Combining Texts
Ideas for
'Parmenides', 'The Intrinsic Quality of Experience' and 'The Philosophy of Logic'
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4 ideas
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
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Very large sets should be studied in an 'if-then' spirit [Putnam]
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6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
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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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6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics
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Indispensability strongly supports predicative sets, and somewhat supports impredicative sets [Putnam]
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We must quantify over numbers for science; but that commits us to their existence [Putnam]
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