To Mock a Mockingbird

To Mock a Mockingbird PDF

Author: Raymond M. Smullyan

Publisher: Oxford University Press, USA

Published: 2000

Total Pages: 258

ISBN-13: 0192801422

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The author of Forever Undecided, Raymond Smullyan 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.

Satan, Cantor, And Infinity And Other Mind-bogglin

Satan, Cantor, And Infinity And Other Mind-bogglin PDF

Author: Raymond M. Smullyan

Publisher: Knopf

Published: 2012-05-30

Total Pages: 281

ISBN-13: 0307819825

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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

Forever Undecided PDF

Author: Raymond M. Smullyan

Publisher: Knopf

Published: 2012-07-04

Total Pages: 286

ISBN-13: 0307962466

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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!

The Lady Or the Tiger?

The Lady Or the Tiger? PDF

Author: Raymond M. Smullyan

Publisher: Courier Corporation

Published: 2009-01-01

Total Pages: 242

ISBN-13: 048647027X

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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.

Mathematical Puzzles and Curiosities

Mathematical Puzzles and Curiosities PDF

Author: Barry R. Clarke

Publisher: Courier Corporation

Published: 2013-06-19

Total Pages: 160

ISBN-13: 048631572X

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Intriguing collection features recreational math, logic, and creativity puzzles. Classic and new puzzles include The Monty Hall Problem, The Unexpected Hanging, The Shakespeare Puzzles, and Finger Multiplication.

The Riddle of Scheherazade

The Riddle of Scheherazade PDF

Author: Raymond Smullyan

Publisher: Knopf

Published: 2012-08-22

Total Pages: 219

ISBN-13: 0307819833

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In his new book, Raymond Smullyan, grand vizier of the logic puzzle, joins Scheherazade, a charming young woman of “fantastic logical ingenuity,” to give us 1001 hours of brain-teasing fun. Scheherazade, we find, has gotten back into hot water with the king, and is once more in danger of losing her head at down. But, thinking quickly, she tempts the king to stay her execution by posing him the most delightfully devious mathematical and logic puzzle ever invented. They keep him guessing for many more nights until the fatal hour has passed, and she keeps her head. The Riddle of Scheherazade includes several wonderful old chestnuts and many fiendishly original puzzles, 225 in all. There are logic tricks and number games, metapuzzles (puzzles about puzzles), liar/truth-teller exercises, Gödelian brian twisters, baffling paradoxes, and an excursion, under Scheherazade’s expert guidance, into an amusing new field invented by Smullyan, called “coercive” logic, in which the answer to a problem can actually change the fate of the puzzler! An absolute must for all puzzle fans—from the middle-school whiz to the sophisticated mathematician or computer scientist.

Alice in Puzzle-land

Alice in Puzzle-land PDF

Author: Raymond M. Smullyan

Publisher: Courier Corporation

Published: 2011

Total Pages: 194

ISBN-13: 0486482006

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Characters from Alice's Adventures in Wonderland and Through the Looking-Glass populate these 88 intriguing puzzles. Mathematician Raymond Smullyan re-creates the spirit of Lewis Carroll's writings in puzzles involving word play, logic and metalogic, and philosophical paradoxes. Challenges range from easy to difficult and include solutions, plus 60 charming illustrations. "An ingenious book." — Boston Globe.

The Chess Mysteries of Sherlock Holmes

The Chess Mysteries of Sherlock Holmes PDF

Author: Raymond M. Smullyan

Publisher: Courier Corporation

Published: 2012

Total Pages: 194

ISBN-13: 0486482014

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Join Holmes and Watson as they examine interrupted games to deduce prior moves. A series of increasingly complex chess mysteries culminates in a double murder perpetrated by Professor Moriarty. The master sleuth instructs his companion (and us) in the intricacies of retrograde analysis; readers need only a knowledge of how the pieces move.

What is the Name of this Book?

What is the Name of this Book? PDF

Author: Raymond M. Smullyan

Publisher: Dover Math Games & Puzzles

Published: 2011

Total Pages: 0

ISBN-13: 9780486481982

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A celebrated mathematician presents more than 200 increasingly complex problems that delve into Gödel's undecidability theorem and other examples of the deepest paradoxes of logic and set theory. Solutions.