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'Parmenides', 'Hilbert's Programme' and 'Tropes'
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3 ideas
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
17809
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Gödel showed that the syntactic approach to the infinite is of limited value [Kreisel]
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6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
17810
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The study of mathematical foundations needs new non-mathematical concepts [Kreisel]
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6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
16150
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One is, so numbers exist, so endless numbers exist, and each one must partake of being [Plato]
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