Combining Texts
Ideas for
'Realism in Mathematics', 'Philebus' and 'Moral Luck'
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5 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 / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
10718
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A natural number is a property of sets [Maddy, by Oliver]
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6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics
8756
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Intuition doesn't support much mathematics, and we should question its reliability [Maddy, by Shapiro]
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6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
17733
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We know mind-independent mathematical truths through sets, which rest on experience [Maddy, by Jenkins]
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