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Ideas for 'Lectures on Ethics', 'Critique of Pure Reason' and 'Particle Physics'

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4 ideas

6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics
Kant's intuitions struggle to judge relevance, impossibility and exactness [Kitcher on Kant]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
Maths is a priori, but without its relation to empirical objects it is meaningless [Kant]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Kant taught that mathematics is independent of logic, and cannot be grounded in it [Kant, by Hilbert]
If 7+5=12 is analytic, then an infinity of other ways to reach 12 have to be analytic [Kant, by Dancy,J]