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

## Raymond M. Smullyan

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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".

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From Publishers Weekly:

In Smullyan's latest challenging collection of logic puzzles, the Sorcerer, a logician who uses logic so cleverly it seems like magic, visits an island where intelligent robots create other robots. King Zorn, Princess Annabelle, truth-telling knights and lying knaves lighten the presentation of puzzles as the Sorcerer explains the pioneering discoveries of mathematician Georg Cantor (1845-1918) who proved that there are different orders of infinity, and as he delves into paradoxes about probability, time and change. Smullyan ( The Lady or the Tiger? ) tosses in metapuzzles (which are solved on the basis of knowing that certain other puzzles can or cannot be solved) and explores self-referentiality, a property crucial to Kurt Godel's famous incompleteness theorem. The Sorcerer closes with a tale of how Satan is outwitted by a student of Cantor's. A mind-stretching entertainment for the serious, dedicated puzzle-solver.

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## 1.Satan, Cantor and Infinity and Other Mind-boggling Puzzles

Editorial: Oxford Paperbacks (1993)
ISBN 10: 0192861611 ISBN 13: 9780192861610