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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The principle of continuity forbids any leap in the series of phenomena regarded as changes (in mundo non datur saltus); and likewise, in the complex of all empirical intuitions in space, any break or hiatus between two phenomena (non datur hiatus)- for we can so express the principle, that experience can admit nothing which proves the existence of a vacuum, or which even admits it as a part of an empirical synthesis. For such certainty cannot be found in an a posteriori proposition; and the conceptions a priori of space and time are, according to this opinion, mere creations of the imagination, having their source really in experience, inasmuch as, out of relations abstracted from experience, imagination has made up something which contains, indeed, general statements of these relations, yet of which no application can be made without the restrictions attached thereto by nature. 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. When we reflect, therefore, on any object distant from ourselves, we are obliged not only to reach it at first by passing through all the intermediate space betwixt ourselves and the object, but also to renew our progress every moment; being every moment recalled to the consideration of ourselves and our present situation. It certainly seems that, as a body must be cogitated as substance in space, the law of divisibility would not be applicable to it as substance. The infinite divisibility of space implies that of time, as is evident from the nature of motion. 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. Inasmuch as all external relation, consequently all composition of substances, is possible only in space; the space, occupied by that which is composite, must consist of the same number of parts as is contained in the composite.