Combining Texts

Ideas for 'On the Question of Absolute Undecidability', 'Concluding Unscientific Postscript' and 'Introduction to the Theory of Logic'

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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

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If a set is defined by induction, then proof by induction can be applied to it [Zalabardo]

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]