Oyonale - Créations 3D et expériences graphiques
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Cliquer sur les phrases pour les voir dans leur contexte. Les textes de Immanuel Kant et David Hume sont disponibles auprès du Projet Gutenberg.
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For we may and ought to grant, in the case of space, that division or decomposition, to any extent, never can utterly annihilate composition (that is to say, the smallest part of space must still consist of spaces); otherwise space would entirely cease to exist- which is impossible. this ideality, like that of space, is not to be proved or illustrated by fallacious analogies with sensations, for this reason--that in such arguments or illustrations, we make the presupposition that the phenomenon, in which such and such predicates inhere, has objective reality, while in this case we can only find such an objective reality as is itself empirical, that is, regards the object as a mere phenomenon. As space is not a composite of substances (and not even of real accidents), if I abstract all composition therein--nothing, not even a point, remains; for a point is possible only as the limit of a space--consequently of a composite. But the synthesis of the manifold parts of space--(the syntheses whereby we apprehend space)--is nevertheless successive; it takes place, therefore, in time, and contains a series. Empirical intuition is possible only through pure intuition (of space and time); consequently, what geometry affirms of the latter, is indisputably valid of the former. There is an easy reason, why every thing contiguous to us, either in space or time, should be conceived with a peculiar force and vivacity, and excel every other object, in its influence on the imagination. 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. With 20% of the remitted funds, we will keep 70% while the remaining 10% will be set aside for expenses and to pay the necessary taxes. Thus the conception of pure and merely intelligible objects is completely void of all principles of its application, because we cannot imagine any mode in which they might be given, and the problematical thought which leaves a place open for them serves only, like a void space, to limit the use of empirical principles, without containing at the same time any other object of cognition beyond their sphere.