Satan Cantor And Infinity

Author : Raymond M. Smullyan
Publisher : Knopf
Page : 281 pages
File Size : 44,9 Mb
Release : 2012-05-30
Category : Games & Activities
ISBN : 9780307819826

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Satan, Cantor, And Infinity And Other Mind-bogglin by Raymond M. Smullyan Pdf

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.

Author : Raymond M. Smullyan
Publisher : Unknown
Page : 128 pages
File Size : 48,6 Mb
Release : 1994-06-01
Category : Electronic
ISBN : 0517118009

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Satan, Cantor and Infinity by Raymond M. Smullyan Pdf

Author : Raymond Smullyan
Publisher : Unknown
Page : 270 pages
File Size : 51,9 Mb
Release : 1993
Category : Gödel's theorem
ISBN : 0192861611

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Satan, Cantor and Infinity by Raymond Smullyan Pdf

Author : John Stillwell
Publisher : CRC Press
Page : 202 pages
File Size : 53,6 Mb
Release : 2010-07-13
Category : Mathematics
ISBN : 9781439865507

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Roads to Infinity by John Stillwell Pdf

Winner of a CHOICE Outstanding Academic Title Award for 2011!This book offers an introduction to modern ideas about infinity and their implications for mathematics. It unifies ideas from set theory and mathematical logic, and traces their effects on mainstream mathematical topics of today, such as number theory and combinatorics. The treatment is h

Author : Raymond M. Smullyan
Publisher : Courier Corporation
Page : 240 pages
File Size : 52,5 Mb
Release : 2013-08-21
Category : Mathematics
ISBN : 9780486315775

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The Gödelian Puzzle Book by Raymond M. Smullyan Pdf

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.

Author : Raymond M. Smullyan,Martin Gardner,Greer Fitting
Publisher : Courier Corporation
Page : 194 pages
File Size : 44,6 Mb
Release : 2011
Category : Mathematics
ISBN : 9780486482002

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Alice in Puzzle-land by Raymond M. Smullyan,Martin Gardner,Greer Fitting Pdf

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.

Author : Raymond M. Smullyan
Publisher : Oxford University Press, USA
Page : 258 pages
File Size : 48,5 Mb
Release : 2000
Category : Games & Activities
ISBN : 9780192801425

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To Mock a Mockingbird by Raymond M. Smullyan Pdf

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.

Author : Raymond M. Smullyan
Publisher : Courier Corporation
Page : 304 pages
File Size : 43,6 Mb
Release : 2014-03-19
Category : Mathematics
ISBN : 9780486782973

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A Beginner's Guide to Mathematical Logic by Raymond M. Smullyan Pdf

Combining stories of great writers and philosophers with quotations and riddles, this completely original text for first courses in mathematical logic examines problems related to proofs, propositional logic and first-order logic, undecidability, and other topics. 2013 edition.

Author : Raymond M. Smullyan
Publisher : Courier Corporation
Page : 194 pages
File Size : 46,5 Mb
Release : 2012
Category : Mathematics
ISBN : 9780486482019

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The Chess Mysteries of Sherlock Holmes by Raymond M. Smullyan Pdf

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.

Author : Amir D. Aczel
Publisher : Simon and Schuster
Page : 278 pages
File Size : 46,6 Mb
Release : 2001-08-28
Category : Mathematics
ISBN : 9780743422994

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The Mystery of the Aleph by Amir D. Aczel Pdf

A compelling narrative that blends the story of infinity with the tragic tale of a tormented and brilliant mathematician.

Author : Raymond M. Smullyan
Publisher : Courier Corporation
Page : 242 pages
File Size : 40,9 Mb
Release : 2009-01-01
Category : Science
ISBN : 9780486470276

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The Lady Or the Tiger? by Raymond M. Smullyan Pdf

"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.

Author : George Lakoff,Rafael E. Nunez
Publisher : Unknown
Page : 520 pages
File Size : 55,7 Mb
Release : 2000-11-02
Category : Mathematics
ISBN : UOM:39015049551552

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Where Mathematics Come From How The Embodied Mind Brings Mathematics Into Being by George Lakoff,Rafael E. Nunez Pdf

A study of the cognitive science of mathematical ideas.

Author : Raymond M. Smullyan
Publisher : Courier Corporation
Page : 162 pages
File Size : 51,6 Mb
Release : 2010-04-21
Category : Games & Activities
ISBN : 9780486474359

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King Arthur in Search of His Dog and Other Curious Puzzles by Raymond M. Smullyan Pdf

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.

Author : Raymond R. Smullyan
Publisher : Springer Science & Business Media
Page : 167 pages
File Size : 54,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642867187

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First-Order Logic by Raymond R. Smullyan Pdf

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).

Author : Raymond M. Smullyan
Publisher : Dover Math Games & Puzzles
Page : 0 pages
File Size : 44,8 Mb
Release : 2011
Category : Games & Activities
ISBN : 0486481980

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What is the Name of this Book? by Raymond M. Smullyan Pdf

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.