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Satan, Cantor and Infinity and Other Mind-boggling Puzzles Raymond M. Smullyan

Satan, Cantor and Infinity and Other Mind-boggling Puzzles von Raymond M. Smullyan

Satan, Cantor and Infinity and Other Mind-boggling Puzzles Raymond M. Smullyan


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Zusammenfassung

A series of puzzles and paradoxes which aim to make complex scientific ideas both accessible and enjoyable. This particular collection includes puzzles about infinity and the ideas of mathematician Georg Cantor.

Satan, Cantor and Infinity and Other Mind-boggling Puzzles Zusammenfassung

Satan, Cantor and Infinity and Other Mind-boggling Puzzles Raymond M. Smullyan

A strange fate brings Princess Annabelle and her suitor Alexander to the Island of Knights and Knaves, where each inhabitant is either a Knight who always makes true statements, or a Knave who only makes false ones. They make friends with a sorcerer, who uses logic so cleverly that everyone thinks it is magic. Leading them through the complexities of logic, he takes them to a different island, where robots are programmed to make other robots with programmes of their own, and the reader has to work out what the programmes will be. The book ends with a guided tour of infinity, and we hear the remarkable story of how the devil was once outwitted by a student of the mathematician Georg Cantor. Raymond Smullyan is a mathematician and logician. He has also written The Lady or the Tiger?, Forever Undecided - a Puzzle Guide to Goedel, To Mock a Mockingbird, The Chess Mysteries of Sherlock Holmes and The Chess Mysteries of The Arabian Knights.

Inhaltsverzeichnis

Part 1 Logical sorcery: the lie detective; when I was a boy; the abduction of Annabelle; how Kazir won his wife; a plague of lies; on the other hand; the Island of Partial Silence. Part 2 Puzzles and metapuzzles: memories of the sorceror's uncle; the Planet Og; metapuzzles. Part 3 Self-reproducing robots: the Island of Robots; the quaint system of Professor Quincey; from the ridiculous to the simple. Part 4 Goedelian puzzles: self-reference and cross-reference; the sorceror's miniature Goedelian language; how to silence a universal machine. Part 5 How can these things be?: something to think about!; of time and change. PArt 6 Infinity: what is infinity?; Cantor's fundamental discovery; but some paradoxes arise!; resolutions; the continuum problem. Part 7 Hypergame, paradoxes and a story: hypergame; paradoxical?; Satan, Cantor and infinity.

Zusätzliche Informationen

GOR002384081
9780192861610
0192861611
Satan, Cantor and Infinity and Other Mind-boggling Puzzles Raymond M. Smullyan
Gebraucht - Sehr Gut
Broschiert
Oxford University Press
19930201
278
N/A
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