Raymond Smullyan's Books

Reflections

The Magic, Music, and Mathematics of Raymond Smullyan

By: Raymond M. Smullyan

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Reflections

The Magic, Music, and Mathematics of Raymond Smullyan

By: Raymond M. Smullyan

This is an exciting if not rambling account of events of Raymond Smullyan's four lives -- as a mathematical logician, musician, magician, and author -- together with thoughts that come to his mind as he recalls them. This book includes topics from some of Smullyan's twenty-six books, as well as many of his favorite anecdotes and jokes. It also presents some generalizations of theorems of the great logicians GOdel and Tarski, and discusses logic in general, and how he won his wife with a logic trick! Smullyan also relates some of his teaching experiences, and expresses his views on mathematical education, and how our present textbooks are primarily responsible for its decline! About his life as a pianist, Smullyan relates a good deal about his experiences with the Piano Society -- a wonderful organization to which he is a staunch contributor, and how he has had such delightful relations with many of its members. Last but not least, Smullyan recounts how he has known some lovely ladies over the years.

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Page Count

213

Publisher

World Scientific Publishing Company Incorporated

Published Date

ISBN 10

9814644587

ISBN 13

9789814644587

The Magic Garden Of George B And Other Logic Puzzles

By: Raymond M Smullyan

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The Magic Garden Of George B And Other Logic Puzzles

By: Raymond M Smullyan

Raymond Smullyan presents a bombshell puzzle so startling that it seems incredible that there could be any solution at all! But there is indeed a solution — moreover, one that requires a chain of lesser puzzles to be solved first. The reader is thus taken on a journey through a maze of subsidiary problems that has all the earmarks of an entertaining detective story.This book leads the unwary reader into deep logical waters through seductively entertaining logic puzzles. One example is Boolean algebra with such weird looking equations as 1+1=0 — a subject which today plays a vital role, not only in mathematical systems, but also in computer science and artificial intelligence.

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Page Count

181

Publisher

World Scientific

Published Date

ISBN 10

9814675075

ISBN 13

9789814675079

Logical Labyrinths

By: Raymond Smullyan

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Logical Labyrinths

By: Raymond Smullyan

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 au

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Page Count

332

Publisher

CRC Press

Published Date

ISBN 10

143986537X

ISBN 13

9781439865378

The Riddle of Scheherazade

And Other Amazing Puzzles, Ancient and Modern

By: Raymond Smullyan

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The Riddle of Scheherazade

And Other Amazing Puzzles, Ancient and Modern

By: Raymond Smullyan

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.

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Page Count

219

Publisher

Knopf

Published Date

ISBN 10

0307819833

ISBN 13

9780307819833

In Their Own Words

By: Raymond Smullyan,Peter Bispham

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In Their Own Words

By: Raymond Smullyan,Peter Bispham

The Piano Society is an international Internet-based non-profit organization. Both amateur and professional pianists can join and submit recordings which, if accepted, are made freely available on a website for anyone to hear.A number of members were approached by the editors to provide profiles for this book, and the result is a wonderfully diverse range of contributions from pianists from around the world.

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Page Count

185

Publisher

Lulu.com

Published Date

ISBN 10

1409257568

ISBN 13

9781409257561

Reflections: The Magic, Music And Mathematics Of Raymond Smullyan

By: Raymond M Smullyan

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Reflections: The Magic, Music And Mathematics Of Raymond Smullyan

By: Raymond M Smullyan

This is an exciting if not rambling account of events of Raymond Smullyan's four lives — as a mathematical logician, musician, magician, and author — together with thoughts that come to his mind as he recalls them. This book includes topics from some of Smullyan's twenty-six books, as well as many of his favorite anecdotes and jokes. It also presents some generalizations of theorems of the great logicians Gödel and Tarski, and discusses logic in general, and how he won his wife with a logic trick! Smullyan also relates some of his teaching experiences, and expresses his views on mathematical education, and how our present textbooks are primarily responsible for its decline! About his life as a pianist, Smullyan relates a good deal about his experiences with the Piano Society — a wonderful organization to which he is a staunch contributor, and how he has had such delightful relations with many of its members. Last but not least, Smullyan recounts how he has known some lovely ladies over the years.

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Page Count

224

Publisher

World Scientific

Published Date

ISBN 10

9814644609

ISBN 13

9789814644600

The Lady Or the Tiger?

And Other Logic Puzzles

By: Raymond M. Smullyan

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The Lady Or the Tiger?

And Other Logic Puzzles

By: Raymond M. Smullyan

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.

