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Deductive Quotes by George Polya
1 Deductive quote by George Polya
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George Polya has 47 quotes on this site. A few more worth reading:
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If you have to prove a theorem, do not rush. First of all, understand fully what the theorem says, try to see…
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The elegance of a mathematical theorem is directly proportional to the number of independent ideas one can see in the theorem and…
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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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Quite often, when an idea that could be helpful presents itself, we do not appreciate it, for it is so inconspicuous. The…
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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…
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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…
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Mathematics is the cheapest science. Unlike physics or chemistry, it does not require any expensive equipment. All one needs for mathematics is…
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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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Popular Deductive quotes from across the collection:
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Mathematics is not a deductive science-that's a cliché. When you try to prove a theorem, you don't just list the hypotheses, and…
— Paul Halmos
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The intellectual equipment needed for the job of the future is an ability to define problems, quickly assimilate relevant data, conceptualize and…
— Robert Reich
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Mathematics is not a deductive science, that's a cliché ... What you do is trial and error, experimentation, guesswork.
— Paul Halmos
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Now this foreknowledge cannot be elicited from spirits; it cannot be obtained inductively from experience, nor by any deductive calculation.
— Sun Tzu
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Without deductive logic science would be entirely useless. It is merely a barren game to ascend from the particular to the general,…
— Alfred North Whitehead
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...it is absurd to try to confine our knowledge and belief to matters which are conclusively established by sound deductive arguments. The…
— J. L. Mackie
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Whoever builds his faith exclusively on demonstrative proofs and deductive arguments, builds a faith on which it is impossible to rely. For…
— Ibn Arabi
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Facts - behind them lies the whole fabric of deductive truth.
— Peter Sellers
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