Combining Texts

Ideas for 'On the Question of Absolute Undecidability', 'Intro to the Philosophy of Time' and 'Begriffsschrift'

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5 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 / f. Mathematical induction

17855

It may be possible to define induction in terms of the ancestral relation [Frege, by Wright,C]

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 / C. Sources of Mathematics / 6. Logicism / b. Type theory

10607

Frege's logic has a hierarchy of object, property, property-of-property etc. [Frege, by Smith,P]