I Am a Strange Loop by Douglas R. Hofstadter
£14.99
|
Flatland: A Romance of Many Dimensions (Dover Thrift): A Romance of Many Dimensions by Edwin Abbott
£1.32
|
Godel's Proof by Douglas R. Hofstadter
£12.95
|
The Mind's I: Fantasies and Reflections on Self and Soul (Penguin Press Science) by Douglas R. Hofstadter |
The Road to Reality: A Complete Guide to the Laws of the Universe by Roger Penrose
£10.50
|
Product details
Would you like to update product info or give feedback on images? (We'll ask you to sign in so we can get back to you)
|
Hofstadter's great achievement in Gödel, Escher, Bach was making abstruse mathematical topics (such as 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 dramatise concepts discussed later in more detail. Allusions to Bach's music (centring 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 tantalising, 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 visualise 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
Synopsis
'What is a self, and how can a self come out of inaminate matter?' This is the riddle that drove Hofstadter to write this extraordinary book. Linking together the music of J.S. Bach, the graphic art of Escher and the mathematical theorems of Godel, as well as ideas drawn from logic, biology, psychology, physics and linguistics, Douglas Hofstadter illuminates one of the greatest mysteries of modern science: the nature of human thought processes. 'Every few decades an unknown author brings outa 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.
I Am a Strange Loop by Douglas R. Hofstadter
£14.99
|
Godel's Proof by Douglas R. Hofstadter
£12.95
|
Gödel, Escher, Bach ein Endloses Geflochtenes Band. by Douglas R. Hofstadter |
Flatland: A Romance of Many Dimensions (Dover Thrift): A Romance of Many Dimensions by Edwin Abbott
£1.32
|
Incompleteness: The Proof and Paradox of Kurt Godel (Great Discoveries) by R Goldstein
£7.04
|
|
Share your thoughts with other customers:
|
|||||||
Most Helpful Customer Reviews
|