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Ideas for 'Defending the Axioms', 'Realism, Mathematics and Modality' and 'What is Cantor's Continuum Problem?'

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3 ideas

6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism

10271

Basic mathematics is related to abstract elements of our empirical ideas [Gödel]

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

17614

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

6. Mathematics / C. Sources of Mathematics / 9. Fictional Mathematics

8714	Fictionalists say 2+2=4 is true in the way that 'Oliver Twist lived in London' is true [Field,H]