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Quote by George Polya

“The elegance of a mathematical theorem is directly proportional to the number of independent ideas one can see in the theorem and inversely proportional to the effort it takes to see them.”

Quote by George Polya

Author

George Polya
George Polya

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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“The fundamental idea of these pylons, or great archways, is based on a method of construction peculiar to me, of which the principle consists in giving to the edges of the pyramid a curve of such a nature that this pyramid shall be capable of resisting the force of the wind without necessitating the junction of the edges by diagonals as is usually done.”

“The history of science, like the history of all human ideas, is a history of irresponsible dreams, of obstinacy, and of error. But science is one of the very few human activities-perhaps the only one-in which errors are systematically criticized and fairly often, in time, corrected. This is why we can say that, in science, we often learn from our mistakes, and why we can speak clearly and sensibly about making progress there. In most other fields of human endeavour there is change, but rarely progress ... And in most fields we do not even know how to evaluate change.”

“The members of the department became like the Athenians who, according to the Apostle Paul, "spent their time in nothing else, but either to tell or to hear some new thing." Anyone who thought he had a bright idea rushed out to try it out on a colleague. Groups of two or more could be seen every day in offices, before blackboards or even in corridors, arguing vehemently about these 'brain storms.' It is doubtful whether any paper ever emerged for publication that had not run the gauntlet of such criticism. The whole department thus became far greater than the sum of its individual members.”

“The scientific value of truth is not, however, ultimate or absolute. It rests partly on practical, partly on aesthetic interests. As our ideas are gradually brought into conformity with the facts by the painful process of selection,-for intuition runs equally into truth and into error, and can settle nothing if not controlled by experience,-we gain vastly in our command over our environment. This is the fundamental value of natural science”