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GÃdel, Escher,

Bach: An Eternal

Golden Braid

Description

Amazon.com Twenty years after it topped the bestseller charts, Douglas R. Hofstadter's GÃdel,

Escher, Bach: An Eternal Golden Braid is still something of a marvel. Besides being a profound

and entertaining meditation on human thought and creativity, this book looks at the surprising

points of contact between the music of Bach, the artwork of Escher, and the mathematics of

GÃdel. It also looks at the prospects for computers and artificial intelligence (AI) for mimicking

human thought. For the general reader and the computer techie alike, this book still sets a

standard for thinking about the future of computers and their relation to the way we think.

Hofstadter's great achievement in GÃdel, 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

GÃdel'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 GÃdel, 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 GÃdel: 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. Read more Winner of the Pulitzer Prize in

General Nonfiction Winner of the National Book Award in Science 'Every few decades an unknown

author brings out a book of such depth, clarity, range, wit, beauty and originality that it is


recognized at once as a major literary event. This is such a work.' --- Martin Gardner, Scientific

American 'In some ways, Godel, Escher, Bach is an entire humanistic education between the

covers of a single book. So, for my next visit to a desert island, give me sun, sand, water and

GEB, and I'll live happily ever after.' --- John L. Casti, Nature 'A brilliant, creative, and very

personal synthesis without precedent or peer in modern literature.' --- The American Mathematical

Monthly 'I have never seen anything quite like this book. It has a youthful vitality and a wonderful

brilliance, and I think that it may become something of a classic.' --- Jeremy Bernstein 'A huge,

sprawling literary marvel, a philosophy book disguised as a book of entertainment disguised as a

book of instruction.' --- Atlanta Journal-Constitution 'A triumph of cleverness, bravura

performance.' --- Parabola 'A wondrous book that unites and explains, in a very entertaining way,

many of the important ideas of recent intellectual history.' --- Commonweal 'Godel, Escher, Bach

was a triumphantly successful presentation of quite difficult concepts for a popular audience.

There has been nothing like it in computer science before or since.' --- Ernest Davis, IEEE Expert

Read more See all Editorial Reviews

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