Puzzle-lovers of all ages will gobble up this smorgasbord of riddles, mysteries, and logic problems. The fanciful four-part collection begins with arithmetic puzzles for younger readers and advances to logic problems related to crime detection. Part three features logic and arithmetic puzzles ... read more
First-Order Logic by Raymond M. Smullyan This self-contained study is both an introduction to quantification theory and an exposition of new results and techniques in "analytic" or "cut free" methods. The focus is on the tableau point of view. Includes 144 illustrations.
Puzzles in Math and Logic by Aaron J. Friedland 100 original problems in math and logic, featuring permutations, combinations, properties of numbers, algebra, solid and plane geometry, logic, and probability. Even accomplished mathematicians are likely to find some surprises here. 31 drawings.
The Lady or the Tiger?: and Other Logic Puzzles by Raymond M. Smullyan Created by a renowned puzzle master, 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. 1982 edition.
Introduction to Elementary Mathematical Logic by A. A. Stolyar Lucid, accessible exploration of propositional logic, propositional calculus, and predicate logic. Topics include computer science and systems analysis, linguistics, and problems in the foundations of mathematics. 1970 edition.
Undecidable Theories: Studies in Logic and the Foundation of Mathematics by Alfred Tarski, Andrzej Mostowski, Raphael M. Robinson This well-known book by the famed logician consists of three treatises: "A General Method in Proofs of Undecidability," "Undecidability and Essential Undecidability in Mathematics," and "Undecidability of the Elementary Theory of Groups." 1953 edition.
Set Theory and the Continuum Problem by Raymond M. Smullyan, Melvin Fitting A lucid, elegant, and complete survey of set theory, this three-part treatment explores axiomatic set theory, the consistency of the continuum hypothesis, and forcing and independence results. 1996 edition.
Satan, Cantor and Infinity: Mind-Boggling Puzzles by Raymond M. Smullyan A renowned mathematician tells stories of knights and knaves in an entertaining look at the logical precepts behind infinity, probability, time, and change. Requires a strong background in mathematics. Complete solutions.
Professor Hoffmann's Best Math and Logic Puzzles by Louis Hoffmann These pleasantly perplexing highlights from the classic 1893 puzzle book abound in Victorian charm. They include both arithmetic problems and challenges involving words and letters. Complete solutions.
Book of Curious and Interesting Puzzles by David Wells This collection by a bestselling author consists of more than 560 puzzles from around the world and throughout history. "Of immense interest." — Mathematical Gazette. 382 illustrations.
The Canterbury Puzzles by H. E. Dudeney 110 ingenious puzzles, presented as incidents in connected stories, including 31 problems amusingly posed by pilgrims in Chaucer's Canterbury Tales. Solutions included.
Problem Solving Through Recreational Mathematics by Bonnie Averbach, Orin Chein Fascinating approach to mathematical teaching stresses use of recreational problems, puzzles, and games to teach critical thinking. Logic, number and graph theory, games of strategy, much more. Includes answers to selected problems. 1980 edition.
The Puzzling Adventures of Dr. Ecco by Dennis Shasha Join math detective in solving nearly 40 puzzles inspired by methods in computer science and mathematics. The Tower of Lego, Odd Doors Problem, Spies and Double Agents, many more. Solutions.
My Best Mathematical and Logic Puzzles by Martin Gardner The noted expert selects 70 of his favorite "short" puzzles, including such mind-bogglers as The Returning Explorer, The Mutilated Chessboard, Scrambled Box Tops, and dozens more involving logic and basic math. Solutions.
Lewis Carroll's Games and Puzzles by Lewis Carroll, Edward Wakeling Forty-two perplexing puzzles by creator of Alice in Wonderland: Cakes in a Row, Looking-Glass Time, Arithmetical Croquet, Diverse Doublets, and others. Hints, solutions. Illustrations by John Tenniel.
Your Move: Logic, Math and Word Puzzles for Enthusiasts by David L. Silverman Treasury of 100 board, map and word games, variations of chess and checker games, "life games," many more. Solutions for 80 included; 20 unsolved puzzles will challenge serious gamester. 115 illustrations.
Test Your Logic by George J. Summers Fifty logic puzzles range in difficulty from the simple to the more complex. Mostly set in story form, some problems involve establishing identities from clues, while others are based on cryptarithmetic.
Symbolic Logic and the Game of Logic by Lewis Carroll Over 350 ingenious problems involving classical logic: logic expressed in symbols; syllogisms and the sorites diagrammed; logic as a game played with 2 diagrams and a set of counters.
101 Puzzles in Thought and Logic by C. R. Wylie, Jr. Solve murder problems and robberies, see which fishermen are liars and how a blind man can identify color — purely by reasoning! Hours of mind-strengthening entertainment.
Alice in Puzzle-Land: A Carrollian Tale for Children Under Eighty by Raymond M. Smullyan, Martin Gardner, Greer Fitting Characters from Wonderland and Through the Looking-Glass populate these 88 puzzles involving word play, logic and metalogic, and philosophical paradoxes. The charmingly illustrated challenges range from easy to difficult and include solutions.
Puzzle-lovers of all ages will gobble up this smorgasbord of riddles, mysteries, and logic problems. The fanciful four-part collection begins with arithmetic puzzles for younger readers and advances to logic problems related to crime detection. Part three features logic and arithmetic puzzles involving King Arthur and his Dogs of the Round Table. This compilation of original conundrums concludes with Merlin's elaborate plan for a grand search to locate the king's missing dog. The author of more than twenty books, mathematician Raymond Smullyan is also a magician and musician with decades of experience in keeping audiences entertained. Many of his stories are rooted in classic puzzles, but his innovative approaches offer even the most mathematically knowledgeable readers novel ways of thinking about traditional logic problems. Fifteen chapters abound in riddles and other playful devices, and the creative solutions are as much fun as the puzzles!
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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