Kant's Inaugural Dissertation of 1770

SECTION I

ON THE IDEA OF A WORLD IN GENERAL

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As the analysis of a substantial composite terminates only in a part which is not a whole, that is, in a simple part, so synthesis terminates only in a whole which is not a part, that is, the world.

In this exposition of the underlying concept I have had regard not only to the marks pertaining to the distinct cognition of the object, but somewhat also to the two-fold genesis of the concept from the nature of the mind, which, being serviceable to a method of deeper metaphysical insight, by way of example appears to me not a little commendable. For it is one thing, the parts being given, to conceive the composition of the whole by an abstract notion of the intellect, and another thing to follow out this general notion considered as a problem of the reason by the cognitive sensuous faculty, that is, to represent it to one’s self in the concrete by a distinct intuition. The former is done through the class concept by composition, as several things are contained either under it or mutually, and hence by intellectual and universal ideas. The latter rests on the conditions of time, inasmuch as the concept of a composite is possible genetically, that is by synthesis, by the successive union of part to part, and falls under the laws of intuition. Similarly, a substantial composite being given, we easily attain to the idea of the simple parts by the general removal of the intellectual notion of composition; for what remains after the removal of conjunction are the simple parts. But according to the laws of intuitive cognition this is not done, that is, all composition is not removed, except by a regress from the given whole to any possible parts whatsoever—in other words, by an analysis again resting on the condition of time. But since in order to a composite a multiplicity, in order to a whole, the allness, of parts is required, neither the analysis nor the synthesis will be complete; hence neither by the former will the concept of the simple part emerge, nor by the latter the concept of the whole, unless either can be gone through within a time that is finite and assignable.

But since in a continuous quantity the regress from the whole to assignable parts, and in an infinite quantity the progress from the parts to the given whole are endless, complete analysis in the one and complete synthesis in the other direction are impossible; hence neither the whole in the first case as to composition, nor the composite in the latter case as to totality can be thought completely in accordance with the laws of intuition. Unthinkable and impossible being vulgarly deemed to have the same meaning, it is plain why the concepts of the continuous as well as that of the infinite are rejected by most men as concepts whose representation according to the laws of intuitive cognition is impossible. Although I do not here champion these notions, especially not the first, which are considered exploded by many schools, still the following reminder is of the greatest moment. Those who use so perverse an argumentation have fallen into a grave error. For whatever is repugnant to the laws of the intellect and reason is of course impossible, but that which being the object of pure reason does merely not fall under the laws of intuitive cognition is not so. For here the disagreement between the sensuous and the intellectual faculties, whose natures I shall presently explain, indicates nothing except that the abstract ideas which the mind has received from the intellect can often not be followed out in the concrete and converted into intuitions. This subjective difficulty generally feigns some objective repugnance and easily deceives the incautious, the limits by which the human mind is circumscribed being taken for those by which the essence of things themselves is contained.

Furthermore, as the argument from intellectual reasonings easily shows that substantial composites being given, whether by the testimony of the senses or otherwise, the simple parts and the world are also given, so does our definition point out causes contained in the nature of the subject why the notion of a world should not seem merely arbitrary and made up, as in mathematics, only for the sake of the deducible consequences. The mind intent upon resolving as well as compounding the concept of a composite demands and presumes boundaries in which it may acquiesce in the former as well as in the latter direction.

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In defining the World the following points require attention:

I. Matter (in the transcendental sense), that is, the parts which are here assumed to be substances. We might plainly be regardless of coincidence between our definition and the meaning of the common word, the question being, so to speak, of a problem arising in accordance with the laws of reasoning, namely, how several substances may coalesce into one, and on what condition rests this one’s being no part of another. But the force of the word World, as commonly used, of itself falls in with us. For no one will attribute accidents to the World as parts, but as determinations, states; hence the so-called world of the ego, unrestrained by the single substance and its accidents, is not very appositely called a World, unless, perhaps, an imaginary one. For the same reason it is not permissible to refer the successive series—namely, of states—as a part to the mundane whole; for modifications are not parts, but consequences of the subject. Finally, as to the nature of the substances constituting the world, I have not here called into debate whether they be contingent or necessary, nor do I hide such a determination unproved in the definition in order subsequently, as is sometimes done, to draw it thence by some specious argumentation. But I shall show further on that their contingency can be amply concluded from the conditions here posited.

