Forever Undecided

Forever Undecided

Forever Undecided is the most challenging yet of Raymond Smullyanâ€™s puzzle collections.Â It is, at the same time, an introductionâ€”ingenious, instructive, entertainingâ€”to GÃ¶delâ€™s famous theorems.
Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 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.Â Here we meet a new and amazing array of characters, visitors to the island, seeking to determine the nativesâ€™ identities.Â 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).Â By following the Reasoners through brain-tingling exercises and adventuresâ€”including journeys into the â€œother possible worldsâ€ of Kripke semanticsâ€”even the most illogical of us come to understand GÃ¶delâ€™s two great theorems on incompleteness and undecidability, some of their philosophical and mathematical implications, and why we, like GÃ¶del himself, must remain Forever Undecided!
Country USA
Manufacturer Knopf
Binding Kindle Edition
ReleaseDate 2012-07-04
Format Kindle eBook
EANs 9780307962461

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