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-1 DOUGLAS R. HOFSTA DTER |
godel,escher,bach |
I ANETERNALGOLDEN BRAID |
■): i |
A METAPHORIC'AL FUGL E ON MIN DS A N E> M AC HIN ES |
, IN THE SPIRIT OF LEWIS CARROLL |
Contents |
Overview viii |
List of Illustrations xiv |
Words of Thanks xix |
Part I: GEB |
Introduction: A Musico-Logical Offering 3 |
Three-Part Invention 29 |
Chapter I: The MU-puzzle 33 |
Two-Part Invention 43 |
Chapter II: Meaning and Form in Mathematics 46 |
Sonata for Unaccompanied Achilles 61 |
Chapter III: Figure and Ground 64 |
Contracrostipunctus 75 |
Chapter IV: Consistency, Completeness, and Geometry 82 |
Little Harmonic Labyrinth 103 |
Chapter V: Recursive Structures and Processes 127 |
Canon by Intervallic Augmentation 153 |
Chapter VI: The Location of Meaning 158 |
Chromatic Fantasy, And Feud 177 |
Chapter VII: The Propositional Calculus 181 |
Crab Canon 199 |
Chapter VIII: Typographical Number Theory 204 |
A Mu Offering 231 |
Chapter IX: Mum on and Godel 246 |
Contents |
VI |
Part II EGB |
Prelude ... 275 |
Chapter X: Levels of Description, and Computer Systems 285 |
Ant Fugue 311 |
Chapter XI: Brains and Thoughts 337 |
English French German Suit 366 |
Chapter XII: Minds and Thoughts 369 |
Aria with Diverse Variations 391 |
Chapter XIII: BlooP and FlooP and GlooP 406 |
Air on G's String 431 |
Chapter XIV: On Formally Undecidable Propositions of TNT |
and Related Systems 438 |
B irthday Cantatatata ... 461 |
Chapter XV: Jumping out of the System 465 |
Edifying Thoughts of a Tobacco Smoker 480 |