International Congress of Arts And Science volume 1

Cover International Congress of Arts And Science volume 1
International Congress of Arts And Science volume 1
International Congress of Arts And Science 1904
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Thus we obtain as a first distinction between the pure and the empirical sciences the principle that the propositions of the former class are all analytical, those of the latter all synthetic. It is not the least of the services which France is now rendering to the study of philosophy that we are at last being placed by the labors of M. Couturat in a position to appreciate at their full worth the views of the first and greatest of German philosophers on this distinction, and to understand how m...arvelously they have been confirmed by the subsequent history of mathematics and of logic.
(2) A consequence of this distinction is that only the pure or formal sciences can be matter of rigid logical demonstration. Since the empirical or applied sciences one and all contain empirical pre- mises, i. E. , premises which we admit as true only because they have always appeared to be confirmed by the appeal to " intuition, " and not because the denial of them can be shown to lead to false- hood, the conclusions to which they conduct us must one and all depend, in part at least, upon induction from actual observation of particular temporal sequences.


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