II. Form, which consists in the co-ordination of the substances, not in their subordination. For co-ordinates are to be regarded as mutual complements to a whole, subordinates as effect and cause, or generally, as principle and consequence. The former relation is reciprocal and homonymous, any correlate in respect to any other being considered as at once determining and determined. The latter is heteronymous; on the one hand dependence only, causality on the other. This co-ordination is conceived as real and objective, not as ideal, and resting in the mere pleasure of a subject making up a whole by the summation of any multiplicity whatever. For the grasping of several things can by no contrivance be made a whole of representation, nor, for that reason, a representation of the whole. Therefore, if there be any totals of substances connected by no bond, a grasping of them together, the mind forcing the multiplicity into ideal oneness, will be called nothing more than a plurality of worlds comprehended in a single thought. But the connection constituting the essential form of a world is looked upon as the principle of the possible influences of the substances composing that world. For an actual influence pertains not to essence but to state, and the transitive forces, the causes of the influences, suppose some principle by which it is possible that the states of several things in other respects existing independently of each other are mutually related as consequences, which principle being abandoned, the possibility of transitive force in a world is an illicit assumption. And, furthermore, this form essential to the world is on that account immutable, and exposed to no vicissitude whatever. It is so in the first place for a logical reason, since any change supposes the identity of the subject with determinations succeeding one another in turn. Hence the world, remaining the same world through all the states succeeding one another, preserves the same fundamental form. For it does not suffice to the identity of the whole that all the parts be identical, the identity of characteristic composition is required also. But it follows especially from a real cause. For the nature of the world, which is the primary inner principle of whatever variable determinations may pertain to its state, never by any possibility being opposite to itself, is naturally, that is, by itself, immutable; hence there is given in any world whatever some form ascribable to its nature, constant and invariable, as the perennial principle of any contingent and transitory form pertaining to the state of the world. They who hold this disquisition superfluous are confuted by the concepts of space and time, conditions, as it were, given by their very own selves and primitive, by whose aid, that is to say, without any other principle, it is not only possible but necessary for several actual things to be regarded as reciprocally parts constituting a whole. But I shall show presently that these are plainly not rational notions, nor the bonds which they form objective ideas, but phenomena; and that though they witness, to be sure, some principle which is the common universal bond, it is not set forth by them.

III. Universality, which is the absolute allness of the appertaining parts. For, regard being had to any given composite, though it may be besides a part of another, still there always obtains a certain comparative allness, namely, that of the parts belonging to it as a particular quantity. But in this case whatsoever things are regarded as mutually parts of whatsoever whole, are understood to be conjointly posited. This absolute totality, apparently an everyday and perfectly obvious concept, especially when, as happens in the definition, it is enunciated negatively, when canvassed thoroughly becomes the crucial test of the philosopher. For it is scarce conceivable how the inexhaustible series of the states of the universe succeeding one another eternally be reducible to a whole comprehending all changes whatsoever. Since it is necessary to very infinitude to be without end, and hence no successive series is given but what is the part of another, completeness or absolute totality is by parity of reasoning plainly excluded. For although the notion of a part can be taken in a universal sense, and although everything contained under this notion, if regarded as posited in the same series, constitutes unity, yet the concept of the whole appears to exact their all being taken simultaneously, which in the case given is impossible. For, although to the whole series nothing succeeds, there is given in the succession no posited series to which nothing succeeds, unless it be the last. There will, then, in eternity be something which is last, which is absurd. Perhaps some may think that the difficulty which besets a successive infinite is absent from a simultaneous infinite, for the reason that apparently simultaneity plainly professes to embrace all at the same time. But, if the simultaneous infinite be admitted, the successive infinite also will have to be conceded, and the negation of the latter cancels the former. For the simultaneous infinite offers matters everlastingly inexhaustible to a successive progress in infinitum through its innumerable parts, which numberless series actually being given in the simultaneous infinite, a series though inexhaustible by successive addition could be given as a whole. In solution of the perplexing problem note; that both the successive and the simultaneous co-ordination of several things, since they rest upon the concept of time, do not pertain to the intellectual concept of a whole, but only to the conditions of sensuous intuition; hence though not sensuously conceivable, they do not on that score cease being intellectual concepts. For in order to the latter it suffices that co-ordinates be given, no matter how, and that they be thought of as all pertaining to a unit.

SECTION II

ON THE DISTINCTION BETWEEN THE SENSIBLE AND THE INTELLIGIBLE GENERALLY

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Sensibility is the receptivity of a subject by which it is possible for its representative state to be affected in a certain way by the presence of some object. Intelligence, rationality, is the faculty of a subject by which it is able to represent to itself what by its quality cannot enter the senses. The object of sensibility is sensuous; what contains nothing but what is knowable by the intellect is intelligible. In the older schools the former was called phenomenon, the latter noumenon. To the extent to which knowledge is subject to the laws of sensuousness it is sensuous; to the extent to which it is subject to the laws of intelligence it is intellectual or rational.

