.* • h J .* H * ISeRARY THE PHILOSOPHY OF KANT. PUBLISHED BY JAMES MACLEHOSE AND SONS. GLASGOW, ^oblishers to the anibersitg. MACMILLAN AND CO., LONDON AND NEW YORK. London, . . . Sivipkin, Marshall, Hamilton, Kent, and Co., Liviited. Cambridge, . , AIacviilla7i and Boiues. Editiburgh, . , Do7iglas a7td Fojilzs. MDCCCXCVn. THE PHILOSOPHY OF KANT, «c AS CONTAINED IN EXTRACTS FROM HIS OWN WRITINGS. SELECTED AND TRANSLATED' BY ■ ' ' ^. JOHN WATSON, LL.D., PROFESSOR OF MORAL PHILOSOPHY IN THE UNIVERSITY OF QUEEn's COLLEGE, KINGSTON, CANADA, AUTHOR OF " KANT AND HIS ENGLISH CRITICS." NEW EDITION, GLASGOW: JAMES MACLEHOSE & SONS, ^ttlDiishers t^ the ©nibersiti). 1897. WOLOGf hBRARY • • < < t « « • • • • ••*•• * • ^yj^^ ^ ^ n VI PREFATORY NOTE. of Kant, which exhibit in brief the transition from the old to the new, I beheve to be a potent instrument for this end. But the struggle upwards must be made by the student himself. A man may hear, and seem to appreciate, a course of lectures on the Critical philo- sophy, containing a clear, and even a full statement of it, and may yet fail to enter into its spirit. To obviate this danger as far as possible, I tried some years ago what could be done by throwing the student more upon himself. My plan was to set a class of more advanced pupils at work upon extracts from the philosophy of Kant, to watch them as they forced their way through its perplexities, and to put forth a helping hand only when it seemed to be needful. The experiment justified itself No method that I have tried — and I have tried several — has been so fruitful in results. The limited edition of Extracts, originally printed for the use of my own students, but also used in other American Universities, is now out of print. I have, therefore, gone carefully over the writings of Kant again, selecting and re-translating all the passages that seem to be essential to the understanding of his philosophy. The Extracts have been taken from four treatises — the Critique of Pure Reason, the Metaphysic of Morality, the Critique of Practical Reason, and the Critique of Judgment. In the translations I have sought to express Kant's meaning as clearly and simply as I could; and in no case, so far as I am aware, have I been biassed by a pre-conceived theory of what he ought to say. To render Kant into intelligible English I have not found an easy task, but it has been made much lighter for me by the labours of my predecessors, Mr. Meiklejohn, Mr. PREFATORY NOTE. VU Max Miiller, Dr. Hutchison Stirling, Mr. Mahaffy, and Mr. Abbott, to whom I beg to express my obligations. My very special thanks are also due to Professor Edward Caird, of Glasgow University, for his great kindness in reading the whole of the manuscript, and making a number of valuable suggestions. The pages of the first and second editions of the Kritik der reinen Vermmft are given on the margin — the former to the right, the latter to the left. The references in other cases are to the complete edition of Kant's works published by Hartenstein in 1867. The Index at the end of the volume, which I have tried to make as complete as possible, will, I hope, be found useful. What I call the Preface to the Critique of Pure Reason really consists of two prefaces thrown into one ; but the extracts have been taken mainly from the preface to the second edition, though a few passages from that to the first edition have been inserted. Here, and in one or two other places, I have made a slight change from the order of the original ; but the transpositions are few, and are sufficiently indicated by the references on the margin. As a rule, my editorial privilege has been exercised only in the way of omission. I am well aware that objection may be taken to the whole principle of these Extracts. The work of a great author, it may be said, should be represented *' all in all, or not at all." The objection is not without force, but it seems to me to apply mainly to the selec- tion of disconnected passages, and to the mutilation of a faultless work of art like the Republic of Plato. The writings of Kant, which are full of confusing repetitions that really mar their perfection of form, hardly deserve Vlll PREFATORY NOTE. the same tenderness of treatment. This is a case in which it may be doubted if the less does not contain the greater and even more. At least it is safe to say that most students are more likely to turn to the full text of Kant after a study of the more important passages in his works, than if they had to make their way against greater obstacles. No doubt there are suggestive points which the plan of this work has compelled me to omit, but I have tried to reduce these to a minimum. I believe that what is here given contains all the main ideas of Kant in their systematic connection. It is to be hoped, how- ever, that the student who has mastered these Extracts will not be satisfied until he has read all that Kant has to say. University of Queen's College, Kingston, Canada, May, 1888. CONTENTS. Critique of Pure Reason PAGE Preface, I Introduction, .... 7 Transcendental iEsthetic, . 22 Section I. — Space, 23 Section II. — Time, . 29 General Remarks, 36 Transcendental Logic, 40 Transcendental Analytic, 46 Book I. — Conceptions, 46 Chapter I. — Guiding-thread for Discovery ol F Categories, . . . . 46 Chapter II. — Deduction of Categories, . 53 Book II. — Judgments, 83 Chapter I. — Schematism of Categories, . 84 Chapter II. — Principles of Pure Understandinj ?, 92 I. Axioms of Perception, 92 2. Anticipations of Observation, . 96 3. Analogies of Experience, . lOI 106 B. Causality, .... no C. Community, 118 4. Postulates of Empirical Thought, 122 General Remark, .... 126 Chapter III. — Phenomena and Noumena, 129 Transcendental Dialectic, 135 Book I. — Ideas, 140 Book II. — Dialectical Conclusions, 143 Chapter I. — Paralogisms, 145 Chapter II.— Ant inomi les, 155 CONTENTS. Chapter III. — The Ideal, .... Ontological Proof, ..... Cosmological Proof, Physico-theological Proof, Metaphysic of Morality. Section I. — Transition from Ordinary Moral Conceptions to the Philosophical Conception of Morality, . Section II. — Transition from Popular Moral Philosophy to the Metaphysic of Morality, ..... Section III. — Transition from the Metaphysic of Morality to the Critique of Practical Reason, .... PAGE 195 204 210 218 225 232 250 Critique of Practical Reason. Book I. — Analytic, Chapter I. — Principles, Chapter II. — Object, . Chapter III. — Motives, Book II. — Dialectic, . Chapter I. — General Consideration, Chapter II. — The Summum Bonum, Antinomy, Critical Solution of Antinomy, Immortality of the Soul, . Existence of God, Postulates, Extension of Practical Reason, I. 2. 4- 5. 6. 7- 8. Faith, 261 261 280 284 289 289 291 292 293 294 296 298 300 302 Critique of Judgment. Introduction, .... Critique of Teleological Judgment, Section I. — Analytic, . Section II. — Dialectic, Appendix on Method, Index, 307 323 323 331 343 351 THE CRITIQUE OF PURE REASON. THE PHILOSOPHY OF KANT. THE CRITIQUE OF PURE REASON. PREFACE. This may well be called the age of criticism, a criti- yi u cism from which nothing need hope to escape. When religion seeks to shelter itself behind its sanctity, and law behind its majesty, they justly awaken suspicion against themselves, and lose all claim to the sincere respect which reason yields only to that which has been able to bear the test of its free and open scrutiny. Metaphysic has been the battlefield of endless ii conflicts. Dogmatism at first held despotic sway ; but iii . . . from time to time scepticism destroyed all settled order of society ; . . . and now a widespread iv xiv indifferentism prevails. Never has metaphysic been so fortunate as to strike into the sure path of science, but has kept groping about, and groping, too, among mere XV ideas. What can be the reason of this failure ? Is a science of metaphysic impossible ? Then, why should nature disquiet us with a restless longing after it, as if it were one of our most important concerns ? Nay more, how can we put any faith in human reason, if in one of the very things that we most desire to know, it not merely ♦ I c n 2 tftE. PHILOSOPHY OF KANT. ..•.•'..* • * * forsakes ii*3,-b*i>t'riires us on by false hopes only to cheat us in the end ? Or are there any indications that the true path has hitherto been missed, and that by starting afresh we may yet succeed where others have failed? xvi It seems to me that the intellectual revolution, by which at a bound mathematics and physics became what they now are, is so remarkable, that we are called upon to ask what was the essential feature of the change that proved so advantageous to them, and to try at least to apply to metaphysic as far as possible a method that has xi been successful in other sciences of reason. In mathe- matics I believe that, after a long period of groping, the true path was disclosed in the happy inspiration of a single man. If that man was Thales, things must suddenly xii have appeared to him in a new light, the moment he saw how the properties of the isosceles triangle could be demonstrated. The true method, as he found, was not to inspect the visible figure of the triangle, or to analyze the bare conception of it, and from this, as it were, to read off its properties, but to bring out what was necessarily implied in the conception that he had himself formed a priori, and put into the figure, in the construc- tion by which he presented it to himself Physics took a much longer time than mathematics to enter on the highway of science, but here, too, a sudden revolution in the way of looking at things took place. When Galileo caused balls which he had carefully weighed to roll down an inclined plane, or Torricelli made the air bear up a weight which he knew beforehand to be equal xiii to a standard column of water, a new light broke on the mind of the scientific discoverer. It was seen that reason has insight only into that which it produces after a THE CRITIQUE OF PURE REASON. 3 plan of its own, and that it must itself lead the way with principles of judgment based upon fixed laws, and force nature to answer its questions. Even experimental " physics, therefore, owes the beneficial revolution in xiv its point of view entirely to the idea, that, while reason can know nothing purely of itself, yet that which it has itself put into nature must be its guide to the discovery of all that it can learn from nature. xvi In metaphysical speculations it has always been v assumed that all our knowledge must conform to objects ; but every attempt from this point of view to extend our ' ^,jjJ^ knowledge of objects a priori by means of conceptions has ended in failure. The time has now come to ask, whether better progress may not be made by supposing that objects must conform to our knowledge. Plainly ^ this would better agree with the avowed aim of meta- physic, to determine the nature of objects a priori, or before they are actually presented. Our suggestion is similar to that of Copernicus in astronomy, who, finding it impossible to explain the movements of the heavenly bodies on the supposition that they turned round the spectator, tried whether he might not succeed better by supposing the spectator to revolve and the stars to re- xvii main at rest. Let us make a similar experiment in metaphysic with /(?rr^//%, ^ the relations of things, but a pure perception. For we ,%^^ . can be conscious only of a single space. It is true that '^'" - ^ ^ * we speak as if there were many spaces, but we really ^ .^-r" mean only parts of one and the same identical space, w^^ Nor can we say that these parts exist l?e/ore the one all-embracing space, and are put together to form a whole; but we can think of them only as in it. Space is essen- tially single ; by the plurality of spaces, we merely mean that because space can be limited in many ways, the general conception of spaces presupposes such limitations as its foundation. From this it follows, that an a priori perception, and not an empirical perception, underlies all conceptions of pure space. Accordingly, no geometrical proposition, as, for instance, that any two sides of a triangle are greater than the third side, can ever be derived from the general conceptions of line and triangle* but only from perception. From the perception, however, it can be derived a priori, and with demonstrative certainty. , ^ .-^ (4) Space is presented before our consciousness aS'W»-V' 40 an infinite magnitude. Now, in every conception we certainly think of a certain attribute as common to an infinite number of possible objects, which are subsumed under the conception ; but, from its very nature, no conception can possibly be supposed to contain an 26 THE PHILOSOPHY OF KANT. infinite number of determinations within it. But it is just in this way that space is thought of, all its parts being conceived to co-exist ad injinitii7?i. Hence the original consciousness of space is an a priori perception, not a conception. 3. Transcendental Exposition of Space. A transcendental exposition seeks to show how, from a certain principle, the possibility of other a priori synthetic knowledge may be explained. To be suc- cessful, it must prove (i) that there really are synthetic propositions which can be derived from the principle in question, (2) that they can be so derived only if a certain explanation of that principle is adopted. Now, geometry is a science that determines the properties of space synthetically, and yet a priori. What, then, must be the nature of space, in order that such knowledge of it may be possible? Our original con- . J sciousness of it must be perception, for no new truth, such as we have in the propositions of geometry, can be obtained from the mere analysis of a given conception (Introduction, 5). And this perception must be a priori^ or, in other words, must be found in us before we actually observe an object, and hence it must be pure, not empirical perception. For all geometrical propositions, as, for instance, that space has but three dimensions, are of demonstrative certainty, or present themselves in consciousness as necessary ; and such propositions cannot be empirical, nor can they be derived from judgments of experience (Introduction, 2). How, then, can there be in the mind an external TRANSCENDENTAL ^ESTHETIC. 27 perception, which is antecedent to objects themselves, and in which the conception of those objects may be. determined a prior il Manifestly, only if that perception has its seat in the subject, that is, if it belongs to the formal constitution of the subject, in virtue of which it is so affected by objects as to have a direct consciousness or perception of them ; therefore, only if perception is the universal ^r;;z of outer sense. Our explanation is, therefore, the only one that makes the possibility of geometry intelligible, as a mode of a priori synthetic knowledge. All other explanations fail to do so, and, although they may have an external resemblance to ours, may readily be distinguished from it by this criterion. 42 Inferefices. 26 ^ (a) Space is in no sense a property of things in them- selves, nor is it a relation of things in themselves to one , another. It is not a determination that still belongs to objects even when abstraction has been made from all the subjective conditions of perception. For we never could perceive a priori any determination of things, whether belonging to them individually or in relation to one another, antecedently to our perception of those things themselves. {p) Space is nothing but the form of all the phenomena of outer sense. It is the subjective condition without which no external perception is possible for us. The receptivity of the subject, or its capability of being affected by objects, necessarily exists before there is any perception of objects. Hence it is easy to understand, how the form of all phenomena may exist in the mind 28 THE PHILOSOPHY OF KANT. a priori^ antecedently to actual observation, and how, as a pure perception in which all objects must be determined, it may contain the principles that determine beforehand the relations of objects when they are met with in experience. It is, therefore, purely from our human point of view that we can speak of space, of extended things, etc. Suppose the subjective conditions to be taken away, without which we cannot have any external perception, 43 or be affected by objects, and the idea of space ceases to have any meaning. We cannot predicate spatial dimensions of things, except in so far as they appear 27 in our consciousness. The unalterable form of this receptivity, which we call sensibility, is a necessary condition of all the relations in which objects are per- ceived as outside of us, and this form, when it is viewed in abstraction from objects, is the pure perception that is known by the name of space. We are not entitled to regard the conditions that are proper to our sensibility as conditions of the possibility of things, but only of things *" as they appear to us. Hence, while it is correct to say, that space embraces all things that are capable of appearing to us as external, we cannot say, that it embraces all things as they are in themselves, no matter what subject may perceive them, and, indeed, whether they are perceived or not. For we have no means of judging whether other thinking beings are in their perceptions bound down by the same conditions as ourselves, and which for us hold universally. If we state the limitations under which a judgment holds of a given subject, the judgment is then unconditionally true. The proposition, that all things are side by side in space, is TRANSCENDENTAL ^ESTHETIC. 29 true only under the limitation that we are speaking of our own sensible perception. But, if we more exactly define the subject of the proposition by saying, that all things as external phenomena are side by side in space, it will be true universally and without any exception. Our 44 exposition, therefore, establishes the reality, or objective truth of space, as a determination of every object that can 28 possibly come before us as external \ but, at the same time, it proves the ideality of space, when space is con- sidered by reason relatively to things in themselves, that is, without regard to the constitution of our sensibility. We, therefore, affirm the empirical reality of space, as regards all possible external experience ; but we also maintain its transce?idental ideality, or, in other words, we hold that space is nothing at all, if its limitation to possible experience is ignored, and it is treated as a ^ necessary condition of things in themselves. 46 Section II. — Time. 3^ 4. Metaphysical Exposition of Time. (i) Time is not an empirical conception, which has been derived from any experience. For we should not observe things to co-exist or to follow one another, did we not possess the idea of time a priori. It is, therefore, only under the presupposition of time, that we can be conscious of certain things as existing at the same time (simultaneously), or at different times (successively). 31 (2) Time is a necessary idea, which is presupposed in all perceptions. We cannot be conscious of phenomena if time is taken away, although we can quite readily 30 THE PHILOSOPHY OF KANT. suppose phenomena to be absent from time. Time is, therefore, given a priori. No phenomenon can exist at all that is not in time. While, therefore, phenomena may be supposed to vanish completely out of time, time itself, as the universal condition of their possibility, cannot be supposed away. (3) Time is not a discursive, or general conception, but a pure form of sensible perception. Different times are but parts of the very same time. Now, the conscious- ness of that which is presented as one single object, is 32 perception. Moreover, the proposition, that no two moments of time can co-exist, cannot be derived from a general conception. The proposition is synthetic, and cannot originate in mere conceptions. It therefore rests upon the direct perception and idea of time. (4) The infinity of time simply means, that every 48 definite quantity of time is possible only as a Hmitation of one single time. There must, therefore; be originally a consciousness of time as unlimited. Now, if an object presents itself as a whole, so that its parts and every quantity of it can be represented only by limiting that whole, such an object cannot be given in conception, for conceptions contain only partial determinations of a thing. A direct perception must therefore be the founda- tion of the idea of time. 5. Transce7idental Exposition of Time. 47 Apodictic principles which determine relations in time, 31 *■ or axioms of time in general, are possible only because time is the necessary a priori condition of all phenomena. Time has but one dimension; different times do not co-exist but follow one another, just as different spaces do TRANSCENDENTAL ^ESTHETIC. 