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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.
5
votes
Ultrainfinitism, or a step beyond the transfinite
You might like the peculiar set theory NFU (Quine New Foundation, but with atoms)
extended with axioms which are quite natural in the NFU context and that turn out
to be equiconsistent with ZFC plus s …