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.
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Ch. 1John Stuart Mill
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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
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
True jealously wants not only fidelity, but the proof of fidelity as an imaginable situation. A jealous man is not content with his beloved not being unfaithful. Precisely that which he is not doing does not leave him in peace. But since there is no proving what is not done and the jealous man insists on proof, he ends up settling on proof of unfaithfulness.
Karl Kraus
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
The art of music is good, for the reason, among others, that it produces pleasure; but what proof is it possible to give that pleasure is good? If, then, it is asserted that there is a comprehensive formula, including all things which are in themselves good, and that whatever else is good, is not so as an end, but as a mean, the formula may be accepted or rejected, but is not a subject of what is commonly understood by proof.
John Stuart Mill
Mill, John Stuart
Millar, Fergus
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