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Quote by George Polya

“Euclid 's manner of exposition, progressing relentlessly from the data to the unknown and from the hypothesis to the conclusion, is perfect for checking the argument in detail but far from being perfect for making understandable the main line of the argument.”

Quote by George Polya

Book:How to solve it: a new aspect of mathematical method

Work

How to solve it: a new aspect of mathematical method

This book offers a systematic approach to problem-solving, emphasizing the importance of understanding the nature of problems and applying appropriate mathematical techniques. It provides a framework for analyzing and solving mathematical problems effectively. more

Author

George Polya was a renowned mathematician known for his contributions to combinatorics, graph theory, and mathematics education. His research emphasized intuition and heuristic methods, which have had a profound impact on mathematicians and educators of later generations. more

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“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....”

Ifs Writing May Book Purpose Speak Steps Reader Argument Sufficient Listeners Inaccessible Blackboard

Author:George Polya

“The cookbook gives a detailed description of ingredients and procedures but no proofs for its prescriptions or reasons for its recipes; the proof of the pudding is in the eating. ... Mathematics cannot be tested in exactly the same manner as a pudding; if all sorts of reasoning are debarred, a course of calculus may easily become an incoherent inventory of indigestible information.”

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Author:George Polya

“An ideology critique that does not clearly accept its identity as satire can, however, easily be transformed from an instrument in the search for truth into one of dogmatism. All too often, it interferes with the capacity for dialogue instead of opening up new paths for it.”

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Author:Peter Sloterdijk

“I feel that I was made to complete things. To accomplish only a mass of beginnings and attempts would be to make a total failure of life. Perfection is the heritage with which my Creator has endowed me, and since this short life does not give completeness, I must have immortal life in which to find it.”

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Book:Beyond the Grave: Being Three Lectures Before Chautauqua Assembly in 1878, with Papers on Recognition in the Future State, and Other Addenda

Source: Beyond the Grave: Being Three Lectures Before Chautauqua Assembly in 1878, with Papers on Recognition in the Future State, and Other Addenda

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Author:Randolph Sinks Foster

“Earthly providence is a travesty of justice on any other theory than that it is a preliminary stage, which is to be followed by rectifications. Either there must be a future, or consummate injustice sits upon the throne of the universe. This is the verdict of humanity in all the ages.”

Age Humanity Universe Justice Stage Theory Injustice Immortality Providence Thrones Verdict Travesty Rectification

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“Death must obliterate all memories and affections and ideas and laws, or the awakening in the next world will be amid the welcomes, and loves and raptures of those who left us with tearful farewells, and with dying promises that they would wait to welcomes us when we should arrive. And so they do. Not sorrowfully, not anxiously, but lovingly, they wait to bid us welcome.”

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“Man is immortal till his work is done.”

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Book:Ethandune and Other Poems

Source: Ethandune and Other Poems

“Marketing is a contest for people's attention.”

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Author:Gretchen Rubin