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Ideas for 'Parmenides', 'Critique of Pure Reason' and 'Philosophy and Scientific Image of Man'

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3 ideas

6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry

3343	Euclid's could be the only viable geometry, if rejection of the parallel line postulate doesn't lead to a contradiction [Benardete,JA on Kant]

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers

8737	Kant suggested that arithmetic has no axioms [Kant, by Shapiro]

5557	Axioms ought to be synthetic a priori propositions [Kant]