"In order to translate a sentence from English……" — George Polya
"In order to translate a sentence from English into French two things are necessary. First, we must understand thoroughly the English sentence. Second, we must be familiar with the forms of expression peculiar to the French language. The situation is very similar when we attempt to express in mathematical symbols a condition proposed in words. First, we must understand thoroughly the condition. Second, we must be familiar with the forms of mathematical expression."
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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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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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More Attempt Quotes
This quote is filed under Attempt Quotes,
one of 1,586 quotes in that category. Here are a few more:
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Fashion is only the attempt to realize art in living forms and social intercourse.
— Francis Bacon
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I don't watch the movies I make, so I haven't seen 'Footloose' since it came out. You see this young,…
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I will always find even the worst paintings that attempt some kind of representation better than the best invented paintings.
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Events that are predestined require but little management. They manage themselves. They slip into place while we sleep, and suddenly…
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The administration's attempt to keep us from selling agricultural products to Cuba is an outrage. Cuba is not a threat.…
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Art is an attempt to integrate evil.
— Simone de Beauvoir
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I find a lot of things kind of funny and I often say what's on my mind, and then get…
— Kate Beckinsale
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A drawing is an autobiographical record of one's discovery of an event - either seen, remembered or imagined. A 'finished'…
— John Berger
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Every therapeutic cure, and still more, any awkward attempt to show the patient the truth, tears him from the cradle…
— Alfred Adler
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If conservationists will attempt to resume responsibility for their need to eat, they will be led back fairly directly to…
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Dialectic thought is an attempt to break through the coercion of logic by its own means.
— Theodor Adorno
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Whatever you may think of the proposed mosque and community center, lost in the heat of the debate has been…
— Michael Bloomberg
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