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Since whatever is in sensuous knowledge depends upon the subject’s peculiar nature, as the latter is capable of receiving some modification or other from the presence of objects which on account of subjective variety may be different in different subjects, whilst whatever knowledge is exempt from such subjective condition regards the object only, it is plain that what is sensuously thought is the representation of things as they appear, while the intellectual presentations are the representations of things as they are. Now there is in sense representation something which may be called the matter, namely, the sensation, and in addition to this something which may be called the form, namely, the appearance of the sensible things, showing forth to what extent a natural law of the mind co-ordinates the variety of sensuous affections. Furthermore, as the sensation constituting the matter of sensuous representations argues, to be sure, the presence of something sensible, but depends as to quality on the nature of the subject, as the latter is modifiable by the object; exactly so does the form of that representation witness certainly some reference or relation among the sensuous percepts, but itself is not, as it were, the shadowing forth or outlining of the object, but only a certain law inherent in the mind for co-ordinating among themselves sensuous percepts arising from the presence of the object. For by form or appearance the objects do not strike the sense, hence in order that various sense-affecting objects may coalesce into some whole of representation, there is need of an inner principle of the mind by which, in accordance with stable and innate laws, that variety shall take on some appearance.

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To sensual cognition then pertains both the matter which is sensation and by which the knowledge is said to be sensual, and the form by which, even though we find it without any sensation, the representations are called sensuous. On the other hand, as to intellectual concepts, it is above all to be well noted that the use of the intellect, or of the superior faculty of the soul, is two-fold. By the first use are given the very concepts both of things and relations. This is the real use. By the second use they, whencesoever given, are merely by common marks subordinated to one another, the lower to the higher, and compared among themselves according to the principle of contradiction. This is called the logical use. The logical use of the intellect is common to all the sciences; the real use is not. For a cognition given in any wise is regarded either as contained under or as opposed to a mark common to several cognitions, and this either by immediate apposition, as in judgments in order to distinct cognition, or mediately, as in reasoning, in order to adequate cognition. Thus sensuous knowledge being given, sensuous percepts are by the logical use of the intellect subordinated to other sensuous percepts, as to common concepts, and phenomena to the more general laws of phenomena. In this connection it is of the greatest moment to note that cognitions must continue to be regarded as sensuous, no matter how great may have been the logical use of the intellect upon them. For they are called sensuous on account of their origin, not of their collation by identity and opposition. Hence, empirical laws, though of the greatest generality, are, nevertheless, sensual, and the principles of sensuous form in geometry, the relations in determinate space, however much the intellect arguing according to logical rules from what is sensuously given, by pure intuition, be employed upon them, do not for that matter pass beyond the class of sense-percepts. That in sense-percepts and phenomena which precedes the logical use of the intellect is called appearance, while the reflex knowledge originating from several appearances compared by the intellect is called experience. Thus there is no way from appearance to experience except by reflection according to the logical use of the intellect. The common concepts of experience are termed empirical, its objects phenomena, and the laws as well of experience as of all sensuous cognition generally are called the laws of phenomena. Empirical concepts, then, are not by a reduction to greater universality rendered intellectual in the real sense and do not transcend the species of sensuous cognition, but, however high abstraction may carry them, remain indefinitely sensuous.

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Now as to strictly intellectual concepts in which the use of the intellect is real. Such concepts both of objects and relations are given by the very nature of the intellect, are not abstracted from any use of the senses, and do not contain any form of sensuous knowledge as such. It is needful here to take note of the extreme ambiguity of the word abstract, which, in order not to confuse our disquisition on intellectual concepts, must be removed to begin with, for properly we should say abstract from some things, not abstract something. The former denotes that in a concept we give no attention to other matters in whatsoever way they may be connected with it; but the latter, that it is not given but in the concrete and so as to be separated from what it is conjoined with. Hence an intellectual concept abstracts from everything sensuous, it is not abstracted from sensuous things, and perhaps would be more correctly called abstracting than abstract. Intellectual concepts it is more cautious, therefore, to call pure ideas, and concepts given only empirically, abstract ideas.