3 1 not follow one another but co-exist. Such propositions cannot be derived from experience, which never yields strict universality or demonstrative certainty. If they were based upon experience, we could say only, that it has ordinarily been observed to be so, not that it must be so. Principles like these have the force of rules, that lay down the conditions without which no experience whatever is possible : they are not learned from experi- ence, but anticipate what experience must be. Let me add here that change, including motion or change of place, is conceivable only in and through the idea of time. Were time not an inner a priori percep- tion, we could not form the least idea how there should be any such thing as change. Take away time, and change combines in itself absolutely contradictory predi- cates. Motion, or change of place, for instance, must then be thought of as at once the existence and the non-existence of one and the same thing in the same 49 place. The contradiction disappears, only when it is seen that the thing has those opposite determinations one after the other. Our conception of time as an a priori form of perception, therefore explains the possibility of the whole body of a priori synthetic propositions in regard to motion that are contained in the pure part of physics, and hence it is not a little fruitful in results. 6. Inferences. 32 {a) Time is not an independent substance nor an objective determination of things, and hence it does not survive when abstraction has been made from all the subjective conditions of perception. Were it an indepen- dent thing, it would be real without being a real object of 32 THE PHILOSOPHY OF KANT. consciousness. Were it a determination or order of 33 things as they are in themselves, it could not precede our perception of those things as its necessary condition, nor could it be known by means of synthetic judgments. But the possibility of such judgments becomes at once intelligible if time is nothing but the subjective condition, without which we can have no perception whatever. For in that case we may be conscious of this form of inner perception before we are conscious of objects, and therefore a priori. {b) Time is nothing but the form of inner sense, that is, of the perception of ourselves and our own inner state. As it has no influence on the shape or position of an CO object, time cannot be a determination of outer pheno- mena as such ; what it does determine is the relation of ideas in our own inner state. And just because this inner perception has no shape of its own, we seek to make up for this want by analogies drawn from space. Thus, we figure the series of time as a line that proceeds to infinity, the parts of which form a series; and we reason from the properties of this line to all the properties of time, taking care to allow for the one point of differ- ence, that the parts of the spatial line all exist at once, while the parts of the temporal line all follow one after the other. Even from this fact alone, that all the relations of time may thus be presented in an external perception, it would be evident that time is itself a perception. {c) Time is the formal a priori condition of all pheno- mena without exception. Space, as the pure form of all 34 external phenomena, is the a priori condition only of external phenomena. But all objects of perception. TRANSCENDENTAL ESTHETIC 33 external as well as internal, are determinations of the mind, and, from that point of view, belong to our inner state. And as this inner state comes under time, which is the formal condition of inner perception, time is an a priori condition of all phenomena : it is the immediate condition of inner phenomena, and so the mediate con- 51 dition of outer phenomena. Just as I can say, a priori^ that all external phenomena are in space, and are de- termined a priori in conformity with the relations of space, so, from the principle of the inner sense, I can say quite generally that all phenomena are in time, and stand necessarily in relations of time. If we abstract from the manner in which we immedi- ately perceive our own inner state, and mediately all external phenomena, and think of objects in themselves, we find that in relation to them time is nothing at all. It is objectively true in relation to phenomena, because we are conscious of phenomena as objects of our senses ; but it is no longer objective, if we abstract from our ^5 sensibility, and therefore from the form proper to our perceptive consciousness, and speak of tJmtgs as such. Time is therefore a purely subjective condition of human perception, and in itself, or apart from the subject, it is nothing at all. Nevertheless, it is necessarily objective in relation to all phenomena, and therefore also to every- thing that can possibly enter into our experience. We 52 cannot say that all things are in time, because when we speak of things in this unqualified way, we are thinking of things in abstraction from the manner in which we per- ceive them, and therefore in abstraction from the con- dition under which alone we can say that they are in time. But, if we qualify our assertion by adding that 34 THE PHILOSOPHY OF KANT. condition, and say that all things as phenomena, or objects of sensible perception, are in time, the proposi- tion is, in the strictest sense of the word, objective, and is universally true a priori. We see, then, that time is empirically real, or is objectively true in relation to all objects that are capable of being presented to our senses. And as our perception always is sensuous, no object can ever be presented to us in experience, which does not conform to time as its condition. On the other hand, we deny to time all claim to absolute reality, because such a claim, in paying no 3^ heed to the form of sensible perception, assumes time to be an absolute condition or property of things. Such properties, as supposed to belong to things in themselves, can never be presented to us in sense. From this we infer the transcendental ideality of time ; by which we mean that, in abstraction from the subjective conditions of sensible perception, time is simply nothing, and cannot be said either to subsist by itself, or to inhere in things that do so subsist. 53 7. Explanatory Remarks. To this doctrine, which admits the empirical reality of time, but denies its absolute or transcendental reality, there is one objection so commonly made, that I must suppose it to occur spontaneously to everybody who is new to the present line of thought. It runs thus : No one can doubt that there are real changes, for, even if it 37 is denied that we perceive the external world, together with the changes in it, we are at least conscious of a change in our own ideas. Now, changes can take place only in time. Therefore time is real. TRANSCENDENTAL ESTHETIC. 35 There is no difficulty in meeting this objection. I admit all that is said. Certainly time is real : it is the real form of inner perception. It has reality for me relatively to my inner experience; in other words, I actually am conscious of time, and of my own determina- 54 tions as in it. Time is therefore real, not as an object beyond consciousness, but as the manner in which I exist for myself as an object of consciousness. But, if I could be perceived by myself or by any other being without the condition of sensibility, the very same determinations, which now appear as changes, would not be known as in time, and therefore would not be known as changes. The empirical reality of time thus remains, on our theory, the condition of all our experience. It is only its absolute reality that we refuse to admit. Time is there- fore nothing but the form of our inner perception. If we take away from it the peculiar condition of our sensibility, the idea of time also vanishes ; for time does not belong to objects as they are in themselves, but only 38 to the subject that perceives them. 55 Time and space are two sources of knowledge from which a variety of a priori synthetic judgments may be 39 derived. Mathematics, especially, supplies a splendid instance of such judgments, in the science of space and 56 the relations of space. Time and space are the two pure forms of all sensible perception, and as such they make a priori synthetic propositions possible. And just because they are mere conditions of sensibility, they mark out their own limits as sources of a priori knowledge. Applying only to objects regarded as phenomena, they do not present things as they are in themselves. Beyond the phenomenal world, which is their legitimate domain. 36 THE PHILOSOPHY OF KANT. they cannot be employed in determination of objects. But this Hmitation in no way lessens the stability of our empirical knowledge ; for, such knowledge, as depending upon necessary forms of the perception of things, is just as certain as if it rested upon necessary forms of things in themselves. 28 Transcendental Esthetic cannot contain more than 41 these two elements. This is plain, if we reflect that all other conceptions belonging to sensibility presuppose something empirical. Even the idea of motion, in which both elements are united, presupposes the observation of something that moves. Now, there is nothing movable in space considered purely by itself; hence that which is movable can be found in space only by experience, and is therefore an empirical datum. Similarly the idea of change cannot be put among the a priori data of transcendental aesthetic. Time itself does not change, but only something that is in time ; hence the idea of change must be derived from the observation of some actual object with its successive determinations — that is, from experience. eg 8. Ge7ieral remarks o?i the Tra7isce7ide7iial yEstheiic. . (i) A distinction is commonly drawn between what *- belongs essentially to an object, and is perceived by every one to belong to it, and what is accidental, being per- ceived only from a certain position, or when a special organ is affected in a particular way. In the one case, we are said to know the object as it is in itself; in the other case, to know it only as it appears to us. This, however, is merely an empirical distinction. For, it must be re- TRANSCENDENTAL iESTHETIC. 37 membered, that the empirical object which is here called the thing, is itself but an appearance. If this were all, our transcendental distinction would be altogether lost sight of, and we might imagine ourselves to know things in themselves when we knew only phenomena. For the truth is, that, however far we may carry our investigations into the world of sense, we never can come into contact 63 with aught but appearances. For instance, we call the rainbow in a sun-shower a mere appearance, and the rain the thing itself Nor is there any objection to this, if we mean to state merely the physical truth, that from what- ever position it is viewed the rain will appear to our senses as a real object of experience. But, if we go beyond the fact, that the sensible object is here the same 46 for every one, and ask whether the object is known as it is in itself, we pass to the transcendental point of view, and the question now is in regard to the relation of our consciousness of the object to the object as it exists apart from our consciousness. In this point of view, not merely the rain-drops, but their round shape, and even the space in which they fall, must be regarded as mere appearances, not as things in themselves. Every aspect of the phenomenon, in short, is but a modification or a permanent form of our sensible perception, while the transcendental object remains to us unknown. 71 (2) It is recognized in natural theology, not only that God cannot be an object of perception to us, but that He can never be an object of sensuous perception to Himself At the same time. His knowledge must be perception, and not thought, for thought always involves limitations. Now, the natural theologian is very careful to say, that God, in His perception, is free from the 38 THE PHILOSOPHY OF KANT. limits of space and time. But, how can this possibly be maintained, if it has previously been assumed, that space and time are forms of things in themselves? It must then be held that, even if those things were annihilated, space and time would continue to be a priori conditions of their existence. And if they are conditions of all existence, they must be conditions of the existence even 72 of God. We can avoid this conclusion only by saying LH,.i,x,v^ that space and time are not objective^ forms of all things, ^ but subjective forms of our outer as well as of our inner perceptions. In fact our perception is sensuous, just because it is not original. Were it original, the very existence of the object would be given in the perception, and such a perception, so far as we can see, can belong only to the Original Being. Our perception is dependent upon the existence of the object, and therefore it is possible only if our perceptive consciousness is affected by the presence of the object. Nor is it necessary to say, that man is the only being who perceives objects under the forms of space and time ; it may be that all finite thinking beings agree with man in that respect, although of this we cannot be certain. But, however universal this mode of perception may be, it cannot be other than sensuous, simply because it is derivative {inticitiis derivativus) and not original {intuitus origi?iarius), and therefore is not an intellectual perception. An intellectual perception, as we have already seen reason to believe, is the prerogative of the Original Being, and never can belong to a being which is dependent in its existence as well as in its perception, and in fact is conscious of its own existence only in re- lation to given objects. TRANSCENDENTAL ^ESTHETIC. 39 73 Conclusio7i of the Tra7iscende?ital Esthetic. We have, then, in the Transcendental Esthetic, one of the elements required in the solution of the general problem of transcendental philosophy : How are a priori synthetic propositions possible 1 Such propositions rest upon space and time, which are pure a priori perceptions. To enable us to go beyond a given conception, in an a priori judgment, we have found that something is needed, which is not contained in the conception, but in the perception corresponding to it, something therefore that may be connected with that conception synthetically. But such judgments, as based upon perception, can never extend beyond objects of sense, and therefore hold true only for objects of possible experience. 40 THE PHILOSOPHY OF KANT. 74 TRANSCENDENTAL LOGIC. 50 I. Gene7-al Logic. There are two ultimate sources from which knowledge comes to us : either we receive ideas in the form of impressions, or, by our spontaneous faculty of conception, we know an object by means of those ideas. In the former case, the object is giveji to us ; in the latter case, it is thought in relation to the impressions that arise in our consciousness. Perception and conception, there- fore, are the two elements that enter into all our knowledge. To every conception some form of percep- tion corresponds, and no perception yields knowledge without conception. Both may be either pure or empirical ; empirical^ if sensation, which occurs only in the actual presence of an object, is implied; pure^ if there is no intermixture of sensation. We may call 75 sensation the matter of sensuous knowledge. Hence pure perception contains only the form under which 51 a something is perceived, and pure conception the form in which an object in general is thought. Pure perceptions or pure conceptions alone are possible a priori^ while empirical perceptions or empirical concep- tions are possible only a posteriori. Insensibility is the receptivity of the mind in the actual apprehension of some impression, understanding is the spQjitandty of knowledge, or the faculty that of itself pro- TRANSCENDENTAL LOGIC. 4 1 duces idea s. We are so constituted that our perceptmi always is sensuous ; or it shows merely the manner in which we are affected by objects. But, we have also imderstanding, or the faculty of thinking the object of sensuous perception. Neither of these is to be regarded as superior to the other. Without sensibility no object would be given to us, without understanding none would be thought. Thoughts without content are empty, per- ceptions without conceptions are blind. It is therefore just as necessary to make our conceptions sensuous, that is, to add the object to them in perception, as it is to make our perceptions intelligible, that is, to bring them under conceptions. Neither of these faculties or capacities can do the work of the other. Under- standing can perceive nothing, the senses can think 76 nothing. Knowledge arises only from their united action. But this is no reason for confusing the function of either with that of the other ; it is rather a strong reason for 5 2 carefully separating and distinguishing the one from the other. Hence it is, that we di stinguish Esthetic, as the science of the universal rules of sensibility, from Logic, which is the science of the universal rules of under- standing. 77 General logic, as distinguished from the special logic 53 or organon of a particular science, is either pure or 78 applied; but only the former is in the strict sense a science. There are two rules that must ever be kept in 54 mind in pure general logic, (i) As general logic, it abstracts from all content of thought, and from all dis- tinction of objects, and deals only with the pure form of thought. (2) As pure logic, it has no empirical prin- ciples. Psychology has no influence on the canon of the 42 THE PHILOSOPHY OF KANT. understanding, and therefore it does not, as has some- times been supposed, contribute anything to pure logic. Logic is a demonstrative science, and whatever it contains must be certain entirely a priori. 79 2. Transce?idental Logic. ^^ Pure general logic, then, abstracts from all the content of knowledge, or what is the same thing, from all relation of knowledge to its objects, and considers merely the logical form implied in the relation of one element of knowledge to another, or the universal form of thought. Now, we have learned from the Transcendental Esthetic that there are pure as well as empirical perceptions, and it may well be, that a similar distinction obtains between the pure and the empirical thought of objects. In that ^° case, there will be a logic that does not abstract from all the content of knowledge. Containing merely the rules of the pure thought of an object, it will exclude all knowledge, the content of which is empirical. It will also refer our knowledge of objects to its origin, in so far as that origin cannot be ascribed to objects 56 themselves. 8t Let us suppose, then, that there are conceptions which 57 relate to objects a priori, but which, as mere functions of pure thought, stand to objects in quite a different relation from that in which perceptions stand to them, whether these are pure or sensuous. As these concep- tions will be of neither empirical nor aesthetic origin, we get the idea of a science of pure understanding and pure reason, the aim of which is to examine into the know- ledge which we obtain by thinking objects completely a TRANSCENDENTAL LOGIC. 