"Where should I start? Start from the statement……" — George Polya
"Where should I start? Start from the statement of the problem. ... What can I do? Visualize the problem as a whole as clearly and as vividly as you can. ... What can I gain by doing so? You should understand the problem, familiarize yourself with it, impress its purpose on your mind."
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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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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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The future mathematician ... should solve problems, choose the problems which are in his line, meditate upon their solution, and…
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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…
See all 47 quotes by George Polya »
More Clearly Quotes
This quote is filed under Clearly Quotes,
one of 2,192 quotes in that category. Here are a few more:
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It is clearly better that property should be private, but the use of it common; and the special business of…
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I think, as a general matter, clearly, the United States globally supports the development of democracy and the democratic yearnings…
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The values of Islam are expressed by Muslims clearly. September 11 changed the world, and put Muslims on the spotlight.
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People talk about doom-laden scenarios happening in the future: they are happening in Africa now. You can see it perfectly…
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I have often thought with wonder of the great goodness of God; and my soul has rejoiced in the contemplation…
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I was living an extremely burdensome life, because every time I prayed, I became more clearly aware of my faults.…
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Few expected very much of Franklin Roosevelt on Inauguration Day in 1933. Like Barack Obama seventy-six years later, he was…
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Letter writing was clearly important to Reagan. Even as president he kept dashing off letters to friends, pen pals, media…
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Barack Obama is clearly a smart guy, talented.
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I like facts and data because they help me think clearly, beyond the cultural messages that I ingest unwittingly, and…
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President Obama has tried to spin the paltry new job creation numbers as 'a step in the right direction.' But,…
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