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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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For in that case they apply necessarily and a priori to objects of experience, because only through them can an object of experience be thought.

 

It is not maintained, that this unity does really exist, but that we must, in the interest of reason, that is, for the establishment of principles for the various rules presented by experience, try to discover and introduce it, so far as is practicable, into the sphere of our cognitions.

 Still less is an object of experience, or an image of the object, ever to the empirical conception. If the object is transcendental and therefore itself unknown; if the question, for example, is whether the object--the something, the phenomenon of which (internal--in ourselves) is thought--that is to say, the soul, is in itself a simple being; or whether there is a cause of all things, which is absolutely necessary--in such cases we are seeking for our idea an object, of which we may confess that it is unknown to us, though we must not on that account assert that it is impossible.* The cosmological ideas alone posses the peculiarity that we can presuppose the object of them and the empirical synthesis requisite for the conception of that object to be given; and the question, which arises from these ideas, relates merely to the progress of this synthesis, in so far as it must contain absolute totality--which, however, is not empirical, as it cannot be given in any experience. 
  • But without such a progress in philosophy, we are not subject to many mistakes in this particular, but are sufficiently guided by common experience, as well as by a kind of presentation; which tells us what will operate on others, by what we feel immediately in ourselves.
 That, in the explanation of phenomena, we must proceed as if the field of inquiry had neither limits in space nor commencement in time; that we must be satisfied with the teaching of experience in reference to the material of which the world is posed; that we must not look for any other mode of the origination of events than that which is determined by the unalterable laws of nature; and finally, that we not employ the hypothesis of a cause distinct from the world to account for a phenomenon or for the world itself--are principles for the extension of speculative philosophy, and the discovery of the true sources of the principles of morals, which, however little conformed to in the present day, are undoubtedly correct. But the pure conceptions of the understanding would entirely lose all their peculiar character, if we treated them merely as the productions of experience. Resemblance, then, has the same or a parallel influence with experience; and as the only immediate effect of experience is to associate our ideas together, it follows, that all belief arises from the association of ideas, according to my hypothesis. That it may possess a secure foundation, it bases its conclusions upon experience, and thus appears to be completely distinct from the ontological argument, which places its confidence entirely in pure a priori conceptions. Our Program works. Such principles mathematical science possesses, but their application to experience, consequently their objective validity, nay the possibility of such a priori synthetical cognitions (the deduction thereof) rests entirely upon the pure understanding.