Quotes About Proofs

OS AXIOMAS, EMBORA BÁSICOS PARA TODAS AS PROVAS, SÃO ELES MESMOS NÃO-PROVADOS OU ATÉ MESMO NÃO PROVÁVEIS... SE OS AXIOMAS SÃO NEGADOS, AS PROPOSIÇÕES DEDUZIDAS A PARTIR DOS AXIOMAS NÃO EXISTEM, VISTO QUE NÃO HÁ NADA A PARTIR DO QUE ELAS POSSAM SER DERIVADAS; A VALIDADE DO SISTEMA INTEIRO TORNA-SE SUSPEITO... OS AXIOMAS DE UMA PESSOA DETERMINAM OS SEUS TEOREMAS.

The language of logical argument, of proofs,is the language of the limited self we know and can manipulate. But the language of parable and poetry, of storytelling,moves from the imprisoned language of the provable into the free language of what I must, for lack of another word, continue to call faith.

But Allendy says the need of gestures, of proofs of friendship, love, devotion, comes from lack of confidence. I should not need them, I should be able to dispense with them. Proofs of love and friendship are that I give to others all the time. And everyone seems to need them.

The suburbs: signs of life, but no proofs.

The art of drawing conclusions from experiments and observations consists in evaluating probabilities and in estimating whether they are sufficiently great or numerous enough to constitute proofs. This kind of calculation is more complicated and more difficult than it is commonly thought to be. . .

Those who claim to discover everything but produce no proofs of the same may be confuted as having actually pretended to discover the impossible.

Now all orators effect their demonstrative proofs by allegation either of enthymems or examples, and, besides these, in no other way whatever.

All proofs rest on premises.

there has sprung up a disturbing indifference to truth, and a tendency to regard the useful as the true, and the impractical as the false. The man who can make up his mind when proofs are presented to him is looked upon as a bigot, and the man who ignores proofs and the search for truth is looked upon as broadminded and tolerant.

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.

For twelve hundred years Mullahs have been writing proofs of the existence of God. Believe me, I've taught theology for a long time - none of them is real proof. The only real proof can come through illumination.

Thus, in a sense, mathematics has been most advanced by those who distinguished themselves by intuition rather than by rigorous proofs.

Cardinal arithmetic will be quite important for us, so we spend some time on it. Since, however, it tends to be trivial, we shall not need to spend much of this time on proofs.

So my advice is this—don't look for proofs. Don't bother with them at all. They are never sufficient to the question, and they're always a little impertinent, I think, because they claim for God a place within our conceptual grasp. And they will likely sound wrong to you even if you convince someone else with them.

And they want me to defend religion, and they want me to give them proofs. I just won't do it. It only confirms them in their skepticism. Because nothing true can be said a out God from a posture of defense.

even if we possessed the most accurate scientific knowledge, we should not find it easy to persuade them by the employment of such knowledge. For scientific discourse is concerned with instruction, but in the case of such persons instruction is impossible; our proofs and arguments must rest on generally accepted principles, as we said in the Topics, when speaking of converse with the multitude.

Now if you have proofs to bring forward, bring them forward, and your moral discourse as well; if you have no enthymemes, then fall back upon moral discourse: after all, it is more fitting for a good man to display himself as an honest fellow than as a subtle reasoner.

Listening to Bach, one sees God come into being. His music generates divinity After a Bach oratorio, cantata, or passion, one feels that God must be. Otherwise, Bach's music would be only heartrending illusion. Theologians and philosophers wasted so many days and nights searching for proofs of his existence, ignoring the only valid one: Bach.

It is another advantage of history, that it stores the mind with facts that apply to most subjects which occur in conversation among enlightened people. Whether morals, commerce, languages, polite literature be the object of discussion, it is history that must supply her large storehouse of proofs and illustrations.

There is no love; there are only proofs of love. Whatever love I might feel in my heart, others will see only my action.

Then, as now, anti-vaccination forces fed on anxiety about the individual's fate in industrialized societies; then, as now, they appealed to knee-jerk populism by conjuring up an imaginary elite with an insatiable hunger for control; then, as now, they preached the superiority of subjective beliefs over objective proofs, of knowledge acquired by personal experience rather than through scientific rigor.

The ultimate reason for teaching kids to write a proof is not that the world is full of proofs. It's that the world is full of non-proofs , and grown-ups need to know the difference. It's hard to settle for a non-proof once you've really familiarized yourself with the genuine article.

There is no love; there are only proofs of love." Whatever love I might feel in my heart, others will see only my actions.

Pierre Reverdy: "There is no love; there are only proofs of love.