43 priori. Such a science, as setting forth the origin, the limits, and the objective validity of pure conceptions, we must call Transcendefital Logic. g2 3. Division of General Logic into Analytic and Dialectic. 84 General logic analyzes the whole formal procedure of 60 understanding and reason into its elements, and presents these as principles by which the logical validity of know- ledge may be estimated. This part of logic, which is well called Analytic, supplies a negative touchstone of truth . . . but it does not enable us to determine 85 positively anything in regard to objects. At the same time, there is something so seductive in an art that enables us to reduce all our knowledge to the form of understanding, however empty and poor in content it may 61 be, that general logic, although it is merely a canon of judgment, is apt to be used as an organon by means of which new truth, or rather the specious appearance of new truth, may be obtained. When it is thus misused as a supposed organon, logic is called Dialectic. 87 4. Division of Transce?tdental Logic into Analytic and 62 Dialectic. Just as in Transcendental Esthetic we isolated the sensibility, so in Transcendental Logic we shall isolate the understanding, and throw into relief that element in our knowledge which has its origin in the understanding alone. This pure element can be employed in actual knowledge, only on condition that objects are presented 44 THE PHILOSOPHY OF KANT. in perception to which it may be applied. For, without perception, the pure element of knowledge has no object, and therefore remains perfectly empty. Tha^partjof Transcendental Logic which sets forth the pure element in_Jcnmvledge that belongs to understanding, and the principles without which no object whatever can be thought, is Transcendental Analytic. It is a logic of truth, because no knoAvledge can contradict it without losing all content, that is, all relation to an object, and 6^ therefore all truth. But there is a very seductive and deceptive tendency to employ that pure knowledge of understanding and those principles by themselves, and to apply them even beyond the limits of experience. Only in experience, however, can any matter or object be 88 found to which the pure conceptions of understand- ing may be applied. There is thus a danger that understanding, with a mere show of rationality, may make a material use of its purely formal principles, and pass judgments upon all objects without distinction, whether they are given to us or not, and perhaps even although they cannot be given to us at all. That which is merely a canon for the criticism of understanding in its empirical use, is misused; when it is supposed to be an organon that may be employed universally and without restriction, and when it permits understanding to venture upon synthetic judgments about objects in general, and to pro- nounce and decide upon them. Pure understanding is then employed dialectically. The second part of Tran- scendental Logic must therefore consist of a criticism of dialectical illusion. It is called Dialectic, not because it is an art of producing illusion dogmatically — a favourite art of too many metaphysical jugglers — but because it is TRANSCENDENTAL LOGIC 45 a criticism of understanding and reason in their hyper- physical use j a criticism, the aim of which is to expose their specious and groundless pretensions to the dis- 64 covery and extension of knowledge through purely transcendental principles, and to preserve understanding from all sophistical illusion. 46 THE PHILOSOPHY OF KANT. 89 TRANSCENDENTAL ANALYTIC. BOOK I.— ANALYTIC OF CONCEPTIONS. Chapter L — Guiding-thread for the Discovery OF the Categories. 90 The first part of Transcendental Analytic deals with the 65 conceptions^ the second part with the judgments of pure understanding. 92 It is the privilege as well as the duty of transcendental 67 philosophy, to proceed in the search for its conceptions upon a definite principle ; for these conceptions spring from the understanding pure and unmixed, and must therefore be connected together in the unity of a single conception or idea. This one fundamental conception is a systematic principle, by the application of which we may be certain a priori that we have found out all the pure conceptions of understanding, and have assigned to each its proper place in the whole system. , / "/ Section I. — The Logical Use of Understanding. ., , % ^ ,^ / Understanding has already been defined, negatively, as a non-sensuous faculty of knowledge. Now, as without sensibility we can have no perception, under- 68 93 standing cannot be a faculty of perception. But, apart from perception, the only other mode of obtaining knowledge is by means of conceptions. Therefore the knowledge that is due to understanding, or at least to ^.^v, ■ v^ ^tJ'-^^-^- ^ TRANSCENDENTAL ANALYTIC. 47 human understanding, is a knowledge by means of con- ceptions ; it is not perceptive, but discursive. All per- ceptions, as sensuous, rest upon affections, whereas conceptions rest upon functions. By function I mean the unity of act, in which various ideas are brought under a common idea. Conceptions are based on the spon- taneity of thought, sensuous perceptions on the receptivity of impressions. Now the only use that understanding can make of these conceptions is to judge by means of them. And, as without perception there is no direct consciousness of an object, a conception is never related directly to an object, but always indirectly, through a perception or through another conception. Judgment is therefore the indirect knowledge of an object, or the knowledge of knowledge. In every judgment there is a conception which holds true of various ideas, and, among others, of one which is directly referred to an object. Thus, in the judgment that all bodies are divisible, the conception of divisibility applies to various other conceptions, but it is in an especial way related to the conception of body, as this again is related to certain 94 objects that we directly perceive. Of these objects we 69 are therefore conscious only indirectly in the conception of divisibility. Accordingly, all judgments are functions of unity, because they do not consist in the direct know- ledge of an object, but bring that and other knowledge under the unity of a higher and more comprehensive con- ception. And as we can reduce all acts of understanding to judgments, understanding itself may be said to be a faculty of judg?ne7it. For, as we have seen above, under- standing is the faculty of thought. To think is to know by means of conceptions. But conceptions, as predi- i8 THE PHILOSOPHY OF KANT. cates of possible judgments, are relative to the idea of an object not yet determined. By the conception of body is meant something — metal, for instance — which may be known by means of that conception. Body is a conception^ just because it contains under it other deter- minations by means of which it may be referred to actual objects. It is thus the predicate of a possible judgment, such as, that every metal is a body. We may, therefore, find out all the possible functions of judgment if we can but tell what are all the possible functions of unity in judgment. And this, as we shall see in the next section, can quite readily be done. / 95 Section II. — 9. The Logical Function of U'?idcrsta?iding 7^ i?i Judgment. If we abstract from all the content of a judgment, and only pay heed to the mere form of understanding, we find that the functions of thought in judgment may be brought under four heads, each of which contains three subdivisions. Thus we get the following table : — I. Quantity of Judgments. Universal. Particular. Singular. ■- ( i ^JL 2. Quality. 3. Relation. Affirmative. Categorical. Negative. Hypothetical. Infinite. Disjunctive. 4. Modality. r • f / •*-^ U^. Problematic. "' /'' -^< /-yu^^^^ Assertoric. Jyi^^ W kj. ^^ fy/ »l4f^ Apodictic. /' y VA^ ^^^ ^ TRANSCENDENTAL ANALYTIC. (/^§ V 1 02 6'\. existence given by mere possibility Itself. jt6 Chapter II. — Deduction of the Categories. 84 13. Principles of a Transcendefital Deduction. There is a distinction in law between the question of right {quid Juris) and the question of fact {quid facti). Both must be proved, but proof of a right or claim is 1 1 7 called its deduction. Now, among the variety of con- 85 ceptions that make up the very mixed web of human knowledge, there are certain conceptions that put in a claim for use entirely a priori, and this claim of course stands in need of deduction. It is useless to refer to the fact of experience in justification of such a claim, but at the same time we must know how conceptions can possibly refer to objects which yet they do not derive from experience. An explanation of the manner in 86 which conceptions can relate a priori to objec-ts, I call a transcendental deduction; and from it I distinguish an 54 THE PHILOSOPHY OF KANT. empirical deduction, which simply tells us how a con- ception has been acquired by experience and reflection on experience. The former proves our right to the use of a certain conception, the latter merely points out that as a matter of fact it has come into our possession in a certain way. We had no difficulty in explaining how space and 89 time, although they are themselves known a p7'iori, are yet necessarily related to objects, and make possible a synthetic knowledge of objects which is independent of all experience. For, as it is only by means of these pure forms of sense that we can be conscious of an object in 122 empirical perception, space and time are pure percep- tions, which contain a priori the condition of the pos- sibility of objects as phenomena, and therefore synthesis /y^^- /\vv>C^>- >£^' in them has objective validity. The categories of understanding, on the other hand, are not conditions under which objects are given in ^^~\, ^ perception ; hence objects might certainly be presented ^^T^ to us, even if they were not necessarily related to ^ vA''*^^'^ functions of understanding, as their a priori condition. Here, therefore, a difficulty arises that we did not meet with in the field of sensibility. The difficulty is, how sub- \ , jective conditions of thought should have objective validity, 1 ' or, in other words, how they should be conditions ^^dth- out which no knowledge of objects would be possible. Take, for instance, the conception of cause. Here we 90 have a peculiar sort of synthesis, in which something B is conceived as following upon something else quite different A, in conformity with a rule. It is hard to see why phenomena should be subject to such an a priori conception. Why should not the conception be perfectly 1 TRANSCENDENTAL ANALYTIC. 55 empty, and without any phenomenal object corresponding to it? 123 We cannot avoid the toil of such investigations by 91 saying that experience is perpetually giving us examples of such conformity to law on the part of phenomena, and that we are thus enabled to form an abstract conception of cause, and to be certain of its objective validity. The conception of cause cannot possibly originate in that way ; and hence we must either show that it rests completely a priori upon understanding, or we must discard it 124 altogether as a mere fiction of the brain. For the con- ception demands that something A should be of such a nature that something else B follows from it necessarily^ and in conformity with an absolutely universal rule. No pure conception of understanding can be the product of empirical induction without a complete reversal of its nature and use. 126 The transcendental deduction of all a priori concep- 94 tions must therefore be guided by the principle, that these conceptions must be the a priori conditions of all possible experience. Conceptions which make experience possible are for that very reason necessary. An analysis of the experience in which they occur would not furnish a deduction of them, but merely an illustration of their 127 use. Were they not the primary conditions of all the experience in which objects are known as phenomena, their relation to even a single object would be utterly incomprehensible. / 56 THE PHILOSOPHY OF KANT. Section II. — A Priori Conditions of Experience* It would be quite a sufficient deduction of the 9^ categories, and justification of their objective applica- tion, to show that, apart from them, no object whatever 97 is capable of being thought. But there are two reasons why a fuller deduction is advisable : firstly, because, in thinking an object, other faculties besides understanding, or the faculty of thought proper, come into play ; and, secondly, because it has to be explained how under- standing can possibly be a condition of the knowledge of real objects. We must, therefore, begin with a considera- tion of the primary activities of the subject that are essential in the constitution of experience ; and these we must view, not in their empirical, but in their transcen- dental character. If consciousness were broken up into a number of mutually repellent states, each isolated and separated from the rest, knowledge would never arise in us at all, for knowledge is a whole of related and connected elements. When, therefore, I call sensible perception a synopsis, in order to mark the complexity of its content, it must be remembered that in this synopsis a certain synthesis is implied, and that knowledge is possible only if spontaneity is combined with receptivity. This is the reason why we must say that in all knowledge there is a three-fold synthesis : firstly, the apprehe?ision in perception of various ideas, or modifications of the mind ; secondly, their reproductio7i in imagination ; and, thirdly, their recognition in conception. These three forms of synthesis * AW that comes under this heading is taken from the first edition of the " Critique of Pure Reason," and forms what is called in the preface (p. X.) the " subjective deduction." TRANSCENDENTAL ANALYTIC. 57 point to three sources of knowledge, which make under- standing itself possible, and through it all experience 98 as an empirical product of understanding. I. Synthesis of Apprehension in Perception. Whatever may be the origin of our ideas, whether they are due to the influence of external things or are produced by internal causes, whether as objects they have their source a priori or in experience, as modifications of the 99 mind they must all belong to the inner sense. All knowledge is, therefore, at bottom subject to time as the formal condition of inner Sc^nse, and in time every part of it without exception must be ordered, connected, and brought into relation with every other part. This is a general remark, which must be kept in mind in the whole of our subsequent inquiry. We should not be conscious of the various determina- tions that every perception contains within itself were we not, in the succession of our impressions, conscious of time. If each feeling were limited to a single moment, it would be an absolutely individual unit. In order that the various determinations of a perception, as, for instance, the parts of a line, should form a unity, it is necessary that they should be run over and held together by the mind. This act I call the synthesis of apprehension. It is apprehension^ because it goes straight to perception ; it is synthesis, because only by synthesis can the various elements of perception be united in one object of con- sciousness. Now, this synthesis of apprehension must be employed a priori also, or in relation to determinations not given in sensible experience. Otherwise we should have no 58 THE PHILOSOPHY OF KANT. consciousness of space and time a priori^ for these can loo be produced only by a synthesis of the various determi- nations that are presented by sensibility in its original receptivity. There is therefore a pure synthesis of apprehension. 2. Synthesis of Reproductio7i in Imagination. There is an empirical law of the association of ideas. When any two ideas have often followed, or accompanied each other, an association between them is at last formed, and they are so connected that, even when an object is not present, the mind passes from the one to the other in conformity with a fixed rule. But this law of reproduc- tion presupposes that phenomena are themselves actually subject to such a rule, and that the various elements in these phenomena of which we are conscious should accom- pany or follow one another in accordance with certain rules. On any other supposition our empirical imagina- tion would have nothing to reproduce in any way conforming to its own nature, and would therefore lie hidden in the depths of the mind as a dead, and to us unknown faculty. Were cinnabar, for instance, some- times red and sometimes black, sometimes light and loi sometimes heavy ; or were the same name given at one time to this object, and at another time to that, without the least regard to any rule implied in the nature of the phenomena themselves, there could be no empirical synthesis of reproduction. There must, therefore, be something which makes the reproduction of phenomena possible at all, something which is the a priori ground of a necessary synthetic unity. That this is so, we may at once see, if we reflect TRANSCENDENTAL ANALYTIC. 59 that phenomena are not things in themselves, but are merely the play of our own ideas, and therefore at bottom determinations of the inner sense. Now, if we can show that even our purest a priori perceptions can yield knowledge, only in so far as they involve such a com- bination as makes a thoroughgoing synthesis of reproduc- tion possible, we may conclude that this synthesis of imagination, being prior to all experience, rests upon a priori principles. We must then assume a pure tran- scendental synthesis as the necessary condition of all 102 experience, for experience is impossible unless phenomena are capable of being reproduced. Now, if I draw a line in thought, or think of the time from one day to another, or even think of a certain number, it is plain that I must be conscious of the various determinations one after the other. But if the earlier determinations — the prior parts of the line, the antecedent moments of time, the units as they arise one after the other — were to drop out of my consciousness, and could not be reproduced when I passed on to the later determinations, I should never be conscious of a whole ; and hence not even the simplest and most elementary idea of space or time could arise in my consciousness. The synthesis of reproduction is therefore inseparably bound up with the synthesis of apprehension. And as the synthesis of apprehension is the transcendental ground of the possibility of all knowledge — of pure a priori as well as empirical knowledge — the reproductive synthesis of imagination belongs to the transcendental functions of the mind, and may therefore be called the transcendental faculty of imagination. 6o THE PHILOSOPHY OF KANT. 3. Synthesis of Recognition i?i Conceptions. 103 Were I not conscious that what I think now is identical with what I thought a moment ago, all reproduction in the series of ideas would be useless. The idea reproduced at a given moment would be for me a perfectly new idea. There would be no identical consciousness bound up with the act of producing one idea after another; and as without such consciousness there could be for me no unity, I should never be conscious of the various members of the series as forming one whole. If, in counting, I should forget that the units lying before my mind had been added by me one after the other, I should not be aware that a sum was being produced or generated in the successive addition of unit to unit; and as the conception of the sum is simply the consciousness of this unity of synthesis, I should have no knowledge of the number. At this point it is necessary to have a clear idea of 104 what we mean by an object of consciousness. We have seen that a phenomenon is just a sensation of which we are conscious, and that no sensation can be said to exist by itself as an object outside of consciousness. What, then, do we mean when we speak of an object as corre- sponding to our knowledge, and therefore as distinct from it? It is easy to see that this object can be thought of only as something = x^ for there is nothing beyond know- ledge that we can set up as contrasted with knowledge, and yet as corresponding to it. It is plain that in knowledge we have to do with 105 nothing but the various determinations of our own consciousness; hence the object-^, which corresponds TRANSCENDENTAL ANALYTIC. 