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'Saundaranandakavya', 'Realism in Mathematics' 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
13027
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Zermelo believed, and Von Neumann seemed to confirm, that numbers are sets [Zermelo, by Maddy]
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10718
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A natural number is a property of sets [Maddy, by Oliver]
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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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