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Description edit see section history

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... read more

Characters/People edit see section history

  • Godel Escher Bach: Add a description of this character.
  • Achilles
  • M. C. Escher: Graphic artist know for his "regular divisions of the plane" and other mathematically interesting works of art.
  • Mr. Crab: A crab who is a character in several of the dialogues of the book.
  • Mr. Tortoise: The central character, together with Achilles, in many of the dialogues of the book.
  • Dr. Tony Earrwig: An AI specialist in one of the dialogues; based on Terry Winograd.
  • Charles Babbage: The builder of the first programmable computer, the Analytic Engine, in the nineteenth century. He appears in the final dialogue of the book.
  • Lucas: A (real) philosopher who uses Gödel and related thinkers as an argument against the possibility of Artificial Intelligence actually approaching human levels. Hofstadter argues against his interpretation.
  • M. Bongard: A scientist studying pattern recognition. His work is referred to in one chapter of the book, which features examples of "Bongard puzzles".
  • Aunt Hillary: A "character" in one of the dialogues.
  • Mumon: Zen Buddhist figure who is referred to in the book.
  • Zeno: The 5th century BC Greek philosopher Zeno of Eleas, famous for his paradoxes, especially involving Achilles and the Tortoise.
  • Henkin: A mathematician who discovered Henkin sentences, which are sort of an opposite to the Gödel sentences.
  • J. S. Bach: The baroque composer, referred to throughout the book.
  • Samuel: AI investigator known for a checker playing program.
  • Frederick The Great: King of Prussia for whom Bach wrote the Musical Offering.
  • Palindromi: Character in one of the dialogues, a football player.
  • Lewis Carroll: Author of Alice in Wonderland and Through the Looking Glass; a mathematician and logician interested in many of the same questions as Hofstadter, who invented a famous paradox also using the characters of Achilles and the Tortoise.
  • Rene Magritte: Artist referred to in the last chapter.
  • Dr. Anteater: Character in the dialogue with Aunt Hillary.
  • Giuseppe Peano: Late nineteenth century mathematician who axiomatized the natural number system based on five axioms, the Peano Postulates.
  • Alan Turing: Computer theoretician, known for the Turing Theorem and the Turing test.
  • Ramanujan: Indian mathematician in the early twentieth century.
  • Bertrand Russell: British philosopher and mathematician; coauthor with Alfred North Whitehead of the Principia Mathematica, an ambitious attempt to reduce mathematics to logic and set theory.
  • Nansen
  • Tarski: Polish logician, known among other things for the "semantic theory of truth".
  • Terry Winograd: Scientist in the field of Artificial Intelligence
  • Hilbert: Mathematician who axiomatized geometry, also known for Hilbert spaces.
  • Tedzilliger
  • Alfred North Whitehead: Philosopher, coauthor of Principia Mathematica
  • Lashley
  • Margie
  • Salviati
  • Willard Van Orman Quine: American logician referred to in discussion of Gödel's theorem.
  • John Cage: Musician known for avant-garde and aleatoric music.
  • Haynes
  • Gutei
  • Bodhidharma: Founder of Zen Buddhism
  • Vinogradov
  • Egbert
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Quotes edit see section history

  • “Relying on words to lead you to the truth is like relying on an incomplete formal system to lead you to the truth. A formal system will give you some truths, but as we shall soon see, a formal system, no matter how powerful—cannot lead to all truths.”

First Sentence edit see section history

FREDERICK THE GREAT, King of Prussia, came to power in 1740.

Table of Contents edit see section history

Part. I: GEB
Introduction: A Musico-Logical Offering
Three-Part Invention
Chapter I: The MU-puzzle
Two-Part Invention
Chapter II: Meaning and Form in Mathematics
Sonata for Unaccompanied Achilles
Chapter III: Figure and Ground
Contracrostipunctus
Chapter IV: Consistency, Completeness, and Geometry
Little Harmonic Labyrinth
Chapter V: Recursive Structures and Processes
Canon by Intervallic Augmentation
Chapter VI: The Location of Meaning
Chromatic Fantasy, And Feud
Chapter VII: The Propositional Calculus
Crab Canon
Chapter VIII: Typographical Number Theory
A Mu Offering
Chapter IX: Mumon and Gödel

Part II: EGB
Prelude ...
Chapter X: Levels of Description, and Computer Systems
... Ant Fugue
Chapter XI: Brains and Thoughts
English French German Suite
Chapter XII: Minds and Thoughts
Aria with Diverse Variations
Chapter XIII: BlooP and FlooP and GlooP
Air on G's String
Chapter XIV: On Formally Undecidable Propositions of TNT and Related Systems
Birthday Cantatatata ...
Chapter XV: Jumping out of the System
Edifying Thoughts of a Tobacco Smoker
Chapter XVI: Self-Ref and Self-Rep
The Magnificrab, Indeed
Chapter XVII: Church, Turing, Tarski, and Others
SHRDLU, Toy of Man's Designing
Chapter XVIII: Artificial Intelligence: Retrospects
Contrafactus
Chapter XIX: Artificial Intelligence: Prospects
Sloth Canon
Chapter XX: Strange Loops, Or Tangled Hierarchies
Six-Part Ricercar

Notes
Bibliography
Credits
Index

Series & Lists edit see section history

This book is in TIME Magazine's All-TIME 100 Best Nonfiction Books. (authoritative list)
This book is in Joel On Software Reading List. (community list)

Authors & Contributors edit see section history

  1. Douglas R. Hofstadter (Author)

Other Contributors:

  1. Jan Wahlén (Translator) - Translation into Swedish.

First Edition edit see section history

Original Language: English
Publisher: Add the publisher.
Country: Add the country of publication.
Publication Date: 1979
ISBN: Add the ISBN.
Page Count: Add the page count.

Awards edit see section history

Classification edit see section history

Movie Connections edit see section history

  • Inception (IMDb): Composer Hans Zimmer said he read "Gödel, Escher, Bach: An Eternal Golden Braid" and used it as an inspiration before writing the score for Inception.

Books with Additional Background Information edit see section history

   
  • Gödel's proof,

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