Logic in Games

Logic in Games PDF

Author: Johan Van Benthem

Publisher: MIT Press

Published: 2014-01-24

Total Pages: 567

ISBN-13: 0262019906

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A comprehensive examination of the interfaces of logic, computer science, and game theory, drawing on twenty years of research on logic and games. This book draws on ideas from philosophical logic, computational logic, multi-agent systems, and game theory to offer a comprehensive account of logic and games viewed in two complementary ways. It examines the logic of games: the development of sophisticated modern dynamic logics that model information flow, communication, and interactive structures in games. It also examines logic as games: the idea that logical activities of reasoning and many related tasks can be viewed in the form of games. In doing so, the book takes up the “intelligent interaction” of agents engaging in competitive or cooperative activities and examines the patterns of strategic behavior that arise. It develops modern logical systems that can analyze information-driven changes in players' knowledge and beliefs, and introduces the “Theory of Play” that emerges from the combination of logic and game theory. This results in a new view of logic itself as an interactive rational activity based on reasoning, perception, and communication that has particular relevance for games. Logic in Games, based on a course taught by the author at Stanford University, the University of Amsterdam, and elsewhere, can be used in advanced seminars and as a resource for researchers.

Games for Your Mind

Games for Your Mind PDF

Author: Jason Rosenhouse

Publisher: Princeton University Press

Published: 2022-09-27

Total Pages: 348

ISBN-13: 069124202X

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A lively and engaging look at logic puzzles and their role in mathematics, philosophy, and recreation Logic puzzles were first introduced to the public by Lewis Carroll in the late nineteenth century and have been popular ever since. Games like Sudoku and Mastermind are fun and engrossing recreational activities, but they also share deep foundations in mathematical logic and are worthy of serious intellectual inquiry. Games for Your Mind explores the history and future of logic puzzles while enabling you to test your skill against a variety of puzzles yourself. In this informative and entertaining book, Jason Rosenhouse begins by introducing readers to logic and logic puzzles and goes on to reveal the rich history of these puzzles. He shows how Carroll's puzzles presented Aristotelian logic as a game for children, yet also informed his scholarly work on logic. He reveals how another pioneer of logic puzzles, Raymond Smullyan, drew on classic puzzles about liars and truthtellers to illustrate Kurt Gödel's theorems and illuminate profound questions in mathematical logic. Rosenhouse then presents a new vision for the future of logic puzzles based on nonclassical logic, which is used today in computer science and automated reasoning to manipulate large and sometimes contradictory sets of data. Featuring a wealth of sample puzzles ranging from simple to extremely challenging, this lively and engaging book brings together many of the most ingenious puzzles ever devised, including the "Hardest Logic Puzzle Ever," metapuzzles, paradoxes, and the logic puzzles in detective stories.

The Game of Logic

The Game of Logic PDF

Author: Lewis Carroll

Publisher: BoD – Books on Demand

Published: 2018-09-20

Total Pages: 70

ISBN-13: 3734015650

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Reproduction of the original: The Game of Logic by Lewis Carroll

The Game of Logic (1887) by Lewis Carroll (Original Version)

The Game of Logic (1887) by Lewis Carroll (Original Version) PDF

Author: Lewis Lewis Carroll

Publisher: Createspace Independent Publishing Platform

Published: 2016-01-08

Total Pages: 108

ISBN-13: 9781523311514

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This Game requires nine Counters--four of one colour and five of another: say four red and five grey. Besides the nine Counters, it also requires one Player, AT LEAST. I am not aware of any Game that can be played with LESS than this number: while there are several that require MORE: take Cricket, for instance, which requires twenty-two. How much easier it is, when you want to play a Game, to find ONE Player than twenty-two. At the same time, though one Player is enough, a good deal more amusement may be got by two working at it together, and correcting each other's mistakes. A second advantage, possessed by this Game, is that, besides being an endless source of amusement (the number of arguments, that may be worked by it, being infinite), it will give the Players a little instruction as well. But is there any great harm in THAT, so long as you get plenty of amusement

Math and Logic Games

Math and Logic Games PDF

Author: Franco Agostini

Publisher: Harper Perennial

Published: 1986

Total Pages: 188

ISBN-13: 9780060970215

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A collection of games, tricks, and puzzles using mathematical concerns and knowledge.

The Game of Logic by Lewis Carroll

The Game of Logic by Lewis Carroll PDF

Author: Lewis Carroll

Publisher:

Published: 2018-03-31

Total Pages: 162

ISBN-13: 9781986966948

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The Game of Logic is a book written by Lewis Carroll, published in 1886. In addition to his well-known children's literature, Carroll was an academic mathematician who worked in mathematical logic. The book describes, in an informal and playful style, the use of a board game to represent logical propositions and inferences. Carroll incorporated the game into a longer and more formal introductory logic textbook titled Symbolic Logic, published in 1897. The books are sometimes reprinted in a single volume.

Lewis Carroll's Games and Puzzles

Lewis Carroll's Games and Puzzles PDF

Author: Lewis Carroll

Publisher: Courier Corporation

Published: 1992-03-27

Total Pages: 100

ISBN-13: 9780486269221

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Forty-two perplexing puzzles by creator of Alice in Wonderland: Cakes in a Row, Looking-Glass Time, Arithmetical Croquet, Diverse Doublets, and others. Hints, solutions. Illustrations by John Tenniel.

Symbolic Logic and the Game of Logic

Symbolic Logic and the Game of Logic PDF

Author: Lewis Carroll

Publisher: Read Books Ltd

Published: 2013-04-16

Total Pages: 374

ISBN-13: 144748066X

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Lewis Carroll the author of the world famous Alice in Wonderland is well known even today for his fiction, but his tenure as professor of mathematics at Oxford university is less well known as is his love of logic problems. Carroll was a mathematician at heart; he deeply loved and was fascinated by the subject. At first it may seem odd that a creator of such nonsensical writings would have such an interest in this area, although the logic involved in maths appealed to the very clever mind of Dodgson, and logical oddities are at the root of a lot of the wit in the Alice books.