George Polya Quotes About Purpose

Quotes about: Purpose

• Pedantry and mastery are opposite attitudes toward rules. To apply a rule to the letter, rigidly, unquestioningly, in cases where it fits and in cases where it does not fit, is pedantry. [...] To apply a rule with natural ease, with judgment, noticing the cases where it fits, and without ever letting the words of the rule obscure the purpose of the action or the opportunities of the situation, is mastery.

  George Polya

  Attitude, Opportunity, Opposites

  George Pólya (1945). “How to Solve it: A New Aspect of Mathematical Method”

• To write and speak correctly is certainly necessary; but it is not sufficient. A derivation correctly presented in the book or on the blackboard may be inaccessible and uninstructive, if the purpose of the successive steps is incomprehensible, if the reader or listener cannot understand how it was humanly possible to find such an argument....

  George Polya

  Book, Writing, Purpose

  "How to Solve It" by George Polya, Expanded Princeton Science Library Edition, (p. 207), 2004.

• 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

  Science, Understanding, Mind

  George Pólya (1957). “How to solve it: a new aspect of mathematical method”

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