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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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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.

 The infinite divisibility of space implies that of time, as is evident from the nature of motion. 
But the understanding at the same time comprehends that it cannot employ its categories for the consideration of things in themselves, because these possess significance only in relation to the unity of intuitions in space and time, and that they are competent to determine this unity by means of general a priori connecting conceptions only on account of the pure ideality of space and time.
 But such a relation, and consequently the limitation of the world by void space, is nothing. SECT. II. OF THE INFINITE DIVISIBILITY OF SPACE AND TIME. Consequently the coexistence of substances in space cannot be cognized in experience otherwise than under the precondition of their reciprocal action. The cause of this phaenomenon must evidently lie in the different properties of space and time. (See SS 3.) Therefore, to speak accurately, no ideality whatever belongs to these, although they agree in this respect with the representation of space, that they belong merely to the subjective nature of the mode of sensuous perception; such a mode, for example, as that of sight, of hearing, and of feeling, by means of the sensations of colour, sound, and heat, but which, because they are only sensations and not intuitions, do not of themselves give us the cognition of any object, least of all, an a priori cognition.