TRANSCENDENTAL DOCTRINE OF ELEMENTS.

PART FIRST.

TRANSCENDENTAL ESTHETIC.

§ 1. Introductory.

In whatsoever mode, or by whatsoever means, our knowledge may relate to objects, it is at least quite clear, that the only manner in which it immediately relates to them, is by means of an intuition. To this as the indispensable groundwork, all thought points. But an intuition can take place only in so far as the object is given to us. This, again, is only possible, to man at least, on condition that the object affect the mind in a certain manner. The capacity for receiving representations (receptivity) through the mode in which we are affected by objects, is called sensibility. By means of sensibility, therefore, objects are given to us, and it alone furnishes us with intuitions; by the understanding they are thought, and from it arise conceptions. But all thought must directly, <r indirectly, by means of certain signs, relate ultimately to intuitions; consequently, with us, to sensibility, because in no other way can an object be given to us.

The effect of an object upon the faculty of representation, so far as we are affected by the said object, is sensation. That sort of intuition which relates to an object by means of sensation, is called an empirical intuition. The undetermined object of an empirical intuition, is called phænomenon. That which in the phænomenon corresponds to the sensation, I term its matter; but that which effects that the content of the phæno menon can be arranged under certain relations, I call its form. But that in which our sensations are merely arranged, and by which they are susceptible of assuming a certain form, cannot be itself sensation. It is then, the matter of all phænomena that is given to us à posteriori; the form must lie ready à priori for them in the mind and consequently can be regarded separately from all se sation.

I call all representations pure, in the transcendental meaning of the word, wherein nothing is met with that belongs to sensation. And accordingly we find existing in the mind à priori, the pure form of sensuous intuitions in general, in which all the manifold content of the phænomenal world is arranged and viewed under certain relations. This pure form of sensibility I shall call pure intuition. Thus, if I take away from our representation of a body, all that the understanding thinks as belonging to it, as substance, force, d'visibility, &c., and also whatever belongs to sensation, as impenetrability, hardness, colour, &c. ; yet there is still something left us from this empirical intuition, namely, extension and shape. These belong to pure intuition, which exists à priori in the mind, as a mere form of sensibility, and without any real object of the senses or any sensation.

The science of all the principles of sensibility à priori, I call Transcendental Esthetic.* There must, then, be such a science, forming the first part of the transcendental doctrine of elements, in contradistinction to that part which contains the principles of pure thought, and which is called transcendental logic.

In the science of transcendental aesthetic accordingly, we shall first isolate sensibility or the sensuous faculty, by separating from it all that is annexed to its perceptions by the conceptions of understanding, so that nothing be left but empirical intuition. In the next place we shall take away from this intuition all that belongs to sensation, so that nothing may remain but pure intuition, and the mere form of pha

*The Germans are the only people who at present use this word to indicate what others call the critique of taste. At the foundation of this term lies the disappointed hope, which the eminent analyst, Baumgarten, conceived, of subjecting the criticism of the beautiful to principles of reason, and so of elevating its rules into a science. But his endeavours were vain. For the said rules or criteria are, in respect to their chief sources, merely empirical, consequently never can serve as determinate laws à priori, by which our judgment in matters of taste is to be directed. It is rather our judgment which forms the proper test as to the correctness of the principles. On this account it is advisable to give up the use of the term as designating the critique of taste, and to apply it solely to that doctrine, which is true scier.ce,-the science of the laws of sensibilityand thus come nearer to the language and the sense of the ancients in their well-known division of the objects of cognition into αἰσθητα και νοητα, or to share it with speculative philosophy, and employ it partly in a transcendental, partly in a psychological signification.

nomena, which is all that the sensibility can afford à priori. From this investigation it will be found that there are two pure forms of sensuous intuition, as principles of knowledge à priori, namely, space and time. To the consideration of these we shall now proceed.

SECTION I.

OF SPACE.

§ 2. Metaphysicai Exposition of this Conception.

