Oyonale - 3D art and graphic experiments
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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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For, if these objections hold good, we deny to space, and with it to all mathematics, objective validity, and no longer know wherefore, and how far, mathematics can be applied to phenomena. A conception of space and time as quanta may be presented a priori in intuition, that is, constructed, either alone with their quality (figure), or as pure quantity (the mere synthesis of the homogeneous), by means of number. It is, moreover, not necessary that we should limit the mode of intuition in space and time to the sensuous faculty of man. All substances, in so far as they can be perceived in space at the same time, exist in a state of complete reciprocity of action. For, if they decide for the first view, and make space and time into substances, this being the side taken by mathematical natural philosophers, they must admit two self-subsisting nonentities, infinite and eternal, which exist (yet without there being anything real) for the purpose of containing in themselves everything that is real. If it is finite and limited, we have a right to ask; "What determines these limits?" Void space is not a self-subsistent correlate of things, and cannot be a final condition--and still less an empirical condition, forming a part of a possible experience.