Satan, Cantor and infinity : and other mind-boggling puzzles
著者
書誌事項
Satan, Cantor and infinity : and other mind-boggling puzzles
（Oxford paperbacks）
Oxford University Press, 1993
- : pbk
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注記
Originally published: New York: Alfred A. Knopf, 1992
内容説明・目次
内容説明
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".
目次
- 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.
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