Combining Texts

Ideas for 'On the Question of Absolute Undecidability', 'Ethics of the Concern for Self as Freedom' and 'Intermediate Logic'

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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 / f. Mathematical induction

13358

Ordinary or mathematical induction assumes for the first, then always for the next, and hence for all [Bostock]

13359

Complete induction assumes for all numbers less than n, then also for n, and hence for all numbers [Bostock]

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]