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Ideas for 'works', 'Remarks on axiomatised set theory' and 'Philosophy of Mathematics'

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3 ideas

6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics

17880

Integers and induction are clear as foundations, but set-theory axioms certainly aren't [Skolem]

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

23446

You can't prove consistency using a weaker theory, but you can use a consistent theory [Linnebo]

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism

23448

Mathematics is the study of all possible patterns, and is thus bound to describe the world [Linnebo]