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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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In the first place, it is evident that both present us, with very many apodeictic and synthetic propositions a priori, but especially space--and for this reason we shall prefer it for investigation at present.

 But experience teaches me that, how far soever I go, I always see before me a space in which I can proceed farther; and thus I know the limits--merely visual--of my actual knowledge of the earth, although I am ignorant of the limits of the earth itself. Space and time are quanta continua, because no part of them can be given, without enclosing it within boundaries (points and moments), consequently, this given part is itself a space or a time. Now to this presupposition, for which they can have no ground in experience, and which consequently is merely metaphysical, I oppose a transcendental demonstration, which it is true will not explain the difference in the filling up of spaces, but which nevertheless completely does away with the supposed necessity of the above-mentioned presupposition that we cannot explain the said difference otherwise than by the hypothesis of empty spaces. And thus Leibnitz regarded space as a certain order in the community of substances, and time as the dynamical sequence of their states. But in this case, no a priori synthetical cognition of them could be possible, consequently not through pure conceptions of space and the science which determines these conceptions, that is to say, geometry, would itself be impossible.