Godel's Proof

Godel's Proof

by Ernest Nagel, James R. Newman

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Overview

In 1931 the mathematical logician Kurt Godel published a revolutionary paper that challenged certain basic assumptions underpinning mathematics and logic. A colleague of Albert Einstein, his theorem proved that mathematics was partly based on propositions not provable within the mathematical system and had radical implications that have echoed throughout many fields. A gripping combination of science and accessibility, Godel’s Proof by Nagel and Newman is for both mathematicians and the idly curious, offering those with a taste for logic and philosophy the chance to satisfy their intellectual curiosity.

Product Details

ISBN-13: 9780415040402
Publisher: Taylor & Francis, Inc.
Publication date: 06/17/1971
Series: Routledge Classics Series
Pages: 128
Product dimensions: 6.00(w) x 1.25(h) x 9.00(d)
Lexile: 1400L (what's this?)

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Godel's Proof 4.8 out of 5 based on 0 ratings. 4 reviews.
Guest More than 1 year ago
Great introductory book on Godel´s incompletness theorem. Starts with a clear explanation about how simple axioms become theorems and some of the problems associated with consitency. Next it will guide you through the requirements to grasp Godel´s proof and at the end it will provide a clear explanation on the subject. It will even explain what mathematical formality is all about. Don´t worry about your mathematical background the authors do a great job on explaining everything as simple as possible. Once I started reading I couldn´t stop. I recommend reading it before the formal paper written by Godel itself.
billmcn on LibraryThing More than 1 year ago
This is a non-formal, though still rigorous, presentation of the argument of Gödel's famous demonstration that will be accessible to anyone familiar with the basics of mathematical proof, logic, and number theory. By the end of the book, I acutally had the outline of Gödel's tricky self-referential argument all in my head at once, and though it faded quickly, I feel confident I could resurrect it with another reading. Nagel's description of the significance of the proof, as opposed to its mechanics, is less thorough, but that's a quibble. This slim book is a truly impressive feat of exposition.
Anonymous More than 1 year ago
Simply excellent. You will understand this "piece of jewell" (which is not a minor stuff concerning this theorem..)!!!
Guest More than 1 year ago
This book does the best job of explaining a fundamentally opaque subject matter clearly and concisely to the lay reader, especially with the new footnotes added in by Douglas Hofstadter in this editione. i highly recommend this title to those interested in the fundamentals of mathematics, logic, or computer science.