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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Accordingly we find in common life, that men are principally concerned about those objects, which are not much removed either in space or time, enjoying the present, and leaving what is afar off to the care of chance and fortune. So also, the application of space to objects in general would be transcendental; but if it be limited to objects of sense it is empirical. If the second part of my system be true, that the idea of space or extension is nothing but the idea of visible or tangible points distributed in a certain order; it follows, that we can form no idea of a vacuum, or space, where there is nothing visible or tangible. I desire therefore our mathematician to form, as accurately as possible, the ideas of a circle and a right line; and I then ask, if upon the conception of their contact he can conceive them as touching in a mathematical point, or if he must necessarily imagine them to concur for some space. For as to the principles of transcendental aesthetic, according to which space and time are the conditions of the possibility of things as phenomena, as also the restriction of these principles, namely, that they cannot be applied to objects as things in themselves--these, of course, do not fall within the scope of our present inquiry. Of this we find a striking example in the cognitions of space and its relations, which form the foundation of pure mathematics.