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Philosophical aspects of logic and set theory; truth status of mathematical axioms; Philosophy of Mathematics; philosophical aspects of mathematics in general; relation of mathematics to philosophy; etc. Consider also posting at http://philosophy.stackexchange.com/, where philosophy-of-mathematics is one of the most popular tags.

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Plausibility argument for a measurable cardinal

The following question is not mathematically precise but perhaps of some philosophical interest. A typical plausibility argument for assuming the existence of inaccessible cardinals goes as follows: …