Download or read book Satan Cantor And Infinity And Other Mind bogglin written by Raymond M. Smullyan and published by Knopf. This book was released on 2012-05-30 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Satan Cantor and Infinity written by Raymond Smullyan and published by . This book was released on 1993 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Satan Cantor and Infinity written by Raymond M. Smullyan and published by . This book was released on 1994-06-01 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The G delian Puzzle Book written by Raymond M. Smullyan and published by Courier Corporation. This book was released on 2013-08-21 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Alice in Puzzle land written by Raymond M. Smullyan and published by Courier Corporation. This book was released on 2011 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book A Beginner s Guide to Mathematical Logic written by Raymond M. Smullyan and published by Courier Corporation. This book was released on 2014-03-19 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combining stories of great writers and philosophers with quotations and riddles, this original text for first courses in mathematical logic examines problems related to proofs, propositional logic and first-order logic, undecidability, and other topics. 2014 edition.
Download or read book In Search of Infinity written by N.Ya. Vilenkin and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concept of infinity is one of the most important, and at the same time, one of the most mysterious concepts of science. Already in antiquity many philosophers and mathematicians pondered over its contradictory nature. In mathematics, the contradictions connected with infinity intensified after the creation, at the end of the 19th century, of the theory of infinite sets and the subsequent discovery, soon after, of paradoxes in this theory. At the time, many scientists ignored the paradoxes and used set theory extensively in their work, while others subjected set-theoretic methods in mathematics to harsh criticism. The debate intensified when a group of French mathematicians, who wrote under the pseudonym of Nicolas Bourbaki, tried to erect the whole edifice of mathematics on the single notion of a set. Some mathematicians greeted this attempt enthusiastically while others regarded it as an unnecessary formalization, an attempt to tear mathematics away from life-giving practical applications that sustain it. These differences notwithstanding, Bourbaki has had a significant influence on the evolution of mathematics in the twentieth century. In this book we try to tell the reader how the idea of the infinite arose and developed in physics and in mathematics, how the theory of infinite sets was constructed, what paradoxes it has led to, what significant efforts have been made to eliminate the resulting contradictions, and what routes scientists are trying to find that would provide a way out of the many difficulties.
Download or read book The Lady Or the Tiger written by Raymond M. Smullyan and published by Courier Corporation. This book was released on 2009-01-01 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.
Download or read book The Chess Mysteries of Sherlock Holmes written by Raymond M. Smullyan and published by Courier Corporation. This book was released on 2012 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Mystery of the Aleph written by Amir D. Aczel and published by Simon and Schuster. This book was released on 2001-08-28 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: A compelling narrative that blends the story of infinity with the tragic tale of a tormented and brilliant mathematician.
Download or read book To Mock a Mockingbird written by Raymond M. Smullyan and published by Oxford University Press, USA. This book was released on 2000 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Riddle of Scheherazade written by Raymond Smullyan and published by Knopf. This book was released on 2012-08-22 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Sorcery Satan and Cantor and Other Mind Boggling Puzzles written by Raymond F. and published by . This book was released on 2017-10-26 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: Few things have stirred the imagination as much as Infinity! It has all sorts of curious properties which at first seem paradoxical, but then turn out not to be. As such, it provides ideal material for a puzzle book. As with my earlier puzzle books, this one starts out with new puzzles about truth- tellers and liars (knights and knaves), but I have added a remarkable character known as the Sorcerer, who is considered a magician by those around him, although he is really a logician who uses logic so cleverly that it seems like magic to those not in the know. After many exhibitions of his logical sorcery, he escorts us through a host of unusual adventures, including a visit to an island where intelligent robots create other robots and endow them with enough intelligence to create other intelligent robots, who in turn create other intelligent robots, and so forth, ad infinitum. Then, after some special puzzles related to G�del's famous theorem and some curious paradoxes about probability, time, and change, the Sorcerer gives us a guided tour of Infinity, explaining the pioneering discoveries of the great mathematician Georg Cantor, who was the first to put the subject on a logically sound basis. The Sorcerer, in his typically humorous fashion, ends up with a delightful tale of how Satan himself is outwitted by a clever student of Cantor's. On the serious side, it must be wondered at that the whole fascinating subject of Infinity is so little known to the general public! Why isn't it taught in high schools? It is no harder to understand than algebra or geometry, and it is so rewarding! The last few chapters of this book provide an inviting (and easy) introduction to the subject. Even a neophyte can understand the nature of Infinity, Cantor's amazing contribution, and an account of what may be the greatest mathematical problem of all time which remains unsolved to this very day!
Download or read book King Arthur in Search of His Dog and Other Curious Puzzles written by Raymond M. Smullyan and published by Courier Corporation. This book was released on 2010-04-21 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book First Order Logic written by Raymond R. Smullyan and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: Except for this preface, this study is completely self-contained. It is intended to serve both as an introduction to Quantification Theory and as an exposition of new results and techniques in "analytic" or "cut-free" methods. We use the term "analytic" to apply to any proof procedure which obeys the subformula principle (we think of such a procedure as "analysing" the formula into its successive components). Gentzen cut-free systems are perhaps the best known example of ana lytic proof procedures. Natural deduction systems, though not usually analytic, can be made so (as we demonstrated in [3]). In this study, we emphasize the tableau point of view, since we are struck by its simplicity and mathematical elegance. Chapter I is completely introductory. We begin with preliminary material on trees (necessary for the tableau method), and then treat the basic syntactic and semantic fundamentals of propositional logic. We use the term "Boolean valuation" to mean any assignment of truth values to all formulas which satisfies the usual truth-table conditions for the logical connectives. Given an assignment of truth-values to all propositional variables, the truth-values of all other formulas under this assignment is usually defined by an inductive procedure. We indicate in Chapter I how this inductive definition can be made explicit-to this end we find useful the notion of a formation tree (which we discuss earlier).
Download or read book Draw 50 Outer Space written by Lee J. Ames and published by Watson-Guptill. This book was released on 2017-07-25 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt: Part of the best-selling Draw 50 series this step-by-step guide to sketching and rendering astronauts, planets, asteroids, comets, spaceships, space stations, and other elements related to outer space exploration is for artists of all levels. In this new installment of Lee J. Ames's beloved Draw 50 series, readers will find easy-to-follow, step-by-step lessons for outer space drawing. In each lesson, six wordless steps provide everything needed to master drawing all kinds of planets, moons, comets, and meteors, as well as astronauts, rockets, spaceships, and other aspects--both natural and manmade--related to charting the cosmos.
Download or read book What is the Name of this Book written by Raymond M. Smullyan and published by Dover Math Games & Puzzles. This book was released on 2011 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
