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Proof Quotes

“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.”

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Author:Ibn Khaldun
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“What do you mean by faith? Is faith enough for Man? Should he be satisfied with faith alone? Is there no way of finding out the truth? Is the attitude of faith, of believing in something for which there can be no more than philosophic proof, the true mark of a Christian?”

MenWayShouldBelieveMeanEnoughChristianAttitudeTruth IsFindingsMarkProofSatisfiedPhilosophicFinding Out The TruthBelieving In Something
Book:Time Is the Simplest Thing
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“Let's say a startup is hot. It ships something great, and it achieves success. Thus, it's able to attract the best, brightest, and most talented. These people have been told they're the best since childhood. Indeed, being hired by the hot company is "proof" that they are the A and A+ players; in fact, the company is so hot that it can out-recruit Google and Microsoft.”

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Author:Guy Kawasaki
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“SOCRATES: Perhaps we may be wrong; if so, you in your wisdom should convince us that we are mistaken in preferring justice to injustice. THRASYMACHUS: And how am I to convince you, he said, if you are not already convinced by what I have just said; what more can I do for you? Would you have me put the proof bodily into your souls?”

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Book:Republic. Timaeus. Critias
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“It's clear that when we're this outnumbered by the creatures, we have to take a page from the British Empire and rule the lesser species through intimidation. That's why the single most important thing you can do as a human is to dominate an animal. Need more proof?Rule over the fish of the sea and the birds of the air and over every living creature that moves on the ground. I'd say that about covers it.”

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Author:Stephen Colbert
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“Everyone is free to set up an opinion and to adduce proofs in support of it. Whether, though, a scientist shall find it worth his while to enter into serious investigations of opinions so advanced is a question which his reason and instinct alone can decide. If these things, in the end, should turn out to be true, I shall not be ashamed of being the last to believe them.”

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Book:The Science of Mechanics: A Critical and Historical Exposition of Its Principles
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“Her professors were astonished by her leaps of thought, by the finesse and elegance of her insights. She arrived at hypotheses by sheer intuition and with what eventually one of her mentors described as an almost alarming speed; she was like a dancer, he said, out in the cosmos springing weightlessly from star to star. Drones, merely brilliant, crawled along behind with laborious proofs that supported her assertions.”

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Book:Twilight of the Superheroes
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“If theory is the role of the architect, then such beautiful proofs are the role of the craftsman. Of course, as with the great renaissance artists, such roles are not mutually exclusive. A great cathedral has both structural impressiveness and delicate detail. A great mathematical theory should similarly be beautiful on both large and small scales.”

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Author:Michael Atiyah
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“The Besicovitch style is architectural. He builds out of simply elements a delicate and complicated architectural structure, usually with a hierarchical plan, and then, when the building is finished, the completed structure leads by simple arguments to an unexpected conclusion. Every Besicovitch proof is a work of art, as carefully constructed as a Bach fugue.”

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Author:Freeman Dyson
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“If the finding of Coines, Medals, Urnes, and other Monuments of famous Persons, or Towns, or Utensils, be admitted for unquestionable Proofs, that such Persons or things have, in former Times, had a being, certainly those Petrifactions may be allowed to be of equal Validity and Evidence, that there have been formerly such Vegetables or Animals. These are truly Authentick Antiquity not to be counterfeited, the Stamps, and Impressions, and Characters of Nature that are beyond the Reach and Power of Humane Wit and Invention, and are true universal Characters legible to all rational Men.”

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Author:Robert Hooke
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“In the "commentatio" (note presented to the Russian Academy) in which his theorem on polyhedra (on the number of faces, edges and vertices) was first published Euler gives no proof. In place of a proof, he offers an inductive argument: he verifies the relation in a variety of special cases. There is little doubt that he also discovered the theorem, as many of his other results, inductively.”

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Author:George Polya
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“Morphlabs is excited about the OpenStack release of Essex. We believe that this release positions OpenStack to become the foundation for next generation dynamic cloud infrastructure. We are building a fully-converged private platform around Essex, leveraging best-of-breed cloud building blocks to deliver a high-performance, flexible solution. This release marks a major a proof point of OpenStack’s commitment to open community development and pluggable APIs, which benefits the entire cloud ecosystem.”

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Author:Winston Damarillo
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“So how do theists respond to arguments like this? [The Argument from Evil] They say there is a reason for evil, but it is a mystery. Well, let me tell you this: I'm actually one hundred feet tall even though I only appear to be six feet tall. You ask me for proof of this. I have a simple answer: it's a mystery. Just accept my word for it on faith. And that's just the logic theists use in their discussions of evil.”

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Author:Quentin Smith
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“A human group transforms itself into a crowd when it suddenly responds to a suggestion rather than to reasoning, to an image rather than to an idea, to an affirmation rather than to proof, to the repetition of a phrase rather than to arguments, to prestige rather than to competence.”

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Book:The Flight from Truth: The Reign of Deceit in the Age of Information
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“The unique impression of Jesus upon mankind - whose name is not so much written as ploughed into the history of the world - is proof of the subtle virtue of this infusion. Jesus belonged to the race of prophets. He saw with open eyes the mystery of the soul. One man was true to what is in you and me. He, as I think, is the only soul in history who has appreciated the worth of man.”

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Author:Ralph Waldo Emerson
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