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The Gödelian Puzzle Book: Puzzles, Paradoxes and Proofs
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The Gödelian Puzzle Book: Puzzles, Paradoxes and Proofs Paperback - 2013

by Smullyan, Raymond M


From the publisher

These brand-new recreational logic puzzles provide entertaining variations on Gdel'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 Gdel's theorem. The first three chapters of Part II contain generalized Gdel 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 Gdel'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.

Details

  • Title The Gödelian Puzzle Book: Puzzles, Paradoxes and Proofs
  • Author Smullyan, Raymond M
  • Binding Paperback
  • Pages 267
  • Language ENG
  • Publisher Dover Publications
  • Date 2013-09
  • ISBN 9780486497051

About the author

Raymond Smullyan received his PhD from Princeton University and taught at Dartmouth, Princeton, Indiana University, and New York's Lehman College. Best known for his mathematical and creative logic puzzles and games, he was also a concert pianist and a magician. He wrote over a dozen books of logic puzzles and texts on mathematical logic. Raymond Smullyan: The Merry Prankster
Raymond Smullyan (1919-2017), mathematician, logician, magician, creator of extraordinary puzzles, philosopher, pianist, and man of many parts. The first Dover book by Raymond Smullyan was First-Order Logic (1995). Recent years have brought a number of his magical books of logic and math puzzles: The Lady or the Tiger (2009); Satan, Cantor and Infinity (2009); an original, never-before-published collection, King Arthur in Search of His Dog and Other Curious Puzzles (2010); and Set Theory and the Continuum Problem (with Melvin Fitting, also reprinted by Dover in 2010). More will be coming in subsequent years.

In the Author's Own Words:

"Recently, someone asked me if I believed in astrology. He seemed somewhat puzzled when I explained that the reason I don't is that I'm a Gemini."

"Some people are always critical of vague statements. I tend rather to be critical of precise statements: they are the only ones which can correctly be labeled 'wrong.'" -- Raymond Smullyan

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The Gdelian Puzzle Book: Puzzles, Paradoxes and Proofs (Dover Math Games & Puzzles)
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