Combining Philosophers

Ideas for Anaxarchus, Critias and Immanuel Kant

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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]