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by Raymond M. Smullyan
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ISBN: 0486470369 Dover Publications Price: $12.95 |
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Honorable knights, lying knaves, and other fanciful characters populate this unusual survey of the principles underlying the works of Georg Cantor. Created by a renowned mathematician, these engaging puzzles apply logical precepts to issues of infinity, probability, time, and change. They require a strong mathematics background and feature complete solutions.
Reprint of the Alfred A. Knopf, New York, 1992 edition.
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Table of Contents for Satan, Cantor and Infinity: Mind-Boggling Puzzles
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. GÖDELIAN PUZZLES Self-Reference and Cross-Reference The Sorcerer's Miniature Gödelian 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