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Ideas for 'Frege's Theory of Numbers', 'The Metaphysics of Scientific Realism' and 'works'

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3 ideas

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

12688

Mathematics is the formal study of the categorical dimensions of things [Ellis]

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

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Gödel eventually hoped for a generalised completeness theorem leaving nothing undecidable [Gödel, by Koellner]

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The real reason for Incompleteness in arithmetic is inability to define truth in a language [Gödel]