# RAYMOND SMULLYAN

# SATAN, CANTOR,

AND INFINITY

#### AND OTHER MIND BOGGLING PUZZLES

More than two hundred new and challenging logic puzzles-the simplest brainteaser to the most complex paradoxes in contemporary mathematical thinking-from our topmost puzzlemaster ("the most entertaining logician who ever lived," Martin Gardner has called him).

Our guide to the puzzles is the Sorcerer, who resides on the Island of Knights and Knaves, where knights always tell the truth and knaves always lie, and he introduces us to the amazing magic-logic-that enables us to discover which inhabitants are which. Then, in a picaresque adventure in logic, he takes us to the planet Og, to the Island of Partial Silence, and to a land where metallic robots wearing strings of capital letters are noisily duplicating and dismantling themselves and others. The reader's job is to figure out how it all works.

Finally, we accompany the Sorcerer on an alluring tour of Infinity which includes Georg Cantor’s amazing mathematical insights. The tour (and the book) ends with Satan devising a diabolical puzzle for one of Cantor's prize students-who outwits him!

In sum: a devilish magician's cornucopia of puzzles-a delight for every age and level of ability.

Raymond Smullyan, well-known mathematician and logician, is Oscar Ewing Professor of Philosophy at Indiana University and Professor Emeritus of the City University of New York-Lehman College and Graduate Center. His many writings include five previous volumes of recreational logic and math problems, *What Is the Name of This Book?, The Lady or the Tiger?, Alice in Puzzleland, To Mock a Mockingbird*, and *Forever Undecided*; two studies of deductive logic in chess, *The Chess Mysteries of Sherlock Holmes* and *The Chess Mysteries of the Arabian Knights*; and three collections of philosophical essays and aphorisms, *The Tao Is Silent, This Book Needs No Title*, and *5000 B. C.
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