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Godel's Proof by Ernest Nagel and James R. Newman (1958, Trade Paperback)
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About this product
Product Identifiers
PublisherNew York University Press
ISBN-100814703259
ISBN-139780814703250
eBay Product ID (ePID)19069204573
Product Key Features
Number of Pages160 Pages
LanguageEnglish
Publication NameGodel's Proof
Publication Year1958
SubjectLogic
TypeTextbook
AuthorErnest Nagel, James R. Newman
Subject AreaMathematics
FormatTrade Paperback
Dimensions
Item Height0.3 in
Item Weight4.8 Oz
Item Length8 in
Item Width5 in
Additional Product Features
Intended AudienceScholarly & Professional
LCCN58-005610
Dewey Edition21
Reviews"Represents the cutting edge of research into immigration and integration. This is a major contribution to the literature on diasporas and their consequences for identities." -Richard Alba,author of Blurring the Color Line, "This is a first-rate topical book that will be much read and discussed." -Steven Seidman,author of Contested Knowledge, "An excellent nontechnical account of the substance of Gödel's celebrated paper." -American Mathematical Society
Dewey Decimal511.3
Table Of ContentContentsForeword to the New Edition by Douglas R. Hofstadter ixAcknowledgments xxiiii Introduction 1ii The Problem of Consistency 7iii Absolute Proofs of Consistency 25iv The Systematic Codification of Formal Logic 37v An Example of a Successful Absolute Proof ofConsistency 45vi The Idea of Mapping and Its Use in Mathematics 57vii Godel's Proofs 68a Godel numbering 68b The arithmetization of meta-mathematics 80c The heart of Godel's argument 92viii Concluding Reflections 109Appendix: Notes 114Brief Bibliography 125Index 127
SynopsisIn 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 scholar's 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 Gödel's 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., In 1931 Kurt Godel published a revolutionary paper--one that challenged certain basic assumptions underlying much traditional research in mathematics and logic. Here is the first book to present a readable explanation to both scholars and non-specialists of the main ideas, the broad implications of Godel's proof. It offers any educated person with a taste for logic and philosophy the chance to satisfy his intellectual curiosity about a previously inaccessible subject., In 1931 Kurt G del 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. G del 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 scholar's 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 G del's 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.
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