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Ideas for 'Defending the Axioms', 'works' and 'works'

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3 ideas

6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / e. Caesar problem

10232

Property extensions outstrip objects, so shortage of objects caused the Caesar problem [Cantor, by Shapiro]

6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory

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Pure mathematics is pure set theory [Cantor]

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Set-theory tracks the contours of mathematical depth and fruitfulness [Maddy]