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Ideas for 'works', 'Philosophy of Mathematics' and 'The Confessions'

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

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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

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