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Author : Peter Smith
Release : 2022-12
Genre :
Kind : eBook
Book Rating : 341/5 ( reviews)
Book Synopsis Gödel Without (Too Many) Tears by : Peter Smith
Download or read book Gödel Without (Too Many) Tears written by Peter Smith. This book was released on 2022-12. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Peter Smith
Release : 2021-06-15
Genre :
Kind : eBook
Book Rating : 303/5 ( reviews)
Book Synopsis Gödel Without (Too Many) Tears by : Peter Smith
Download or read book Gödel Without (Too Many) Tears written by Peter Smith. This book was released on 2021-06-15. Available in PDF, EPUB and Kindle. Book excerpt: Kurt Gödel's famous First Incompleteness Theorem shows that for any sufficiently rich theory that contains enough arithmetic, there are some arithmetical truths the theory cannot prove. How is this remarkable result proved? This short book explains. It also discusses Gödel's Second Incompleteness Theorem. Based on lecture notes for a course given in Cambridge for many years, the aim is to make the Theorems available, clearly and accessibly, even to those with a quite limited formal background.
Author : Raymond M. Smullyan
Release : 2012-07-04
Genre : Mathematics
Kind : eBook
Book Rating : 466/5 ( reviews)
Book Synopsis Forever Undecided by : Raymond M. Smullyan
Download or read book Forever Undecided written by Raymond M. Smullyan. This book was released on 2012-07-04. Available in PDF, EPUB and Kindle. Book excerpt: Forever Undecided is the most challenging yet of Raymond Smullyan’s puzzle collections. It is, at the same time, an introduction—ingenious, instructive, entertaining—to Gödel’s famous theorems. With all the wit and charm that have delighted readers of his previous books, Smullyan transports us once again to that magical island where knights always tell the truth and knaves always lie. Here we meet a new and amazing array of characters, visitors to the island, seeking to determine the natives’ identities. Among them: the census-taker McGregor; a philosophical-logician in search of his flighty bird-wife, Oona; and a regiment of Reasoners (timid ones, normal ones, conceited, modest, and peculiar ones) armed with the rules of propositional logic (if X is true, then so is Y). By following the Reasoners through brain-tingling exercises and adventures—including journeys into the “other possible worlds” of Kripke semantics—even the most illogical of us come to understand Gödel’s two great theorems on incompleteness and undecidability, some of their philosophical and mathematical implications, and why we, like Gödel himself, must remain Forever Undecided!
Author : James R. Meyer
Release : 2008
Genre : Fiction
Kind : eBook
Book Rating : 005/5 ( reviews)
Book Synopsis The shackles of conviction by : James R. Meyer
Download or read book The shackles of conviction written by James R. Meyer. This book was released on 2008. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Peter Smith
Release : 1998-09-24
Genre : Philosophy
Kind : eBook
Book Rating : 475/5 ( reviews)
Book Synopsis Explaining Chaos by : Peter Smith
Download or read book Explaining Chaos written by Peter Smith. This book was released on 1998-09-24. Available in PDF, EPUB and Kindle. Book excerpt: A clear and accessible discussion of the ideas and issues behind chaotic dynamics.
