Combining Texts
Ideas for
'Realism in Mathematics', 'The Inference to the Best Explanation' and 'Pragmatism and Objective Truth'
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4 ideas
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / b. Greek arithmetic
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Greek mathematics is wholly sensory, where ours is wholly inferential [Macbeth]
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6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
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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
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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
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We know mind-independent mathematical truths through sets, which rest on experience [Maddy, by Jenkins]
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