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'Sweet Dreams', 'Ontology and Mathematical Truth' and 'Philosophy of Mathematics'
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3 ideas
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]
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6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
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The subject-matter of (pure) mathematics is abstract structure [Jubien]
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Mathematics is the study of all possible patterns, and is thus bound to describe the world [Linnebo]
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