6 1 to these determinations, if it is supposed to be distinct from every object of consciousness, is for us nothing at all. The unity which the object demands can be only the formal unity of consciousness in the synthesis of its various determinations. In saying that we know the object, we mean that we have introduced synthetic unity into the various determinations of perception. But this is impossible, if the perception could not be produced by a function of synthesis, which, in conforming to a rule, makes the reproduction of those determinations a priori necessary, and renders possible a conception that unites them. There can be no knowledge without a conception, io6 however indefinite or obscure it may be, and a conception is in form always a universal that serves as a rule. The conception of body, for instance, as a unity of the various determinations thought in it, serves as a rule in our knowledge of external phenomena. Now, it is always a transcendental condition that lies at the foundation of that which is necessary. There must, therefore, be a transcendental ground of the unity of consciousness in the synthesis of the various determinations implied in every perception ; and this ground must be necessary to the conception of any object whatever, and therefore to the conception of every object of experience. In no other way can there be any object for our perceptions; for the object is nothing but that something = ^, the conception of which involves necessity of synthesis. This original and transcendental condition is just transcendental apperception. The consciousness, in internal 107 perception, of oneself as determined to certain states, is merely empirical, and is always changing. In the flux of 62 THE PHILOSOPHY OF KANT. inner phenomena there can be no unchanging or per- manent self. This form of self-consciousness is usually called in7ter sense or empirical apperceptio7i. Now, from empirical data it is impossible to derive the conception of that which must necessarily be numerically identical. What we require, in explanation of such a transcendental presupposition, is a condition that precedes all experience, and makes it possible. No knowledge whatever, no unity and connection of objects, is possible for us, apart from that unity of consciousness which is prior to all data of perception, and without relation to which no consciousness of objects is possible. This pure, original, unchangeable conscious- ness I call transcendental apperceptioji. That this is the proper name for it is evident, were it only that even the purest objective unity, that of the a priori conceptions of space and time, is possible only in so far as perceptions are related to it The numerical unity of this appercep- tion is, therefore, just as much the ^ /;V^r/ foundation of all conceptions as the various determinations of space and time are the a priori foundation of the perceptions of sense. It is this transcendental unity of apperception which io8 connects all the possible phenomena that can be gathered together in one experience, and subjects them to laws. There could be no such unity of consciousness were the mind not able to be conscious of the identity of function, by which it unites various phenomena in one knowledge. The original and necessary consciousness of the identity of oneself is at the same time the consciousness of a necessary unity in the synthesis of all phenomena according to conceptions. These conceptions are TRANSCENDENTAL ANALYTIC. 63 necessary rules, which not only make phenomena capable of reproduction, but determine perception as perception of an object, that is, bring it under a conception of some- thing in which various determinations are necessarily connected together. It would be impossible for the mind to think itself as identical in its various determina- tions, and indeed to think that identity a priori, if it did not hold the identity of its own act before its eyes, and if it did not, by subjecting to a transcendental unity all the synthesis of empirical apprehension, make the con- nection of the various determinations implied in that synthesis possible in accordance with a priori rules. 129 15. Possibility of any Co7nbination whatever j^ Though a perception is merely sensuous or receptive, the various determinations of consciousness may be given, while the form, as simply the way in which the subject is affected, may lie a priori in the mind. But the combina- tion {conjuncfio) of those determinations can never come to us through the medium of sense, and therefore cannot be contained even in the pure form of sensible perception. 130 Combination is a spontaneous act of consciousness, and, as such, it is the especial characteristic of understanding, as distinguished from sense. All combination, therefore, whether we are aware of it or not, whether it is a combina- tion of the various determinations of perception or of several conceptions, and whether the determinations of perception are empirical or pure, is an act of understand- ing. This act we call by the general name of synthesis, to draw attention to the fact that we can be conscious of *What follows (15-27) constitutes the "objective deduction" of the categories, as it appears in the second edition of the *' Critique." 64 THE PHILOSOPHY OF KANT. nothing as combined in the object, which we have not ourselves previously combined. And as it proceeds entirely from the self-activity of the subject, combination is the element, and the only element, that cannot be given by the object. It is easy to see that this act must in its origin always be of one and the same nature, no matter what may be the form of combination ; and that the resolution or analysis^ which seems to be its opposite, in point of fact always presupposes it. If understanding has previously combined nothing, there is nothing for it to resolve ; for without the combining activity of understanding there can be no consciousness of an object at all. By combination, however, must be understood not merely the synthesis of the various determinations of sense, but also their unity. Combination is con- 131 sciousness of the syntheticunity of various determinations. The consciousness of this unity cannot be the result of the combination, for were we not, in being conscious of various determinations, also conscious of their unity, we should have no conception of combination at all. Nor must this unity, which precedes any conception of combination, be confused with the category of unity (10); for all categories rest upon logical functions of judgment, and, in these, combination, or the unity of given conceptions, is already implied. For an explana- tion of the unity in question, which is qualitative (12), we must go further back, and seek it in that which, as the gi-ound of the unity of various conceptions in judgment, is implied in the possibility even of the logical use of understanding. TRANSCENDENTAL ANALYTIC. 65 16. The origi?ial Synthetic iinity of Apperception. The " / think " must be capable of accompanying all 132 my ideas; for, otherwise, I should be conscious of some- thing that could not be thought ; which is the same as saying, that I should not be conscious at all, or at least should be conscious only of that which for me was nothing. Now, that form of consciousness which is prior to all thought, is perceptio7i. Hence, all the manifold determinations of perception have a necessary relation to the '■^ I think^^ in the subject that is conscious of them. The "/ think" however, is an act of spontaneity, which cannot possibly be due to sense. I call \\. pier e appercep- tion^ to distinguish it from empirical apperceptio?i. I call it also the original apperceptio?i, because it is the self- consciousness which produces the "/ thinks Now, the " / think " must be capable of accompanying all other ideas, and it is one and the same in all con- sciousness ; but there is no other idea beyond the *' / think^^ to which self-consciousness is bound in a similar way. The unity of apperception I call also the transcendental tmity of self-consciousness, to indicate that upon it depends the possibility of a priori knowledge. For, the various determinations given in a certain per- ception would not all be in my consciousness, if they did not all belong to one self-consciousness. True, I may not be aware of this, but yet as they are determinations of my consciousness, they must necessarily conform to the condition, without which they are not capable of standing 133 together in one universal self-consciousness. In no other way would they all without exception be mine. From this original combination important consequences follow. 66 THE PHILOSOPHY OF KANT. The absolute identity of apperception in relation to all the determinations given in perception, involves a synthesis of those determinations, and is possible only through consciousness of the synthesis. For, the empirical consciousness, which accompanies each deter- mination as it arises, is in itself broken up into units, and is unrelated to the one identical subject. Relation to a single subject does not take place when I accompany each determination with consciousness, but only when I add one determination to the other, and am conscious of this act of synthesis. It is only because I am capable of combining in one consciousftess the various determina- tions presented to me, that I can become aware that in every one of them the consciousness is the same. The analytic unity of apperception is, therefore, possible only 134 under presupposition of a certain synthetic unity. The thought, that the determinations given in a perception all belong to me, is the same as the thought, that I unite them, or at least that I am capable of uniting them in one self-consciousness. This does not of itself involve a consciousness of the synthesis of determinations, but it pre- supposes the possibility of that consciousness. It is only because I am capable of grasping the various deter- minations in one consciousness, that I can call them all mine ; were it not so, I should have a self as many- coloured and various as the separate determinations of which I am conscious. Synthetic unity of the various detenninations of perception as given a priori^ is therefore the ground of that identity of apperception itself, which precedes a priori every definite act of thought. Now, objects cannot combine themselves, nor can understanding learn that they are combined by TRANSCENDENTAL ANALYTIC. 67 135 observing their combination. All combination is the work of understanding, and in fact understanding is itself nothing but the faculty of combining a priori^ and bringing under the unity of apperception, the various determinations given in perception. The unity of apperception is, therefore, the supreme principle of all our knowledge. This principle of the necessary unity of apperception, is no doubt in itself an identical and therefore an analytic proposition; but it also reveals the necessity for a synthesis of the various determinations given in percep- tion, because without such synthesis the thoroughgoing identity of self-consciousness is inconceivable. In the simple consciousness of self, no variety of determination is given ; such variety of determination can be given only in the perception which is distinguished from the consciousness of self, and can be thought only by being combined in one consciousness. An understanding in which the consciousness of self should at the same time be a consciousness of all the complex determinations of objects, would be perceptive) but our understanding can only think, and must go to sense for perception. I am conscious of my self as identical in the various determina- tions presented to me in a perception, because all determinations that constitute one perception I call mine. But this is the same as saying, that I am conscious of a necessary synthesis of them a priori^ or that they rest upon the original synthetic unity of apperception, under 136 which all the determinations given to me must stand, but under which they can be brought only by means of a synthesis. 68 THE PHILOSOPHY OF KANT. 17. The syjithetic unity of Apperception is the sup7'eme principle of U?idersta?iding. In the Transcendental Esthetic, we have seen that the supreme principle, without which perception in its relation to sensibility is impossible, is, that all the determinations of perception should stand under the formal conditions of space and time. Now, the supreme principle, without which perception, in its relation to understanding is impossible, is, that all determinations of perception should stand under conditions of the original synthetic unity of apperception. Under the former stand all determinations of perception, in so far as they are given to us ; under the latter, in so far as they must be 137 capable of being co?nbi?ied in one consciousness. Apart from the synthetic unity of apperception, nothing can be thought or known, because the determinations given in perception, not having the act of apperception, " / ////;^/('," m common, would not be comprehended in one self- consciousness. Speaking quite generally, understanding is the faculty of knowledge. Knowledge consists in the consciousness of certain given determinations as related to an object. An object, again, is that, in the conception of which the various determinations of a given perception are united. Now, all unification of determinations requires unity of consciousness in the synthesis of the determinations. Hence, the unity of consciousness is absolutely necessary, to constitute the relation of determinations to an object, give them objective validity, and make them objects of knowledge ; and on that unity therefore rests the very possibility of understanding. TRANSCENDENTAL ANALYTIC. 69 The principle of the original synthetic unity of apperception, as being completely independent of all conditions of sensuous perception, is the first pure cog- nition of the understanding, upon which all its further use depends. Space, as the mere form of external sensuous perception, does not of itself yield any knowledge : it but supplies the various elements of a priori perception that are capable of becoming 138 knowledge. To know anything spatial, as, for instance a line, I must draw it, and so produce by synthesis a definite combination of the given elements. Thus, the unity of the act of combination is at the same time the unity of the consciousness in which the line is thought, and only in this unity of consciousness is a determinate space known as an object. The synthetic unity of consciousness is, therefore, an objective con- dition of all knowledge. It is not merely a condition which I must observe in knowing an object, but it is a condition under which every perception must stand, before it can become an object for me at all. Without this synthesis, the various determinations would not be united in one consciousness. Although it is thus proved, that the synthetic unity of consciousness is the condition of all thought, the unity of consciousness, as has been already said, is in itself an analytic proposition. For, it says only, that all the determinations of which /am conscious in a given per- ception must stand under the condition, which enables me to regard them as mine^ or as related to my identical self, and so to comprehend them as synthetically com- bined in one apperception, through the "/ tJwik^^ expressed in all alike. 70 THE PHILOSOPHY OF KANT. But this is not the principle of every possible under- standing, but only of an understanding, through the pure apperception of which, in the consciousness "/«ot," no 139 determinations are given. If we had an understanding, which, by its mere self-consciousness, presented to itself the manifold determinations of perception ; an under- standing, which, by its very consciousness of objects, should give rise to the existence of these objects ; such an understanding would not require, for the unity of con- sciousness, a special act of synthesis of manifold deter- minations. But this act of synthesis is essential to human understanding, which thinks, but does not perceive. It is, indeed, the supreme principle of human understanding. Nor can we form the least conception of any other possible understanding, whether of one that itself perceives, or of one that is dependent upon sensibility for its perception, but not upon a sensibility that stands under the conditions of space and time. 18. Objective unity of Self-consciousness. The transcendental unity of apperception is that unity through which all the determinations given in a percep- tion are united in a conception of the object. It is, accordingly, called objective^ and must be distinguished from the subjective unity of consciousness, which is a deter mitiation of the inner sense, through which the complex of perception is given empirically to be com- bined into an object. Whether I shall be empirically conscious of certain determinations as simultaneous, or 140 as successive, depends upon circumstances, or empirical conditions. Hence, the empirical unity of consciousness, TRANSCENDENTAL ANALYTIC. 7 I through the association of the elements of perception, is itself a phenomenon, and is perfectly contingent. But the pure form of perception in time, as merely perception in general, stands under the original unity of conscious- ness just because the various determinations given in it are necessarily related to an "/ thinks It therefore stands under that original unity by means of the pure synthesis of understanding, which is the a priori ground of the empirical synthesis. Only the original unity of apperception is objective; the empirical unity, with which we are not here concerned, and which besides is only derived from the other, under given conditions in conc7'efo, is merely subjective. To one man, for instance, a certain word suggests one thing, to another a different thing. In what is empirical, the unity of consciousness does not hold necessarily and universally of that which is given. 19. The Logical Form of all Judgments consists in the objective unity of the Apperception of the Co?iceptio?is they cont ~ experience would be a sort of generatio aeqiiivoca. The alternative supposition, which involves what may be called an epigenesis of pure reason, must therefore be adopted, and we must hold that the categories, as pro- ceeding from understanding, contain the grounds of the possibility of any experience whatever. 168 Short Statement of the Deduction. What has been shown in the deduction of the cate- gories is that the pure conceptions of understanding, on TRANSCENDENTAL ANALYTIC. 83 which all theoretical a priori knowledge is based, are principles that make experience possible. In other 169 words, they are principles for the general determination of phenomena in space and time, a determination that ultimately flows from the principle of the origifial syn- thetic unity of apperception as the form of understanding in relation to space and time, the original forms of sensibility. \ BOOK II.— THE ANALYTIC OF JUDGMENTS 171 Transcendental Judgment. 132 If understanding is called the faculty of rules, judgment will be the faculty of suhsujnption under rules, that is, the faculty of deciding whether something stands under a given rule or not {casus datae legis). Now pure general logic does not, and indeed cannot, lay down rules for the application of judgment. For, as it abstracts from all the cofitent of knowledge, its sole business is to analyze the 172 pure form of knowledge, as expressed in conceptions, ^ZZ judgments, and inferences, and from this analysis to derive formal rules for the general use of understanding. 