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Ideas for 'On the Question of Absolute Undecidability', 'Free Will as Involving Determinism' and 'works'

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6 ideas

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity

17890

There are at least eleven types of large cardinal, of increasing logical strength [Koellner]

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 / c. Fregean numbers

3331	If '5' is the set of all sets with five members, that may be circular, and you can know a priori if the set has content [Benardete,JA on Frege]

6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism

16880

Frege aimed to discover the logical foundations which justify arithmetical judgements [Frege, by Burge]

8689	Eventually Frege tried to found arithmetic in geometry instead of in logic [Frege, by Friend]