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9780691080062: Patterns of Plausible Inference: Logic, Symbolic and mathematical

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Sinossi

A guide to the practical art of plausible reasoning, this book has relevance in every field of intellectual activity. Professor Polya, a world-famous mathematician from Stanford University, uses mathematics to show how hunches and guesses play an important part in even the most rigorously deductive science. He explains how solutions to problems can be guessed at; good guessing is often more important than rigorous deduction in finding correct solutions. Vol. II, onPatterns of Plausible Inference, attempts to develop a logic of plausibility. What makes some evidence stronger and some weaker? How does one seek evidence that will make a suspected truth more probable? These questions involve philosophy and psychology as well as mathematics.

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Recensione

"Polya . . . does a masterful job of showing just how plausible reasoning is used in mathematics. . . . The material in both volumes is fresh and highly original; the presentation is stimulating, informal, and occasionally humorous; examples from science, legal reasoning, and daily life make the arguments clear even to a nonspecialist. Polya's book is a rare event."--Morris Kline, Scientific American

"Professor Polya's beautifully written hook has become a classic."---A. 0. L. Atkin, The Mathematical Gazette

"Professor Polya . . . is interested in problem solving and the psychological aspects of mathematical discovery. . . . [These books] should provide many entertaining hours for anyone who cares to pick up the challenge."--Carl Hammer, Journal of the Franklin Institute

"Professor Polya presents a forceful argument for the teaching of intelligent guessing as well as proving. . . . There are also very readable and enjoyable discussions of such concepts as the isoperimetric problem and 'chance, the ever-present rival of conjecture.' "--Bruce E. Meserve, The Mathematics Teacher

L'autore

George Polya was a Hungarian mathematician. Born in Budapest on 13 December 1887, his original name was Pólya Györg. He wrote “How to Solve It”, perhaps the most famous book of mathematics ever written, second only to Euclid's “Elements”. George Polya continued to work on mathematics, even past age 90. He died in Palo Alto, California on September 7, 1985, at age 97.

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Altre edizioni note dello stesso titolo

9780691025100: Mathematics and Plausible Reasoning: Volume II Patterns of Plausible Inference: Logic, Symbolic and mathematical

Edizione in evidenza

ISBN 10:  069102510X ISBN 13:  9780691025100
Casa editrice: Princeton University Press, 1990
Brossura