章节目录
Overview List of Illustrations Words of Thanks Pt. I GEB Introduction: A Musico-Logical Offering : Three-Part Invention Ch. I The MU-puzzle : Two-Part Invention Ch. II Meaning and Form in Mathematics : Sonata for Unaccompanied Achilles Ch. III Figure and Ground : Contracrostipunctus Ch. IV Consistency, Completeness, and Geometry : Little Harmonic Labyrinth Ch. V Recursive Structures and Processes : Canon by Intervallic Augmentation Ch. VI The Location of Meaning : Chromatic Fantasy, And Feud Ch. VII The Propositional Calculus : Crab Canon Ch. VIII Typographical Number Theory : A Mu Offering Ch. IX Mumon and Godel Pt. II EGB Prelude ... Ch. X Levels of Description, and Computer Systems : ... Ant Fugue Ch. XI Brains and Thoughts : English French German Suite Ch. XII Minds and Thoughts : Aria with Diverse Variations Ch. XIII BlooP and FlooP and GlooP : Air on G's String Ch. XIV On Formally Undecidable Propositions of TNT and Related Systems : Birthday Cantatatata ... Ch. XV Jumping out of the System : Edifying Thoughts of a Tobacco Smoker Ch. XVI Self-Ref and Self-Rep : The Magnificrab, Indeed Ch. XVII Church, Turing, Tarski, and Others : SHRDLU, Toy of Man's Designing Ch. XVIII Artificial Intelligence: Retrospects : Contrafactus Ch. XIX Artificial Intelligence: Prospects : Sloth Canon Ch. XX Strange Loops, Or Tangled Hierarchies : Six-Part Ricercar Notes Bibliography Credits Index
内容简介
Twenty years after it topped the bestseller charts, Douglas R. Hofstadter's Gödel, Escher, Bach: An Eternal Golden Braid is still something of a marvel. Besides being a profound and entertaining meditation on human thought and creativity, this book looks at the surprising points of contact between the music of Bach, the artwork of Escher, and the mathematics of Gödel. It also looks at the prospects for computers and artificial intelligence (AI) for mimicking human thought. For the general reader and the computer techie alike, this book still sets a standard for thinking about the future of computers and their relation to the way we think. Topics Covered: J.S. Bach, M.C. Escher, Kurt Gödel: biographical information and work, artificial intelligence (AI) history and theories, strange loops and tangled hierarchies, formal and informal systems, number theory, form in mathematics, figure and ground, consistency, completeness, Euclidean and non-Euclidean geometry, recursive structures, theories of meaning, propositional calculus, typographical number theory, Zen and mathematics, levels of description and computers; theory of mind: neurons, minds and thoughts; undecidability; self-reference and self-representation; Turing test for machine intelligence.
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