174 The business of transcendental logic, on the other hand, 135 is to lay down definite rules which may enable judgment to make a correct and certain use of the conceptions of understanding. For transcendental philosophy has the peculiarity that it not only brings to light the rules, or rather the universal condition of rules, implied in the 175 pure conceptions of understanding, but it is able also to indicate a priori the case to which each rule should be 84 THE PHILOSOPHY OF KANT. applied. The reason of its superiority in this respect over all other theoretical sciences, except mathematics, is that the conceptions with which it deals relate to objects a priori. The transcendental doctrine of judgment consists of 136 two chapters. The first treats of the sensuous condition without which no pure conceptions of understanding can be used. This is called the schematism of understanding. The second deals with the synthetic judgments, which arise a priori \N\].en the pure conceptions of understanding are brought into use under that condition, and which underlie all other a priori knowledge. It treats, in other words, of the principles of pure understanding. 176 Chapter I. — The Schematism of the Categories. 137 In all subsumption, the object of which we are conscious must be homogeneous with the conception under which it is brought ; in other words, the conception must contain some determination that is also present in the object subsumed under it. This in fact is what we mean when we say that an object is contained under a conception. The empirical conception of a piaie, for instance, is homogeneous with the pure geometrical conception of a circle, because the roundness which is thought as a deter- mination of the plate is presented as a perception in the circle. Now, a pure conception, or category, is quite hetero- geneous from an empirical perception, or indeed from any sensuous perception, and hence no pure concep- tion can ever be found realized in a perception. No 177 one will say that the category of cause can be made TRANSCENDENTAL ANALYTIC. 85 visible to sense, or can be presented in a particular perception as a property of it. How then can a percep- tion be subsumed under a pure conception? How can a category be applied in determination of an object of sense? It is because this very natural and very important 138 question demands an answer that a transcendental doc- trine of judgment is necessary. It must be shown how pure conceptions of understanding can possibly be applied to phenomena. In other sciences it is not necessary to show that conceptions are applicable to objects, because the general conception of the object is not in the same way distinct and heterogeneous from the object as presented in concrefo. Manifestly there must be some third thing, which is homogeneous on the one hand with the category, and on the other hand with the object of sense, and which thus makes the application of the one to the other possible. This mediating idea must be pure, or free from any empirical element, and yet it must be at once intellectual and sensuous. Such an idea is the transcendental schema. The category contains the pure synthetic unity of any elements of which we can be conscious as different. Time, as the formal condition of the various determina- tions of inner sense, and therefore of the connections of all our ideas, contains a priori m pure perception a variety of differences. Now, a transcendental determination of time is so far homogeneous with the category which 178 gives unity to it, that it is universal, and rests upon an a priori rule. But, on its other side, that determination is to a certain extent homogeneous with the object of sense, since time is present in every object of which we can be empirically conscious. By means of the transcendental 86 THE PHILOSOPHY OF KANT. determination of time or schema, the category may there- fore be applied to phenomena, or, what is the same thing, the phenomenon may be subsumed under the category. 179 In itself a schema is merely a product of imagination ; 140 but, as in producing it imagination does not seek to set before itself an individual object of perception, but to produce unity in the general determination of sensibility, we must distinguish between the schema and the image. If I set down five points one after the other, thus I have before me an image of the number five. But if I think simply of number — of any number at all, be it five or a hundred — my thought is rather of the method by which a certain sum, say a thousand, may be presented in an image, in conformity with a certain con- ception, than itself an image. It would, in fact, be very hard to compare the image of so large a number as a thousand with the conception of it. Now, the conscious- 180 riess of a universal process of imagination, by which an image is provided for a conception, is what I call the schema of a conception. In point of fact, schemata, and not images, lie at the foundation of our pure sensuous conceptions. No image 141 of a triangle can ever be adequate to the general conception of triangle. The conception includes all triangles — right-angled, obtuse-angled, etc. ; and, hence, the image which I can set before myself can never reach to the universality of the conception, but occupies only a part of its sphere. The schema of the triangle can exist nowhere but in thought : it is simply a rule for the synthesis of imagination, in the determination of pure figures in space. Much less can a single object of experience, or an image of a single object, reach to the TRANSCENDENTAL ANALYTIC. 87 universality of an empirical conception. The direct relation of an empirical conception is to the schema of imagination, or the rule by which a perception is deter- mined in conformity with that conception. The concep- tion of a dog, for instance, is a rule for the guidance of imagination in tracing out the figure of a certain four- footed animal ; but it cannot be restricted to any single determinate figure that experience can supply, nor can it even be presented in concreto in any possible image that I am capable of imagining. This schematism of our under- standing, in its application to phenomena and to their pure form, is an art hidden away in the depths of the jgj human soul, the secret of which we need not hope to drag forth to the light of day. This much may be said : that the i??iage is a product of the empirical faculty of productive imagination; while the schema of sensuous conceptions, as, for instance, of figures in space, is a 142 product, and as it were a monogram, of pure a priori imagination, which makes the consciousness of an image possible at all. An image is necessarily connected with a conception through the schema, and is in no case quite congruent with the conception. But what distinguishes the schema of a pure conception of understanding as such, is that it cannot be presented in an image at all, but is simply the pure synthesis, which conforms to a rule of unity expressed in the category. Such a schema is a transcendental product of imagination. It is a determina- tion of the inner sense according to conditions of its form of time in view of all ideas, a determination which is necessary, if ideas are to be brought together a priori in one conception, in conformity with the unity of apperception. 88 THE PHILOSOPHY OF KANT. 182 The pure image of all magnitudes {quanta) that are presented in outer sense is space ; the pure image of all objects of sense, inner as well as outer, is time. But quantity {qua7ititas\ as a conception of understanding, has as its schema nu7nbej'^ or the idea of the successive addition of homogeneous unit to homogeneous unit. Number is, therefore, the unity of synthesis implied in i43 putting together any homogeneous units of perception whatever, a unity which results from the generation of time itself in the apprehension of the perception. The category of reality is the conception of that which corresponds to any sensation whatever, and therefore of that, the very idea of which is that it has being in time ; the category of negation is the conception of that, the very idea of which is that it has no being in time. The opposition of reality and negation therefore rests upon the distinction between a time as filled and the same time as empty. And, as time is merely the form of per- ception, that which in the phenomenon corresponds to sensation is the transcendental matter, or reality, of all objects as actual things. Now, every sensation has a degree or magnitude by which it is capable of filling the same time more or less, or, in other words, of occupying the inner sense, with more or less comj^leteness, down to the vanishing point ( = o = negatio). Hence, there is 183 a relation and connection, or rather a transition from reality to negation, which makes us capable of setting every reality before ourselves as a quantum. The schema of reality, as the quantity of something so far as it fills a time, is just this continuous and uniform generation of reality in time, by the gradual descent from a sensation that has a certain degree in time to its disappearance, or, TRANSCENDENTAL ANALYTIC. 89 what is the same thing, the gradual ascent from the negation of sensation to its definite degree. The schema of substance is the permanence of the i44 real in time, or the idea of the real as presupposed in the empirical determination of time, and as persisting while all else changes. Time does not itself pass away, but the changeable in time passes away in its particular being. What corresponds in the phenomenon to time, which is in itself unchangeable and permanent, is the unchangeable in existence, or substance; and only in reference to substance can the succession and the co-existence of phenomena be determined in time. The schema of cause, and of the causality of a thing in general, is the real which is supposed never to exist without being followed by something else. It consists, therefore, in the succession of various determinations, in so far as that succession is subject to a rule. The schema of community (reciprocal action), or of the reciprocal causality of substances as regards their 184 accidents, is the co-existence in conformity with a uni- versal rule of the determinations of one substance with those of another. The schema of possibility is the harmony of the synthesis of different ideas with conditions of time in general. Opposites, for instance, cannot exist in the same thing at the same time, but only the one after the other. The schema of possibility therefore determines how a thing is capable of being known at any time. The schema of actuality is existence in a determinate 145 time. The schema of necessity is the existence of an object at all times. 9© THE PHILOSOPHY OF KANT. From all this it is plain that the schema of every one of the categories is in some way relative to time. The schema of quantity is the generation or synthesis of time itself in the successive apprehension of an object; the schema of quality, the synthesis of sensation, as implied in observation, with the consciousness of time, or, in other words, it is the filling up of time ; the schema of relation, the relation of different perceptions to one another at all times, or in conformity with a rule for the determination of time ; lastly, the schema of modality, in its three forms, time itself as the correlative of the determination whether and how an object belongs to time. The schemata are, therefore, just ^/r/«??'/ determi- nations of time in conformity with rules. Following the order of the categories, we find that these rules, which 185 apply to all possible objects of experience, relate to the series of ti7?ie, the conie?it of time^ the order of time, and the coniprehe7isio7i of time. We thus see that the schematism of understanding, through the transcendental synthesis of imagination, is neither more nor less than the way in which the various determinations of perception are reduced to unity in the inner sense, and so indirectly to the unity of apperception, the function that corresponds to the receptivity of inner sense. The schemata are, therefore, the true and only 146 conditions under which the categories obtain significance, by being brought into relation with objects. In the end, therefore, the categories have no other application than to objects of a possible experience. They merely serve to bind phenomena together under universal rules of synthesis, by means of a necessary a priori unity that has its source in the necessary combination of all conscious- TRANSCENDENTAL ANALYTIC. 9I ness in the original unity of apperception. Thus it is that the categories make phenomena fit for a thorough- going connection in one experience. Within this whole of possible experience all our know- ledge lies, and in the universal relation to possible experience consists that transcendental truth which precedes empirical truth and makes it possible. But no one can fail to see that, although only the 186 schemata of sensibility can realize the categories, they none the less restrict them. For the schemata limit the categories by conditions that lie outside of understanding and in sensibility. The schema is in harmony with the category, but it is properly merely the sensuous appear- ance or sensuous conception of an object. Now, it is naturally supposed that the sphere of a conception previously restricted is enlarged when the restriction is taken away. Hence it may be thought that the categories 147 in their purity, or apart from all conditions of sensibility, hold true of things as they really are ; while the schemata present them only as they appear. On this view the categories will have a much wider meaning than the schemata, and will be quite independent of them. And this is so far true that, even apart from all sensuous con- ditions the categories are not meaningless, for they still have the logical meaning of the unity of our ideas of ob- jects. But no conception has in itself objective meaning, because, apart from the conditions of sensibility, there is no object to which it can be applied. Substance, for instance, viewed apart from the sensuous determination of permanence, simply means, that which can be thought only as subject, never as the predicate of anything else. 187 But such an idea has no meaning for us, because it tells 92 THE PHILOSOPHY OF KANT. US nothing whatever about the actual nature of the thing that is thought to be an ultimate subject. Without schemata, therefore, the categories are only functions of understanding for conceptions, and give no knowledge of objects. Meaning comes to them from sensibility, and sensibility realizes understanding only by restricting it. Chapter II. — Principles of Pure Understanding. 148 In the preceding chapter, we have considered the transcendental faculty of judgment with reference only to the universal conditions, under which it is justified in employing the categories for the production of synthetic judgments. We have now to set forth, in systematic order, the judgments which understanding, under that critical provision, actually produces a priori. The table of categories will no doubt be a safe and natural 200 guide. Accordingly we find that all the principles of 161 pure understanding are — I . Axioms of Perception. 2. Anticipations of 3. Analogies of Observation. Experience. 4. Postulates of Empirical Thought. I. Axioms of Perception. 202 -^ ^ The principle of these is : All perceptions are extensive magnitudes. Pf'oof. 203 By an extensive magnitude, I mean a magnitude in 162 which the idea of the parts necessarily precedes and makes possible the idea of the whole. I cannot have TRANSCENDENTAL ANALYTIC. 93 the idea of a line, however small it may be, with- out drawing it in thought ; only by producing its parts one after the other, beginning from a certain point, do 163 I mark out the line as a perception. Similarly with every portion of time, even the smallest. I am con- scious of time only in the successive advance from one moment to another, and it is by the addition of all the parts that a definite quantity of time is at last generated. Now, either space or time is present in every 204 phenomenon as its pure element ; and as this pure element can be known in apprehension only by a successive synthesis of part with part, every perception is an extensive magnitude. No phenomenon, therefore, can be perceived at all without being perceived as an aggregate or collection of previously given parts, a characteristic which does not hold good of every sort of magnitude, but only of those magnitudes, which, from their very nature, are apprehended and presented in consciousness as extensive. On this successive synthesis of productive imagina- tion in the generation of figures. Geometry, as the mathematics of extension, is based. The axioms of geometry express the conditions of sensuous perception a priori^ without which no schema of any pure concep- tion of an external object is possible ; as, for instance, that between any two points only one straight line can be drawn ; that two straight lines cannot enclose a space, etc. Such axioms as these properly apply only to magnitudes (^quanta) as such. As to quantity {quantiias), that is, the answer to the question how large a thing is, there are, strictly speaking, no axioms, although several of the propositions referring 164 94 THE PHILOSOPHY OF KANT. to it are synthetic and immediately certain {indemon- strabilia). The propositions, that if equals be added to equals the wholes are equal, and that if equals be taken from equals the remainders are equal, are analytic pro- 205 positions ; for I am directly conscious that the quantity generated in the one case is identical with the quantity generated in the other ; these propositions, therefore, have no title to be called axioms, which must needs be a priori synthetic propositions. There are, indeed, simple numerical propositions which are synthetic ; but, unlike the synthetic propositions of geometry, they are not universal, and therefore even they cannot be called axioms, but only numerical formulae. That 7 + 5 = 1 2 is not an analytic proposition. For neither the idea of 7, nor that of 5, nor the idea of the combination of the two, yields the number 12. But, while it is synthetic, the proposition 7 + 5 = 12 is merely individual. The synthesis of the homogeneous can here take place only in one way, although no doubt the numbers may afterwards be employed universally. If I say that a triangle may be constructed out of three lines, any two of which are together greater than the third, I have before my mind the mere function of productive imagination, which may draw the lines greater or smaller, and bring them 165 together in all sorts of angles at will. On the other hand, the number 7 is possible only in one way, and the number 12 can be produced only by the synthesis of 5 206 with it. If mere numerical formulae like this are to be called axioms, the number of axioms will be infinite. This transcendental principle of the mathematics of nature greatly enlarges our api'iori knowledge. It shows, as nothing else can show, that mathematics in all its TRANSCENDENTAL ANALYTIC. 