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'fragments/reports', 'My Philosophical Development' and 'On the Foundations of Logic and Arithmetic'
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6 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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6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
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We tried to define all of pure maths using logical premisses and concepts [Russell]
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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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6. Mathematics / C. Sources of Mathematics / 7. Formalism
6424
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Formalists say maths is merely conventional marks on paper, like the arbitrary rules of chess [Russell]
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6425
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Formalism can't apply numbers to reality, so it is an evasion [Russell]
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6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism
6426
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Intuitionism says propositions are only true or false if there is a method of showing it [Russell]
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