There's Something About Gödel: The Complete Guide to the Incompleteness TheoremISBN: 978-1-4051-9767-0
Paperback
254 pages
November 2009, Wiley-Blackwell
Other Available Formats: Hardcover
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"This is a beautifully clear and accurate presentation of the material, with no technical demands beyond what is required for accuracy, and filled with interesting philosophical suggestions." (John Woods, University of British Columbia)
"There's Something about G¨odel is a bargain: two books in one. The first half is a gentle but rigorous introduction to the incompleteness theorems for the mathematically uninitiated. The second is a survey of the philosophical, psychological, and sociological consequences people have attempted to derive from the theorems, some of them quite fantastical." (Philosophia Mathematica, 2011)
"There is a story that in 1930 the great mathematician John von Neumann emerged from a seminar delivered by Kurt Gödel saying: ‘It's all over.’ Gödel had just proved the two theorems about the logical foundations of mathematics that are the subject of this valuable new book by Francesco Berto. Berto's clear exposition and his strategy of dividing the proof into short, easily digestible chunks make it pleasant reading ... .Berto is lucid and witty in exposing mistaken applications of Gödel's results ... [and] has provided a thoroughly recommendable guide to Gödel's theorems and their current status within, and outside, mathematical logic.” (Times Higher Education Supplement, February 2010)
"Berto's book will tell you everything you wanted to know about Gödel's theorem, but were too afraid to ask. Read it if you want your biggest organ pleasurably stimulated."—Graham Priest, University of Melbourne