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Page Count

242

Publisher

Courier Corporation

Published Date

ISBN 10

048647027X

ISBN 13

9780486470276

In Their Own Words

By: Raymond Smullyan,Peter Bispham

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In Their Own Words

By: Raymond Smullyan,Peter Bispham

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Page Count

185

Publisher

Lulu.com

Published Date

ISBN 10

1409257568

ISBN 13

9781409257561

Godel's Incompleteness Theorems

By: Raymond M. Smullyan

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Godel's Incompleteness Theorems

By: Raymond M. Smullyan

Kurt Godel, the greatest logician of our time, startled the world of mathematics in 1931 with his Theorem of Undecidability, which showed that some statements in mathematics are inherently "undecidable." His work on the completeness of logic, the incompleteness of number theory, and the consistency of the axiom of choice and the continuum theory brought him further worldwide fame. In this introductory volume, Raymond Smullyan, himself a well-known logician, guides the reader through the fascinating world of Godel's incompleteness theorems. The level of presentation is suitable for anyone with a basic acquaintance with mathematical logic. As a clear, concise introduction to a difficult but essential subject, the book will appeal to mathematicians, philosophers, and computer scientists.

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Page Count

156

Publisher

Oxford University Press

Published Date

ISBN 10

0195364376

ISBN 13

9780195364378

Satan, Cantor, And Infinity And Other Mind-bogglin

By: Raymond M. Smullyan

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Satan, Cantor, And Infinity And Other Mind-bogglin

By: Raymond M. Smullyan

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.

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Page Count

281

Publisher

Knopf

Published Date

ISBN 10

0307819825

ISBN 13

9780307819826

Four Lives

A Celebration of Raymond Smullyan

By: Raymond M. Smullyan,Jason Rosenhouse

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Four Lives

A Celebration of Raymond Smullyan

By: Raymond M. Smullyan,Jason Rosenhouse

This 'best of' collection of works by Raymond Smullyan features excerpts from his published writings, including logic puzzles, explorations of mathematical logic and paradoxes, retrograde analysis chess problems, jokes and anecdotes, and meditations on the philosophy of religion. In addition, numerous personal tributes salute this celebrated professor, author, and logic scholar who is also a magician and musician. "--

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Page Count

353

Publisher

Courier Corporation

Published Date

ISBN 10

048649067X

ISBN 13

9780486490670

A Beginner's Further Guide To Mathematical Logic

By: Raymond M Smullyan

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A Beginner's Further Guide To Mathematical Logic

By: Raymond M Smullyan

A wealth of examples to which solutions are given permeate the text so the reader will certainly be active.'The Mathematical GazetteThis is the final book written by the late great puzzle master and logician, Dr. Raymond Smullyan.This book is a sequel to my Beginner's Guide to Mathematical Logic.The previous volume deals with elements of propositional and first-order logic, contains a bit on formal systems and recursion, and concludes with chapters on Gödel's famous incompleteness theorem, along with related results.The present volume begins with a bit more on propositional and first-order logic, followed by what I would call a 'fein' chapter, which simultaneously generalizes some results from recursion theory, first-order arithmetic systems, and what I dub a 'decision machine.' Then come five chapters on formal systems, recursion theory and metamathematical applications in a general setting. The concluding five chapters are on the beautiful subject of combinatory logic, which is not only intriguing in its own right, but has important applications to computer science. Argonne National Laboratory is especially involved in these applications, and I am proud to say that its members have found use for some of my results in combinatory logic.This book does not cover such important subjects as set theory, model theory, proof theory, and modern developments in recursion theory, but the reader, after studying this volume, will be amply prepared for the study of these more advanced topics.

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Page Count

288

Publisher

World Scientific Publishing Company

Published Date

ISBN 10

9814733016

ISBN 13

9789814733014

Alice in Puzzle-land

A Carrollian Tale for Children Under Eighty

By: Raymond M. Smullyan,Martin Gardner,Greer Fitting

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Alice in Puzzle-land

A Carrollian Tale for Children Under Eighty

By: Raymond M. Smullyan,Martin Gardner,Greer Fitting

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.

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Page Count

194

Publisher

Courier Corporation

Published Date

ISBN 10

0486482006

ISBN 13

9780486482002

First-Order Logic

By: Raymond R. Smullyan

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First-Order Logic

By: Raymond R. Smullyan

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).

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Page Count

167

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642867189

ISBN 13

9783642867187

Who Knows?

A Study of Religious Consciousness

By: Raymond M. Smullyan

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Who Knows?

