Authors: Douglas R. Hofstadter
ISBN-13: 9780465026562, ISBN-10: 0465026567
Format: Paperback
Publisher: Basic Books
Date Published: February 1999
Edition: 20th Anniversary Edition
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.
G(del, Escher, Bach is a Pulitzer Prizewinning treatise exploring patterns and symbols in the thinking of mathematician Kurt G(del, artist M. C. Escher and composer Johann Sebastian Bach. A groundbreaking book that has set the standard for interdisciplinary writing. A book every thinking reader must have.
...a major literary event. -- Scientific American
Overview | ||
List of Illustrations | ||
Words of Thanks | ||
Pt. I | GEB | |
Introduction: A Musico-Logical Offering | 3 | |
Three-Part Invention | 29 | |
Ch. I | The MU-puzzle | 33 |
Two-Part Invention | 43 | |
Ch. II | Meaning and Form in Mathematics | 46 |
Sonata for Unaccompanied Achilles | 61 | |
Ch. III | Figure and Ground | 64 |
Contracrostipunctus | 75 | |
Ch. IV | Consistency, Completeness, and Geometry | 82 |
Little Harmonic Labyrinth | 103 | |
Ch. V | Recursive Structures and Processes | 127 |
Canon by Intervallic Augmentation | 153 | |
Ch. VI | The Location of Meaning | 158 |
Chromatic Fantasy, And Feud | 177 | |
Ch. VII | The Propositional Calculus | 181 |
Crab Canon | 199 | |
Ch. VIII | Typographical Number Theory | 204 |
A Mu Offering | 231 | |
Ch. IX | Mumon and Godel | 246 |
Pt. II | EGB | |
Prelude ... | 275 | |
Ch. X | Levels of Description, and Computer Systems | 285 |
... Ant Fugue | 311 | |
Ch. XI | Brains and Thoughts | 337 |
English French German Suite | 366 | |
Ch. XII | Minds and Thoughts | 369 |
Aria with Diverse Variations | 391 | |
Ch. XIII | BlooP and FlooP and GlooP | 406 |
Air on G's String | 431 | |
Ch. XIV | On Formally Undecidable Propositions of TNT and Related Systems | 438 |
Birthday Cantatatata ... | 461 | |
Ch. XV | Jumping out of the System | 465 |
Edifying Thoughts of a Tobacco Smoker | 480 | |
Ch. XVI | Self-Ref and Self-Rep | 495 |
The Magnificrab, Indeed | 549 | |
Ch. XVII | Church, Turing, Tarski, and Others | 559 |
SHRDLU, Toy of Man's Designing | 586 | |
Ch. XVIII | Artificial Intelligence: Retrospects | 594 |
Contrafactus | 633 | |
Ch. XIX | Artificial Intelligence: Prospects | 641 |
Sloth Canon | 681 | |
Ch. XX | Strange Loops, Or Tangled Hierarchies | 684 |
Six-Part Ricercar | 720 | |
Notes | 743 | |
Bibliography | 746 | |
Credits | 757 | |
Index | 759 |