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Philosophy
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5 / 1168 |
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However, that it is analytic can be disproved thus: if the numbers 4 and 8 in the calculation 4 + 8 = 12 are examined, there is nothing to be found in them by which the number 12 can be inferred. Such it is that 4 + 8 and the cube root of 1,728 or 12 are not analytic because their reference is the same but their sense is not—that the mathematic judgment 4 + 8 = 12 tells us something new about the world...
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It is self-evident, and undeniably a priori, but at the same time it is synthetic. Kant proves a proposition can be synthetic and known a priori (Livingstone 356).
Kant asserts that experience is based both upon the perception of external objects and priori knowledge. The external world, he writes, provides those things which we sense...
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