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From the foregoing it will be seen that it is badly to expound the sensuous to call it the more confusedly known, and the intellectual the distinctly known. For these are only logical distinctions and plainly do not touch the data underlying all logical comparison. The sensuous may be exceedingly distinct, while intellectual concepts are extremely confused. The former we observe in the prototype of sensuous knowledge, geometry; the latter, in the organon of all intellectual concepts, metaphysics. It is evident how much toil the latter is expending to dispel the fogs of confusion darkening the common intellect, though not always with the happy success of the former science. Nevertheless, any cognition retains the marks of its origin, the former, however distinct, being called by genesis sensuous; the latter, no matter how confused, remaining intellectual, as for instance, the moral concepts, which are known not experientially but by the pure intellect itself. The writer fears that Wolf by the distinction between the sensuous and the intellectual, which to him is only logical, checked, perhaps wholly, and to the great detriment of philosophy, that noble enterprise of antiquity of discussing the nature of phenomena and noumena, turning us from the investigation of these to what are frequently but logical trifles.

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The primary philosophy containing the principles of the use of pure intellect is metaphysics. But there is a science propaedeutical to it, showing the distinction of sensuous cognition from intellectual, a specimen of which we present in this dissertation. Empirical principles not being found in metaphysics, the concepts to be met with in it are not then to be sought for in the senses, but in the very nature of pure intellect; not as connate notions, but as abstracted from laws whose seat is in the mind, by attending to the actions of the mind on the occasion of experience, and hence as acquired. Of this species are possibility, existence, necessity, substance, cause, etc., with their opposites and correlates, which, never entering as parts into any sensual representation, can by no means have been abstracted thence.

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The purpose of intellectual concepts is mainly twofold; in the first place refutative, by which they are of negative use, when, shutting off sensuous concepts from noumena, though not advancing science a hair’s breadth, they maintain however its immunity from the contagion of error. In the second place dogmatic, following which the general principles of pure intellect, such as are set forth in ontology or rational psychology, go forth into an exemplar inconceivable except by pure intellect, and the common measure of all other things considered as realities, namely, noumenal perfection. The latter is such either in the theoretical or in the practical sense. In the former it is the highest being, God. In the latter sense, it is moral perfection. Moral philosophy, then, inasmuch as supplying the first principles of judgment, is not cognized except by pure intellect, and itself belongs to pure philosophy, and Epicurus reducing its criteria to deduction from the sense of pleasure or pain is rightly reprehended, together with some moderns following him a certain distance from afar, as Shaftesbury and his adherents. In any class of things having variable quantity the maximum is the common measure and the principle of cognition. Now the maximum of perfection is called ideal, by Plato, Idea—for instance, his Idea of a Republic—and is the principle of all that is contained under the general notion of any perfection, inasmuch as the lesser grades are not thought determinable but by limiting the maximum. But God, the Ideal of perfection, and hence the principle of cognition, is also, as existing really, the principle of the creation of all perfection.

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To man, no intuition of intellectual concepts is given, only symbolical cognition, and intellection is granted us only by universal concepts in the abstract, not by the concrete singular. For all intuition is restricted by some principle of form under which alone anything can be discerned by the mind immediately or as singular, and not merely conceived discursively by general concepts. This formal principle of our intuition—space and time—is the condition under which something can be an object of our senses, and hence as a condition of sensuous knowledge is not a medium for intellectual intuition. Besides, all the material of our cognition is given only by the senses, but the noumenon, as such, is not conceivable by representations drawn from sensations; hence the intellectual concept, as such, is destitute of all data of human intuition. For the intuition of our mind is always passive, and therefore possible only to the extent to which something can affect our senses. But the divine intuition, the cause—not the consequence, of objects, being independent, is the archetype, and hence perfectly intellectual.

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But although phenomena are properly the appearances of things, but not ideas, or express the inner and absolute quality of objects, their cognition is nevertheless of the truest. For in the first place, being apprehended sensual concepts, they, being consequences, witness the presence of the object, contrary to Idealism; and as regards judgments concerning that which is sensuously known, since truth in judging consists in the agreement of the predicate with the given subject, and since the concept of the subject as a phenomenon is given only by relation to the sensuous cognitive faculty, the sensuously observable predicates being given according to the same, it is plain that the representations of subject and predicate are made according to common laws, and hence give occasion for perfectly true cognition.

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All sense-objects are phenomena, but that which, not touching our senses, contains the form only of sensuality, belongs to pure intuition, that is, an intuition devoid of sensations, but not on that account, intellectual. Phenomena of the external sense are examined and set forth in physics; those of the internal sense in empirical psychology. But pure human intuition is not a universal or logical concept under which, but a singular in which all sensible objects are thought, and hence contains concepts of space and time, which, since they determine nothing concerning sensible objects as to quality, are not the objects of science except as to quantity. Hence pure mathematics considers space in geometry and time in pure mechanics. To these is to be added a certain concept, intellectual to be sure in itself, but whose becoming actual in the concrete requires the auxiliary notions of time and space in the successive addition and simultaneous juxtaposition of separate units, which is the concept of number treated in arithmetic. Pure mathematics, then, expounding the form of our entire sensuous cognition, is the organon of all intuitive and distinct knowledge, and since its objects are not only the formal principles of all intuition, but themselves original intuitions, it confers cognition both perfectly true, and the model of the highest degree of clearness to others. There is given, therefore, a science of sensual things, though being phenomena there is not given a real intellection, but a logical one only; hence it is plain in what sense those borrowing from the Eleatic school are to be thought to have denied a science of phenomena.

