Gdel's Proof by Ernest Nagel (English) Hardcover Book

Description: FREE SHIPPING UK WIDE Gdel's Proof by Ernest Nagel, James R. Newman, Douglas R. Hofstadter Best-selling book that challenges basic assumptions of logic FORMAT Hardcover LANGUAGE English CONDITION Brand New Publisher Description In 1931 Kurt Godel published his fundamental paper, "On Formally Undecidable Propositions of Principia Mathematica and Related Systems". This revolutionary paper challenged certain basic assumptions underlying much research in mathematics and logic. Godel received public recognition of his work in 1951 when he was awarded the first Albert Einstein Award for Achievement in the Natural Sciences - perhaps the highest award of its kind in the United States. The award committee described his work in mathematical logic as "one of the greatest contributions to the sciences in recent times". However, few mathematicians of the time were equipped to understand the young scholars complex proof. Ernest Nagel and James Newman provide a readable and accessible explanation to both scholars and non-specialists of the main ideas and broad implications of Godels discovery. It offers every educated person with a taste for logic and philosophy the chance to understand a previously difficult and inaccessible subject. Author Biography Ernest Nagel was John Dewey Professor of Philosophy at Columbia University. James R. Newman was the author of What is Science. Douglas R. Hofstadter is College of Arts and Sciences Professor of computer science and cognitive science at Indiana University and author of the Pulitzer-prize winning Gödel, Escher, Bach: An Eternal Golden Braid. Table of Contents Contents Foreword to the New Edition by Douglas R. Hofstadter ix Acknowledgments xxiii i Introduction 1 ii The Problem of Consistency 7 iii Absolute Proofs of Consistency 25 iv The Systematic Codification of Formal Logic 37 v An Example of a Successful Absolute Proof of Consistency 45 vi The Idea of Mapping and Its Use in Mathematics 57 vii Godels Proofs 68 a Godel numbering 68 b The arithmetization of meta-mathematics 80 c The heart of Godels argument 92 viii Concluding Reflections 109 Appendix: Notes 114 Brief Bibliography 125 Index 127 Review "A little masterpiece of exegesis. Nature An excellent non-technical account of the substance of Gdels celebrated paper. Bulletin of the American Mathematical Society Promotional Best-selling book that challenges basic assumptions of logic Long Description In 1931 Kurt Godel published his fundamental paper, "On Formally Undecidable Propositions of Principia Mathematica and Related Systems". This revolutionary paper challenged certain basic assumptions underlying much research in mathematics and logic. Godel received public recognition of his work in 1951 when he was awarded the first Albert Einstein Award for Achievement in the Natural Sciences - perhaps the highest award of its kind in the United States. The award committee described his work in mathematical logic as "one of the greatest contributions to the sciences in recent times". However, few mathematicians of the time were equipped to understand the young scholars complex proof. Ernest Nagel and James Newman provide a readable and accessible explanation to both scholars and non-specialists of the main ideas and broad implications of Godels discovery. It offers every educated person with a taste for logic and philosophy the chance to understand a previously difficult and inaccessible subject. Review Quote "This is an extraordinarily important book. Marjorie Cohn has gathered some of the most knowledgeable and thoughtful voices who understand and oppose the horrific decision by the Bush/Cheney administration to employ torture to fight terrorists. In these pages they explain not only what was done but why it was so terribly wrong." - John W. Dean, former Nixon White House counsel and author of Conservatives Without Conscience Details ISBN0814758169 Author Douglas R. Hofstadter Publisher New York University Press Edition Description Revised Language English ISBN-10 0814758169 ISBN-13 9780814758168 Media Book Format Hardcover DEWEY 511.3 Illustrations Yes Year 2001 Imprint New York University Press Country of Publication United States Short Title GODELS PROOF REV/E Affiliation formerly John Dewey Professor of Philosophy, Columbia University, USA Place of Publication New York Residence US Birth 1901 DOI 10.1604/9780814758168 UK Release Date 2001-10-01 NZ Release Date 2001-10-01 US Release Date 2001-10-01 Pages 160 Publication Date 2001-10-01 Alternative 9780814758373 Audience Undergraduate AU Release Date 2001-09-30 We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! 30 DAY RETURN POLICY No questions asked, 30 day returns! FREE DELIVERY No matter where you are in the UK, delivery is free. 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