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