Proof Quotes - Page 28

• 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.

  Gerolamo Cardano

  Causes, Facts, May

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• 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?

  Paul Halmos

  Fighting, Example, Doe

  "I Want to be a Mathematician: An Automathography". Book by Paul Halmos, 1985.

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• 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.

  G. H. Hardy

  Sorry, Sorrow, Would Be

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• 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.

  Charles Proteus Steinmetz

  New York, Science, Men

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• 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.

  Richard Askey

  Education, Math, Skills

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• 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

  Samuel Johnson

  Lying, Please Me, True Or False

  Samuel Johnson (1836). “Johnsoniana: Or, Supplement to Boswell: Being Anecdotes and Sayings of Dr. Johnson”, p.58

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• 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.

  Clay Shirky

  Burden Of Proof, Bills, Thieves

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• Suffering ignites the spark of contact with the sublime and offers proof of humanity.

  Lydia Millet

  Grief, Humanity, Sublime

  Lydia Millet (2005). “Oh Pure and Radiant Heart”, p.214, Soft Skull Press

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• 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.

  Eugen Rosenstock-Huessy

  Religious, Children, Giving Up

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• That is the essence of a witch-hunt, that any questioning of the evidence or the procedures in itself constitutes proof of complicity.

  Bergen Evans

  Essence, Witch, Procedures

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• 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.

  George Harrison

  Believe, Play, Meditation

  "Kṛṣṇa, the Supreme Personality of Godhead". Book by A. C. Bhaktivedanta Swami Prabhupada, 1970.

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• 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.

  Walther von Brauchitsch

  Mean, Men, People

  "Trial of the Major War Criminals Before the International Military Tribunal", Nuremberg, Germany, (p. 203), 1947.

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• 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.

  Josh James

  Laughter, Forever, Tragedy

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• 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.

  Abel Ferrara

  I Don't Need You, Watches, Needs

  "Biography/ Personal Quotes". www.imdb.com.

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• 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.

  Francis Pharcellus Church

  Children, Real, Men

  "Is There a Santa Claus?". The New York Sun, en.wikisource.org. September 21, 1897.

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• 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

  Craig Kielburger

  Mother, Yes We Can, Differences

  Craig Kielburger (2010). “Free The Children”, p.64, Greystone Books

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• It is good to keep in mind ... that nobody has ever succeeded in producing even one new species by the accumulation of micromutations. Darwin's theory of natural selection has never had any proof, yet it has been universally accepted.

  Richard Goldschmidt

  Mind, Accepted, Natural

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• A god or revelation capable of proof or rational verification by an autonomous man would be worthless.

  Greg L. Bahnsen

  Men, Would Be, Revelations

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• There is no scientific proof that only scientific proofs are good proofs; no way to prove by the scientific method that the scientific method is the only valid method.

  Peter Kreeft

  Religion, Scientific Method, Way

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• How much more proof does anyone need to see to know that there is more to GAIN from loving each other and being good to all people -- than from hating and envying each other? When we continue to hate, we continue to LOSE. When we amplify mutual respect and LOVE, we have a lot to gain! Quite simply, there is more to gain through love than hate.

  Suzy Kassem

  Hate, People, And Love

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• The Resurrection is the supreme vindication of Jesus' divine identity and his inspired teaching. It's the proof of his triumph over sin and death. It's the foreshadowing of the resurrection of his followers. It's the basis of Christian hope. It's the miracle of all miracles.

  Lee Strobel

  Christian, Jesus, Teaching

  Lee Strobel (2010). “Case for Christ: A Journalists Personal Investigation of the Evidence for Jesus (Large Print 16pt)”, p.306, ReadHowYouWant.com

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• (Reply on what constitutes scientific proof:)"The question is much too difficult for me.

  Albert Einstein

  Dark, Age, Medical

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• It wouild 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.' John Horgan.

  Ronald Graham

  Understanding, Lines, Able

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• It's completely idiot proof." I told them they've got it all wrong. I want a machine that is "idiot friendly.

  William Weld

  Gambling, Friendly, Machines

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• Geometry enlightens the intellect and sets one's mind right. All of its proofs are very clear and orderly. It is hardly possible for errors to enter into geometrical reasoning, because it is well arranged and orderly. Thus, the mind that constantly applies itself to geometry is not likely to fall into error. In this convenient way, the person who knows geometry acquires intelligence.

  Ibn Khaldun

  Fall, Math, Errors

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