"The best of ideas is hurt by uncritical……" — George Polya
"The best of ideas is hurt by uncritical acceptance and thrives on critical examination."
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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…
See all 47 quotes by George Polya »
More Acceptance Quotes
This quote is filed under Acceptance Quotes,
one of 2,150 quotes in that category. Here are a few more:
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It is the mark of an educated mind to be able to entertain a thought without accepting it.
— Aristotle
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Accept the things to which fate binds you, and love the people with whom fate brings you together, but do…
— Marcus Aurelius
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Confine yourself to the present.
— Marcus Aurelius
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He that will not apply new remedies must expect new evils; for time is the greatest innovator.
— Francis Bacon
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And as I stumbled onto Eastern philosophy and Buddhism, it was the first time I had ever read any sort…
— Alan Ball
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Nothing is a greater impediment to being on good terms with others than being ill at ease with yourself.
— Honore de Balzac
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The antiquity and general acceptance of an opinion is not assurance of its truth.
— Pierre Bayle
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Gratitude unlocks the fullness of life. It turns what we have into enough, and more. It turns denial into acceptance,…
— Melody Beattie
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To make oneself an object, to make oneself passive, is a very different thing from being a passive object.
— Simone de Beauvoir
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It's not only the most difficult thing to know one's self, but the most inconvenient.
— Josh Billings
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I've probably understood men too well. I realise they are predatory by nature, and I have a certain acceptance of…
— Jacqueline Bisset
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It is on the acceptance or rejection of the theory of the Unity of all in Nature, in its ultimate…
— H. P. Blavatsky
See all 2,150 Acceptance Quotes »