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Ideas for 'Defending the Axioms', 'The Evolution of Logic' and 'On the Introduction of Transfinite Numbers'

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6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism

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The connection of arithmetic to perception has been idealised away in modern infinitary mathematics [Maddy]

6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique

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Mathematics makes existence claims, but philosophers usually say those are never analytic [Hart,WD]