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|Author(s)||Ernest Nagel and James R. Newman|
|Edited and with a new Foreword by||Douglas R. Hofstadter|
|Description||[INNER FRONT FLAP]
In 1931, Kurt Gödel 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. Gödel 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 Gödel's Proof, Ernest Nagel and James Newman provide a readable and non-technical explanation for both scholars and non-specialists of the main ideas and broad implications of Gödel'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.
[INNER BACK FLAP]
In this new edition, Pulitzer prize-winning author Douglas R. Hofstadter has reviewed and updated the text of this classic work, clarifying ambiguities, making arguments clearer, and making the text more accessible than ever before. He has also added a new Foreword which reveals his own unique personal connection to this major work and the impact it has had on his own professional life, explains the essence of Gödel's proof remains revelant today. This delightful book will appeal to students, scholars, teachers, and professionals in mathematics, computer science, logic, philosophy, and general science.
In 1931 Kurt Gödel published a revolutionary paper—one that challenged certain basic assummptions underlying much traditional research in mathematics and logic. Today his exploration of terra incognita is recognized as one of the major contributions to modern scientific thought. Gödel's Proof, now revised, expanded and updated, is the first book to present a readable explanation of the main ideas and broad implications of Gödel's proof.
|Dedication||to Bertrand Russell|
|Book Dimensions||Width: 5.38″ (5 3/8″)|
|Height: 8.25″ (8 ¼″)|
|Depth: 0.75″ (¾″)|
|Contents||Foreword to the New Edition by Douglas R. Hofstadter, Acknowledgements, Introduction, 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 Proof - Gödel numbering, The arithmetization of meta-mathematics, The heart of Gödel's argument, Concluding Reflections, Appendix: Notes, Brief Bibliography, Index|
|Published||October 1, 2008|
|Publisher||New York University Press Washington Square New York, New York (http://www.nyupress.nyu.edu)|
|Copyright||© 2001 by New York University. All Rights Reserved.|
|Manufactured in||United States of America|
|Book Format||Hardcover, Paperback, eTextbook, NOOK book|
"A little masterpiece of exegesis." —Nature
"An excellent non-technical account of the substance of Gödel's celebrated paper." —Bulletin of the American Mathematical Society
|Best Seller's List||--|
|Other||The late ERNEST NAGEL was John Dewey Professor of Philosophy at Columbia University and the late JAMES R. NEWMAN was 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.
|Library of Congress Cataloging-in-Publication Data||1. Gödel's theorem.|
|I. Newman, James Roy, 1907-1966.|
|II. Hofstadter, Douglas R., 1945—|
|LC Control Number||2001044481|
|LC Call Number||QA9..65 .N34 2002|
|DDC Call Number||511.3—dc21|