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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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This supposition, or idea of continued existence, acquires a force and vivacity from the memory of these broken impressions, and from that propensity, which they give us, to suppose them the same; and according to the precedent reasoning, the very essence of belief consists in the force and vivacity of the conception.

 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. From all this it may be infered, that no other faculty is required, beside the senses, to convince us of the external existence of body. thing that is real in the soul, and has a degree--consequently its entire existence--has been halved, a particular substance would arise out of the soul. These principles have this peculiarity, that they do not concern phenomena, and the synthesis of the empirical intuition thereof, but merely the existence of phenomena and their relation to each other in regard to this existence. But the question in the present case is evidently synthetical--it aims at the extension of our cognition beyond the bounds of experience--it requires an assurance respecting the existence of a being corresponding with the idea in our minds, to which no experience can ever be adequate. This mighty, irresistible proof--accompanied by an ever-increasing knowledge of the conformability to a purpose in everything we see around us, by the conviction of the boundless immensity of creation, by the consciousness of a certain illimitableness in the possible extension of our knowledge, and by a desire commensurate therewith--remains to humanity, even after the theoretical cognition of ourselves has failed to establish the necessity of an existence after death. 
I answer; It is absurd to introduce--under whatever term disguised--into the conception of a thing, which is to be cogitated solely in reference to its possibility, the conception of its existence.