Combining Texts
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'Parmenides', 'Examination of Sir Wm Hamilton's Philosophy' and 'The Philosophy of Logic'
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3 ideas
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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