The Gödelian Puzzle Book

Puzzles, Paradoxes and Proofs

Nonfiction, Science & Nature, Mathematics, Logic, Recreations & Games, Religion & Spirituality, Philosophy
Cover of the book The Gödelian Puzzle Book by Raymond M. Smullyan, Dover Publications
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Raymond M. Smullyan ISBN: 9780486315775
Publisher: Dover Publications Publication: August 21, 2013
Imprint: Dover Publications Language: English
Author: Raymond M. Smullyan
ISBN: 9780486315775
Publisher: Dover Publications
Publication: August 21, 2013
Imprint: Dover Publications
Language: English

These brand-new recreational logic puzzles provide entertaining variations on Gödel's incompleteness theorems, offering ingenious challenges related to infinity, truth and provability, undecidability, and other concepts. Created by the celebrated logician Raymond Smullyan, the puzzles require no background in formal logic and will delight readers of all ages.
The two-part selection of puzzles and paradoxes begins with examinations of the nature of infinity and some curious systems related to Gödel's theorem. The first three chapters of Part II contain generalized Gödel theorems. Symbolic logic is deferred until the last three chapters, which give explanations and examples of first-order arithmetic, Peano arithmetic, and a complete proof of Gödel's celebrated result involving statements that cannot be proved or disproved. The book also includes a lively look at decision theory, better known as recursion theory, which plays a vital role in computer science.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

These brand-new recreational logic puzzles provide entertaining variations on Gödel's incompleteness theorems, offering ingenious challenges related to infinity, truth and provability, undecidability, and other concepts. Created by the celebrated logician Raymond Smullyan, the puzzles require no background in formal logic and will delight readers of all ages.
The two-part selection of puzzles and paradoxes begins with examinations of the nature of infinity and some curious systems related to Gödel's theorem. The first three chapters of Part II contain generalized Gödel theorems. Symbolic logic is deferred until the last three chapters, which give explanations and examples of first-order arithmetic, Peano arithmetic, and a complete proof of Gödel's celebrated result involving statements that cannot be proved or disproved. The book also includes a lively look at decision theory, better known as recursion theory, which plays a vital role in computer science.

More books from Dover Publications

Cover of the book Buddhism by Raymond M. Smullyan
Cover of the book Integral, Measure and Derivative by Raymond M. Smullyan
Cover of the book Mexican Painters by Raymond M. Smullyan
Cover of the book Classic American Short Stories by Raymond M. Smullyan
Cover of the book Botchan by Raymond M. Smullyan
Cover of the book Imagist Poetry by Raymond M. Smullyan
Cover of the book Chicago Poems by Raymond M. Smullyan
Cover of the book The Communist Manifesto and Other Revolutionary Writings by Raymond M. Smullyan
Cover of the book Fields of Castile/Campos de Castilla by Raymond M. Smullyan
Cover of the book The Jealous One by Raymond M. Smullyan
Cover of the book Principles of Statistics by Raymond M. Smullyan
Cover of the book Woman in the Nineteenth Century by Raymond M. Smullyan
Cover of the book Early Poems by Raymond M. Smullyan
Cover of the book Illustrated Mission Furniture Catalog, 1912-13 by Raymond M. Smullyan
Cover of the book An Introduction to Acoustics by Raymond M. Smullyan
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy