Oyonale - 3D art and graphic experiments
ThinkSpam
Click on the phrases to see them in context. The original texts by Immanuel Kant and David Hume are available from the Gutenberg Projet.
.
If we listen to them, we shall find ourselves required to cogitate, in addition to the mathematical point, which is simple--not, however, a part, but a mere limit of space- physical points, which are indeed likewise simple, but possess the peculiar property, as parts of space, of filling it merely by their aggregation. Motion as an act of the subject (not as a determination of an object),* consequently the synthesis of the manifold in space, if we make abstraction of space and attend merely to the act by which we determine the internal sense according to its form, is that which produces the conception of succession. But motion, considered as the description of a space, is a pure act of the successive synthesis of the manifold in external intuition by means of productive imagination, and belongs not only to geometry, but even to transcendental philosophy.] On the other hand, the internal determinations of a substantia phaenomenon in space are nothing but relations, and it is itself nothing more than a complex of mere relations. And thus Leibnitz regarded space as a certain order in the community of substances, and time as the dynamical sequence of their states. Mathematics, too, treats of the difference of lines and surfaces--as spaces of different quality, of the continuity of extension--as a quality thereof. Lastly, the objective possibility of the category of community cannot be conceived by mere reason, and consequently its objective reality cannot be demonstrated without an intuition, and that external in space. For neither absolute nor relative determinations of objects can be intuited prior to the existence of the things to which they belong, and therefore not a priorI. (b) Space is nothing else than the form of all phenomena of the external sense, that is, the subjective condition of the sensibility, under which alone external intuition is possible.