Satan, Cantor & Infinity: Mind-Boggling Puzzles

 
9780486470368: Satan, Cantor & Infinity: Mind-Boggling Puzzles

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.

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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

Contenuti:

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

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Descrizione libro Dover Publications Inc., United States, 2009. Paperback. Condizione libro: New. 213 x 137 mm. Language: English . Brand New Book. A clear-headed command of logic can make the mind powerful enough to outmaneuver the devil himself, according to these intriguing stories. More than 200 puzzles, problems, and paradoxes await within these pages, woven together by a wizard s captivating narrative. The Sorcerer so skilled in the art of logic that his reasoning seems like magic takes a puzzle-based perspective on the principles underlying the works of mathematician Georg Cantor. His fascinating riddles involve probability, certainty, time, and infinity, and they unfold amid a landscape populated by honorable knights, lying knaves, quick-witted robots, and other fanciful characters. Amusing and enlightening, the Sorcerer s guided tour of infinity is geared toward the most dedicated puzzle-solvers. Although many of the solutions require only common sense, equations appear in several of the stories, and a familiarity with algebra is essential. The author of several imaginative books on recreational mathematics, Raymond Smullyan is a well-known mathematician and logician. He provides solutions within text, rather than at the end or in footnotes, offering readers a natural progression on a puzzle-filled path through the wonders of logic. Codice libro della libreria AAC9780486470368

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Descrizione libro Dover Publications Inc., United States, 2009. Paperback. Condizione libro: New. 213 x 137 mm. Language: English . Brand New Book. A clear-headed command of logic can make the mind powerful enough to outmaneuver the devil himself, according to these intriguing stories. More than 200 puzzles, problems, and paradoxes await within these pages, woven together by a wizard s captivating narrative. The Sorcerer so skilled in the art of logic that his reasoning seems like magic takes a puzzle-based perspective on the principles underlying the works of mathematician Georg Cantor. His fascinating riddles involve probability, certainty, time, and infinity, and they unfold amid a landscape populated by honorable knights, lying knaves, quick-witted robots, and other fanciful characters. Amusing and enlightening, the Sorcerer s guided tour of infinity is geared toward the most dedicated puzzle-solvers. Although many of the solutions require only common sense, equations appear in several of the stories, and a familiarity with algebra is essential. The author of several imaginative books on recreational mathematics, Raymond Smullyan is a well-known mathematician and logician. He provides solutions within text, rather than at the end or in footnotes, offering readers a natural progression on a puzzle-filled path through the wonders of logic. Codice libro della libreria AAC9780486470368

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Descrizione libro Paperback. Condizione libro: New. 135mm x 18mm x 211mm. Paperback. 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, the.Shipping may be from multiple locations in the US or from the UK, depending on stock availability. 270 pages. 0.295. Codice libro della libreria 9780486470368

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Descrizione libro Dover Publications. Paperback. Condizione libro: New. Paperback. 288 pages. Dimensions: 8.4in. x 5.3in. x 0.6in.A clear-headed command of logic can make the mind powerful enough to outmaneuver the devil himself, according to these intriguing stories. More than 200 puzzles, problems, and paradoxes await within these pages, woven together by a wizards captivating narrative. The Sorcerer so skilled in the art of logic that his reasoning seems like magic takes a puzzle-based perspective on the principles underlying the works of mathematician Georg Cantor. His fascinating riddles involve probability, certainty, time, and infinity, and they unfold amid a landscape populated by honorable knights, lying knaves, quick-witted robots, and other fanciful characters. Amusing and enlightening, the Sorcerers guided tour of infinity is geared toward the most dedicated puzzle-solvers. Although many of the solutions require only common sense, equations appear in several of the stories, and a familiarity with algebra is essential. The author of several imaginative books on recreational mathematics, Raymond Smullyan is a well-known mathematician and logician. He provides solutions within text, rather than at the end or in footnotes, offering readers a natural progression on a puzzle-filled path through the wonders of logic. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Paperback. Codice libro della libreria 9780486470368

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