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Ideas for 'Function and Concept', 'Understanding the Infinite' and 'Principles of Arithmetic, by a new method'

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4 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 / 6. Logicism / a. Early logicism

8487	Arithmetic is a development of logic, so arithmetical symbolism must expand into logical symbolism [Frege]

17635

Arithmetic can have even simpler logical premises than the Peano Axioms [Russell on Peano]

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

15928

Intuitionism rejects set-theory to found mathematics [Lavine]