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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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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.

 My existence is thus already given by the act of consciousness; but the mode in which I must determine my existence, that is, the mode in which I must place the manifold belonging to my existence, is not thereby given. 
  • [*Footnote; The "I think" is, as has been already stated, an empirical proposition, and contains the proposition, "I exist." But I cannot say, "Everything, which thinks, exists"; for in this case the property of thought would constitute all beings possessing it, necessary being Hence my existence cannot be considered as an inference from the proposition, "I think," as Descartes maintained--because in this case the major premiss, "Everything, which thinks, exists," must precede--but the two propositions are identical.
 To time, therefore, which is itself unchangeable and permanent, corresponds that which in the phenomenon is unchangeable in existence, that is, substance, and it is only by it that the succession and coexistence of phenomena can be determined in regard to time.) If, now, we take the above propositions--as they must be accepted as valid for all thinking beings in the system of rational psychology--in synthetical connection, and proceed, from the category of relation, with the proposition; "All thinking beings are, as such, substances," backwards through the series, till the circle is completed; we come at last to their existence, of which, in this system of rational psychology, substances are held to be conscious, independently of external things; nay, it is asserted that, in relation to the permanence which is a necessary characteristic of substance, they can of themselves determine external things. The mind always pronounces the one not to be the other, and considers them as forming two, three, or any determinate number of objects, whose existences are entirely distinct and independent. Not being able to reconcile these two enemies, we endeavour to set ourselves at ease as much as possible, by successively granting to each whatever it demands, and by feigning a double existence, where each may find something, that has all the conditions it desires. And as I wish to prove the existence of simple substances, only in relation to, and as the elements of, the composite, I might term the antithesis of the second Antinomy, transcendental Atomistic. [SECT. 6.] We may begin with observing, that the difficulty in the present case is not concerning the matter of fact, or whether the mind forms such a conclusion concerning the continued existence of its perceptions, but only concerning the manner in which the conclusion is formed, and principles from which it is derived. (Time passes not, but in it passes the existence of the changeable.