"The future mathematician ... should solve problems, choose……" — George Polya
"The future mathematician ... should solve problems, choose the problems which are in his line, meditate upon their solution, and invent new problems. By this means, and by all other means, he should endeavor to make his first important discovery: he should discover his likes and dislikes, his taste, his own line."
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George Polya
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47 Quotes by George Polya
George Polya has 47 quotes on this site.
A few more worth reading:
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Quite often, when an idea that could be helpful presents itself, we do not appreciate it, for it is so…
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The world is anxious to admire that apex and culmination of modern mathematics: a theorem so perfectly general that no…
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The elegance of a mathematical theorem is directly proportional to the number of independent ideas one can see in the…
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The first rule of discovery is to have brains and good luck. The second rule of discovery is to sit…
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Mathematics is the cheapest science. Unlike physics or chemistry, it does not require any expensive equipment. All one needs for…
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When introduced at the wrong time or place, good logic may be the worst enemy of good teaching.
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Where should I start? Start from the statement of the problem. ... What can I do? Visualize the problem as…
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If you have to prove a theorem, do not rush. First of all, understand fully what the theorem says, try…
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A great discovery solves a great problem, but there is a grain of discovery in the solution of any problem.…
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Look around when you have got your first mushroom or made your first discovery: they grow in clusters.
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If the proof starts from axioms, distinguishes several cases, and takes thirteen lines in the text book ... it may…
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In order to translate a sentence from English into French two things are necessary. First, we must understand thoroughly the…
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More All Quotes
This quote is filed under All Quotes,
one of 128,558 quotes in that category. Here are a few more:
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Total loyalty is possible only when fidelity is emptied of all concrete content, from which changes of mind might naturally…
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No cause is left but the most ancient of all, the one, in fact, that from the beginning of our…
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The ultimate end of human acts is eudaimonia, happiness in the sense of living well, which all men desire; all…
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The new always happens against the overwhelming odds of statistical laws and their probability, which for all practical, everyday purposes…
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Where all are guilty, no one is; confessions of collective guilt are the best possible safeguard against the discovery of…
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We have almost succeeded in leveling all human activities to the common denominator of securing the necessities of life and…
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I keep my friends as misers do their treasure, because, of all the things granted us by wisdom, none is…
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We must all make peace so that we can all live in peace.
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The spirit of Ubuntu, that once led Haiti to emerge as the first independent black nation in 1804, helped Venezuela,…
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As we all know, many people remain buried under tons of rubble and debris, waiting to be rescued. When we…
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Wise people, even though all laws were abolished, would still lead the same life.
— Aristophanes
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A friend to all is a friend to none.
— Aristotle
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