Proof of Fermat's Last Theorem

Published: 22 February 2021| Version 1 | DOI: 10.17632/h74x89p68y.1
nikos mantzakouras


If Fermat’s Last Theorem were false, this would require either a conspiracy theory , or a quasi-conspiracy theory. “The conspiracy theory, of course, would be that mathematicians as a body know that Fermat’s Last Theorem is false, but do not want everyone else to know this, so they claim that they have verified the proof and found it valid, while in reality there are flaws in it and they know about them. The quasi-conspiracy theory would be that mathematicians as a body believe that Fermat’s Last Theorem is true, but that they consistently fail in their attempt to verify the proof. There is a mistake in it, but each time someone tries to verify it, they fail to notice the mistake. The reason to call this a quasi-conspiracy theory is that the most reasonable way for this to happen is if mathematicians as a body have motivations similar to the mathematicians in the case of the actual conspiracy, motivations that cause them to behave in much the same ways in practice. We can see this by considering a case where you would have an actual conspiracy. Suppose a seven year old child is told by his parents that Santa Claus is the one who brings presents on Christmas Eve. The child believes them. When he speaks with his playmates, they tell him the same thing. If he notices something odd, his parents explain it away. He asks other adults about it, and they say the same thing. The adults as a body are deceiving the child about the fact that Santa Claus does not exist, and they are doing this by means of an actual conspiracy. And in reality, this may be the only likely way for this to happen in the case of mathematics. But in other cases, there may be a more plausible mechanism to generate consistent mistakes, and this is wishful thinking of one kind or another. If mathematicians as a body want Fermat’s Last Theorem to be true and to be a settled question, they may carelessly overlook mistakes in the proof, in order to say that it is true. Technically they are not making a deliberate mistake. But in practice it is the lack of care about truth, and the interest in something opposed to truth, which makes them act as a body to deceive others, just as an actual conspiracy does.” The fact is, of course, that the proof of the Wiles is not widely accepted and understood, therefore it is a proof of conspiracy . However, the Last theorem of fermat as a theorem is correct, the healthy mathematical community expects a proof accessible at its average spiritual level so that it is a clear proof and within the real mathematical theories.



National and Kapodistrian University of Athens


Number Theory, Algorithms