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Satan, Cantor & Infinity : Mind-Boggling Puzzles


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Table of Contents

Preface PART I. 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 II. PUZZLES AND METAPUZZLES Memories of the Sorcerer's Uncle The Planet Og Metapuzzles PART III. SELF-REPRODUCING ROBOTS The Island of Robots The Quaint System of Professor Quincy From the Ridiculous to the Simple PART IV. GODELIAN PUZZLES Self-Reference and Cross-Reference The Sorcerer's Miniature Godelian Language PART V. HOW CAN THESE THINGS BE? Something to Think About! Of Time and Change PART IV. A JOURNEY INTO INFINITY What Is Infinity? Cantor's Fundamental Discovery But Some Paradoxes Arise! Resolutions The Continuum Problem PART VII. HYPERGAME, PARADOXES, AND A STORY Hypergame Paradoxical? Satan, Cantor, and Infinity

About the Author

Born in New York City in 1919, Raymond Smullyan is a philosopher and magician as well as a famous mathematician and logician. His career as a stage magician financed his undergraduate studies at the University of Chicago as well his doctoral work at Princeton. The author of several imaginative books on recreational mathematics, Smullyan is also a classical pianist. Raymond Smullyan: The Merry Prankster Raymond Smullyan (1919- ), mathematician, logician, magician, creator of extraordinary puzzles, philosopher, pianist, and man of many parts. The first Dover book by Raymond Smullyan was First-Order Logic (1995). Recent years have brought a number of his magical books of logic and math puzzles: The Lady or the Tiger (2009); Satan, Cantor and Infinity (2009); an original, never-before-published collection, King Arthur in Search of His Dog and Other Curious Puzzles (2010); and Set Theory and the Continuum Problem (with Melvin Fitting, also reprinted by Dover in 2010). More will be coming in subsequent years. In the Author's Own Words: "Recently, someone asked me if I believed in astrology. He seemed somewhat puzzled when I explained that the reason I don't is that I'm a Gemini." "Some people are always critical of vague statements. I tend rather to be critical of precise statements: they are the only ones which can correctly be labeled 'wrong.'" - Raymond Smullyan Critical Acclaim for The Lady or the Tiger: "Another scintillating collection of brilliant problems and paradoxes by the most entertaining logician and set theorist who ever lived." - Martin Gardner

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