By means of the external sense (a property of the mind), we represent to ourselves objects as without us, and these all in space. Therein alone are their shape, dimensions, and relations to each other determined or determinable. The internal sense, by means of which the mind contemplates itself or its internal state, gives, indeed, no intuition of the soul as an object; yet there is nevertheless a determinate form, under which alone the contemplation of our internal state is possible, so that all which relates to the inward determinations of the mind is represented in relations of time. Of time we cannot have any external intuition, any more than we can have an internal intuition of space. What then are time and space? Are they real existences? Or, are they merely relations or determinations of things, such however, as would equally belong to these things in themselves, though they should never become objects of intuition; or, are they such as belong only to the form of intuition, and consequently to the subjective constitution of the mind, without which these predicates of time and space could not be attached to any object? In order to become informed on these points, we shall first give an exposition of the conception of space. By exposition, I mean the clear, though not detailed, representation of that which belongs to a conception; and an exposition is metaphysical, when it contains that which represents the conception as given à priori.

1. Space is not a conception which has been derived from outward experiences. For, in order that certain sensations may relate to something without me, (that is, to something which occupies a different part of space from that in which I am); in like manner, in order that I may represent them not merely as without of and near to each other, but also in separate places, the representation of space must already

exist as a foundation. Consequently, the representation of space cannot be borrowed from the relations of external phænomena through experience; but, on the contrary, this external experience is itself only possible through the said ante cedent representation.

2. Space then is a necessary representation à prior, which serves for the foundation of all external intuitions. We never can imagine or make a representation to ourselves of the nonexistence of space, though we may easily enough think that no objects are found in it. It must, therefore, be considered as the condition of the possibility of phænomena, and by no means as a determination dependent on them, and is a representation à priori, which necessarily supplies the basis for external phænomena.

3. Space is no discursive, or as we say, general conception of the relations of things, but a pure intuition. For in the first place, we can only represent to ourselves one space, and when we talk of divers spaces, we mean only parts of one and the same space. Moreover these parts cannot antecede this one all-embracing space, as the component parts from which the aggregate can be made up, but can be cogitated only as existing in it. Space is essentially one, and multiplicity in it, consequently the general notion of spaces, of this or that space, depends solely upon limitations. Hence it follows that an à priori intuition (which is not empirical), lies at the root of all our conceptions of space. Thus, moreover, the principles of geometry,-for example, that "in a triangle, two sides together are greater than the third," are never deduced from general conceptions of line and triangle, but from intuition, and this à priori, with apodeictic certainty.

4. Space is represented as an infinite given quantity. Now every conception must indeed be considered as a representation which is contained in an infinite multitude of different possible representations, which, therefore, comprises these under itself; but no conception, as such, can be so conceived, as if it contained within itself an infinite multitude of representations. Nevertheless, space is so conceived of, for all parts of space are equally capable of being produced to infinity. Consequently, the original representation of space is an intuition priori, and not a conception.

3. Transcendental exposition of the conception of Space.

By a transcendental exposition, I mean the explanation of a conception, as a principle, whence can be discerned the possibility of other synthetical à priori cognitions. For this purpose, it is requisite, firstly, that such cognitions do really flow from the given conception; and, secondly, that the said cognitions are only possible under the presupposition of a given mode of explaining this conception.

Geometry is a science which determines the properties of space synthetically, and yet à priori. What, then, must be our representation of space, in order that such a cognition of it may be possible? It must be originally intuition, for from a mere conception, no propositions can be deduced which go out beyond the conception,* and yet this happens in geometry. (Introd. V.) But this intuition must be found in the mind à priori, that is, before any perception of objects, consequently must be pure, not empirical, intuition. For geometrical principles are always apodeictic, that is, united with the consciousness of their necessity, as, "Space has only three dimensions." But propositions of this kind cannot be empirical judgments, nor conclusions from them. (Introd. II.) Now, how can an external intuition anterior to objects themselves, and in which our conception of objects can be determined à priori, exist in the human mind? Obviously not otherwise than in so far as it has its seat in the subject only, as the formal capacity of the subject's being affected by objects, and thereby of obtaining immediate representation, that is, intuition; consequently, only as the form of the external sense in general.

Thus it is only by means of our explanation that the possibility of geometry, as a synthetical science à priori, becomes comprehensible. Every mode of explanation which does not shew us this possibility, although in appearance it may be similar to ours, can with the utmost certainty be distinguished from it by these marks.

§ 4. Conclusions from the foregoing conceptions.

(a) Space does not represent any property of objects as

* That is, the analysis of a conception only gives you what is contained in it, and does not add to your knowledge of the object of which you have a conception, but merely evolves it.-Tr.