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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 natural consequence of this reasoning should be, that our perceptions have no more a continued than an independent existence; and indeed philosophers have so far run into this opinion, that they change their system, and distinguish, (as we shall do for the future) betwixt perceptions and objects, of which the former are supposed to be interrupted, and perishing, and different at every different return; the latter to be uninterrupted, and to preserve a continued existence and identity.

 When the mind looks farther than what immediately appears to it, its conclusions can never be put to the account of the senses; and it certainly looks farther, when from a single perception it infers a double existence, and supposes the relations of resemblance and causation betwixt them. But, as we have allowed ourselves to assume the existence of a self-subsistent reality out of the field of experience, and are therefore obliged to regard phenomena as merely a contingent mode of representing intelligible objects employed by beings which are themselves intelligences--no other course remains for us than to follow an alogy and employ the same mode in forming some conception of intelligible things, of which we have not the least knowledge, which nature taught us to use in the formation of empirical conceptions. 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. So strong the prejudice for the distinct continued existence Of the former qualities, that when the contrary opinion is advanced by modern philosophers, people imagine they can almost refute it from their feeling and experience, and that their very senses contradict this philosophy. 
The simple supposition of their continued existence suffices for this purpose, and gives us a notion of a much greater regularity among objects, than what they have when we look no farther than our senses.
 As we conclude from the distinction and separability of their ideas, that external objects have a separate existence from each other; so when we make these ideas themselves our objects, we must draw the same conclusion concerning them, according to the precedent reasoning. But the unlimited all is an absolute unity, and is conceived by the mind as a being one and supreme; and thus reason concludes that the Supreme Being, as the primal basis of all things, possesses an existence which is absolutely necessary.