What does it take to prove fermat's last theorem? Grothendieck and the logic of number theory

Bulletin of Symbolic Logic 16 (3):359-377 (2010)
Abstract
This paper explores the set theoretic assumptions used in the current published proof of Fermat's Last Theorem, how these assumptions figure in the methods Wiles uses, and the currently known prospects for a proof using weaker assumptions.
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DOI 10.2178/bsl/1286284558
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