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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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If we listen to them, we shall find ourselves required to cogitate, in addition to the mathematical point, which is simple--not, however, a part, but a mere limit of space- physical points, which are indeed likewise simple, but possess the peculiar property, as parts of space, of filling it merely by their aggregation.

 On the other hand, we might very well term the pure determinations in space and time, as well in regard to figure as to quantity, anticipations of phenomena, because they represent a priori that which may always be given a posteriori in experience. But motion, considered as the description of a space, is a pure act of the successive synthesis of the manifold in external intuition by means of productive imagination, and belongs not only to geometry, but even to transcendental philosophy.] 
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.
 As it is from the disposition of visible and tangible objects we receive the idea of space, so from the succession of ideas and impressions we form the idea of time, nor is it possible for time alone ever to make its appearance, or be taken notice of by the mind. To the question, therefore, respecting the cosmical quantity, the first and negative answer is; "The world has no beginning in time, and no absolute limit in space." 
In that demonstration, it was taken for granted that the world is a thing in itself--given in its totality prior to all regress, and a determined position in space and time was denied to it--if it was not considered as occupying all time and all space.
 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. Thus an expansion which fills a space--for example, caloric, or any other reality in the phenomenal world--can decrease in its degrees to infinity, yet without leaving the smallest part of the space empty; on the contrary, filling it with those lesser degrees as completely as another phenomenon could with greater. [*Footnote; It is evident that what is meant here is, that empty space, in so far as it is limited by phenomena--space, that is, within the world--does not at least contradict transcendental principles, and may therefore, as regards them, be admitted, although its possibility cannot on that account be affirmed.]