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'Parmenides', 'Structuralism' and 'Unpublished Notebooks 1885-86'
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4 ideas
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
23186
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Numbers enable us to manage the world - to the limits of counting [Nietzsche]
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6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
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Structuralism is now common, studying relations, with no regard for what the objects might be [Hellman]
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6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
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Maybe mathematical objects only have structural roles, and no intrinsic nature [Hellman]
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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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