9780465026562

Godel, Escher, Bach: An Eternal Golden Braid

by
  • ISBN13:

    9780465026562

  • ISBN10:

    0465026567

  • Edition: 2nd
  • Format: Paperback
  • Copyright: 2/4/1999
  • Publisher: Perseus Books Group

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Summary

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.

Author Biography

Douglas R. Hofstadter is College Professor of Cognitive Science and Computer Science at Indiana University, Bloomington, Indiana. His previous books are the Pulitzer Prizewinning Gödel, Escher, Bach; Metamagical Themas, The Mind’s I, Fluid Concepts and Creative Analogies, Le Ton Beau de Marot, and Eugene Onegin.

Table of Contents

Overview viii
List of Illustrations
xiv
Words of Thanks xix
Part I: GEB
Introduction: A Musico-Logical Offering
3(30)
Three-Part Invention
29(4)
The MU-Puzzle
33(13)
Two-Part Invention
43(3)
Meaning and Form in Mathematics
46(18)
Sonata for Unaccompanied Achilles
61(3)
Figure and Ground
64(18)
Contracrostipunctus
75(7)
Consistency, Completeness, and Geometry
82(45)
Little Harmonic Labyrinth
103(24)
Recursive Structures and Processes
127(31)
Cannon by Intervallic Augmentation
153(5)
The Location of Meaning
158(23)
Chromatic Fantasy, And Feud
177(4)
The Propositional Calculus
181(23)
Crab Canon
199(5)
Typographical Number Theory
204(42)
A Mu Offering
231(15)
Mumon and Godel
246(39)
Part II: EGB
Prelude ...
275(10)
Levels of Description, and Computer Systems
285(52)
... Ant Fugue
311(26)
Brains and Thoughts
337(32)
English French German Suite
366(3)
Minds and Thoughts
369(37)
Aria with Diverse Variations
391(15)
BlooP and FlooP and GlooP
406(32)
Air on G's String
431(7)
On Formally Undecidable Propositions of TNT and Related Systems
438(27)
Birthday Cantatatata
461(4)
Jumping out of the System
465(30)
Edifying Thoughts of a Tobacco Smoker
480(15)
Self-Ref and Self-Rep
495(64)
The Magnificrab, Indeed
549(10)
Church, Turing, Tarski, and Others
559(35)
SHRDLU, Toy of Man's Designing
586(8)
Artificial Intelligence: Retrospects
594(47)
Contrafactus
633(8)
Artificial Intelligence: Prospects
641(43)
Sloth Canon
681(3)
Strange Loops, Or Tangled Hierarchies
684(59)
Six-Part Ricercar
720(23)
Notes 743(3)
Bibliography 746(11)
Credits 757(2)
Index 759

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