Experiments Quote by 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.”

George Polya

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More by George Polya

Pedantry and mastery are opposite attitudes toward rules. To apply a rule to the letter, rigidly, unquestioningly, in cases where it fits and in…

George Polya

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A GREAT discovery solves a great problem but there is a grain of discovery in any problem.

George Polya

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In order to translate a sentence from English into French two things are necessary. First, we must understand thoroughly the English sentence. Second, we…

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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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Beauty in mathematics is seeing the truth without effort.

George Polya

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I am too good for philosophy and not good enough for physics. Mathematics is in between.

George Polya

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Solving problems is a practical art, like swimming, or skiing, or playing the piano: you can learn it only by imitation and practice.

George Polya

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An idea which can be used only once is a trick. If one can use it more than once it becomes a method.

George Polya

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To teach effectively a teacher must develop a feeling for his subject; he cannot make his students sense its vitality if he does not…

George Polya

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The world is anxious to admire that apex and culmination of modern mathematics: a theorem so perfectly general that no particular application of it…

George Polya

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The first rule of discovery is to have brains and good luck. The second rule of discovery is to sit tight and wait till…

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Hilbert once had a student in mathematics who stopped coming to his lectures, and he was finally told the young man had gone off…

George Polya

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When I paint, I never think of selling. People simply fail to understand that we paint in order to experiment and to develop ourselves…

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Once, as an experiment, I travelled around the world with a single suit. Before I left, I went to a tailor in Savile Row…

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Biochemists and biologists who adhere blindly to the Darwinism theory search for results that will be in agreement with their theories and consequently orient…

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When people are suicidal, their thinking is paralyzed, their options appear spare or nonexistent, their mood is despairing, and hopelessness permeates their entire mental…

Kay Redfield Jamison