Godelian Puzzle Book (eBook)

Puzzles, Paradoxes and Proofs
eBook Download: EPUB
2013
240 Seiten
Dover Publications (Verlag)
978-0-486-31577-5 (ISBN)

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Godelian Puzzle Book -  Raymond M. Smullyan
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These logic puzzles provide entertaining variations on Gödel's incompleteness theorems, offering ingenious challenges related to infinity, truth and provability, undecidability, and other concepts. No background in formal logic necessary.
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.

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

Erscheint lt. Verlag 21.8.2013
Sprache englisch
Maße 140 x 140 mm
Themenwelt Sachbuch/Ratgeber Freizeit / Hobby Spielen / Raten
Geisteswissenschaften Philosophie Allgemeines / Lexika
Geisteswissenschaften Philosophie Logik
Mathematik / Informatik Mathematik Logik / Mengenlehre
Schlagworte Algebra • ameno • arithmetic • books on algebras • books on arithmetics • books on brain teasers • books on brain-teasers • books on brookfield • books on carroll • books on critical thinkings • books on dells • books on exercises • books on formal logics • books on geometries • books on godel • books on il libros • books on knaves • books on knights • books on kurt • books on logical puzzles • books on logic puzzles • books on magic squares • books on martin gardners • books on mathematical games • books on mathematical puzzles • books on mathematicians • books on mathematics • books on math puzzles • books on paradoxes • books on puzzles • books on recreational maths • books on riddles • books on solutions • books on solving puzzles • books on teorema • books on theorems • books on unique senses • books on wonderlands • brain teaser • brain-teasers • brookfield • Carroll • critical thinking • DEL • dell • Este • Exercises • Formal Logic • Gödel • Geometry • Godel • godel's incompleteness • il libro • incompleteness theorem • increasing difficulty • knaves • Knights • Kurt • kurt g del • logical puzzles • logician • logic puzzles • Looking-Glass • magic squares • martin gardner • Mathematical Games • mathematical prowess • Mathematical Puzzles • mathematical statements • Mathematicians • Mathematics • math puzzles • paradoxes • Puzzles • recreational math • Riddles • Solutions • solve puzzles • solving puzzles • statement implies • Teorema • Theorems • tweedle • Tweedledee • Tweedledum • unique sense • Wonderland
ISBN-10 0-486-31577-0 / 0486315770
ISBN-13 978-0-486-31577-5 / 9780486315775
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