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Ideas for
'The Elm and the Expert', 'Knowledge and the Philosophy of Number' and 'Investigations in the Foundations of Set Theory I'
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4 ideas
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / f. Zermelo numbers
18178
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For Zermelo the successor of n is {n} (rather than n U {n}) [Zermelo, by Maddy]
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6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
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Zermelo believed, and Von Neumann seemed to confirm, that numbers are sets [Zermelo, by Maddy]
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6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / b. Mathematics is not set theory
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Numbers are properties, not sets (because numbers are magnitudes) [Hossack]
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6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
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Different versions of set theory result in different underlying structures for numbers [Zermelo, by Brown,JR]
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