Godel's Proof, Revised Edition
by Ernest Nagel , James R. Newman , Douglas R. Hofstadter

Persian Title: اثبات، نسخه تجدید نظر شده گودل

Summary and Info
"In 1931 Kurt Godel disrupted some of the fundamental assumptions underlying mathematics and logic with the publication of his revolutionary paper, "On Formally Undecidable Propositions of Principia Mathematica and Related Systems." Ironically, few mathematicians of the time were able to understand the young scholar's complex proof, and the full importance of this work was largely overlooked for many years. Godel was at last recognized by his peers and presented with the first Albert Einstein Award in 1951 for achievement in the natural sciences  the highest honor of its kind in the United States. The award committee, which included Albert Einstein and J. Robert Oppenheimer, described his work as "one of the greatest contributions to the sciences in recent times."" "In Godel's Proof, Ernest Nagel and James Newman provide a readable and nontechnical explanation for both scholars and nonspecialists of the main ideas and broad implications of Godel's discovery. First published in 1958 and in print continuously in ten languages, this highly popular, seminal work offers every educated person with an interest in mathematics, logic, and philosophy the opportunity to understand a previously difficult and inaccessible subject."BOOK JACKET. Read more... The problem of consistency  Absolute proofs of consistency  The systematic codification of formal logic  An example of a successful absolute proof of consistency  The idea of mapping and its use in mathematics  Gödel's proofs  A Gödel numbering  The arithmetization of metamathematics  The heart of Gödel's argument  Concluding reflections  Appendix: Notes  Brief bibliography  Index
More About the Author
Ernest Nagel (November 16, 1901 – September 20, 1985) was an American philosopher of science. Along with Rudolf Carnap, Hans Reichenbach, and Carl Hempel, he is sometimes seen as one of the major figures of the logical positivist movement.
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