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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.

30 votes
3 answers
4k views

How much should the average mathematician know about foundations?

How much should an average mathematician not working in an area like logic, set theory, or foundations know about the foundations of mathematics? The thread Why should we believe in the axiom of regu …
0 votes
2 answers
580 views

Why are model theorists free to use GCH and other semi-axioms? [closed]

Looking into the open problem section of the book Model theory by Chang and Keisler, I noticed that many problems assumed semi-axioms like GCH. I talk about 'semi-axioms' because these "axioms" are sh …