Godel'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. Marking the 50th 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 and most frequently translated 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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LibraryThing Review
User Review  palaverofbirds  LibraryThingFor a book that was supposed to simplify Godel's Proof it was exceptionally complex. No real thesis either; basically, the first 75% of the book is just setting up preliminaries and doesn't even deal ... Read full review
LibraryThing Review
User Review  encephalical  LibraryThingLeft me wondering about more foundational items that were mentioned in passing such as 'primitive recursive truths' and the 'Correspondence Lemma'. The exposition seemed rushed at the end. Read full review
Contents
1  
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 Gödels Proofs  68 
VIII Concluding Reflections  109 
Notes  114 
125  
127  