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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.

1 vote

Arguments against large cardinals

"Why is it so unreasonable to think that the existence of large cardinals contradicts ZFC?" I don't think that it is so unreasonable, given the Kunen inconsistency, for example. No one suspected that …
Jesse Elliott's user avatar
7 votes
3 answers
3k views

Are the categories of sets, abelian groups, and commutative rings unique?

Are the categories of sets, abelian groups, and commutative rings unique? Independence results like the independence of the generalized continuum hypothesis, the Whitehead problem, and the global dim …
3 votes

Is beauty at the high school level even possible?

Julia Sets (source: wikimedia.org)