL, AND SPENCER. "limited" or "human"; and with this he contrasts an "objective synthesis," as one in which things would be looked at from the point of view of absolutely complete knowledge. What he contends, therefore, is that man must be content to gain such a limited knowledge of the world and of human life as will enable him to make use of nature, simply for the perfecting of society. Thus Comte would turn our thoughts away from all specula- tions upon the ultimate meaning of existence, and con- centrate them upon the good of humanity. For we find, as he maintains, a tendency to organization in humanity itself, and the aim of the individual is to live a higher life by seeking more and more to make himself instru- mental in advancing the good of the race. This is the main idea in the philosophy of Comte, but it will be profitable to consider more in detail the process by which it is reached. The starting-point in Comte's own intellectual develop- ment was his conviction of the falsehood of pure indi- vidualism, as preached by Rousseau and written in letters of blood on the French Revolution. The sum of Rousseau's teaching was that all the evils of man are due to society, and that he can reach perfection only by being freed from all restraint and allowed to follow his natural instincts. This doctrine of pure individualism was not justified of its children. Freedom from social restraint had not brought liberty but licence. Even in the economic region, the result was a fierce fight of individuals with one another, in which the stronger and more crafty worsted the weaker and less cunning. It was therefore natural that an attempt should be made to find a solution of the problem in a reconstruction of the fabric of society. One of the leaders PHILOSOPHY OF AUGUSTE COMTE. 23 of this movement was St. Simon, who saw the essential weakness of the gospel according to Jean Jacques Rousseau, and tried to substitute for it a new gospel resting upon a socialistic foundation. The great problem of modern times, he held, was the combination of men with one another as a means of turning nature to the use of all. The physical as well as the intellectual and moral advance- ment of all the members of society ought to be aimed at, and especially the elevation of the poorer and weaker members of society. Liberty he regards not as valuable in itself, but only in so far as it is the means of a better form of social organization. The weakness of St. Simon is that, to secure this higher form of society, he would institute a social despotism that would sacrifice men's free intellectual and moral development in order to make them comfortable. Now Comte, in his youth, was an ardent disciple of St. Simon, and from him he learned two things : (i) he came to see the essential weakness of pure individualism ; and (2) he was led to seek for a solution of the social problem in the idea of society as an organism. The problem as it presented itself to his mind took this form : How can the organization of society be preserved, while yet the individual is not crushed by the despotic rule of the more cultured members of the state ? And his answer was, that by the development of science, which is secured by the individual, and yet is the product not of caprice but of reason, there may be discovered the best means of securing the highest happiness of humanity. The whole history of man is regarded by Comte as the history of association by means of positive science. Man in his primitive state has two opposite tendencies, — the 24 COMTE, MILL, AND SPENCER. tendency to sociality and the tendency to individualism. The social instinct is at first weak, yet its triumph over the personal or selfish instinct is essential to the welfare and even the existence of humanity. Feeling rather than understanding this truth, the first leaders of mankind grasped at a mode of explaining the universe which had at least the merit of strengthening the social bond. Thus arose what Comte calls the theological stage of human development. Nature was supposed to be ruled by a number of supernatural beings. Such a mode of explana- tion was doomed to destruction. As men came to see more and more clearly that the world is governed by law, the gods were removed to a greater and greater distance, — Polytheism arose out of Fetichism, and Monotheism out of Polytheism. What at first seems but the gradual puri- fication of theology is regarded by Comte as really a preparation for its final overthrow. The substitution of a limited for an indefinite number of arbitrary wills, and of one will for a limited number, were but steps in the pro- cess by which all interference of supernatural agents was denied. The work of dethronement was continued by metaphysic. In this stage of development phenomena are explained, not by the arbitrary volitions of divine beings, but by abstract powers or essences, supposed to lie behind phe- nomena. These powers or essences were in reality but the ghosts of the vanished gods ; in other words, the truth of the metaphysical era consisted in its negatio?i of theology, not in any positive reconstruction of its own. The final triumph of metaphysic was in the reduction of the various powers of nature to the one abstraction of nature itself. This is a great advance, but its fundamental weakness is PHILOSOPHY OF AUGUSTE COMTE. 25 that it still supposes nature to be something lying behind phenomena, and distinct from them. The third stage in the development of humanity is the positive or scientific, in which man has at last come to see that for him the only realities are neither supernatural beings nor metaphysical abstractions, but the laws of the resemblance, the co-existence, and the succession of phe- nomena as these are revealed by positive science. Now, the extreme degree of specialization which the sciences have now reached makes it necessary to reduce them to a system ; in no other way is it possible to turn the vast accumulation of facts to account for the furtherance of human welfare. This done, social benevolence will rest upon the secure foundation of scientific truth. The secret of the universe can be no further read than is necessary for the development of humanity, but man can give unity to his transitory existence by mastering the laws of phenomena, and especially the laws of his own nature and his immediate environment. To this task let him devote all his powers, abandoning for ever the useless and worse than useless task of prying into the unfathom- able mystery of the great universe. In illustration of this hurried sketch of Comte's law of the three stages, I may quote a few passages from the introductory lecture of his Cours de Philosophie Positive. " I believe," says