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Home > Lifestyle, Hobbies and Home > Hobbies, quizzes and games > Puzzles and quizzes > The Gödelian Puzzle Book: Puzzles, Paradoxes and Proofs
The Gödelian Puzzle Book: Puzzles, Paradoxes and Proofs

The Gödelian Puzzle Book: Puzzles, Paradoxes and Proofs


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About the Book

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

Table of Contents:
Part I Puzzles, Paradoxes, Infinity and other Curiosities I A Chatty Personal Introduction II Some Curious Adventures III The Strange Island of Musica IV Four Metapuzzles V Certified Knights and Knaves VI Paradoxical? VII Infinity and Induction VIII Introducing Self-Reference IX Fixed Point Puzzles X Some Curious Systems XI How to Stump a Decision Machine XII Some Additional Godelian Puzzles Part II XIII Truth and Provability XIV Syntactic Incompleteness Theorems XV Provability in Stages XVI Formal Systems and Recursion XVII Incompleteness and Undecidability XVIII First-Order Arithmetic XIX Arithmetic Truth is Not Formalizable XX The Incompleteness of Peano Arithmetic References

About the Author :
Raymond Smullyan received his PhD from Princeton University and has taught at Dartmouth, Princeton, Indiana University, and New York's Lehman College. Best known for his mathematical and creative logic puzzles and games, he is also a concert pianist and a magician. He is the author of over a dozen books of logic puzzles and texts on mathematical logic.


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Product Details
  • ISBN-13: 9780486497051
  • Publisher: Dover Publications Inc.
  • Publisher Imprint: Dover Publications Inc.
  • Height: 216 mm
  • No of Pages: 288
  • Spine Width: 17 mm
  • Weight: 345 gr
  • ISBN-10: 0486497054
  • Publisher Date: 30 Sep 2013
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Sub Title: Puzzles, Paradoxes and Proofs
  • Width: 137 mm


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