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Ideas for 'On the Question of Absolute Undecidability', 'Moral Dilemmas Revisited' and 'works'

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4 ideas

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic

17887

PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner]

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic

17891

Arithmetical undecidability is always settled at the next stage up [Koellner]

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

18176

Pure mathematics is pure set theory [Cantor]