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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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SECT. II. OF THE INFINITE DIVISIBILITY OF SPACE AND TIME.

 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. 

Secondly, if every phenomenon (matter) in space consists of an infinite number of parts, the regress of the division is always too great for our conception; and if the division of space must cease with some member of the division (the simple), it is too small for the idea of the unconditioned.

 Two thousand years with such long interruptions, and under such mighty discouragements are a small space of time to give any tolerable perfection to the sciences; and perhaps we are still in too early an age of the world to discover any principles, which will bear the examination of the latest posterity. Apart, then, from the only intuition possible for us, they have still less meaning than the pure sensuous forms, space and time, for through them an object is at least given, while a mode of connection of the manifold, when the intuition which alone gives the manifold is wanting, has no meaning at all. 

Infinite divisibility is applicable only to a quantum continuum, and is based entirely on the infinite divisibility of space, But in a quantum discretum the multitude of parts or units is always determined, and hence always equal to some number.

 For we imagine them in this case to be separated by a completely void space, and thus perception, which proceeds from the one to the other in time, would indeed determine their existence by means of a following perception, but would be quite unable to distinguish whether the one phenomenon follows objectively upon the first, or is coexistent with it.