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Games for Your Mind

The History and Future of Logic Puzzles

Jason Rosenhouse

EPUB
ca. 28,99
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Princeton University Press img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Mathematik

Beschreibung

A lively and engaging look at logic puzzles and their role in recreation, mathematics, and philosophy

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.

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Schlagwörter

Deductive reasoning, Inference, Inductive reasoning, Thought, Paradox, Inquiry, Zadig, Mathematical logic, Mathematics, Quantity, Result, Three-valued logic, Categorical proposition, Rule of inference, Truth value, Formal language, Principle of bivalence, Classical logic, Syllogism, Propositional calculus, Consequent, Proof by contradiction, Asymmetry, Kyrgyzstan, Logical consequence, Short story, Natural number, Axiom, Premise, Understanding, Philosophy, Negation, Vagueness, Contradiction, Principle, Aristotle, Diagram, Dialetheism, Relevance, Lewis Carroll, Dushanbe, Peano axioms, Port-Royal Logic, Proposition, Bertrand Russell, Instance (computer science), Natural language, Truth table, Liar paradox, Concept, Knights and Knaves, Linear algebra, Fiction, The Philosopher, Diagram (category theory), Ambiguity, Theory, Falsity, Scientist, Probability, Self-reference, Prosecutor, Mathematician, Consistency, Logical connective, Minutiae, Instrumentalism, Modus ponens, Textbook, Middle term, Raymond Smullyan, Reason, Explanation, Gödel's incompleteness theorems, Addition, Analogy, Geometry, Logical reasoning, The Principles of Mathematics, Law of noncontradiction, Obversion, Notation, Predicate (mathematical logic), Prose, Logical disjunction, Narrative, Theorem, Formal system, Arithmetic, Certainty, Logic, Logical form, Philosopher, Writing, Literature, Zeno's paradoxes, Square of opposition, Term logic, Coercive logic, Premises