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'Precis of 'Limits of Abstraction'', 'On the Foundations of Logic and Arithmetic' and 'Defending the Axioms'
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3 ideas
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
17697
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The existence of an arbitrarily large number refutes the idea that numbers come from experience [Hilbert]
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17614
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The connection of arithmetic to perception has been idealised away in modern infinitary mathematics [Maddy]
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6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
17698
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Logic already contains some arithmetic, so the two must be developed together [Hilbert]
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