Proof Quotes - Page 21

• 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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• It is my experience that proofs involving matrices can be shortened by 50% if one throws the matrices out.

  Emil Artin

  Mathematics, Mathematical, Involving

  Emil Artin (2016). “Geometric Algebra”, p.14, Courier Dover Publications

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• In the broad light of day mathematicians check their equations and their proofs, leaving no stone unturned in their search for rigour. But, at night, under the full moon, they dream, they float among the stars and wonder at the miracle of the heavens. They are inspired. Without dreams there is no art, no mathematics, no life.

  Michael Atiyah

  Inspirational, Life, Dream

  Michael Atiyah (2014). “Michael Atiyah Collected Works: 2002-2013”, p.267, Oxford University Press, USA

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• A felicitous but unproved conjecture may be of much more consequence for mathematics than the proof of many a respectable theorem.

  Atle Selberg

  May, Mathematics, Conjecture

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• The proof of a high education is the ability to speak about complex matters as simply as possible.

  Ralph Waldo Emerson

  Learning, Matter, Speak

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• Incidentally, when we're faced with a "prove or disprove," we're usually better off trying first to disprove with a counterexample, for two reasons: A disproof is potentially easier (we need just one counterexample); and nitpicking arouses our creative juices. Even if the given assertion is true, our search for a counterexample often leads to a proof, as soon as we see why a counterexample is impossible. Besides, it's healthy to be skeptical.

  Ronald Graham

  Learning, Creative Juices, Two

  Ronald L. Graham, Donald Ervin Knuth, Oren Patashnik (1989). “Concrete mathematics: a foundation for computer science”, Addison Wesley Publishing Company

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• Upon the solution of this problem, or upon sufficient proof of the impossibility of synthetical knowledge a priori, depends the existence or downfall of metaphysics.

  Immanuel Kant

  Words Of Wisdom, Problem, Existence

  Immanuel Kant (2016). “Delphi Collected Works of Immanuel Kant (Illustrated)”, p.290, Delphi Classics

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• Raise the roof, that I might see the stars
  To gain wisdom, to see things for what they are
  Please, I need proof

  Barry Privett

  Stars, Words Of Wisdom, Needs

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• The "ego" like its correlative "non-ego", is the product of the body, mind etc. The only proof of the existence of the real Self is realisation.

  Swami Vivekananda

  Real, Self, Ego

  Swami Vivekananda (2015). “The Complete Works of Swami Vivekananda”, p.2282, Manonmani Publishers

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• The nut of this tree is hung high aloft, wrapped in a silk wrapper, which is enclosed in a case of sole leather, which again is packed in a mass of shock absorbing, vermin proof pulp, sealed up in a waterproof, ironwood case, and finally cased in a vegetable porcupine of spines, almost impregnable. There is no nut so protected; there is no nut in our woods to compare with it as food. What is a Chesnut?

  Luis de Camoes

  Vegetables, Nuts, Tree

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• It is a lot easier to prove that you don't love someone than it is to prove that you do, but one of the best 'proofs' I know is the desire to devote time to the person with no expectation of any sort of compensation, including gratitude, in return.

  Marilyn vos Savant

  Love, Gratitude, Expectations

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• The greatest proof of Christianity for others is not how far a man can logically analyze his reasons for believing, but how far in practice he will stake his life on his belief.

  T. S. Eliot

  Christian, Prayer, Believe

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• The unity of the Bible is one of the wonderful proofs of the inspiration of God's Word- that all Scripture is given by inspiration of God.

  Adrian Rogers

  Inspiration, Unity, Scripture

  Adrian Rogers, Steve Rogers (2012). “What Every Christian Ought to Know”, p.19, B&H Publishing Group

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• If there is any one proof of a man's incompetence, it is the stagnant mentality of a worker who, doing some small routine job in a vast undertaking, does not care to look beyond the lever of a machine, does not choose to know how the machine got there or what makes his job possible, and proclaims that the management of the undertaking is parasitical and unnecessary.

  Ayn Rand

  Jobs, Men, Care

  Ayn Rand (1999). “The Return of the Primitive: The Anti-Industrial Revolution”, p.35, Penguin

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• The first proof of a well-ordered mind is to be able to pause and linger within itself.

  Seneca the Younger

  Wise, Mind, Able

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• We are not very pleased when we are forced to accept a mathematical truth by virtue of a complicated chain of formal conclusions and computations, which we traverse blindly, link by link, feeling our way by touch. We want first an overview of the aim and of the road; we want to understand the idea of the proof, the deeper context.

  Hermann Weyl

  Truth, Math, Ideas

  Hermann Weyl (2013). “Levels of Infinity: Selected Writings on Mathematics and Philosophy”, p.33, Courier Corporation

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• IN THE ART OF PEACE we never attack. An attack is proof that one is out of control. Never run away from any challenge, but do not try to suppress or control an opponent unnaturally.. Let attackers come any way they like, and then blend with them. Never chase after opponents. Redirect each attack and get firmly behind it.

  Morihei Ueshiba

  Running, Art, Challenges

  Morihei Ueshiba, John Stevens (2010). “The Art of Peace”, p.147, Shambhala Publications

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• Everybody understood that if the proof is correct then no other recognition is needed.

  Grigori Perelman

  Recognition, Needed, Understood

  "Manifold Destiny". Interview with Sylvia Nasar and David Gruber, www.newyorker.com. August 28, 2006.

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• The security provided by a long-held belief system, even when poorly founded, is a strong impediment to progress. General acceptance of a practice becomes the proof of its validity, though it lacks all other merit.

  Bernard Lown

  Strong, Acceptance, Science

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• An argument frequently used by believers [is] to force unbelievers to soften their terms by accepting their opponents' definition; "Atheist" means without a concept of God that is logically convincing, not with proof that God does not exist.

  Jim Herrick

  Atheist, Mean, Doe

  Jim Herrick (1985). “Against the Faith: Essays on Deists, Skeptics, and Atheists”

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• If the people of this religion [Islam] are asked about the proof for the soundness of their religion, they flare up, get angry and spill the blood of whoever confronts them with this question. They forbid rational speculation, and strive to kill their adversaries. This is why truth became thoroughly silenced and concealed.

  Muhammad ibn Abu Bakr

  Flare Up, Blood, People

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• Never preach a sermon without a text from the Bible, a text containing the theme which you can elaborate. The text is the best proof in support of your argument. A sermon without a text is an argument without a proof.

  Isaac Mayer Wise

  Support, Argument, Theme

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• The great soul of power extends far beyond states, to every domain of life, from families to international affairs. And throughout, every form of authority and domination bears a severe burden of proof. It is not self-legitimizing. And when it cannot bear the burden, as is commonly the case, it should be dismantled.

  Noam Chomsky

  Self, Burden Of Proof, Soul

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• It is, from another angle, an attack on requiring proof in philosophy. And it's also the case, I guess, that my temperament is to like interesting, new, bold ideas, and to try and generate them.

  Robert Nozick

  Philosophy, Ideas, Interesting

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