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'fragments/reports', 'Investigations in the Foundations of Set Theory I' and 'Philosophy of Mathematics'
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5 ideas
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
10885
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Computer proofs don't provide explanations [Horsten]
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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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10881
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The concept of 'ordinal number' is set-theoretic, not arithmetical [Horsten]
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6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
9627
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Different versions of set theory result in different underlying structures for numbers [Zermelo, by Brown,JR]
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