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The Lady Or The Tiger

Author: Raymond M. Smullyan
Publisher: Courier Corporation
ISBN: 048647027X
Size: 71.35 MB
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"Another scintillating collection of brilliant problems and paradoxes by the most entertaining logician and set theorist who ever lived." — Martin Gardner. Inspired by the classic tale of a prisoner's dilemma, these whimsically themed challenges involve paradoxes about probability, time, and change; metapuzzles; and self-referentiality. Nineteen chapters advance in difficulty from relatively simple to highly complex.

King Arthur In Search Of His Dog And Other Curious Puzzles

Author: Raymond M. Smullyan
Publisher: Courier Corporation
ISBN: 0486474356
Size: 40.88 MB
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This fanciful, original collection for readers of all ages features arithmetic puzzles, logic problems related to crime detection, and logic and arithmetic puzzles involving King Arthur and his Dogs of the Round Table.

Satan Cantor And Infinity And Other Mind Bogglin

Author: Raymond M. Smullyan
Publisher: Knopf
ISBN: 0307819825
Size: 50.22 MB
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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 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 George 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.

Forever Undecided

Author: Raymond M. Smullyan
Publisher: Knopf
ISBN: 0307962466
Size: 71.14 MB
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Forever Undecided is the most challenging yet of Raymond Smullyan’s puzzle collections. It is, at the same time, an introduction—ingenious, instructive, entertaining—to Gödel’s famous theorems. With all the wit and charm that have delighted readers of his previous books, Smullyan transports us once again to that magical island where knights always tell the truth and knaves always lie. Here we meet a new and amazing array of characters, visitors to the island, seeking to determine the natives’ identities. Among them: the census-taker McGregor; a philosophical-logician in search of his flighty bird-wife, Oona; and a regiment of Reasoners (timid ones, normal ones, conceited, modest, and peculiar ones) armed with the rules of propositional logic (if X is true, then so is Y). By following the Reasoners through brain-tingling exercises and adventures—including journeys into the “other possible worlds” of Kripke semantics—even the most illogical of us come to understand Gödel’s two great theorems on incompleteness and undecidability, some of their philosophical and mathematical implications, and why we, like Gödel himself, must remain Forever Undecided!

Logical Labyrinths

Author: Raymond Smullyan
Publisher: CRC Press
ISBN: 143986537X
Size: 58.80 MB
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This book features a unique approach to the teaching of mathematical logic by putting it in the context of the puzzles and paradoxes of common language and rational thought. It serves as a bridge from the author’s puzzle books to his technical writing in the fascinating field of mathematical logic. Using the logic of lying and truth-telling, the author introduces the readers to informal reasoning preparing them for the formal study of symbolic logic, from propositional logic to first-order logic, a subject that has many important applications to philosophy, mathematics, and computer science. The book includes a journey through the amazing labyrinths of infinity, which have stirred the imagination of mankind as much, if not more, than any other subject.

To Mock A Mocking Bird

Author: Raymond M. Smullyan
Publisher: Knopf
ISBN: 0307819795
Size: 63.60 MB
Format: PDF, ePub, Mobi
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In this entertaining and challenging new collection of logic puzzles, Raymond Smullyan—author of What Is the Name of This Book? And The Lady or the Tiger?—continues to delight and astonish us with his gift for making available, in the thoroughly pleasurable form of puzzles, some of the most important mathematical thinking of our time. In the first part of the book, he transports us once again to that wonderful realm where knights, knaves, twin sisters, quadruplet brothers, gods, demons, and mortals either always tell the truth or always lie, and where truth-seekers are set a variety of fascinating problems. The section culminates in an enchanting and profound metapuzzle (a puzzle about a puzzle), in which Inspector Craig of Scotland Yard gets involved in a search of the Fountain of Youth on the Island of Knights and Knaves. In the second and larger section, we accompany the Inspector on a summer-long adventure into the field of combinatory logic (a branch of logic that plays an important role in computer science and artificial intelligence). His adventure, which includes enchanted forests, talking birds, bird sociologists, and a classic quest, provides for us along the way the pleasure of solving puzzles of increasing complexity until we reach the Master Forest and—thanks to Gödel’s famous theorem—the final revelation. To Mock a Mockingbird will delight all puzzle lovers—the curious neophytes as well as the serious students of logic, mathematics, or computer science.

This Book Needs No Title

Author: Raymond Smullyan
Publisher: Simon and Schuster
ISBN: 0671628313
Size: 30.94 MB
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Eighty paradoxes, logical lobyrinths, and intriguing enigmas progress from light fables and fancies to challenging Zen exercises and a novella and probe the timeless questions of philosophy and life

The G Delian Puzzle Book

Author: Raymond M. Smullyan
Publisher: Courier Corporation
ISBN: 0486315770
Size: 76.32 MB
Format: PDF, ePub, Mobi
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These logic puzzles provide entertaining variations on Gödel's incompleteness theorems, offering ingenious challenges related to infinity, truth and provability, undecidability, and other concepts. No background in formal logic necessary.

Mathematical Recreations Of Lewis Carroll

Author: Lewis Carroll
Publisher: Courier Corporation
ISBN: 0486204936
Size: 65.11 MB
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Charles L. Dodgson was a Mathematical Lecturer at Oxford, better known as Lewis Carroll. This collection of mathematical puzzles was compiled in 1893, following years of insomnia. Dodgson claimed to have solved every puzzle, without pencil and paper, during his sleepness nights. This incredible feat is difficult to comprehend, even for such a genius. The complexity and good humor of the problems and tales are suggestive of his well-loved "Alice in Wonderland". Dodgson also hints at his pioneering the field of symbolic logic.