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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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Mathematics, natural science, the common experience of men, have a high value as means, for the most part, to accidental ends--but at last also, to those which are necessary and essential to the existence of humanity.

 The principle of continuity forbids any leap in the series of phenomena regarded as changes (in mundo non datur saltus); and likewise, in the complex of all empirical intuitions in space, any break or hiatus between two phenomena (non datur hiatus)- for we can so express the principle, that experience can admit nothing which proves the existence of a vacuum, or which even admits it as a part of an empirical synthesis. I have already shewn, that the relation of cause and effect can never afford us any just conclusion from the existence or qualities of our perceptions to the existence of external continued objects: And I shall farther add, that even though they coued afford such a conclusion, we should never have any reason to infer, that our objects resemble our perceptions. It follows that this necessary existence must be regarded as the highest member of the cosmical series. Again, were we fully convinced, that our perceptions are dependent, and interrupted, and different, we should be as little inclined to embrace the opinion of a double existence; since in that case we should clearly perceive the error of our first supposition of a continued existence, and would never regard it any farther. The hypothesis of a supreme intelligence, as the sole cause of the universe--an intelligence which has for us no more than an ideal existence--is accordingly always of the greatest service to reason.