Oyonale - 3D art and graphic experiments
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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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The schema of the triangle can exist nowhere else than in thought, and it indicates a rule of the synthesis of the imagination in regard to pure figures in space. For, in the contrary case, it would be limited by a void time on the one hand, and by a void space on the other. For if we merely examine the sphere of the conception which indicates a genus, we cannot discover how far it is possible to proceed in the division of that sphere; just as it is impossible, from the consideration of the space occupied by matter, to determine how far we can proceed in the division of it. We represented in these antinomies the conditions of phenomena as belonging to the conditioned according to relations of space and time- which is the usual supposition of the common understanding. If phenomena were things in themselves, and time and space forms of the existence of things, condition and conditioned would always be members of the same series; and thus would arise in the present case the antinomy common to all transcendental ideas--that their series is either too great or too small for the understanding. If I can say a priori, "All outward phenomena are in space, and determined a priori according to the relations of space," I can also, from the principle of the internal sense, affirm universally, "All phenomena in general, that is, all objects of the senses, are in time and stand necessarily in relations of time." The imagination moves with more difficulty in passing from one portion of time to another, than in a transition through the parts of space; and that because space or extension appears united to our senses, while time or succession is always broken and divided. Its relation to objects in space gives us the conception of connection (commercium) with bodies. Thus the conception of pure and merely intelligible objects is completely void of all principles of its application, because we cannot imagine any mode in which they might be given, and the problematical thought which leaves a place open for them serves only, like a void space, to limit the use of empirical principles, without containing at the same time any other object of cognition beyond their sphere.