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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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Every general proposition, even if derived from experience by the process of induction, may serve as the major in a syllogism; but it is not for that reason a principle.

 There is scarce a moment of my life, wherein there is not a similar instance presented to me, and I have not occasion to suppose the continued existence of objects, in order to connect their past and present appearances, and give them such an union with each other, as I have found by experience to be suitable to their particular natures and circumstances. For such certainty cannot be found in an a posteriori proposition; and the conceptions a priori of space and time are, according to this opinion, mere creations of the imagination, having their source really in experience, inasmuch as, out of relations abstracted from experience, imagination has made up something which contains, indeed, general statements of these relations, yet of which no application can be made without the restrictions attached thereto by nature. If, then, I could understand the nature of a cosmological idea and perceive, before I entered on the discussion of the subject at all, that, whatever side of the question regarding the unconditioned of the regressive synthesis of phenomena it favoured--it must either be too great or too small for every conception of the understanding--I would be able to comprehend how the idea, which relates to an object of experience--an experience which must be adequate to and in accordance with a possible conception of the understanding--must be completely void and without significance, inasmuch as its object is inadequate, consider it as we may. And this is confirmed by common experience, which informs us, that men are often governed by their duties, and are detered from some actions by the opinion of injustice, and impelled to others by that of obligation. 
It is evident, that when an object is attended with contrary effects, we judge of them only by our past experience, and always consider those as possible, which we have observed to follow from it.
 

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 Now the nature and effects of experience have been already sufficiently examined and explained. It is not a priori manifest why phenomena should contain anything of this kind (we are of course debarred from appealing for proof to experience, for the objective validity of this conception must be demonstrated a priori), and it hence remains doubtful a priori, whether such a conception be not quite void and without any corresponding object among phenomena. And as this interest, which all men have in the upholding of society, and the observation of the rules of justice, is great, so is it palpable and evident, even to the most rude and uncultivated of human race; and it is almost impossible for any one, who has had experience of society, to be mistaken in this particular. 
  • The understanding exerts itself after two different ways, as it judges from demonstration or probability; as it regards the abstract relations of our ideas, or those relations of objects, of which experience only gives us information.