Godel's Proof

Godel's Proof

Godel's Proof

Godel's Proof

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Overview

"A little masterpiece of exegesis."
Nature

"An excellent nontechnical account of the substance of Gödel's celebrated paper."
American Mathematical Society

In 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 proof. It offers every educated person with a taste for logic and philosophy the chance to understand a previously difficult and inaccessible subject.

Marking the 70th anniversary of the original publication of Gödel's Proof, New York University Press is proud to publish this special anniversary 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: Kurt Gödel taught at Vienna University in the 1930s and then became a Professor in the Institute for Advanced Study at Princeton University. Ernest Nagel was John Dewey Professor of Philosophy at Columbia University, and James R. Newman was the author of What is Science. Douglas R. Hofstadter is College Professor of computer science and cognitive science at Indiana University and author of the Pulitzer-prize winning Gödel, Escher, Bach: An Eternal Golden Braid.


Product Details

ISBN-13: 9781774645024
Publisher: Must Have Books
Publication date: 04/18/2023
Pages: 120
Sales rank: 883,225
Product dimensions: 6.00(w) x 9.00(h) x 0.28(d)

About the Author

James R. Newman

Table of Contents

Chapter 1 Introduction; Chapter 2 The Problem of Consistency; Chapter 3 Absolute Proofs of Consistency; Chapter 4 The Systematic Codification of Formal Logic; Chapter 5 An Example of a Successful Absolute Proof of Consistency; Chapter 6 The Idea of Mapping and Its Use in Mathematics; Chapter 7 Gödel's Proofs; Chapter 8 Concluding Reflections;

What People are Saying About This

From the Publisher

"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

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