Does mathematics need new axioms?

Bulletin of Symbolic Logic 6 (4):401-446 (2000)
Part of the ambiguity lies in the various points of view from which this question might be considered. The crudest di erence lies between the point of view of the working mathematician and that of the logician concerned with the foundations of mathematics. Now some of my fellow mathematical logicians might protest this distinction, since they consider themselves to be just more of those \working mathematicians". Certainly, modern logic has established itself as a very respectable branch of mathematics, and there are quite a few highly technical journals in logic, such as The Journal of Sym-
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DOI 10.2307/420965
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