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'Metaphysics: the logical approach', 'talk' and 'Elements of Intuitionism'
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5 ideas
6. Mathematics / A. Nature of Mathematics / 2. Geometry
3332
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Greeks saw the science of proportion as the link between geometry and arithmetic [Benardete,JA]
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6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
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Negatives, rationals, irrationals and imaginaries are all postulated to solve baffling equations [Benardete,JA]
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3337
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Natural numbers are seen in terms of either their ordinality (Peano), or cardinality (set theory) [Benardete,JA]
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6. Mathematics / A. Nature of Mathematics / 5. The Infinite / c. Potential infinite
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Platonists ruin infinity, which is precisely a growing structure which is never completed [Dummett]
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6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism
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For intuitionists it is constructed proofs (which take time) which make statements true [Dummett]
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