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George Polya has 47 quotes on this site. A few more worth reading:

• Quite often, when an idea that could be helpful presents itself, we do not appreciate it, for it is so inconspicuous. The…
• The world is anxious to admire that apex and culmination of modern mathematics: a theorem so perfectly general that no particular application…
• The elegance of a mathematical theorem is directly proportional to the number of independent ideas one can see in the theorem and…
• The first rule of discovery is to have brains and good luck. The second rule of discovery is to sit tight and…
• Mathematics is the cheapest science. Unlike physics or chemistry, it does not require any expensive equipment. All one needs for mathematics is…
• When introduced at the wrong time or place, good logic may be the worst enemy of good teaching.
• Where should I start? Start from the statement of the problem. ... What can I do? Visualize the problem as a whole…
• If you have to prove a theorem, do not rush. First of all, understand fully what the theorem says, try to see…
• A great discovery solves a great problem, but there is a grain of discovery in the solution of any problem. Your problem…
• Look around when you have got your first mushroom or made your first discovery: they grow in clusters.
• The future mathematician ... should solve problems, choose the problems which are in his line, meditate upon their solution, and invent new…
• If the proof starts from axioms, distinguishes several cases, and takes thirteen lines in the text book ... it may give the…

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