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Preface to GEB's Twentieth-anniversary Edition P-1
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 Mumon and Godel 246 Part II EGB 275 Prelude ... 285 Chapter X Levels of Description, and Computer Systems 285 ... Ant Fugue 311 Chapter XI Brains and Thoughts 337 English French German Suite 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 Birthday Cantatatata ... 461 Chapter XV Jumping out of the System 465 Edifying Thoughts of a Tobacco Smoker 480 Chapter XVI Self-Ref and Self-Rep 495 The Magnificrab, Indeed 549 Chapter XVII Church, Turing, Tarski, and Others 559 Shrdlu, Toy of Man's Designing 586 Chapter XVIII Artificial Intelligence: Retrospects 594 Contrafactus 633 Chapter XIX Artificial Intelligence: Prospects 641 Sloth Canon 681 Chapter XX Strange Loops, Or Tangled Hierarchies 684 Six-Part Ricercar 720 Notes 743 Bibliography 746 Credits 757 Index 759 Back |
Douglas Richard Hofstadter
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