I don't believe Fermat had a proof. I think he fooled himself into thinking he had a proof.
Andrew Wiles
Fermat couldn't possibly have had this proof.
Andrew Wiles
I shall, without further discussion of the other theories, attempt to contribute something towards the understanding and appreciation of the Utilitarian or Happiness theory, and towards such proof as it is susceptible of. It is evident that this cannot be proof in the ordinary and popular meaning of the term. Questions of ultimate ends are not amenable to direct proof. Whatever can be proved to be good, must be so by being shown to be a means to something admitted to be good without proof.
John Stuart Mill
I am obliged to interpolate some remarks on a very difficult subject: proof and its importance in mathematics. All physicists, and a good many quite respectable mathematicians, are contemptuous about proof. I have heard Professor Eddington, for example, maintain that proof, as pure mathematicians understand it, is really quite uninteresting and unimportant, and that no one who is really certain that he has found something good should waste his time looking for proof.
G. H. Hardy
I mean the word proof not in the sense of the lawyers, who set two half proofs equal to a whole one, but in the sense of a mathematician, where ? proof = 0, and it is demanded for proof that every doubt becomes impossible.
Carl Friedrich Gauss
To be an atheist is to maintain God. His existence or his nonexistence, it amounts to much the same, on the plane of proof. Thus proof is a word not often used among the Handdarata, who have chosen not to treat God as a fact, subject either to proof or to belief: and they have broken the circle, and go free.
To learn which questions are unanswerable, and not to answer them: this skill is most needful in times of stress and darkness.Ursula K. Le Guin
Wiles, Andrew
Wilhelm II of Germany
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