A Study of Religious Consciousness

By: Raymond M. Smullyan

Is there really a God, and if so, what is God actually like? Is there an afterlife, and if so, is there such a thing as eternal punishment for unrepentant sinners, as many orthodox Christians and Muslims believe? And is it really true that our unconscious minds are connected to a higher spiritual reality, and if so, could this higher spiritual reality be the very same thing that religionists call "God"? In his latest book, Raymond M. Smullyan invites the reader to explore some beautiful and some horrible ideas related to religious and mystical thought. In Part One, Smullyan uses the writings on religion by fellow polymath Martin Gardner as the starting point for some inspired ideas about religion and belief. Part Two focuses on the doctrine of Hell and its justification, with Smullyan presenting powerful arguments on both sides of the controversy. "If God asked you to vote on the retention or abolition of Hell," he asks, "how would you vote?" Smullyan has posed this question to many believers and received some surprising answers. In the last part of his treasurable triptych, Smullyan takes up the "beautiful and inspiring" ideas of Richard Bucke and Edward Carpenter on Cosmic Consciousness. Readers will delight in Smullyan's observations on religion and in his clear-eyed presentation of many new and startling ideas about this most wonderful product of human consciousness.

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Page Count

160

Publisher

Indiana University Press

Published Date

ISBN 10

025310968X

ISBN 13

9780253109682

The Godelian Puzzle Book

Puzzles, Paradoxes and Proofs

By: Raymond M. Smullyan

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The Godelian Puzzle Book

Puzzles, Paradoxes and Proofs

By: Raymond M. Smullyan

These recreational logic puzzles provide entertaining variations on Gödel's incompleteness theorems, offering ingenious challenges related to infinity, truth and provability, undecidability, and other concepts. Written by a distinguished mathematician and creator of numerous popular puzzle books, this volume requires no background in formal logic and will delight readers of all ages.

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Page Count

292

Publisher

Courier Corporation

Published Date

ISBN 10

0486497054

ISBN 13

9780486497051

Recursion Theory for Metamathematics

By: Raymond M. Smullyan

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Recursion Theory for Metamathematics

By: Raymond M. Smullyan

This work is a sequel to the author's Gödel's Incompleteness Theorems, though it can be read independently by anyone familiar with Gödel's incompleteness theorem for Peano arithmetic. The book deals mainly with those aspects of recursion theory that have applications to the metamathematics of incompleteness, undecidability, and related topics. It is both an introduction to the theory and a presentation of new results in the field.

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Page Count

180

Publisher

Oxford University Press, USA

Published Date

ISBN 10

019508232X

ISBN 13

9780195082326

This Book Needs No Title

A Budget of Living Paradoxes

By: Raymond Smullyan

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This Book Needs No Title

A Budget of Living Paradoxes

By: Raymond Smullyan

From Simon & Schuster, This Book Needs No Title is Raymond Smullyan's budget of living paradoxes—the author of What is the Name of This Book? Including eighty paradoxes, logical labyrinths, 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.

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Page Count

200

Publisher

Simon and Schuster

Published Date

ISBN 10

0671628313

ISBN 13

9780671628314

First-Order Logic

By: Raymond R. Smullyan

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First-Order Logic

By: Raymond R. Smullyan

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Page Count

167

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642867189

ISBN 13

9783642867187

Four Lives

A Celebration of Raymond Smullyan

By: Raymond M. Smullyan,Jason Rosenhouse

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Four Lives

A Celebration of Raymond Smullyan

By: Raymond M. Smullyan,Jason Rosenhouse

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Page Count

353

Publisher

Courier Corporation

Published Date

ISBN 10

048649067X

ISBN 13

9780486490670

Forever Undecided

By: Raymond M. Smullyan

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Forever Undecided

By: Raymond M. Smullyan

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!

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Page Count

286

Publisher

Knopf

Published Date

ISBN 10

0307962466

ISBN 13

9780307962461

The Chess Mysteries of Sherlock Holmes

Fifty Tantalizing Problems of Chess Detection

By: Raymond M. Smullyan

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The Chess Mysteries of Sherlock Holmes

Fifty Tantalizing Problems of Chess Detection

By: Raymond M. Smullyan

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.

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Page Count

194

Publisher

Courier Corporation

Published Date

ISBN 10

0486482014

ISBN 13

9780486482019

The Riddle of Scheherazade and Other Amazing Puzzles, Ancient & Modern

By: Raymond M. Smullyan

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The Riddle of Scheherazade and Other Amazing Puzzles, Ancient & Modern

By: Raymond M. Smullyan

Contains 225 brainteasers, including logic tricks, number games, paradoxes, puzzles, and other , presented in the form of a nightly riddle presented to the king by Scheherazade of "The Thousand and One Nights.

