Combining Philosophers

Ideas for Pythagoras, Reiss,J/Spreger,J and Immanuel Kant

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7 ideas

6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics
12421 Kant's intuitions struggle to judge relevance, impossibility and exactness [Kitcher on Kant]
16910 Mathematics can only start from an a priori intuition which is not empirical but pure [Kant]
16917 All necessary mathematical judgements are based on intuitions of space and time [Kant]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
17617 Maths is a priori, but without its relation to empirical objects it is meaningless [Kant]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
16928 Mathematics cannot be empirical because it is necessary, and that has to be a priori [Kant]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
12458 Kant taught that mathematics is independent of logic, and cannot be grounded in it [Kant, by Hilbert]
2795 If 7+5=12 is analytic, then an infinity of other ways to reach 12 have to be analytic [Kant, by Dancy,J]