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The Godelian Puzzle Book
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Book Synopsis The Gödelian Puzzle Book by : Raymond M. Smullyan
Download or read book The Gödelian 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.
Book Synopsis Forever Undecided by : Raymond M. Smullyan
Download or read book Forever Undecided written by Raymond M. Smullyan and published by Knopf. This book was released on 2012-07-04 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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!
Book Synopsis Satan, Cantor, And Infinity And Other Mind-bogglin by : Raymond M. Smullyan
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.
Book Synopsis Alice in Puzzle-land by : Raymond M. Smullyan
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.
Book Synopsis The Lady Or the Tiger? by : Raymond M. Smullyan
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.
Book Synopsis Godel's Incompleteness Theorems by : Raymond M. Smullyan
Download or read book Godel's Incompleteness Theorems written by Raymond M. Smullyan and published by Oxford University Press. This book was released on 1992-08-20 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis King Arthur in Search of His Dog and Other Curious Puzzles by : Raymond M. Smullyan
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.
Book Synopsis What is the Name of this Book? by : Raymond M. Smullyan
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.
Book Synopsis Shadows of the Mind by : Roger Penrose
Download or read book Shadows of the Mind written by Roger Penrose and published by Oxford University Press, USA. This book was released on 1994 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the author's thesis that consciousness, in its manifestation in the human quality of understanding, is doing something that mere computation cannot; and attempts to understand how such non-computational action might arise within scientifically comprehensive physical laws.
Book Synopsis To Mock a Mockingbird by : Raymond M. Smullyan
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.
Book Synopsis The Riddle of Scheherazade, and Other Amazing Puzzles, Ancient & Modern by : Raymond M. Smullyan
Download or read book The Riddle of Scheherazade, and Other Amazing Puzzles, Ancient & Modern written by Raymond M. Smullyan and published by Knopf. This book was released on 1997 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In his new book, Raymond Smullyan, grand vizier of the logic puzzlejoins Scheherazade, a charming young woman of "fantastic logical ingenuity", to give us 1001 hours of brain-teasing fun.
Book Synopsis A Beginner's Guide to Mathematical Logic by : Raymond M. Smullyan
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.
Book Synopsis Mathematics and Computation by : Avi Wigderson
Download or read book Mathematics and Computation written by Avi Wigderson and published by Princeton University Press. This book was released on 2019-10-29 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the winner of the Turing Award and the Abel Prize, an introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophy Mathematics and Computation provides a broad, conceptual overview of computational complexity theory—the mathematical study of efficient computation. With important practical applications to computer science and industry, computational complexity theory has evolved into a highly interdisciplinary field, with strong links to most mathematical areas and to a growing number of scientific endeavors. Avi Wigderson takes a sweeping survey of complexity theory, emphasizing the field’s insights and challenges. He explains the ideas and motivations leading to key models, notions, and results. In particular, he looks at algorithms and complexity, computations and proofs, randomness and interaction, quantum and arithmetic computation, and cryptography and learning, all as parts of a cohesive whole with numerous cross-influences. Wigderson illustrates the immense breadth of the field, its beauty and richness, and its diverse and growing interactions with other areas of mathematics. He ends with a comprehensive look at the theory of computation, its methodology and aspirations, and the unique and fundamental ways in which it has shaped and will further shape science, technology, and society. For further reading, an extensive bibliography is provided for all topics covered. Mathematics and Computation is useful for undergraduate and graduate students in mathematics, computer science, and related fields, as well as researchers and teachers in these fields. Many parts require little background, and serve as an invitation to newcomers seeking an introduction to the theory of computation. Comprehensive coverage of computational complexity theory, and beyond High-level, intuitive exposition, which brings conceptual clarity to this central and dynamic scientific discipline Historical accounts of the evolution and motivations of central concepts and models A broad view of the theory of computation's influence on science, technology, and society Extensive bibliography
Book Synopsis Tribute to a Mathemagician by : Barry Cipra
Download or read book Tribute to a Mathemagician written by Barry Cipra and published by CRC Press. This book was released on 2004-11-10 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: The tradition of a publication based on the Gathering for Gardner continues with this new carefully selected and edited collection in which Martin Gardner and friends inspire and entertain. The contributors to this volume---virtually a list of Who's Who in the World of Puzzles---trace their inspiration to Martin Gardner's puzzle column in Scientifi
Book Synopsis Set Theory, Logic and Their Limitations by : Moshe Machover
Download or read book Set Theory, Logic and Their Limitations written by Moshe Machover and published by Cambridge University Press. This book was released on 1996-05-23 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introduction to set theory and logic that starts completely from scratch. The text is accompanied by many methodological remarks and explanations. A rigorous axiomatic presentation of Zermelo-Fraenkel set theory is given, demonstrating how the basic concepts of mathematics have apparently been reduced to set theory. This is followed by a presentation of propositional and first-order logic. Concepts and results of recursion theory are explained in intuitive terms, and the author proves and explains the limitative results of Skolem, Tarski, Church and Gödel (the celebrated incompleteness theorems). For students of mathematics or philosophy this book provides an excellent introduction to logic and set theory.
Book Synopsis The Mathematician's Brain by : David Ruelle
Download or read book The Mathematician's Brain written by David Ruelle and published by Princeton University Press. This book was released on 2007-08-05 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: Examines mathematical ideas and the visionary minds behind them. This book provides an account of celebrated mathematicians and their quirks, oddities, personal tragedies, bad behavior, descents into madness, tragic ends, and the beauty of their mathematical discoveries.
Book Synopsis Proofs Without Words II by : Roger B. Nelsen
Download or read book Proofs Without Words II written by Roger B. Nelsen and published by American Mathematical Soc.. This book was released on 2020-02-22 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: Like its predecessor, Proofs without Words, this book is a collection of pictures or diagrams that help the reader see why a particular mathematical statement may be true and how one could begin to go about proving it. While in some proofs without words an equation or two may appear to help guide that process, the emphasis is clearly on providing visual clues to stimulate mathematical thought. The proofs in this collection are arranged by topic into five chapters: geometry and algebra; trigonometry, calculus and analytic geometry; inequalities; integer sums; and sequences and series. Teachers will find that many of the proofs in this collection are well suited for classroom discussion and for helping students to think visually in mathematics.