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Page Count

244

Publisher

Houghton Mifflin Harcourt

Published Date

ISBN 10

0156006065

ISBN 13

9780156006064

A Beginner's Guide to Mathematical Logic

By: Raymond M. Smullyan

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A Beginner's Guide to Mathematical Logic

By: Raymond M. Smullyan

Written by a creative master of mathematical logic, this introductory text combines stories of great philosophers, quotations, and riddles with the fundamentals of mathematical logic. Author Raymond Smullyan offers clear, incremental presentations of difficult logic concepts. He highlights each subject with inventive explanations and unique problems. Smullyan's accessible narrative provides memorable examples of concepts related to proofs, propositional logic and first-order logic, incompleteness theorems, and incompleteness proofs. Additional topics include undecidability, combinatoric logic, and recursion theory. Suitable for undergraduate and graduate courses, this book will also amuse and enlighten mathematically minded readers. Dover (2014) original publication. See every Dover book in print at www.doverpublications.com

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Page Count

292

Publisher

Courier Corporation

Published Date

ISBN 10

0486492370

ISBN 13

9780486492377

Logical Labyrinths

By: Raymond Smullyan

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Logical Labyrinths

By: Raymond Smullyan

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Page Count

332

Publisher

CRC Press

Published Date

ISBN 10

143986537X

ISBN 13

9781439865378

A Beginner's Guide to Mathematical Logic

By: Raymond M. Smullyan

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A Beginner's Guide to Mathematical Logic

By: Raymond M. Smullyan

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.

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292

Publisher

Courier Corporation

Published Date

ISBN 10

0486782972

ISBN 13

9780486782973

Who Knows?

A Study of Religious Consciousness

By: Raymond M. Smullyan

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Who Knows?

A Study of Religious Consciousness

By: Raymond M. Smullyan

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Page Count

160

Publisher

Indiana University Press

Published Date

ISBN 10

025310968X

ISBN 13

9780253109682

Satan, Cantor & Infinity

Mind-boggling Puzzles

By: Raymond M. Smullyan

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Satan, Cantor & Infinity

Mind-boggling Puzzles

By: Raymond M. Smullyan

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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Page Count

290

Publisher

Courier Corporation

Published Date

ISBN 10

0486470369

ISBN 13

9780486470368

To Mock a Mockingbird

And Other Logic Puzzles Including an Amazing Adventure in Combinatory Logic

By: Raymond M. Smullyan

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To Mock a Mockingbird

And Other Logic Puzzles Including an Amazing Adventure in Combinatory Logic

By: Raymond M. Smullyan

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.

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Page Count

258

Publisher

Oxford University Press, USA

Published Date

ISBN 10

0192801422

ISBN 13

9780192801425

Finite Mathematics and Calculus with Applications

By: Margaret L. Lial,Raymond N. Greenwell,Nathan P. Ritchey

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Finite Mathematics and Calculus with Applications

By: Margaret L. Lial,Raymond N. Greenwell,Nathan P. Ritchey

Finite Mathematics and Calculus With Applications was written for the two-semester finite math and applied calculus course for students majoring in a variety of fields business, economics, social science, and biological and physical science. Widely known for incorporating interesting, relevant, and realistic applications, this new edition now offers many more real applications citing current data sources. The new edition now offers more opportunities for use of technology, allowing for increased visualization and a better understanding of difficult concepts. A dedicated Web site rounds out the teaching and learning package, offering extended applications from the book, skill mastery quizzes, and graphing calculator programs tied to the text.

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Page Count

1054

Publisher

Addison Wesley Publishing Company

Published Date

ISBN 10

0321067150

ISBN 13

9780321067159

Alice in Puzzle-land

A Carrollian Tale for Children Under Eighty

By: Raymond M. Smullyan,Greer Fitting

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Alice in Puzzle-land

A Carrollian Tale for Children Under Eighty

By: Raymond M. Smullyan,Greer Fitting

A range of puzzles dealing with word play and logic, mathematics and philosophy, featuring Alice and the creatures of Wonderland.

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Page Count

182

Publisher

Viking Press

Published Date

ISBN 10

0140070567

ISBN 13

9780140070569

Godel's Incompleteness Theorems

By: Raymond M. Smullyan

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Godel's Incompleteness Theorems

By: Raymond M. Smullyan

An introduction to the work of the mathematical logician Kurt Godel, which guides the reader through his Theorem of Undecidability and his theories on the completeness of logic, the incompleteness of numbers and the consistency of the axiom of choice.

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Age

Page Count

139

Published Date

ISBN 10

160129641X

ISBN 13

9781601296412

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