95 precision is applicable to objects of experience ; and this, so far from being self-evident, has been the occasion of much controversy. Phenomena are not things in them- selves. Empirical perception is possible only through the pure perception of space and of time ; and, therefore, whatever geometry says of pure perception is beyond dispute true also of empirical perception. All attempts to evade this conclusion, by showing that objects of sense need not conform to the rules of geometrical construction — for instance, the rule of the infinite divisi- bility of lines and angles — must be at once set aside. Were such a contention true, the objective truth of geometry, and therefore of all mathematics, would be overthrown, and it would be impossible to say why and how far mathematics should be applied to phenomena at all. The synthesis of spaces and times, as the essential forms of all perception, is that which makes the appre- hension of a phenomenon even possible, and hence it is 166 the condition of all external experience, and so of all knowledge of external objects. Whatever pure mathe- matics proves to be true of space and time must necessarily hold good of all external objects. All objections to the 207 truth of applied mathematics are but the chicanery of an ill-advised reason, which wrongly seeks to free objects of sense from the formal condition of our sensibility, and to treat them as if they were things in themselves apprehended by understanding. If phenomena were really things in themselves, we could know nothing what- ever of them a priori ; and as no synthetic judgments can be based upon pure conceptions of space, geometry, as the science of the properties of space, would itself be impossible. g6 THE PHILOSOPHY OF KANT. 2. Anticipations of Observation. The principle of these is : In all phenomena the real, which is an object of sensation, has intensive magnitude or degree. Proof. 209 If it should turn out that in all sensations as such, how- 167 ever they may differ from one another, there is something that can be known a priori ; this would, in a very special sense, deserve to be called an anticipation. For by this name we should call attention to the remarkable fact that it is possible to say something a priori about the nature of empirical objects, that is, about that very element in them which is due to experience. If no heed is paid to the succession of different sensations, apprehension by means of mere sensation is found to occupy only a moment. Here there is no successive synthesis, advancing from the consciousness of the parts to the consciousness of the whole, and therefore that in the phenomenon which is called sensation has no extensive magnitude. The absence of sensation from the moment that it fills would therefore carry with it the 210 consciousness of that m.oment as empty = 0. Now that 168 which in empirical perception corresponds to sensation is reality {realitas phaenome?ion) ; that which corresponds to the absence of sensation is negation = o. But every sensation is capable of diminution, so that it can decrease and gradually disappear. Between reality in the pheno- menon and negation, there is, therefore, a continuous series of many possible intermediate sensations, the difference between any two of which is always less than the difference between the given sensation and zero or TRANSCENDENTAL ANALYTIC. 97 complete negation. That is to say, the real in the phenomenon always has a quantity, but of this quantity there is no consciousness in apprehension, because apprehension, so far as it is due to the inner sensation, takes place in one moment, and does not consist in a successive synthesis of different sensations, and there- fore does not advance from the parts to the whole. Hence the real has magnitude, but not extensive magnitude. Now, a magnitude that is apprehended only as unity, plurality being conceived in it as simply approximation to negation = o, I call an intensive inagjtitude. Every reality in a phenomenon has therefore intensive magni- tude or degree. This reality may be regarded as a cause, either of sensation or of some other reaHty in the pheno- menon, for instance, a change. The degree of reality is then called momentum^ as when we speak of the momen- tum of gravity, to indicate a quantity, the apprehension of i6^ which is not successive but instantaneous. I make this remark merely in passing, for this is not the place to treat of causality. 211 Every sensation, then, and consequently every reality in a phenomenon, however small it may be, has an intensive magnitude or degree that can always become less, and between reality and negation there is a con- tinuous series of possible realities, and of possible smaller perceptions. The colour red, for instance, has a degree which, however small it may be, is never the smallest possible j and so with heat, the momentum of gravity, etc. The property of magnitudes, by which no part in them is the smallest possible, or no part is simple, is called their continuity. Space and time are quanta continua^ because 98 THE PHILOSOPHY OF KANT. no part of them can be presented that is not enclosed between limits (points or moments), and therefore each part of space is itself a space, each part of time is itself a time. Space consists only of spaces, time of times. Points and moments are but limits, that is, mere places of limitation in space and time, and as such always presuppose the perceptions which they are to limit or determine. Mere places are not constituent parts, which can be given prior to space or time, and out of which 170 space and time can be made up. Such magnitudes may also be called y?z^^;//, because the synthesis of productive imagination, by which they are generated, is a progression 2 1 2 in time, the continuity of which is usually designated by the \.^x\xiflux oxfloivmg. All phenomena are continuous magnitudes, and that in two ways : as pure perceptions, they are continuous extensive magnitudes, and as perceptions of sense contain- ing sensation, and therefore reality, they are continuous intensive magnitudes. When the synthesis of determina- tions is interrupted, we have an aggregate of various objects of sense, not a single phenomenon as a quantum. Such an aggregate is produced, not by continuing without break the productive synthesis with which we begin, but by continually renewing a synthesis that is continually coming to an end. As all phenomena, whether they are viewed extensively 171 213 or intensively, are continuous magnitudes, the continuity of all change, or transition of a thing from one state into another, might readily be proved here, and indeed proved mathematically. But the causality of a change, as pre- supposing empirical principles, does not come within the province of transcendental philosophy. Understanding TRANSCENDENTAL ANALYTIC. 99 can give us no hint a priori that there can be a cause, which is capable of changing the state of things, that is, determining them to the opposite of a given state. It is not simply that we cannot understand a priori how this can take place — for there are many other instances of a similar failure in a priori knowledge, — but that only certain determinations of objects are capable of change at all, and what these determinations are we can learn only from experience, although no doubt the cause must lie in that which is unchangeable. The only data that we have here before us, are the pure conceptions implied in all possible experience, which contain nothing empirical ; nor can we avail ourselves of the primary facts of experi- ence which lie at the foundation of pure physics without 172 destroying the unity of our system. At the same time, there is no difficulty in showing that the principle of understanding now under consideration is of great value in enabling us to anticipate perceptions of sense, and even to some extent to supply their place, by guarding us against all false inferences that might be drawn from their absence. 214 If all reality in perception has a degree, between which and negation there is an infinite series of ever smaller degrees, and if each sense must have a definite degree of receptivity for sensations, it is evident that no perception, and therefore no experience, can prove, directly or indi- rectly, by any possible ingenuity of reasoning, that a phenomenon is absolutely destitute of reality. That is to say, there is no way of proving from experience that there is empty space or empty time. For, in the first place, the complete absence of reality from a perception of sense can never be observed ; and, in the second place, lOO THE PHILOSOPHY OF KANT. the absence of all reality can never be inferred from any variation in the degree of reality of a phenomenon, nor ought it ever to be brought forward in explanation of that variation. For, although the whole perception of a certain definite space or time is real through and through, so that no part of it is empty ; yet, as every reality has a degree, which may diminish by infinite degrees down to nothing (the void), while the extensive magnitude of the 173 phenomenon remains unchanged, there must be an infinity of degrees with w^hich space or time may be filled ; hence the intensive magnitude may be greater or less in different phenomena, although the extensive magnitude of the perception remains the same. 217 The quality of sensation — colour, taste, etc., — is always 175 merely empirical, and cannot be known a priori. But the real that corresponds to sensations in general, and is opposed to negation = o, stands merely for that the very conception of which implies being, and it has, therefore, no other meaning than the synthesis in empirical con- sciousness generally. In the inner sense, that empirical [^5 consciousness can be raised from o to any higher degree, so that the extensive magnitude of a perception may be greater or less, even when the intensive magnitude remains the same. Thus, the degree of sensation excited by an illuminated surface, may be as great as that pro- duced by a number of less illuminated surfaces, the aggregate extent of which is twice as large. In consider- 2 18 ing the intensive magnitude of a phenomenon, we may, therefore, abstract entirely from its extensive magnitude, and think only of the sensation, filling a single moment, as generated by a synthesis that advances uniformly from o to the given empirical consciousnes. Thus, while all TRANSCENDENTAL ANALl'TlC. lOl" ' sensations as such are given a posteriori, it can be known a priori that to all belongs the property of having a degree. It is remarkable that of quantity in general only a single quality — the quality of continuity, can be known a priori, but that of quality, or the reality of phenomena, nothing more than the intensive quantity, or the posses- sion of degree, can be known a priori, while all else has to be learned from experience. 3. Analogies of Experience. The principle of these is : Experience is possible only, through the consciousness of a necessary connection of perceptions of sense. Proof. 219 The three w^/// of time zxq permanefice, successioji, and 177 co-existence. All the relations of phenomena in time will therefore be expressed in three rules, which precede all experience and make it possible at all. These rules state all the conditions under which phenomena can possibly exist, in conformity with their unity in time. 220 The principle of all three analogies rests upon the neces- sary unity of apperception in all empirical consciousness, or perceptions of sense, «/ every moment of time. And as the unity of apperception is the a priori condition of all perception, that principle is based upon the synthetic unity of all phenomena as regards their relation in time. The original apperception is related to the inner sense, which contains all possible objects of consciousness, or, more exactly, it is related a priori to the form of inner sense, as the manner in which the manifold determinations of empirical consciousness are ordered in time. Now, in I02 THE PHILOSOPHY OF KANT. original apperception all those determinations are to be united, as regards their relations in time ; for nothing can enter into my knowledge, or be mine, nothing can be for me an object, that does not stand under the a priori transcendental unity of apperception. This synthetic unity in the temporal relation of all perceptions is, there- fore, determined a priori, and is expressed in the law, that all empirical determinations in time must stand under universal rules of determination in time. The 178 Analogies of Experience must therefore be rules of this kind. These Analogies have the peculiarity, that they are not concerned with the synthesis of empirical perception, implied in the consciousness of objects of sense, but only with the existence of such objects, and the relations to one another by which their existence is determined. Now, a 221 phenomenon may be so determined a priori,\h?i\. the rule of its synthesis yields at once the perception which is presented to us in every empirical instance of it ; or, in other words, the rule may not only tell us the character of the synthesis, but may set the object before us as a perception. But the existence of phenomena cannot thus be known a priori. We may indeed in this way come to know that something exists, but we cannot definitely know what it is, nor can we anticipate how it will differ from other objects, when it is empirically perceived. The two principles already discussed, which I called mathematical, to indicate that they justify the application of mathematics to objects of sense, showed merely how phenomena were possible, and how their perceptive form, as well as the real of sense perception, could be generated in conformity with rules of a mathe- TRANSCENDENTAL ANALYTIC. I03 matical synthesis. Both principles, therefore, entitle us to estimate phenomena numerically and quantitatively. The degree of sensation of sunlight, for instance, may be 179 determined a priori^ or constructed, by putting together, say, 200,000 illuminations of the moon. Those princi- ples may therefore be called constitutive. It is quite different with the principles that show how the existence of phenomena comes under a priori rules. 222 Existence cannot be constructed ; all that can be done is to state the rules that determine the relations of existence, and these rules yield only regulative principles. Here, therefore, there can be neither axioms nor anticipations. If in observation something is presented as related in time to something else, as yet unknown, it is impossible to tell what that something else may be, or what may be its magnitude ; all that we can tell is how the two per- ceptions, to exist at all, must be connected with each other An analogy of experience is, there- 180 fore, merely a rule which states the conditions under which observations of sense may be reduced to the unity of experience. Incompetent to tell us the conditions of observation, so far as its empirical element is concerned, it is not a principle constitutive of objects of sense or phenomena, but is merely regulative. In like manner, the postulates of empirical thought are regulative prin- ciples. The certitude is as great for the regulative as for the mathematical or constitutive principles, for both are a priori^ but the kind of evidence is different. 762 In regard to the general method of proof in philosophy, 7^4 it must be observed that a demonstratio?i is an apodictic proof which rests upon direct perception. But, in the 104 THE PHILOSOPHY OF KANT. case of discursive knowledge, even those judgments which are based upon ^/n'm conceptions, and are there- fore apodictic, cannot be proved by a direct appeal to perception. It is only mathematics that admits of demonstrative evidence, for mathematics alone derives its knowledge, not from conceptions, but from the con- struction of conceptions — that is, from the perception which corresponds to certain conceptions and can be presented a priori. Even the solution of an algebraic equation is a process of construction, though not of geometrical construction ; for, it consists in presenting conceptions in perception by means of symbols, and especially conceptions of the relation of quantities. Although, therefore, in its method algebra is not heur- istic, it is able to guard against error in its results by placing all the conceptions that it employs directly before the eyes. But, while mathematics views the universal in coficreto — that is, in pure perception, where every error be- comes immediately visible — philosophical knowledge has to dispense with this advantage, and to consider the univer- 763 sal in abstractor or through the medium of conceptions. It is therefore contrary to the true spirit of philosophy, 735 and especially of pure philosophy, to boast of its dogmatic procedure, and to bedeck itself with the orders and the titles of mathematics. Such empty boasts can only retard the progress of philosophy, and prevent it from detecting the illusion into which reason falls when it is unaware of its true limits. 764 Apodictic propositions may be distinguished as either 736 dogmata or niathcmata. By a dogma is meant a synthetic proposition which is directly derived from conceptions ; by a mathetna^ one that is obtained by the construction TRANSCENDENTAL ANALYTIC I05 of a conception. Of these two classes of a priori synthetic propositions, popular language permits us to apply the term dogma only to philosophical knowledge, for we should hardly call a proposition in arithmetic or geometry a dogma. The ordinary use of words thus ^ confirms the distinction we have drawn between judg- ments that are derived from conceptions, and judgments that rest upon the construction of conceptions. Now, it is impossible to find in the whole domain of pure speculative reason a single synthetic judgment that is directly derived from conceptions. For, reason is 765 unable to obtain from its pure ideas any synthetic judg- ment which holds true objectively. It is true that, by means of the conceptions of understanding, reason is able 737 to show that there are certain principles which rest upon a solid foundation ; but these principles it does not directly derive from conceptions, but only indirectly, by showing the relation of the conceptions in question to something that is perfectly contingent — namely, possible experience. If something is presupposed as an object of possible experience, no doubt those principles are apodictically certain ; but, in themselves, or directly, they can never be known a priori. Thus, no one, simply from the conceptions contained in it, can see what is the foundation of the proposition, that whatever happens has its cause. Such a proposition can certainly be shown readily enough to be apodictic, if it is applied only within the field of experience ; but it cannot be a dogn)a. It must be called d. principle^ and not a theorem^ because it has the peculiar property, that it is the condition of that by which it is proved — namely, experience, and must always be presupposed as essential to experience I06 THE PHILOSOPHY OF KANT. Now, if in the speculative use of pure reason there are no dogmata, all dogmatic methods, whether they are borrowed from the mathematician or are peculiar to the individual thinker, are self-condemned. For tliey only serve to conceal defects and errors, and to give rise to philosophical illusion, instead of securing the true aim of philosophy, which is to exhibit every step of reason in the clearest possible light. Yet the method of philosophy, though it is not dogmatic, may always be systematic. For 766 our reason is itself subjectively a system, though, if we 738 regard it merely as a source of pure conceptions, it is not a system of knowledge, but only a system by which our investigations may be carried on : in other words, it supplies the principles of unity for knowledge, and must look to experie?ice to supply the materials to be determined in accordance with these principles. 224 -<4« First Analogy. 182 Principle of the Permanence of Substance. In all the changes of phenomena substance is perma- nent, and its quantum in nature neither increases nor diminishes. Proof. 