Rethinking the Proof of Fermat’s Last Theorem

Yadong Wang

Fushun Petrochemical Company, Beijing, 100190, China

Abstract: The proof of Fermat's last theorem, which has been recognized so far, was published by Andrew Wiles in 1995. It has been reviewed by six experts and approved by mathematicians all over the world. How-ever, this paper from two aspects pointed out there is an intrinsically logical mistake of Wiles’ proof, which means the proof of Fermat’s theorem is still not completely proved. First of all, language and linguistic ex-pression are two different things, so language does not die because of improper expression. Second, Wiles’ mistake is further explained using the relationship between Galois group and automorphism group.

Keywords: Fermat’s last theorem; Conjecture, Galois group; Equation non-existence, Mathematical language; Linguistic expression