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. Gödel Escher and Bach is a wonderful exploration of fascinating ideas at the heart of cognitive science: meaning, reduction, recursion, and much more.
Twenty years after it topped the bestseller charts, Douglas R. Hofstadter's Gödel, 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 Gödel. 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 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.
Customer Reviews:
Avg. Customer Rating: 4.5 / 5.0
Wrong Language The book was fine, I guess. Except it was in Spanish instead of English. I'd like to return it and get the English version.
Not my kind of philosophy This book is boring. It doesn't really tell you anything, kind of "all form, no substance". A cloud of a book. I approached it a few times in the past, seeing it on top of many bestseller charts, but each time got scared away by apparent lack of clarity - when you open this book at random, you always face something unexpected - math, music, art, insects, human brains, DNA, viruses, zen, artificial intelligence, talking turtles, you name it, and always in different form. Anyway, I thought to myself... more info
Computer Science Godel, Escher and Bach, written by Douglas Hofstadter, while the title would suggest it is discussion of a mathematician, an artist, and a composer, is a complex examination of how human beings develop perception and meaning. More specifically, the book explores, through a series of dialogues and narrations, how symbols, thought and language are all intertwined and how reality is essentially a composition of overlapping meanings and perceptions. The book challenges the reader to observe the system of... more info
An Incredible Intellectual Romp Early this summer at a computer programming conference I found myself with a group of programmers of different ages and nationalities. The one thing we all had in common is that we'd read this book while in high school or college and found it fascinating. For some of us the book was life changing. Most of us rediscovered a love of math that our high school education had nearly destroyed. Many of us became programmers because of it. The book may seem to be dated in some respects after 20 plus years, but on... more info
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