Combining Philosophers

Ideas for Archimedes, Peter Geach and Shaughan Lavine

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3 ideas

6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism

15935

Modern mathematics works up to isomorphism, and doesn't care what things 'really are' [Lavine]

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

10735

Abstraction from objects won't reveal an operation's being performed 'so many times' [Geach]

6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism

15928

Intuitionism rejects set-theory to found mathematics [Lavine]