Gödel's ProofIn 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 nonspecialists 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. 
What people are saying  Write a review
User ratings
5 stars 
 
4 stars 
 
3 stars 
 
2 stars 
 
1 star 

Review: Gödel's Proof
User Review  Al Maki  GoodreadsI give the book two stars simply because I couldn't follow it. It took a semester of lectures by Marlin Rayburn for me to grasp Godel's Proof. Read full review
Review: Gödel's Proof
User Review  Assaad  GoodreadsI bought this book on kindle and in printed format. It is the best one can have as an easy demonstration of Godel's incompleteness theorem. I got interested about the subject after reading Hofstadter ... Read full review
Contents
Introduction  1 
The Problem of Consistency  7 
Absolute Proofs of Consistency  25 
The Systematic Codification of Formal Logic  37 
An Example of a Successful Absolute Proof of Consistency  45 
The Idea of Mapping and Its Use in Mathematics  57 
Godels Proofs  68 
B The arithmetization of metamathematics  80 
C The heart of Godels argument  92 
Concluding Reflections  109 
Notes  114 
125  
127  