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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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On the other hand, the incompatibility of the parts of time in their real existence separates them in the imagination, and makes it more difficult for that faculty to trace any long succession or series of events.

 
If, accordingly, an object which must be regarded as a sensuous phenomenon possesses a faculty which is not an object of sensuous intuition, but by means of which it is capable of being the cause of phenomena, the causality of an object or existence of this kind may be regarded from two different points of view.
 The proposition, "I think," is, in the present case, understood in a problematical sense, not in so far as it contains a perception of an existence (like the Cartesian "Cogito, ergo sum"),[Footnote; "I think, therefore I am."] but in regard to its mere possibility--for the purpose of discovering what properties may be inferred from so simple a proposition and predicated of the subject of it. For every one of its real properties, being derived, must be only conditionally necessary, and can therefore be annihilated in thought; and thus the whole existence of matter can be so annihilated or suppressed. Now, how it is possible that out of a given state one quite opposite to it in the same thing should follow, reason without an example can not only not conceive, but cannot even make intelligible without intuition; and this intuition is the motion of a point in space; the existence of which in different spaces (as a consequence of opposite determinations) alone makes the intuition of change possible. Moreover, the criterion of necessity in existence possesses no application beyond the field of possible experience, and even in this it is not valid of the existence of things as substances, because these can never be considered as empirical effects, or as something that happens and has a beginning. When an object is found by-experience to be always accompanyed with another; whenever the first object appears, though changed in very material circumstances; we naturally fly to the conception of the second, and form an idea of it in as lively and strong a manner, as if we had infered its existence by the justest and most authentic conclusion of our understanding. 
Thus the principle of individuation is nothing but the INVARIABLENESS and UNINTERRUPTEDNESS of any object, thro a supposd variation of time, by which the mind can trace it in the different periods of its existence, without any break of the view, and without being obligd to form the idea of multiplicity or number.
 This proof can at most, therefore, demonstrate the existence of an architect of the world, whose efforts are limited by the capabilities of the material with which he works, but not of a creator of the world, to whom all things are subject. But as a little reflection destroys this conclusion, that our perceptions have a continued existence, by shewing that they have a dependent one, it would naturally be expected, that we must altogether reject the opinion, that there is such a thing in nature as a continued existence, which is preserved even when it no longer appears to the senses.