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Math Quotes

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Math Quotes

“If you have to prove a theorem, do not rush. First of all, understand fully what the theorem says, try to see clearly what it means. Then check the theorem; it could be false. Examine the consequences, verify as many particular instances as are needed to convince yourself of the truth. When you have satisfied yourself that the theorem is true, you can start proving it.”

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Author:George Polya
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“Standard mathematics has recently been rendered obsolete by the discovery that for years we have been writing the numeral five backward. This has led to reevaluation of counting as a method of getting from one to ten. Students are taught advanced concepts of Boolean algebra, and formerly unsolvable equations are dealt with by threats of reprisals.”

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Book:The Insanity Defense: The Complete Prose
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“I believe that mathematical reality lies outside us, that our function is to discover or observe it, and that the theorems which we prove, and which we describe grandiloquently as our "creations," are simply the notes of our observations.”

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Book:A Mathematician's Apology
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“Reductio ad absurdum, which Euclid loved so much, is one of a mathematician's finest weapons. It is a far finer gambit than any chess play: a chess player may offer the sacrifice of a pawn or even a piece, but a mathematician offers the game.”

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Book:A Mathematician's Apology
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“The mathematician's patterns, like the painter's or the poet's must be beautiful; the ideas, like the colours or the words must fit together in a harmonious way. Beauty is the first test: there is no permanent place in the world for ugly mathematics.”

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Author:G. H. Hardy
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“We could use up two Eternities in learning all that is to be learned about our own world and the thousands of nations that have arisen and flourished and vanished from it. Mathematics alone would occupy me eight million years.”

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Book:Delphi Complete Works of Mark Twain (Illustrated)
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“My two Jamaican cousins ... were studying engineering. 'That's where the money is,' Mom advised. ... I was to be an engineering major, despite my allergy to science and math. ... Those who preceded me at CCNY include the polio vaccine discoverer, Dr. Jonas Salk ... and eight Nobel Prize winners. ... In class, I stumbled through math, fumbled through physics, and did reasonably well in, and even enjoyed, geology. All I ever looked forward to was ROTC. Autobiographical comments on his original reason for going to the City College of New York, where he shortly turned to his military career.”

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Author:Colin Powell
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“Mathematics is not a deductive science - that's a cliché. When you try to prove a theorem, you don't just list the hypotheses, and then start to reason. What you do is trial and error, experimentation, guesswork.”

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Author:Paul Halmos
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“The most distinctive characteristic which differentiates mathematics from the various branches of empirical science, and which accounts for its fame as the queen of the sciences, is no doubt the peculiar certainty and necessity of its results.”

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Book:The Philosophy of Carl G. Hempel: Studies in Science, Explanation, and Rationality
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“The study of infinity is much more than a dry academic game. The intellectual pursuit of the absolute infinity is, as Georg Cantor realized, a form of the soul's quest for God. Whether or not the goal is ever reached, an awareness of the process brings enlightenment.”

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Book:Infinity and the Mind: The Science and Philosophy of the Infinite
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