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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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But time and space, with all phenomena therein, are not in themselves things. 3. On this necessity a priori is also founded the possibility of apodeictic principles of the relations of time, or axioms of time in general, such as; "Time has only one dimension," "Different times are not coexistent but successive" (as different spaces are not successive but coexistent). We have now completely before us one part of the solution of the grand general problem of transcendental philosophy, namely, the question; "How are synthetical propositions a priori possible?" That is to say, we have shown that we are in possession of pure a priori intuitions, namely, space and time, in which we find, when in a judgement a priori we pass out beyond the given conception, something which is not discoverable in that conception, but is certainly found a priori in the intuition which corresponds to the conception, and can be united synthetically with it. My intention here is by no means to combat the notion of empty space; for it may exist where our perceptions cannot exist, inasmuch as they cannot reach thereto, and where, therefore, no empirical perception of coexistence takes place. Whatever perceptions you may attain to, you are still surrounded by conditions--in space, or in time--and you cannot discover anything unconditioned; nor can you decide whether this unconditioned is to be placed in an absolute beginning of the synthesis, or in an absolute totality of the series without beginning. Now, how it is possible that out of a given state one quite opposite to it in the same thing should follow, reason without an example can not only not conceive, but cannot even make intelligible without intuition; and this intuition is the motion of a point in space; the existence of which in different spaces (as a consequence of opposite determinations) alone makes the intuition of change possible. 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. There's no stopping me now. Our system concerning space and time consists of two parts, which are intimately connected together. As the pure intuition in all phenomena is either time or space, so is every phenomenon in its character of intuition an extensive quantity, inasmuch as it can only be cognized in our apprehension by successive synthesis (from part to part).