You made a point about proof. In this sort of history we do nt have proof... Yet... the incontrovertibility of the evidence can be plain even when it is not documentary or complete.
Scientists have no proof that life was not the result of an act of creation.
There is abundant proof that the opening of our ports always tends to raise the price of foreign corn to the price in the English market, and not to sink the price of British corn to the price in the continental market.
I don't need proof, I have faith.
Few human beings are proof against the implied flattery of rapt attention.
A mathematician's reputation rests on the number of bad proofs he has given.
Only professional mathematicians learn anything from proofs. Other people learn from explanations.
Proof is an idol before which the mathematician tortures himself.
A math lecture without a proof is like a movie without a love scene. This talk has two proofs.
Mathematics, however, is, as it were, its own explanation; this, although it may seem hard to accept, is nevertheless true, for the recognition that a fact is so is the cause upon which we base the proof.
Don't just read it; fight it! Ask your own question, look for your own examples, discover your own proofs. Is the hypothesis necessary? Is the converse true? ... Where does the proof use the hypothesis?
If I could prove by logic that you would die in five minutes, I should be sorry you were going to die, but my sorrow would be very much mitigated by pleasure in the proof.
Mathematics is the most exact science, and its conclusions are capable of absolute proof. But this is so only because mathematics does not attempt to draw absolute conclusions. All mathematical truths are relative, conditional. In E. T. Bell Men of Mathematics, New York: Simona and Schuster, 1937.
Like a stool which needs three legs to be stable, mathematics education needs three components: good problems, with many of them being multi-step ones, a lot of technical skill, and then a broader view which contains the abstract nature of mathematics and proofs. One does not get all of these at once, but a good mathematics program has them as goals and makes incremental steps toward them at all levels.
What signifies protesting so against flattery when a person speaks well of one, it must either be true or false, you know if true, let us rejoice in his good opinion if he lies, it is a proof at least that he loves more to please me, than to sit s
The threat [of the U.S. bills SOPA and PIPA] is the inversion of the burden of proof, where we suddenly are all treated like thieves at every moment we're given the freedom to create, to produce or to share.
Suffering ignites the spark of contact with the sublime and offers proof of humanity.
On the Russian revolutionaries:To leave your parents, faithful and loyal subjects of the Emperor, to leave your profession, to desist from having children, to lose your fortune, and to give up your civil honor, all for revolutionary conviction, makes for a league of more practical proof than any religious order.
That is the essence of a witch-hunt, that any questioning of the evidence or the procedures in itself constitutes proof of complicity.
If there's a God, I want to see Him. It's pointless to believe in something without proof, and Krishna consciousness and meditation are methods where you can actually obtain God perception. In that way you can see, hear and play with God. Perhaps this may sound weird, but God is really there next to you.
Hitler is still such a popular man; we are afraid of the Hitler myth. We want to give to the German people and to the world the final proof by means of the Supreme Court-Martial and its verdict.
Laughter is the evidence that we're still here, the proof that our tragedies will not define us forever. Laughter is the language of the survivor.
My life is proof that I don't need you to do what I do. If there's no one to see it, I'll watch it.
The most real things in the world are those that neither children nor men can see. Did you ever see fairies dancing on the lawn? Of course not, but that’s no proof that they are not there. Nobody can conceive or imagine all the wonders there are unseen and unseeable in the world.
I feel strongly that Mother Teresa’s life has a great message for young people. We so often feel powerless to do anything about the many problems in the world around us. We are so often left to wonder whether one person can possibly make a difference. Mother Teresa said yes, we can. Her life was resounding proof that it is possible
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