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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 in the Critique itself it will be demonstrated, not hypothetically, but apodeictically, from the nature of our representations of space and time. For, in order that certain sensations may relate to something without me (that is, to something which occupies a different part of space from that in which I am); in like manner, in order that I may represent them not merely as without, of, and near to each other, but also in separate places, the representation of space must already exist as a foundation. - Speculative reason has thus, at least, made room for such an extension of our knowledge; and, if it must leave this space vacant, still it does not rob us of the liberty to fill it up, if we can, by means of practical data--nay, it even challenges us to make the attempt.*
The constant form of this receptivity, which we call sensibility, is a necessary condition of all relations in which objects can be intuited as existing without us, and when abstraction of these objects is made, is a pure intuition, to which we give the name of space. 2. Space then is a necessary representation a priori, which serves for the foundation of all external intuitions. Hence, with him, space and time were possible--the former through the relation of substances, the latter through the connection of their determinations with each other, as causes and effects. We have already seen that we are in possession of two perfectly different kinds of conceptions, which nevertheless agree with each other in this, that they both apply to objects completely a priorI. These are the conceptions of space and time as forms of sensibility, and the categories as pure conceptions of the understanding.