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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.

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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.

 Thus, we have no right to assume the existence of new powers, not existing in nature--for example, an understanding with a non-sensuous intuition, a force of attraction without contact, or some new kind of substances occupying space, and yet without the property of impenetrability--and, consequently, we cannot assume that there is any other kind of community among substances than that observable in experience, any kind of presence than that in space, or any kind of duration than that in time. 
Thus much only can we say; "The image is a product of the empirical faculty of the productive imagination--the schema of sensuous conceptions (of figures in space, for example) is a product, and, as it were, a monogram of the pure imagination a priori, whereby and according to which images first become possible, which, however, can be connected with the conception only mediately by means of the schema which they indicate, and are in themselves never fully adequate to it." On the other hand, the schema of a pure conception of the understanding is something that cannot be reduced into any image--it is nothing else than the pure synthesis expressed by the category, conformably, to a rule of unity according to conceptions.
 Secondly, the real in space--that is, matter--is conditioned. But this very synthetical unity remains, even when I abstract the form of space, and has its seat in the understanding, and is in fact the category of the synthesis of the homogeneous in an intuition; that is to say, the category of quantity, to which the aforesaid synthesis of apprehension, that is, the perception, must be completely conformable.* The same is the case with the double answer to the question regarding the extent, in space, of the world. Therefore, every part of the composite must occupy a space. Besides the propensity to a gradual progression through the points of space and time, we have another peculiarity in our method of thinking, which concurs in producing this phaenomenon.