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

Description: FREE SHIPPING UK WIDE Gdel's Proof by Ernest Nagel, James R. Newman, Douglas R. Hofstadter 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. The authors provide an explanation of the main ideas and broad implications of Godels discovery. FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher Description An accessible explanation of Kurt Gödels groundbreaking work in mathematical logicIn 1931 Kurt Gödel 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. Gödel 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 Gödels discovery. It offers every educated person with a taste for logic and philosophy the chance to understand a previously difficult and inaccessible subject.New York University Press is proud to publish this special edition of one of its bestselling books. With a new introduction by Douglas R. Hofstadter, this book will appeal students, scholars, and professionals in the fields of mathematics, computer science, logic and philosophy, and science. 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 Special anniversary edition of the best-selling book that challenges basic assumptions of logic Long Description In 1931 Kurt Goedel 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. Goedel 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 Goedels discovery. It offers every educated person with a taste for logic and philosophy the chance to understand a previously difficult and inaccessible subject. New York University Press is proud to publish this special edition of one of its bestselling books. With a new introduction by Douglas R. Hofstadter, this book will appeal students, scholars, and professionals in the fields of mathematics, computer science, logic and philosophy, and science. Review Quote ( "What people did to rubber was interesting, but more interesting still was what rubber did to people." )-(Vicki Baum),(Novelist ) Details ISBN0814758371 Author Douglas R. Hofstadter Short Title GODELS PROOF REV/E Publisher New York University Press Edition Description Revised Language English ISBN-10 0814758371 ISBN-13 9780814758373 Media Book Format Paperback DEWEY 511.3 Year 2008 Edition 50th Imprint New York University Press Country of Publication United States Edited by Douglas R. Hofstadter Birth 1901 Place of Publication New York Residence US Illustrations black & white illustrations DOI 10.1604/9780814758373 UK Release Date 2008-10-01 NZ Release Date 2008-10-01 US Release Date 2008-10-01 Pages 160 Publication Date 2008-10-01 Alternative 9780814758168 Audience Undergraduate AU Release Date 2008-09-30 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. SECURE PAYMENT Peace of mind by paying through PayPal and eBay Buyer Protection TheNile_Item_ID:161715309;

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