225 Our apprehension of the various determinations of a phenomenon is always successive, and therefore is always changing. Hence there is nothing in apprehension, taken by itself, that enables us to say whether those determinations are, as an object of experience, co-existent or successive. An object of experience is possible only 226 if there is something that ahuays is, somtthmg per7?ia?i- ent and persistent, all change and co-existence being TRANSCENDENTAL ANALYTIC. I07 nothing but so many modes of time in which that permanent something exists. Only in the permanent can there possibly be the relations of simultaneity and succes- sion, which are the sole relations in time. The permanent 183 is therefore the sicbstratiim of the empirical consciousness of time itself, and only in it is any determination of time possible at all. Permanence is time considered quite generally, as the constant correlate of all change and all concomitance of actual objects of experience. For, change does not affect time itself but only phenomena in time; just as co-existence is plainly not a mode of time itself, the parts of time not being together, but following one another. If it is said, that time itself comes into being part by part, we must suppose that there is another time in which it successively comes to be. Only through the permanent does existence in a number of successive moments acquire a magnitude, which we call duration. In mere succession, taken by itself, existence is always vanishing and appearing, and never has even the smallest magnitude. Apart from the permanent, there is therefore no relation of time. Now, time cannot be perceived by itself; hence the permanent is the substratum of all the determinations of phenomena in time, and therefore the 227 condition without which there could be no synthetic unity in our perceptions, that is, in experience. Thus we learn that all existence and all change in time must be regarded as simply a modus of the existence of that which does not change but persists. In all phenomena the per- manent is therefore the object itself, that is, the substance (phaenofHc7ioH), while all that changes, or can change, per- 184 tains merely to the manner in which substance or substances exist, and therefore to the determinations of substance. Io8 . THE PHILOSOPHY OF KANT. 229 The determinations of a substance are called accidents. 186 They are always real, because they are just the manner in which the substance exists, whereas negations are merely determinations which affirm that a substance does 230 not exist in a certain manner. If we wish to say, that what is real in a substance has a special sort of existence, as, for instance, that motion is the manner in which matter exists, we are wont to speak of this mode of ex- istence as inherence^ to distinguish it from the existence of the substance, which is called subsistence. But this is apt to lead to much misapprehension, and it is more precise 187 and more correct to say, that an accident is simply the manner in which the existence of a substance is positively determined. At the same time, the conditions under which understanding in its logical use operates, gives a kind of independence to that in the existence of a sub- stance which can change while the substance remains unchanged, and this changing element we are led to view as standing in relation to the really permanent and radical element. It is for this reason that the category of substance is put among the categories of relation ; for, although strictly speaking it does not itself contain a relation, it yet is the condition of relations. The conception of change can be properly understood only by reference to the idea of permanence. Coming to be and ceasing to be are not changes of that which comes to be or ceases to be. Change is a mode of existence that follows upon another mode of existence of the very same object. All that changes is pernianejit^ and only its state alters. As this alteration affects only the determinations, which can cease to be or begin to be, 231 we may say, in words that sound somewhat paradoxical, TRANSCENDENTAL ANALYTIC. IO9 that only the permanent changes, while the changeable is subject to no change, but only to an alternation, in which certain determinations cease to be as others begin to be. Change, then, can be observed only in substances. i88 An absolute beginning or cessation can by no possibility be observed, but only a determination of that which is permanent j because only by reference to that which is permanent can there be any consciousness of the transi- tion from one state into another, and from not being to being. And these states can be known empirically only as alternating determinations of that which is permanent. If we suppose something absolutely to begin to be, we must also suppose that there was a point of time in which that something was not. But with what are we to con- nect this point of time, if not with something that already is ? For, an empty time, if we suppose such to precede the point of time in question, is not a possible object of perception ; and if we connect what is supposed absolutely to begin to be with things that existed before it, and continue to exist up to the moment of its origina- tion, that which is supposed absolutely to begin to be must be really a determination of the permanent that existed before it. So, also, that which absolutely ceases to be requires us to presuppose the empirical conscious- ness of a time in which there was nothing to observe. Substances, then, are the substrates of all determina- tions of phenomena in time. If some substances could come into being, and others cease to be, even the sole condition, under which the empirical unity of time is possible, would be taken away. We should in that case 232 be compelled to suppose, that phenomena were in two no THE PHILOSOPHY OF KANT. distinct times, and that existence flovved away in two parallel streams. But this is absurd, for there is only one time, and different times are not side by side, but follow 189 one another. Permanence is therefore a necessary condition, without which phenomena cannot be determined as things or 225 objects in a possible experience. The permanent is the substance, or the real, in a phenomenon, which, as the substratum of all change, always remains the same. And as substance can be subject to no change in existence, its quantum in nature can neither increase nor diminish. 232 B. — Second A nalogy. Principle of Causal Succession. All changes take place in conformity with the law of the connection of cause and effect. Proof. 234 The apprehension of the various determinations of a phenomenon is always successive. The ideas of the parts follow one another in consciousness. Whether the parts follow one another in the object also, is a different thing. Now, anything whatever of which we are con- scious, anything of which we have an idea, we may certainly call an object ; but it is not so easy to say what 235 is meant when the term object is applied to a phenome- 190 non. In this case by an object must be understood, not a mere idea, but only that in the idea which stands for an object. But in so far as by an object we mean merely our own ideas as objects of consciousness, there is no distinction between actual objects of sense and the TRANSCENDENTAL ANALYTIC. Ill apprehension or reception of them in the synthesis of imagination. So far we must therefore say that the various determinations of phenomena are always pro- duced in the mind successively. Were phenomena things in themselves, no man could tell how the various determinations, as they arise one after the other in con- sciousness, might be connected in the object. As we cannot go outside of our own consciousness, there is no possible way of knowing how things may be in them- selves, apart from the ideas through which we are affected by them. But, although phenomena are not things in themselves, and yet are the only things that can be presented to us as knowledge, it is necessary to explain what there is in phenomena themselves that can connect their various determinations in time, while yet the consciousness of those determinations is in apprehen- sion always successive. Thus, for instance, the appre- hension of the various determinations contained in the perception of a house is successive. But no one would think of saying that the determinations of the house itself 236 are successive. Now, when I ask how an object is to be conceived from the transcendental point of view, I find that the house is not a thing in itself, but only a phe- nomenon, that is, it is the consciousness of something, ^9^ the transcendental object of which is unknown. The question therefore is, what is meant by the connec- tion of various determinations in the phenomenon itself, that phenomenon being yet no thing in itself. Here that which Hes in the successive apprehension is considered as mere modes of my consciousness, while the phenomenon which is given to me, although it is nothing but a complex of these modes, is yet regarded as their object, and the con- 1 12 THE PHILOSOPHY OF KANT. ception which I derive from them is held to harmonize necessarily with that object. It soon becomes evident that, as truth consists in the agreement of knowledge with its object, the only question here must be in regard to the formal conditions of empirical truth. The phe- nomenon as an object can be opposed to apprehension as a series of states of consciousness, only on the ground that it is a unique mode of apprehension, which stands under a rule that necessitates the connection of its various determinations in a certain way. That in the phenome- non which contains the condition of this necessary rule of apprehension, is the object. Let us now go on to our special problem. There can be no empirical observation that something has occurred, that is, that something, or some state, has come to be 2 -> 7 which before was not, unless there has previously been observed something that does not contain this state in itself. For, an actual thing following upon an empty 192 time, an absolute beginning preceded by nothing, can no more be apprehended than empty time itself. Every apprehension of an event is therefore a perception that follows upon another perception. But, as this is true in all synthesis of apprehension, even in such a synthesis as that of the determinations of a house already instanced, there is nothing in the mere succession of perceptions to distinguish the apprehension of an event from any other apprehension. But I note further, that when I am con- scious of a phenomenon as containing an event, the perception of the antecedent state A cannot follow the perception of the consequent state B, but, on the con- trary, B, in my apprehension, always follows A, while A never follows B but can only precede it. I see, for TRANSCENDENTAL ANALYTIC. 1 13 instance, a ship moving down stream. I first observe it higher up the stream, and then lower down, and it is impossible that in the apprehension of the phenomenon I should first observe the ship lower down the stream and then higher up. The order in which the perceptions follow one another in my apprehension is here deter- mined, and to that order my apprehension is tied down. 238 In the former example of the house, my apprehension might begin with a perception of the roof and end with the basement, but it might just as well begin from below^ and end above, or again the units of my empirical observation might be apprehended from right to left or from left to right. In that series of observations there 193 was therefore no fixed order that made it necessary for my apprehension to begin at a certain moment in the empirical combination of the various elements of percep- tion. But, in the observation of any event, there always is a rule that makes the order in which the elements of perception follow one another in my apprehension a necessary order. In this case, therefore, the subjective succession of apprehension must be derived from the objective succes- sion of the phenomena. Were it not so, there would be nothing whatever to determine the order of succession in my apprehension, and to distinguish one sort of phe- nomenon from another. Viewed by itself a mere succession of apprehension is quite arbitrary, and tells us nothing about the connection of the elements of per- ception in the object. The objective connection must therefore consist in the order in which the elements of perception follow each other, the order being this, that the apprehension of one event follows the apprehension H 114 THE PHILOSOPHY OF KANT. of another event in conformity with a rule. Thus only am I justified in saying, that there is succession in the phe- nomenon, and not merely in my apprehension, or^ in other words, that I cannot possibly have the apprehension in any other order. In conformity with this rule, there must lie in that 239 which precedes any event, the condition for a rule by which the event always and necessarily follows ; but I cannot say, conversely, that I can go back from 194 the event and apprehend what precedes it. No pheno- menon goes back from a given point of time to an antecedent point of time, but it yet is related to so7ne antecedent poifit of tifne; on the other hand, the progression from a given time to the precise time that follows is necessary. Now something certainly follows, and this I must necessarily refer to something else, which precedes it and upon which it follows necessarily or in conformity with a rule. Accordingly, the event, as that which is conditioned, points back with certainty to some condition, and this condition is what determines the event. 240 When therefore we have experience of any event, we always presuppose that something has gone before, on which the event follows according to a rule. Other- wise I should not say that the object follows, for I am not justified in saying that there is succession in an object merely because there is a succession in my 195 apprehension, but only because there is a rule that determines the succession of my apprehension by relation to what precedes. It is therefore always by reference to such a rule that I make my subjective synthesis or synthesis of apprehension objective, and under this TRANSCENDENTAL ANALYTIC. II5 presupposition, and this presupposition only, is even the experience of an event possible at all. No doubt this seems to contradict the whole view of the course of thought that the facts have always been held to warrant. The accepted doctrine is, that, from the repeated observation and comparison of many cases in which certain events follow certain antecedents, we are 241 first led to the discovery of a rule according to which the events invariably follow those antecedents, and then by reflection on the rule, to the general conception of cause. But on that showing, the conception of cause would be merely empirical, and the rule based upon it, that every 196 event has a cause, would be just as contingent as the experience from which it was derived. Having no a priori foundation, but resting merely on induction, it would have no genuine universality, but only a purely suppositious universality and necessity. The truth is, that here the same principle applies as in the case of other pure a priori elements, for instance, space and time : the principle that we can derive a clear conception from experience, only because we have ourselves put it into experience, and, indeed, have thereby made ex- perience possible at all. No doubt we cannot have a logically clear idea of cause, as a rule that determines the series of events, until we have made use of it in experience, but it is none the less true, that a tacit reference to that rule, as a condition of the synthetic unity of phenomena in time, was the foundation of experience itself, and therefore preceded it a priori. 244 No experience whatever is even possible without 199 understanding, and the first thing that understanding does, is not to make the conception of special objects Il6 THE PHILOSOPHY OF KANT. clear, but to make the very consciousness of an object 245 possible. Now, this it effects by conferring upon phen- omena and their existence order in time, assigning a priori to each of them as consequent a determinate posi- tion in time relatively to what precedes. Were such 200 position in time not assigned to phenomena, they would not harmonize with time itself, all the parts of which have their position determined a priori. Now, the determinate position of phenomena cannot be learned from the relation of phenomena to absolute time, for absolute time cannot be observed ; on the contrary, it is the phenomena that must determine for one another their position in time, making the order in time in which each occurs necessary. That which follows or occurs, must follow in conformity with a universal rule, on that which was contained in a preceding state. Thus arises a series of phenomena, which, by the action of understanding, necessarily assumes in the series of possible perceptions the very same order and unbroken connection which are found a priori in time itself, as the form of inner perception in which all perceptions must have their position. The perception of an event is therefore a possible experience, which becomes an actual experience, when I regard a phenomenon as determined to its position in time, and therefore as an object that can always be found in the connection of perceptions in accordance with a rule. 246 This rule, by which a thing is determined conformably with the succession of time, is, that in what precedes is to be found the condition under which an event always or necessarily follows. The proof of this proposition rests entirely upon the 201 TRANSCENDENTAL ANALYTIC. 117 following grounds. All empirical knowledge implies the synthesis by imagination of various determinations. This synthesis is always successive, or, in other words, the various determinations always follow one another in consciousness. In this synthesis of imagination, how- ever, there is no fixed order of succession, for the series of ideas may be taken just as well backwards as forwards. But, if this synthesis is a synthesis of apprehension, in which there is a consciousness of the various deter- minations contained in a given phenomenon, the order is determined in the object, or, more exactly, there is in our apprehension an order of successive synthesis that determines an object, and in conformity with that order something must necessarily precede, and if it exists, something else must necessarily follow. If, therefore, in my observation I am to obtain the knowledge of an event, that is, of something that actually takes place, my observation must carry with it an empirical judgment, in which the succession is thought as so determined that the event in question is preceded by something else, which it 247 follows necessarily or according to a rule. Were this not so, were I to determine the antecedent as existing, with- out being forced to recognize the event as following, I should be compelled to regard the succession as a mere subjective play of my imagination, or, if I still supposed it to be objective, I must call it a mere dream. Hence that relation of phenomena, that is of possible perceptions, 202 in which the consequent is necessarily determined in its existence in time by some antecedent in accordance with a rule — the relation, in a word, of cause and effect — is the condition of the objective validity of our empirical judgments with regard to the series of percep- Il8 THE PHILOSOPHY OF KANI. tions, and therefore the condition of experience. The principle of causaHty thus appHes to all objects of experience that stand under the conditions of succession, just because it is itself the ground of the very possibility of such experience. 256 C. — Third Analogy. 211 Principle of Community, All substances, in so far as they can be observed to CO- exist in space, are in thoroughgoing reciprocity. Proof. 258 Things are co-existent which exist at one and the same time. But how do we know that they exist at one and the same time ? Only if in the synthesis of apprehension the order in which the various determinations arise in consciousness is indifferent, or can go either from A through B, C, D, to E, or conversely from E to A. Were the determinations actually to follow one another in time, that is, in an order that began with A and ended with E, it would be impossible for apprehension to start from E and go backwards to A ; for A would in that case belong to a time that was past, and therefore could no longer be an object of apprehension. 