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Ideas for 'Parmenides', 'Knowledge:Readings in Cont.Epist' and 'works'

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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]

6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism

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One is, so numbers exist, so endless numbers exist, and each one must partake of being [Plato]