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Hofstadter's great achievement in Gödel, Escher, Bach was making abstruse mathematical topics (like undecidability, recursion, and 'strange loops') accessible and remarkably entertaining. Borrowing a page from Lewis Carroll (who might well have been a fan of this book), each chapter presents dialogue between the Tortoise and Achilles, as well as other characters who dramatize concepts discussed later in more detail. Allusions to Bach's music (centering on his Musical Offering) and Escher's continually paradoxical artwork are plentiful here. This more approachable material lets the author delve into serious number theory (concentrating on the ramifications of Gödel's Theorem of Incompleteness) while stopping along the way to ponder the work of a host of other mathematicians, artists, and thinkers.
The world has moved on since 1979, of course. The book predicted that computers probably won't ever beat humans in chess, though Deep Blue beat Garry Kasparov in 1997. And the vinyl record, which serves for some of Hofstadter's best analogies, is now left to collectors. Sections on recursion and the graphs of certain functions from physics look tantalizing, like the fractals of recent chaos theory. And AI has moved on, of course, with mixed results. Yet Gödel, Escher, Bach remains a remarkable achievement. Its intellectual range and ability to let us visualize difficult mathematical concepts help make it one of this century's best for anyone who's interested in computers and their potential for real intelligence. --Richard Dragan
Topics Covered: J.S. Bach, M.C. Escher, Kurt Gödel: biographical information and work, artificial intelligence (AI) history and theories, strange loops and tangled hierarchies, formal and informal systems, number theory, form in mathematics, figure and ground, consistency, completeness, Euclidean and non-Euclidean geometry, recursive structures, theories of meaning, propositional calculus, typographical number theory, Zen and mathematics, levels of description and computers; theory of mind: neurons, minds and thoughts; undecidability; self-reference and self-representation; Turing test for machine intelligence.
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Godel, Escher, Bach: An Eternal Golden Braid Format: Paperback (ISBN: 0465026567 / 0-465-02656-7) Hofstadter, Douglas R. Quantity Available: > 20
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Godel, Escher, Bach (ISBN: 9780465026562) Hofstadter, Douglas R. Quantity Available: > 20
Book Description: The Perseus Books Group, 1999. Paperback. Book Condition: New. New Book. Shipped from US. Bookseller Inventory # V7-9780465026562 Bookseller & Payment Information | More Books from this Seller | Ask Bookseller a Question |
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Gödel, Escher, Bach: An Eternal Golden Braid (ISBN: 0465026567 / 0-465-02656-7) Hofstadter, Douglas R. Quantity Available: 1
Book Description: Basic Books. PAPERBACK. Book Condition: New. 0465026567 owner's name inside front cover - otherwise a fine clean unread copy - enjoy. Bookseller Inventory # SKU1008623 Bookseller & Payment Information | More Books from this Seller | Ask Bookseller a Question |
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Godel, Escher, Bach: An Eternal Golden Braid (ISBN: 9780465026562) Hofstadter, Douglas R. Quantity Available: 13
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Gödel, Escher, Bach: An Eternal Golden Braid (ISBN: 0465026567 / 0-465-02656-7) Hofstadter, Douglas R. Quantity Available: > 20
Book Description: Basic Books. PAPERBACK. Book Condition: New. 0465026567 An exploration of the patterns and symbols in the thinking of mathematician Kurt Godel, artist M. C. Escher, and composer Johann Sebastian Bach explores the nature of the links between informal systems that underlie all human cognitive activity. Reprint. Bookseller Inventory # 4258907 Bookseller & Payment Information | More Books from this Seller | Ask Bookseller a Question |
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Gödel, Escher, Bach: An Eternal Golden Braid (ISBN: 0465026567 / 0-465-02656-7) Hofstadter, Douglas R. Quantity Available: 16
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Godel, Escher, Bach: An Eternal Golden Braid (Paperback) (ISBN: 0465026567 / 0-465-02656-7) Hofstadter, Douglas R. Quantity Available: 1
Book Description: Paperback. Book Condition: New. 20th. 166mm x 45mm x 236mm. Paperback. Douglas Hofstadter's book is concerned directly with the nature of "maps" or links between formal systems. However, according to Hofstadter, the formal system that underlies.Shipping may be from multiple locations in the US or from the UK, depending on stock availability. 824 pages. 1.089. Bookseller Inventory # 9780465026562 Bookseller & Payment Information | More Books from this Seller | Ask Bookseller a Question |
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Godel, Escher, Bach: An Eternal Golden Braid (Paperback) (ISBN: 9780465026562) Hofstadter, Douglas R. Quantity Available: 10
Book Description: The Perseus Books Group, United States, 1999. Paperback. Book Condition: New. 20th Anniversary ed. 231 x 170 mm. Language: English Brand New Book. Douglas Hofstadter s book is concerned directly with the nature of maps or links between formal systems. However, according to Hofstadter, the formal system that underlies all mental activity transcends the system that supports it. If life can grow out of the formal chemical substrate of the cell, if consciousness can emerge out of a formal system of firing neurons, then so too will computers attain human intelligence. Godel Escher and Bach is a wonderful exploration of fascinating ideas at the heart of cognitive science: meaning, reduction, recursion, and much more. Bookseller Inventory # ABZ9780465026562 Bookseller & Payment Information | More Books from this Seller | Ask Bookseller a Question |
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Gödel, Escher, Bach: An Eternal Golden Braid (ISBN: 0465026567 / 0-465-02656-7) Hofstadter, Douglas R. Quantity Available: 1
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Godel, Escher, Bach: An Eternal Golden Braid (ISBN: 0465026567 / 0-465-02656-7) Hofstadter, Douglas R. Quantity Available: 1
Book Description: Basic Books, 1999. PaperBack. Book Condition: New. (20th-anniversary Edition). Winner of the Pulitzer Prize, the book stands as a brilliant tour-de-force metaphorical fugue on minds and machines in the spirit of Lewis Carroll. While concerned directly with the nature of 'maps' or links between formal systems, author Douglas Hofstadter asserts that the formal system that underlies all mental activity transcends the system that supports it. I.e., if concsciousness can emerge out of a formal system of firing neurons, then so too will computers attain human intelligence! Notes, Bibliography, Index. 152 b&w illus. 777p. Bookseller Inventory # 1749871 Bookseller & Payment Information | More Books from this Seller | Ask Bookseller a Question |