Comte, " that I have discovered the law of development exhibited by the human intelligence in its diverse spheres of activity, — a law which can be shown to rest upon a solid foundation by considerations drawn from the nature of our organization, and which is capable of being verified by a careful scrutiny of the past. The law is this : that each of our main conceptions, each 26 COMTE, MILL, AND SPENCER. branch of knowledge, passes in succession through three distinct stages, — the theological or imaginative stage, the metaphysical or abstract, and the scientific or positive. In other words, the mind of man, by its very nature, em- ploys one after the other, in each of its inquiries, three methods of explanation, the essential character of which is not only different but radically distinct : first, the theo- logical method ; next, the metaphysical ; and lastly, the positive. Hence arise three mutually exclusive types of philosophy, or general systems, in regard to the totality of phenomena. The first yields the necessary starting-point of human intelligence ; the third, its fixed goal ; the second simply serves as a means of transition from the one to the other. " In the theological stage, the human mind seeks to discover the inner nature of things, the first and the final causes of all the effects which strike the senses ; in short, it aims at absolute knowledge, and regards phenomena as due to the direct and continuous activity of supernatural beings, more or less numerous, whose arbitrary interven- tion explains all the apparent anomalies of the universe. " In the metaphysical stage, which is at bottom merely a modification of the theological, for supernatural agents are substituted abstract forces, entities, or personified ab- stractions supposed to be inherent in different classes of things, and to be capable of producing by themselves all the phenomena that we observe. The mode of explana- tion at this stage, therefore, consists in assigning for each class a correspondent entity. "Lastly, in the positive stage, the human mind, recog- nizing the impossibility of gaining absolute conceptions of things, gives up the search after the origin and destiny PHILOSOPHY OF AUGUSTE COMTE. 27 of the universe and the inner causes of phenomena, and limits itself to the task of finding out, by means of experience combined with reflection and observation, the laws of phenomena, i.e., their invariable relations of similarity and succession. The explanation of facts, re- duced to its simplest terms, is now regarded as simply the connection which subsists between diverse particular phenomena and certain general facts, the number of which is continually reduced with the progress of science. " The theological reaches its greatest perfection when it substitutes the providential action of a single Being for the numerous independent divinities imagined to be at work in primitive times. Similarly, the highest point reached by the metaphysical system consists in con- ceiving, instead of a number of particular entities, a single great entity, called Nature, which is viewed as the sole source of all phenomena. So also, the perfection of the positive system, a perfection towards which it continually tends, but which it is highly probable it will never quite reach, would consist in being able to represent all observed phenomena as particular instances of a single gene ral fact, such as, say, the fa ct of gravitation. " We thus see that the essential character of positive philosophy is to regard all phenomena as subject t o in- variable laws. The aim of all its efforts is the precise discovery of such laws, and the reduction of them to the least possible number. What is called causes — whether these are first causes or final causes — are absolutely inaccessible, and the search for them is a vain search. Everyone knows, in fact, that in positive explanations, even the most perfect, we do not in any way pretend to exhibit the productive causes of phenomena, but only to 28 COMTE, MILL, AND SPENCER. analyze with precision the circumstances of their produc- tion, and to connect them with one another by fixed relations of similarity and succession. " Thus, we say that the general phenomena of the universe are explained^ so far as that is possible, by the Newtonian law of gravitation, because, on the one hand, this theory shows the immense variety of astronomical facts to be the very same fact looked at from different points of view, viz., the constant tendency of all the molecules of matter towards one another in direct pro- portion to their mass, and in inverse proportion to the squares of their distances ; while, on the other hand, this general fact is presented simply as the extension of a phenomenon with which we are all familiar, and which by that very fact we regard as thoroughly known, I mean the weight of bodies at the surface of the earth. But what attraction and weight are in themselves we cannot possibly tell ; such questions do not belong to the domain of positive philosophy, and must be relegated to the imagination of the theologian or the subtlety of the metaphysician." You must not take what has been said as a complete statement of the philosophy of Comte, but only or chiefly of that philosophy on its negative side. Comte's social philosophy, which is the most valuable part of his system, I have purposely passed over as foreign to our present subject. Now here we have a formulation of the main principle of Agnosticism — the unknowability of any reality beyond phenomena and their laws — a principle which is endorsed by many who would not accept his social philosophy. Our question therefore is, whether Comte and all who accept the general agnostic position are PHILOSOPHY OF AUGUSTE COMTE. 29 justified in denying to man all knowledge of the Abso- lute. Is such a doctrine consistent with itself? Is it tenable? Can we limit ourselves in our inquiries to what goes on upon this "bank and shoal of time," shutting our eyes to all that may lie beyond it? We must begin by pointing out an ambiguity in the doctrine of the Relativity of Knowledge, as expressed by Comte, — an ambiguity of which he was not himself clearly conscious, (i) In the first place, the doctrine sometimes means for him that the only true knowledge is of laws, not of causes. "What is called causes," he says in the passage quoted, "whether these are first or final causes, are absolutely inaccessible, and the search for them is a vain search." What Comte has here before his mind mainly is, that theology and metaphysics have, in his estimation, given a wrong explanation of the facts of nature. Homer, e.g., tells us that Apollo [3rj 8e kclt' OvXvfxwoio Kaprjpcov xwo/xevos Krjp, t6£ CbfJ.oi.cnv ^x wpi dfx