212 Now, suppose that a number of substances could be observed, each of which was so completely isolated from the rest that none acted upon any other or was 259 itself acted upon: then I say, that those objects could not possibly be observed to co-exist^ and that there is no way in which by empirical synthesis we could pass from the existence of one to the existence of another. If the objects are assumed to be separated by a space that TRANSCENDENTAL ANALYTIC. II9 is quite empty, no doubt the existence of each might be presented in turn in a series of observations; but this would not enable us to say, whether the different phenomena themselves followed one another or existed at the same time. If, therefore, our supposed substances are to be known as empirically co-existent, it must be by something more than its mere existence that A determines the position in time of B, and, conversely, B the position in time of A. Now, only that which is the cause of a thing or of its determinations, can determine the position of that thing in time. And, as a substance does not itself begin to be in time, but cily its determinations, every substance must contain in itself at once the causality of certain deter- minations in another substance, and the effects of the causality of that other substance. In other words, if substances are to to be known in experience as co-exist- ing, they must, directly or indirectly, stand with one 123 another in a relation of dynamical community. Now, we must regard as necessary to the objects of experience, 260 that without which the experience of these objects would itself be impossible. It is, therefore, necessary that all substances, in so far as they are co-existent phenomenal should stand with one another in thoroughgoing com- munity of reciprocity. The word community is here used in the sense of dynamical community (commercium), without which even local community {communio spaiii) could never be empiri- cally known. Any one may easily gather from his own experience, that only continuous influences in all points of space can lead our senses from one object to another. The light which plays between our eye and the heavenly I20 THE PHILOSOPHY OF KANT. bodies produces a mediate community between us and them, and shows us that they co-exist. Nor could we change our position empirically, that is, observe the change in our position, if matter were not everywhere, and if the parts of a material object did not manifest their simultaneous existence by means of their influence on one another. It is in this indirect way that we learn the co-existence of all material objects, even the most distant. Without community there could be only a 214 number of detached observations ; the chain of empirical 261 ideas constituting experience would be continually begin- ning with a new object, having absolutely no connection with that which preceded it, and standing with it in no relation of time. This does not prove that there is no empty space ; empty space there may perhaps be, to which perception cannot reach, and where there is, there- fore, no empirical knowledge of co-existent objects ; but such a space is certainly not a possible object of experience. A word by way of further explanation may be useful. All phenomena, of which we can possibly be conscious in experience, must in our mind stand in the community of apperception. And so far as we can be conscious of objects as co-existing, we must be conscious that, by reciprocally determining their position in time, they con- stitute a whole. If this subjective community is to rest upon an objective ground, or to hold of phenomena as substances, it must be because the observation of one object is the necessary condition of the observation of another, and vice versa. Otherwise we must say, that the succession which belongs to all observation viewed as apprehension holds also of objects, and that objects TRANSCENDENTAL ANALYTIC. 121 cannot be known as co- existing. But if objects can be known in experience as co-existing, there must be a reciprocal influence, or real community {commercium) of substances. Through this commercium phenomena, in so 215 262 far as they are external to one another and yet stand in connection, are members of a systematic whole {compositum reale) and are related in many ways within that whole. The three dynamical relations, from which all others flow, are therefore the relations of inherence^ consecution^ and composition. These are the three Analogies of Experience. They are simply the principles by which the existence of phenomena in tim.e is determined, in conformity with the three possible modes of time. There is, firstly, the relation to time itself as a magnitude, the magnitude of existence, that is, duration ; secondly, the relation in time as a series, the parts of which follow one another ; lastly, the relation likewise in time as a sum of all exis- tence, the members of which are co-existent. This unity of determination in time is dynamical through and through, that is, time is not regarded as that in which experience directly determines to each existence its own place ; this indeed is impossible, because it is not possi- ble to observe an absolute time, in which phenomena might be held together. The unity is due to a rule of understanding, through which only the existence of phenomena can obtain synthetic unity in conformity with relations of time, and which determines to each object its place in time, and that too a priori^ and as holding for all and every time. 263 Nature, in the empirical sense of the word, is the 216 122 THE PHILOSOPHY OF KANT connected system of phenomena as conforming in their existence to necessary rules or laws. There are therefore certain laws, and these a priori^ that make nature possible at all. Empirical laws can be found out and established only by means of experience, and even they are subject to those primary laws that make experience possible. Our analogies, therefore, properly exhibit the unity of nature in the connected system of phenomena under certain exponents, and these exponents express nothing but the relation of time, as embracing all existence within itself, to the unity of apperception, a unity that is possible only in the synthesis conformed to rules. Taken together they affirm, that all phenomena belong, and must belong, to one system of nature, inasmuch as, apart from this a priori \m\\.y ^ there could be no unity of experience, and therefore no determination of objects in experience. r 4. Postulates of all Empirical Thought. « I. That which agrees with the formal conditions of experience, or conforms to pure perception and pure conception, is possible. 266 2. That which is bound up with the material con- ditions of experience, or with sensation, is actual. 3. That which, in its connection with the actual, is determined in accordance with the universal conditions of experience, is necessary^ or necessarily exists. Explanation. 219 The categories of modality have this peculiarity, that they do not in the least enlarge the conception to which they are attached as predicates, but merely express its TRANSCENDENTAL ANALYTIC. 1 23 relation to the faculty of knowledge. Granting the con- ception of a thing to be quite complete, I may yet ask whether the object is possible or actual, and if actual, whether it is also necessary. Such determinations are not conceived to belong to the object itself; the only point is how the object, together with its determinations, is related to understanding in its empirical use, to empirical judgment and to reason as applied to experience. 267 (i) The first postulate demands that the conception of 220 things should agree with the formal conditions of any experience whatever. Now this objective form of experi- ence includes all synthesis that is essential to the know- ledge of objects. A conception may imply synthesis, but if the synthesis does not belong to experience, either as being derived from it, or as forming its a priori con- dition, the conception must be held as empty, and as 268 not related to any object. There is, for instance, no contradiction in the conception of a figure that is enclosed by two straight lines, for the conception of two straight lines, and the conception of two such lines meeting, do not involve the negation of a figure : the impossibility 221 arises, not from the conception in itself, but from the conditions of space and of the determination of space, which prevent the construction of such a figure. But these conditions have an objective reality of their own, or apply only to possible things, because they contain in themselves the a priori form of experience in general. 270 Setting aside everything the possibility of which can be 223 learned only from actual experience, let us limit ourselves to the question whether anything is possible through a 271 priori conceptions. Now, I maintain that nothing can be determined as possible through such conceptions alone, 124 THE PHILOSOPHY OF KANT. but only in so far as they are merely formal and objective conditions of experience in general. At first sight it no doubt seems as if the possibility of a triangle could be known from the mere conception of it ; the conception certainly is independent of experi- ence, and we can as a matter of fact give to it an object, that is, we can construct the triangle completely a priori. But as the triangle so constructed is merely the form of an object, it would remain a mere product of imagination, 224 and we could not tell whether any object corresponding to it was possible, if we could not show that such a figure is thought under no conditions but those on which all 272 objects of experience rest. It is true that we are able to know and to characterize the possibility of things even prior to experience ; but this we can do, only because we are able to determine completely a priori the formal relations under which any object whatever can be known ; and even then we can determine the possibility of things only relatively to experience and within the limits of experience. (2) The postulate which relates to the knowledge of 225 things as actual dQvcid,V).diS perceptio/is of sense, and therefore sensations of which we are conscious. True, it is not necessary that we should be directly conscious through sense of the object that is to be known, but we must be avvare of its connection with some actual perception, in accordance with those analogies of experience which exhibit the conditions of all real connection in experi- 273 ence. That which is characteristic of actuality is found solely in the perception of sense that gives to a concep- tion its matter. At the same time, we may know even before perception that a thing actually exists, and there- TRANSCENDENTAL ANALYTIC. I25 fore is in a sense a priori, if we can but show that it is inseparably related to certain perceptions, in accordance 226 with the principles or analogies that determine the empirical connection of all perceptions. Thus from observation of the attraction of iron filings, we know that a magnetic matter pervades all bodies, although our organs of sense are so constituted that we cannot directly perceive it. For, by the laws of sensibility and the con- text of our perceptions, we should have a direct percep- tion of that matter in experience were our senses only fine enough. Our knowledge of the existence of things, therefore, extends as far as perception, or valid inferences from perception, will carry us. But if we do not start 274 from experience, and proceed in accordance with the laws of the empirical connection of phenomena, we shall in vain try to guess or to discover the existence of any- thing whatever. 279 (3) The third postulate refers to material necessity or necessity in existence, not to merely formal and logical necessity in the connection of conceptions. Now, the existence of an object of sense cannot be known completely a priori, but only comparatively a priori, or relatively to something else the existence of which is 227 already known ; hence necessity of existence can never be derived from conceptions, but only from the connec- tion of an object through general laws of experience with what has been perceived. There is no existence, how- ever, that can be known to be necessary, on condition that other phenomena have been presented, except the existence of effects as following from given causes in conformity with laws of causality. It is, therefore, not the existence of things or substances that we can know to 126 THE PHILOSOPHY OF KANT. be necessary, but only the existence of their state ; and 280 the existence of their state we can know to be necessary only from its connection, in accordance with empirical laws of causality, with other states given in perception. From this it follows that the criterion of necessity lies entirely in the law of possible experience, the law that whatever happens is determined a priori in the object through its cause. We cannot know any effects in nature to be necessary except those effects the causes of which are given to us, and hence the criterion of necessity in existence does not apply beyond the field of possible experience. Nor does it apply even within experience to the existence of things as substances, because sub- stances can never be regarded as empirical effects, or something that happens and begins to be. Necessity 228 applies only to the relations of phenomena as standing under the dynamical law of causality, and to the possi- bility that is based upon it of concluding a prioj'i from a given mode of existence (the cause) to another mode of existence (the effect). General Remark ofi the Principles of Judgment. 288 It is very remarkable that there is nothing in a cate- gory, taken by itself, that enables us to say whether a real thing corresponding to it is possible, and that a pure conception of understanding can be shown to have objective reality only if a perception is brought forward to which it can apply. 291 But what is still more remarkable is that the categories cannot be shown to be conditions of the possibiHty of things, and therefore to have objective reality, without the TRANSCENDENTAL ANALYTIC. 1 27 aid not only of perceptions, but even of external percep- tions. Take, for instance, the pure conceptions of relation. Here we find (i) that, in order to show that there is something permanent, which corresponds to the conception of substance, and thus to prove the objective reality of the conception, we must have the perception of that which is in space, in other words, the perception of matter; for only space has in it anything permanent, whereas time, and therefore all that exists in the inner sense, is in perpetual flux. (2) The perception which corresponds to the conception of causality is change. Now, to have a real consciousness of change, we must have the perception of motion, or change of place, and indeed it is only by reference to motion that we can realize what change means. No pure understanding can comprehend how change is possible, for in itself change combines determinations that contradict one another 292 when they are predicated of the same thing. How, in the very same thing, there should follow from a given state another state that is its opposite, is not only beyond the power of reason to comprehend without a special instance, but without perception it cannot be made intelligible to it at all. The only perception which fulfils this requirement is that of the motion of a point in space, for, by its presence in different places, the point presents us with a series of reciprocally exclusive deter- minations, and thus enables us to realize the meaning of change. Even in the case of inner changes, we have to figure time, the form of inner sense, as a line, and the inner changes themselves as the generation of that line, that is, as motion. Thus it is by means of external per- ception that we make intelligible to ourselves the various 128 THE PHILOSOPHY OF KANT. successive states in which we ourselves exist. The true explanation of this is that no change can possibly be an object of experience apart from the consciousness of something that is permanent, and that in inner sense nothing that is permanent can be found. (3) Nor can the possibility of the category of conwiunity be conceived by reason alone, and hence its objective reality can be seen to be possible only by reference to perception, and indeed only by reference to external perception in space. How can we think it to be possible that there should be anything in the existence of one substance to affect reciprocally the existence of other substances, and that, 293 therefore, because there is something in the former, there must be something also in the latter which could not be understood from the existence of the latter when it is considered merely by itself? This is what community demands, and yet it is inconceivable, if things subsist by themselves, or are completely isolated from one another. The answer is that we can make the possibility of the community of substances, that is, of objects of experience, intelligible to ourselves only by representing them in space, and, therefore, in external perception. For space by its very nature contains in itself a priori formal external relations, and these are conditions of the possi- bility of the real relations of action and reaction, and therefore of community. Similarly it might readily be shown that the possibility of things as qtiania^ and there- fore the objective reality of the category of quantity, requires external perception, and that only by means of external perception can we have experience even of any- thing in inner sense as a quantum. 294 The net result of this whole section is this : — All TRANSCENDENTAL ANALYTIC. I 29 principles of pure understanding are nothing but a priori principles of the possibility of experience; and all a priori synthetic propositions relate only to experience, and indeed from that relation they derive their possibility. Chapter III. — Distinction of Phenomena 235 AND NOUMENA. 295 We have seen that, whatever understanding produces 236 from itself, it holds in trust solely in the interest of 296 experience. The principles of pure understanding, whether as mathematical they are a priori constitutive principles, or as dynamical merely regulative principles, contain nothing but what may be called the pure schema for a possible experience. For experience derives its 237 unity entirely from the synthetic unity which understanding imparts, originally and spontaneously, to the synthesis of imagination in relation to apperception ; and phenomena, as the data for a possible knowledge, must therefore stand a priori in relation to that synthetic unity and in harmony with it. 2Q7 Now the proposition that understanding can never 238 make a transcendental use, but only an empirical use, of any of its a p?'iori principles, is seen to have very 298 important consequences, so soon as it is thorougly under- stood. A conception is employed transcendentally when it occurs in a proposition regarding things as such or in the??iselves ; it is employed empirically when the proposition relates merely \.o phenoinena^ or objects of a possible experience. Only the empirical use is admis- 239 sible. Every conception requires, firstly, the logical form of conception or thought, and, secondly, the possi- I 130 THE PHILOSOPHY OF KANT. bility of an object being empirically given to which it may be applied. ^Vhere no such object can be given, the conception is empty and meaningless, containing nothing but the logical function which is necessary in order to form a conception out of any data that may be given. Now, the only way in which an object can be presented is in perception. And this perception must be empirical ; for, although pure perception is possible