Quotes About Proof

Popper was already working towards his 'fallibilist' view that theories can never be proved, although they can be decisively disproved—but it had survived a severe test, and had emerged as a theory worth embracing.

He must love me, i thought, amazed. A faint whiff of nausea hit me at seeing pain as proof of love, but it seemed true. Unavoidable.

317 is a prime, not because we think so, or because our minds are shaped in one way rather than another, but because it is, because mathematical reality is built that way.

We cannot go into court with merely suspicions; we must get facts.

A mathematical proof should resemble a simple and clear-cut constellation, not a scattered cluster in the Milky Way.

The proof is by reductio ad absurdum, and reductio ad absurdum, which Euclid loved so much, is one of a mathematician's finest weapons5. It is a far finer gambit than any chess gambit: a chess player may offer the sacrifice of a pawn or even a piece, but a mathematician offers the game.

We do not want many 'variations' in the proof of a mathematical theorem: 'enumeration of cases', indeed, is one of the duller forms of mathematical argument. A mathematical proof should resemble a simple and clear-cut constellation, not a scattered cluster in the Milky Way.

It is surely harmful to souls to make it a heresy to believe what is proved.

See now the power of truth; the same experiment which at first glance seemed to show one thing, when more carefully examined, assures us of the contrary.

Acceptance without proof is the fundamental characteristic of Western religion, rejection without proof is the fundamental characteristic of Western science.

I believe you need scientific proof that something works before you entrust your health to it.

I should have been shocked to see her. But I wasn't. After all, I'd thought, believed, that my mother was dead. I'd wanted her to be dead. And it was very much like my mother to be alive just to show me that what I had thought, believed, wanted, was wrong. "If you desperately want something," my mother wrote in her famous book, "then that is surely proof that you don't deserve to get what you want.

Catholic Church is an institution I am bound to hold divine – but for unbelievers a proof of its divinity might be found in the fact that no merely human institution conducted with such knavish imbecility would have lasted a fortnight

Come— the proof of battle is action, proof of words, debate. No time for speeches now, it's time to fight.

But now, since you have given me accurate proof describing our bed, which no other mortal man beside has ever seen, but only you and I, and there is one serving woman, Aktor's daughter, whom my father gave me when I came here, who used to guard the doors for us in our well-built chamber; 230 so you persuade my heart, though it has been very stubborn.

The flames had passed over those flattened blades and consumed their heather neighbours on either side while they themselves had remained, made proof against the blaze and guaranteed their stark survival just by their earlier oppression.

Shooting hell out of a piece of cardboard doesn't prove anything' was his single-line introduction to the Small-arms Defence Manual.

We are involved in youth testing internationally. We want to try to prove without a shadow of a doubt the relationship between physical fitness and health, not just physical fitness and ability to perform.

Missionary zeal does not grow out of intellectual beliefs, nor out of theological arguments, but out of love. If I do not love a person I am not moved to help him by proofs that he is in need; if I do love him, I wait for no proof of a special need to urge me to help him.

Generally, there are three rules when it comes to borrowing money: You need to have good credit, proof of income and cash for a down payment. Most people have the first two, but it's the third that trips them up. And nowhere does that come into play more than the mortgage market.

The blockchain does one thing: It replaces third-party trust with mathematical proof that something happened.

There are a lot of people who don't trust in me, so I just try to make them wrong.

No one has proof that I know of, that a higher power exists, yet a major portion of the world believes in it and relies on it in faith in trust, in what that is. Where is the science in that? And yet you have incredible belief in that.

I don't believe it. Prove it to me and I still won't believe it.