SECTION III

ON THE PRINCIPLES OF THE FORM OF THE SENSIBLE WORLD

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The principle of the form of a universe is that which contains the cause of the universal tie by means of which all substances and their states pertain to one which is called a world. The principle of the form of the sensible world is that which contains the cause of the universal tie of all things regarded as phenomena. The form of the intelligible world acknowledges an objective principle, that is, some cause by which it is the colligation of what exists in it. But the world regarded as phenomenon, that is, in respect to the sensibility of the human mind, acknowledges no principle of form but a subjective one, that is, a certain mental law by which it is necessary that all things qualified for being objects of the senses would seem to pertain necessarily to the same whole. Whatever be, therefore, the principle of the form of the sensible world, it will comprise only actual things in as far as thought of as possibly falling under sense-perception; hence neither immaterial substances, which as such are excluded by definition from the external senses altogether, nor the cause of the world, which, since by it the mind exists and has the power of sense-perception, cannot be the object of the senses. These formal principles of the phenomenal universe which are absolutely primary, universal, and, so to speak, the outlines and conditions of anything else whatsoever in human sensuous cognition, I shall now show to be two: time and space.

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1. The idea of time does not originate in, but is presupposed by the senses. Whether things falling under sense-perception be simultaneous or in line of succession cannot be represented but by the idea of time; nor does succession beget the concept of time; it appeals to it. Hence the notion of time, though acquired by experience, is badly defined by a series of actual things existing one after another, for what the word after means I understand only by the previous concept of time. For those things are after one another which exist at different times, as those are simultaneous which exist at the same time.

2. The idea of time is singular, not general. For any time whatever is thought only as a part of one and the same unmeasured time. If you think two years you cannot represent them to yourself but in a mutually determinate position, and if they do not immediately follow one the other, you cannot think of them except as connected by some intermediate time. Which of different times is first and which later can be defined in no way by any marks conceivable by the intellect, unless you are willing to run into a circle, and the mind discerns it by no more than one intuition. Besides, we conceive of all actual things as posited in time, not as contained as common marks under a general notion of time.

3. The idea of time, therefore, is an intuition, and being conceived before all sensation as the condition of the relations occurring in sensible things, it is not a sensual but pure intuition.

4. Time is a continuous quantity and the principle of the laws of continuity in the changes of the universe. For a continuous quantity is one which does not consist of simple parts. But since by time are only thought relations without any mutually related data, there is in time—as a quantity—composition, which being conceived wholly removed leaves nothing over. But a composite of which, composition being removed, nothing is left, does not consist of simple parts. Therefore, etc. Any part of time, then, is time; and the simple things in time, namely, the moments, are not parts of it, but termini between which time intervenes. For two moments being given, time is not given, except as in them actualities succeed each other; hence, beside the given moment it is necessary that time be given in the latter part of which there is another moment.

The metaphysical law of continuity is this: All changes are continuous or flowing, that is, opposite states succeed each other only by an intermediate series of different states. For since two opposite states are in different moments of time, and some time is always intercepted between two moments, in which infinite series of moments the substance is neither in one assignable state nor the other, nor yet in none, it will be in different states, and so on infinitely.

The celebrated Kästner, calling in question this Leibnitzian law, calls on its defenders to demonstrate that the continuous motion of a point around the sides of a triangle is impossible, it being necessary to prove this if the law of continuity be granted. Here is the demonstration required. Let the letters a b c denote the three angular points of a rectilineal triangle. If the point did move continuously over the lines ab, bc, ca, that is, over the perimeter of the figure, it would be necessary for it to move at the point b in the direction ab, and also at the same point b in the direction bc. These motions being diverse, they cannot be simultaneous. Therefore, the moment of presence of the movable point at vertex b, considered as moving in the direction ab, is different from the moment of presence of the movable point at the same vertex b, considered as moving in the same direction bc. But between two moments there is time; therefore, the movable point is present at point b for some time, that is, it rests. Therefore it does not move continuously, which is contrary to the assumption. The same demonstration is valid for motion over any right lines including an assignable angle. Hence a body does not change its direction in continuous motion except by following a line no part of which is straight, that is, a curve, as Leibnitz maintained.