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Click on the phrases to see them in context. The original texts by Immanuel Kant and David Hume are available from the Gutenberg Projet.


Now, as everything real that occupies a space, contains a manifold the parts of which are external to each other, and is consequently composite--and a real composite, not of accidents (for these cannot exist external to each other apart from substance), but of substances--it follows that the simple must be a substantial composite, which is self-contradictory.

 The proof in favour of the infinity of the cosmical succession and the cosmical content is based upon the consideration that, in the opposite case, a void time and a void space must constitute the limits of the world. In such a case I should be obliged in transcendental reflection to compare my conceptions only under the conditions of sensibility, and so space and time would not be determinations of things in themselves, but of phenomena. None of the content on this site should be taken as a personal recommendation or substitute for your own judgement Nevertheless, space is so conceived of, for all parts of space are equally capable of being produced to infinity. Inasmuch as all external relation, consequently all composition of substances, is possible only in space; the space, occupied by that which is composite, must consist of the same number of parts as is contained in the composite. Therefore neither is space, nor any a priori geometrical determination of space, a transcendental Representation, but only the knowledge that such a representation is not of empirical origin, and the possibility of its relating to objects of experience, although itself a priori, can be called transcendental. The categories are not based, as regards their origin, upon sensibility, like the forms of intuition, space, and time; they seem, therefore, to be capable of an application beyond the sphere of sensuous objects.