Reflections

Author: Raymond Smullyan
Publisher: World Scientific
ISBN: 9814644609
Size: 70.60 MB
Format: PDF, ePub
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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. Contents:Early ChildhoodLater ChildhoodHigh SchoolBeginning CollegeUniversity of Chicago, Music, MagicDartmouth, PrincetonAfter GraduationDiagonalization, Love, Logic, a LetterThe Piano SocietyLovely Ladies I Have Known Readership: Music enthusiasts, piano society, math and logic enthusiasts, people interested in magic, people interested in Taoist philosophy, etc. Keywords:Logic;Magic;Mathematics;Gödel;Tarski;Piano Society;JokesReview: “We read of Smullyan's recollections of incidents in his past that support the images of a man who enjoys logic, music, mathematics, puns etc. If you have enjoyed any of Smullyan's books and wish to know more about the author, you will enjoy this breezy set of reflections as well.” Mathematical Association of America

Reflections

Author: Raymond M. Smullyan
Publisher: World Scientific Publishing Company Incorporated
ISBN: 9789814644587
Size: 48.38 MB
Format: PDF, ePub, Mobi
View: 620
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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.

Theory Of Formal Systems Am 47

Author: Raymond M. Smullyan
Publisher: Princeton University Press
ISBN: 1400882001
Size: 27.91 MB
Format: PDF
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This book serves both as a completely self-contained introduction and as an exposition of new results in the field of recursive function theory and its application to formal systems.

Forever Undecided

Author: Raymond M. Smullyan
Publisher: Knopf
ISBN: 0307962466
Size: 28.99 MB
Format: PDF
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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!

The Magic Of Maths

Author: Kjartan Poskitt
Publisher:
ISBN: 9781407147208
Size: 10.91 MB
Format: PDF, ePub
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Murderous Maths: The Magic of Maths is full of incredible tricks to wow children and teachers alike. Brand new for the relaunch of the primary national curriculum in autumn 2014, children can discover how to use the power of maths to beat the calculator, perform amazing card tricks and even read minds! Illustrated by Philip Reeve and presented in a bold, funky and accessible way so children can find out why maths is marvellous, a new generation of Kjartan Poskitt fans will be able to discover the world of MURDEROUS MATHS. Get ready to be amazed!

Math From Three To Seven

Author: Aleksandr Kalmanovich Zvonkin
Publisher: American Mathematical Soc.
ISBN: 082186873X
Size: 65.97 MB
Format: PDF, Kindle
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This book is a captivating account of a professional mathematician's experiences conducting a math circle for preschoolers in his apartment in Moscow in the 1980s. As anyone who has taught or raised young children knows, mathematical education for little kids is a real mystery. What are they capable of? What should they learn first? How hard should they work? Should they even "work" at all? Should we push them, or just let them be? There are no correct answers to these questions, and the author deals with them in classic math-circle style: he doesn't ask and then answer a question, but shows us a problem--be it mathematical or pedagogical--and describes to us what happened. His book is a narrative about what he did, what he tried, what worked, what failed, but most important, what the kids experienced. This book does not purport to show you how to create precocious high achievers. It is just one person's story about things he tried with a half-dozen young children. Mathematicians, psychologists, educators, parents, and everybody interested in the intellectual development in young children will find this book to be an invaluable, inspiring resource. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession. Titles in this series are co-published with the Mathematical Sciences Research Institute (MSRI).

The Mind S I

Author: Douglas R. Hofstadter
Publisher: Basic Books (AZ)
ISBN: 9780465030910
Size: 21.46 MB
Format: PDF
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Essays from some of the 20th century's greatest thinkers explore topics as diverse as artificial intelligence, evolution, science fiction, philosophy, reductionism, and consciousness, presenting a variety of conflicting visions of the self and the soul. Illustrations.

The Riddle Of Scheherazade

Author: Raymond M. Smullyan
Publisher: Knopf
ISBN: 0307819833
Size: 73.66 MB
Format: PDF, Mobi
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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.

The G Delian Puzzle Book

Author: Raymond M. Smullyan
Publisher: Courier Corporation
ISBN: 0486315770
Size: 34.29 MB
Format: PDF, Docs
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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.