Combining Texts
Ideas for
'Parmenides', 'Critique of Pure Reason' and 'Philosophy and Scientific Image of Man'
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5 ideas
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
16150
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One is, so numbers exist, so endless numbers exist, and each one must partake of being [Plato]
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6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics
12421
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Kant's intuitions struggle to judge relevance, impossibility and exactness [Kitcher on Kant]
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6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
17617
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Maths is a priori, but without its relation to empirical objects it is meaningless [Kant]
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6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
12458
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Kant taught that mathematics is independent of logic, and cannot be grounded in it [Kant, by Hilbert]
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2795
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If 7+5=12 is analytic, then an infinity of other ways to reach 12 have to be analytic [Kant, by Dancy,J]
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