Quotes About Proofs

All the truths of mathematics are linked to each other, and all means of discovering them are equally admissible.

Q: Why bother doing proofs about programming languages? They are almost always boring if the definitions are right. A: The definitions are almost always wrong. - Anonymous

We shall be compelled to renounce the hope of finding philosophical proofs of religious beliefs. ...Hence, once more, the value of philosophy must not depend upon any supposed body of definitely ascertainable knowledge to be acquired by those who study it.

Taste has no system and no proofs. But there is something like a logic of taste: the consistent sensibility which underlies and gives rise to a certain taste.

The first unquestionable proofs of the transformation of elements into different chemical elements have been provided by the study of the phenomena of radioactivity.

A mathematician is a person who can find analogies between theorems a better mathematician is one who can see analogies between proofs and the best mathematician can notice analogies between theories.

The habit of an opinion often leads to the complete conviction of its truth, it hides the weaker parts of it, and makes us incapable of accepting the proofs against it.

Too many proofs spoil the truth.

A math lecture without a proof is like a movie without a love scene. This talk has two proofs.

7] Letter showing the usefulness of proofs, by the Machine. Faith is different from proof. One is human and the other a gift of God. The just shall live by faith.1 This is the faith that God himself puts into our hearts, often using proof as the instrument. Faith cometh by hearing.2 But this faith is in our hearts, and makes us say not 'I know' but 'I believe'.

It may be that there are such things as true proofs, but it is not certain.

There were other proofs to connect Alendi to the Hero of Ages. Smaller things, things that only one trained in the lore of the Anticipation would have noticed. The birthmark on his arm. The way his hair turned gray when he was barely twenty and five years of age. The way he spoke, the way he treated people, the way he ruled. He simply seemed to fit.

What saved me, as I now see, was that it turned to something else altogether. It didn't last as suspense - it was superseded by horrible proofs.

It would be very discouraging if somewhere down the line you could ask a computer if the Riemann hypothesis is correct and it said, 'Yes, it is true, but you won't be able to understand the proof.'

I say you don't need any more proof. There are proofs enough already. Cygnus A and all that are just for the scientists. You think it'll be hard to convince ordinary people that you're telling the truth. I think it'll be easy as pie. You think your story is too peculiar, too alien. But I've heard it before. I know it well. And I bet you do too.

In the empirical sciences, which alone can furnish us with information about the world we live in, proofs do not occur, if we mean by 'proof' an argument which establishes once and for ever the truth of a theory.

The function of a mathematician is to do something, to prove new theorems, to add to mathematics, and not to talk about what he or other mathematicians have done.

All proofs inevitably lead to propositions which have no proof! All things are known because we want to believe in them.

Proofs can cause dizziness or excessive drowsiness. Side effects of prolonged exposure may include night sweats, panic attacks, and, in rare cases, euphoria. Ask your doctor if proofs are right for you.

strict mathematical form, with propositions, proofs, corollaries, lemmas, scholiums, and the like. However, the subject matter of metaphysics and of morals is not very satisfactorily

Proofs of the week's paper were spread out on what I grandly called my desk. This was a rickety wooden table against the side wall outside the Editor's office.

The archetype, as a glance at the history of religious phenomena will show, has a characteristically numinous effect, so that the subject is gripped by it as though by an instinct. What is more, instinct itself can be restrained and even overcome by this power, a fact for which there is no need to advance proofs.

Torricelli fully realized the advantages and disadvantages of the method of indivisibles; and he suspected that the ancients possessed some such method for discovering difficult theorems, the proofs of which they cast in another form either "to hide the secret of their method or to avoid giving occasion for contradiction to jealous detractors.

Since fresh examples and proofs could always be found of the alleged relation between guilt and punishment: if you behave in such and such a way, it will go badly with you. Now, as it generally does go badly, the allegation was constantly confirmed; and thus popular morality, a pseudo- science on a level with popular medicine, continually gained ground.