Combining Texts

Ideas for 'Natural Kinds and Biological Realism', 'On the Foundations of Logic and Arithmetic' and 'The Rise of Analytic Philosophy 1879-1930'

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4 ideas

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

17697

The existence of an arbitrarily large number refutes the idea that numbers come from experience [Hilbert]

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

17698

Logic already contains some arithmetic, so the two must be developed together [Hilbert]

6. Mathematics / C. Sources of Mathematics / 7. Formalism

22310

The formalist defence against Gödel is to reject his metalinguistic concept of truth [Potter]

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

22298

Why is fictional arithmetic applicable to the real world? [Potter]