the magic garden of george b and other logic puzzles

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The Magic Garden Of George B And Other Logic Puzzles

Author : Raymond Smullyan
ISBN : 9788876990663
Genre : Mathematics
File Size : 80. 2 MB
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The Magic Garden Of George B And Other Logic Puzzles

Author : Raymond Smullyan
ISBN : 9789814675079
Genre : Mathematics
File Size : 57. 78 MB
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The author 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. Contents:It's All a Question of Logic!:Puzzles or Monkey Tricks?Which Lady?Which Witch?Which Island?McGregor's Arithmetic TricksAsk Eldon WhiteAl, the ChemistSane or Mad?The Strange Case of McSnurdThe Knight-Knave DiseaseHuman or Android?Variable Lying and ParadoxThe Magic Garden:George's GardenSome Neighboring GardensThe Grand Problem Solved!Boolean Gardens and Variable LiarsPropositional Logic and Boolean GardensThe Boolean Theory of SetsBoolean Algebras in GeneralBoolean Gardens RevisitedAnother Grand ProblemGeorge Boole and Mathematical Logic Readership: General public who is interested in logic puzzles, researchers in boolean algebra. Key Features:Dr Smullyan is world renowned for his logic puzzles ... second to noneEverything within the book is developed from scratch. No background in the subject area is necessaryThe puzzles are interconnectedKeywords:Logic;Puzzles;Boolean Algebra

Logical Labyrinths

Author : Raymond Smullyan
ISBN : 9781439865378
Genre : Mathematics
File Size : 27. 71 MB
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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 author introduces the readers to informal reasoning preparing them for the formal study of symbolic logic, from propositional logic to first-order logic, a subject that has many important applications to philosophy, mathematics, and computer science. The book includes a journey through the amazing labyrinths of infinity, which have stirred the imagination of mankind as much, if not more, than any other subject.

Reflections

Author : Raymond M. Smullyan
ISBN : 9814644587
Genre : Biography & Autobiography
File Size : 20. 88 MB
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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.

The Riddle Of Scheherazade And Other Amazing Puzzles Ancient Modern

Author : Raymond M. Smullyan
ISBN : 0156006065
Genre : Games
File Size : 89. 63 MB
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A collection of more than two hundred mindbending puzzles demystifies Scheherazade and the Arabian Nights enigmas and includes logic tricks, number games, true/false paradoxes, and logic puzzles

Meaning Logic And Ludics

Author : Alain Lecomte
ISBN : 9781908978240
Genre : Computers
File Size : 50. 70 MB
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This book presents several recent advances in natural language semantics and explores the boundaries between syntax and semantics over the last two decades. It is based on some of the most recent theories in logic, such as linear logic and ludics, first created by Jean-Yves Girard, and it also provides some sharp analyses of computational semantical representations, explaining advanced theories in theoretical computer sciences, such as the lambda–mu and Lambek–Grishin calculi which were applied by Philippe de Groote and Michael Moortgat. The author also looks at Aarne Ranta's ‘proof as meaning’ approach, which was first based on Martin–Löf's Type Theory. Meaning, Logic and Ludics surveys the many solutions which have been proposed for the syntax–semantics interface, taking into account the specifications of linguistic signs (continuous or discontinuous) and the fundamental mechanisms developed by linguists and notable Generativists. This pioneering publication also presents ludics (in a chapter co-authored with Myriam Quatrini), a framework which allows us to characterize meaning as an invariant with regard to interaction between processes. It is an excellent book for advanced students, and academics alike, in the field of computational linguistics. Contents:Truth-Conditional Meaning:Compositional Approaches and BindingDerivationalismLogic:Deductive SystemsCurry–Howard CorrespondenceProof Theory Applied to Linguistics:Using the Lambek Calculus and Its VariantsGrammatical ReasoningA Type-Theoretical Version of Minimalist GrammarsGrammars in Deductive FormsContinuations and ContextsProofs as MeaningsLudics:Interaction and DialogueThe Future in Conclusion Readership: Graduates, postdoctorates, academics in the computation linguistics/logic/mathematics/bioinformatics and computational biology/genetics fields. Keywords:Natural Language;Semantics;Logic for Language;Ludics and Applications;Continuation Theory;Proof Theory and Natural Language;Linear Logic and ApplicationsKey Features:The first didactic presentation of LudicsThe first applications of Ludics to this topicThe first didactic presentation of the use of continuationsOffers well-supported philosophical viewpoint on topicsReviews:“This book presents a large part of the ongoing research on linguistics and proof theory, as developed by the author and also by some other researchers. The very interesting content, previously unavailable in book form, is made intuitive and pleasant to read. Linguists, who are familiar with the questions but not their formal treatment, will enjoy the book, especially the linguistically oriented explanations on logical systems. Logicians, and especially proof theorists, will be convinced of the relevance of their domain to natural language semantics, and at the same time, they will be offered a gentle introduction to some active topics in linguistic research.”Mathematical Reviews

This Book Needs No Title

Author : Raymond Smullyan
ISBN : 9780671628314
Genre : Games
File Size : 35. 9 MB
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Eighty paradoxes, logical lobyrinths, 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

A Mixed Bag

Author : Raymond M. Smullyan
ISBN : 0986144576
Genre : Logic puzzles
File Size : 41. 4 MB
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Literary Nonfiction. Memoir. Humor. Music. Of all of Raymond Smullyan's many books, A MIXED BAG: JOKES, PUZZLES, RIDDLES AND MEMORABILIA perhaps best captures the timeless delight of the casual conversation of this American polymath. A seamless continuum of jokes, stories, puzzles, and reflections, caught in an deliciously unpremeditated arc that nonetheless is remarkably cohesive, it is sparkling and charming proof that cheerfulness need not be incompatible with intelligence, nor pleasure with wisdom.

Raymond Smullyan On Self Reference

Author : Melvin Fitting
ISBN : 9783319687322
Genre : Philosophy
File Size : 51. 71 MB
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This book collects, for the first time in one volume, contributions honoring Professor Raymond Smullyan’s work on self-reference. It serves not only as a tribute to one of the great thinkers in logic, but also as a celebration of self-reference in general, to be enjoyed by all lovers of this field. Raymond Smullyan, mathematician, philosopher, musician and inventor of logic puzzles, made a lasting impact on the study of mathematical logic; accordingly, this book spans the many personalities through which Professor Smullyan operated, offering extensions and re-evaluations of his academic work on self-reference, applying self-referential logic to art and nature, and lastly, offering new puzzles designed to communicate otherwise esoteric concepts in mathematical logic, in the manner for which Professor Smullyan was so well known. This book is suitable for students, scholars and logicians who are interested in learning more about Raymond Smullyan's work and life.

Four Lives

Author : Raymond M. Smullyan
ISBN : 9780486490670
Genre : Mathematics
File Size : 25. 22 MB
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" 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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