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'fragments/reports', 'Philebus' and 'On the Foundations of Logic and Arithmetic'
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4 ideas
6. Mathematics / A. Nature of Mathematics / 2. Geometry
9867
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It is absurd to define a circle, but not be able to recognise a real one [Plato]
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6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
9865
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Daily arithmetic counts unequal things, but pure arithmetic equalises them [Plato]
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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 / 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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