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 : 77. 9 MB
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The Magic Garden Of George B And Other Logic Puzzles

Author : Raymond Smullyan
ISBN : 9789814675079
Genre : Mathematics
File Size : 32. 33 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

The Riddle Of Scheherazade And Other Amazing Puzzles Ancient Modern

Author : Raymond M. Smullyan
ISBN : 0156006065
Genre : Games
File Size : 40. 47 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 : 55. 65 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 : 64. 25 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

The Story Of Numbers

Author : Mallik Asok Kumar
ISBN : 9789813222946
Genre : Juvenile Nonfiction
File Size : 48. 88 MB
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This book is more than a mathematics textbook. It discusses various kinds of numbers and curious interconnections between them. Without getting into hardcore and difficult mathematical technicalities, the book lucidly introduces all kinds of numbers that mathematicians have created. Interesting anecdotes involving great mathematicians and their marvelous creations are included. The reader will get a glimpse of the thought process behind the invention of new mathematics. Starting from natural numbers, the book discusses integers, real numbers, imaginary and complex numbers and some special numbers like quaternions, dual numbers and p-adic numbers. Real numbers include rational, irrational and transcendental numbers. Iterations on real numbers are shown to throw up some unexpected behavior, which has given rise to the new science of "Chaos". Special numbers like e, pi, golden ratio, Euler's constant, Gauss's constant, amongst others, are discussed in great detail. The origin of imaginary numbers and the use of complex numbers constitute the next topic. It is shown why modern mathematics cannot even be imagined without imaginary numbers. Iterations on complex numbers are shown to generate a new mathematical object called 'Fractal', which is ubiquitous in nature. Finally, some very special numbers, not mentioned in the usual textbooks, and their applications, are introduced at an elementary level. The level of mathematics discussed in this book is easily accessible to young adults interested in mathematics, high school students, and adults having some interest in basic mathematics. The book concentrates more on the story than on rigorous mathematics.

Proceedings Of The 12th Asian Logic Conference Wellington New Zealand 15 20 December 2011

Author : Rod G. Downey
ISBN : 9789814449274
Genre : Mathematics
File Size : 30. 83 MB
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The Asian Logic Conference is one of the largest meetings, and this volume represents work presented at, and arising from the 12th meeting. It collects a number of interesting papers from experts in the field. It covers many areas of logic.

The G Delian Puzzle Book

Author : Raymond M. Smullyan
ISBN : 9780486315775
Genre : Mathematics
File Size : 34. 72 MB
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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.

The Moscow Puzzles

Author : Boris A. Kordemsky
ISBN : 9780486270784
Genre : Games
File Size : 30. 69 MB
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A collection of math and logic puzzles features number games, magic squares, tricks, problems with dominoes and dice, and cross sums, in addition to other intellectual teasers.

Everyday Probability And Statistics

Author : Michael Mark Woolfson
ISBN : 9781908977717
Genre : Mathematics
File Size : 60. 34 MB
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Probability and statistics impinge on the life of the average person in a variety of ways — as is suggested by the title of this book. Very often information is provided that is factually accurate but intended to give a biased view. This book presents the important results of probability and statistics without making heavy mathematical demands on the reader. It should enable an intelligent reader to properly assess statistical information and to understand that the same information can be presented in different ways. In this second edition the author presents a new chapter exploring science and society including the way that scientists communicate with the public on current topics, such as global warming. The book also investigates pensions and pension policy, and how they are influenced by changing actuarial tables. Contents:The Nature of ProbabilityCombining ProbabilitiesA Day at the RacesMaking Choices and SelectionsNon-Intuitive Examples of ProbabilityProbability and HealthCombining Probabilities: The Craps Game RevealedThe UK National Lottery, Loaded Dice and Crooked WheelsBlock DiagramsThe Normal (or Gaussian) DistributionStatistics: The Collection and Analysis of Numerical DataThe Poisson Distribution and Death by Horse KicksPredicting Voting PatternsTaking Samples: How Many Fish in the Pond?Differences: Rats and IQsCrime is Increasing and DecreasingMy Uncle Joe Smoked 60 a DayChance, Luck and Making DecisionsScience and SocietyThe Pensions Problem Readership: Undergraduate students in mathematics; general public interested in probability and statistics. Keywords:Probability;StatisticsKey Features:Assumes a modest mathematical backgroundDeals with matters of everyday lifePresents problems and solutions for the reader to test their level of understanding

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