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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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Whoever would explain the origin of the common opinion concerning the continued and distinct existence of body, must take the mind in its common situation, and must proceed upon the supposition, that our perceptions are our only objects, and continue to exist even when they are not perceived.

 But here the interruptions in the appearance of these perceptions are so long and frequent, that it is impossible to overlook them; and as the appearance of a perception in the mind and its existence seem at first sight entirely the same, it may be doubted, whether we can ever assent to so palpable a contradiction, and suppose a perception to exist without being present to the mind. Under this last head I comprehend their situation as well as relations, their external position as well as the independence of their existence and operation. 
  • To demonstrate the existence of a necessary being, I cannot be permitted in this place to employ any other than the cosmological argument, which ascends from the conditioned in phenomena to the unconditioned in conception--the unconditioned being considered the necessary condition of the absolute totality of the series.
 We advance, rather than retard our existence; and following what seems the natural succession of time, proceed from past to present, and from present to future. Hence, Leibnitz, in attributing to the substances of the world--as cogitated by the understanding alone--a community, required the mediating aid of a divinity; for, from their existence, such a property seemed to him with justice inconceivable. But let us consider, that no two ideas are in themselves contrary, except those of existence and non-existence, which are plainly resembling, as implying both of them an idea of the object; though the latter excludes the object from all times and places, in which it is supposed not to exist. For, although I do not discover the element of the unconditioned in the conception of such a being--an element which is manifestly existent in the sum-total of all conditions--I am not entitled to conclude that its existence is therefore conditioned; just as I am not entitled to affirm, in a hypothetical syllogism, that where a certain condition does not exist (in the present, completeness, as far as pure conceptions are concerned), the conditioned does not exist either.