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added limitations on Wiles' claimed proof
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In the summer of 1986, Ken Ribet proved that Fermat's Last Theorem is a special case of the [[Taniyama–Shimura Conjecture]].
 
In the summer of 1986, Ken Ribet proved that Fermat's Last Theorem is a special case of the [[Taniyama–Shimura Conjecture]].
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In a series of lectures in 1993, mathematician [[Andrew Wiles]] announced a proof using techniques in algebraic geometry.  A flaw was found before publication.  Wiles spent a year trying to fix the flaw, and in September 1994, he and Richard Taylor announced a new version of the proof that was accepted by the mathematical community.
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In a series of lectures in 1993, mathematician [[Andrew Wiles]] announced a proof using techniques in algebraic geometry, relying on the disfavored [[Axiom of Choice]].<ref>http://jimcaprioli.blogspot.com/2005/04/fermats-last-theorem.html</ref> A flaw was found before publication.  Wiles spent a year trying to fix the flaw, and in September 1994, he and Richard Taylor announced a new version of the proof that is not widely understood but is no longer criticized by the mathematical community.
    
[[Category:Mathematics]]
 
[[Category:Mathematics]]
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