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Preface to GEB's Twentieth-anniversary Edition
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P-1 |
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Overview
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viii |
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List of Illustrations
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xiv |
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Words of Thanks
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xix |
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Part I
GEB
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Introduction: A Musico-Logical Offering
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3 |
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Three-Part Invention
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29 |
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Chapter I
The MU-puzzle
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33 |
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Two-Part Invention
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43 |
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Chapter II
Meaning and Form in Mathematics
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46 |
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Sonata for Unaccompanied Achilles
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61 |
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Chapter III
Figure and Ground
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64 |
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Contracrostipunctus
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75 |
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Chapter IV
Consistency, Completeness, and Geometry
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82 |
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Little Harmonic Labyrinth
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103 |
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Chapter V
Recursive Structures and Processes
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127 |
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Canon by Intervallic Augmentation
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153 |
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Chapter VI
The Location of Meaning
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158 |
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Chromatic Fantasy, And Feud
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177 |
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Chapter VII
The Propositional Calculus
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181 |
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Crab Canon
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199 |
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Chapter VIII
Typographical Number Theory
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204 |
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A Mu Offering
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231 |
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Chapter IX
Mumon and Godel
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246 |
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Part II
EGB
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275 |
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Prelude ...
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285 |
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Chapter X
Levels of Description, and Computer Systems
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285 |
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... Ant Fugue
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311 |
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Chapter XI
Brains and Thoughts
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337 |
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English French German Suite
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366 |
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Chapter XII
Minds and Thoughts
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369 |
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Aria with Diverse Variations
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391 |
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Chapter XIII
BlooP and FlooP and GlooP
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406 |
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Air on G's String
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431 |
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Chapter XIV
On Formally Undecidable Propositions of TNT and Related Systems
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438 |
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Birthday Cantatatata ...
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461 |
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Chapter XV
Jumping out of the System
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465 |
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Edifying Thoughts of a Tobacco Smoker
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480 |
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Chapter XVI
Self-Ref and Self-Rep
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495 |
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The Magnificrab, Indeed
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549 |
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Chapter XVII
Church, Turing, Tarski, and Others
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559 |
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Shrdlu, Toy of Man's Designing
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586 |
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Chapter XVIII
Artificial Intelligence: Retrospects
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594 |
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Contrafactus
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633 |
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Chapter XIX
Artificial Intelligence: Prospects
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641 |
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Sloth Canon
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681 |
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Chapter XX
Strange Loops, Or Tangled Hierarchies
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684 |
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Six-Part Ricercar
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720 |
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Notes
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743 |
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Bibliography
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746 |
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Credits
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757 |
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Index
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759 |