Gödel, Escher, Bach：An Eternal Golden Braid

作者: Douglas R. Hofstadter 著

出版社: Basic Books

出版时间: 1999-01

ISBN: 9780465026562

定价: 213.40

装帧: 平装

开本: 其他

纸张: 其他

页数: 832页

正文语种: 英语

分类: 外文原版>英文书>计算机与互联网

G(del,Escher,BachisaPulitzerPrizewinningtreatiseexploringpatternsandsymbolsinthethinkingofmathematicianKurtG(del,artistM.C.EscherandcomposerJohannSebastianBach.Agroundbreakingbookthathassetthestandardforinterdisciplinarywriting.Abookeverythinkingreadermusthave..DouglasHofstadtersbookisconcerneddirectlywiththenatureofmapsorlinksbetweenformalsystems.However,accordingtoHofstadter,theformalsystemthatunderliesallmentalactivitytranscendsthesystemthatsupportsit.Iflifecangrowoutoftheformalchemicalsubstrateofthecell,ifconsciousnesscanemergeoutofaformalsystemoffiringneurons,thensotoowillcomputersattainhumanintelligence.GdelEscherandBachisawonderfulexplorationoffascinatingideasattheheartofcognitivescience:meaning,reduction,recursion,andmuchmore. DouglasR.HofstadterisCollegeProfessorofCognitiveScienceandComputerScienceatIndianaUniversity,Bloomington,Indiana.HispreviousbooksarethePulitzerPrizewinningG?del,Escher,Bach;MetamagicalThemas,TheMind’sI,FluidConceptsandCreativeAnalogies,LeTonBeaudeMarot,andEugeneOnegin. 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:
G(del,Escher,BachisaPulitzerPrizewinningtreatiseexploringpatternsandsymbolsinthethinkingofmathematicianKurtG(del,artistM.C.EscherandcomposerJohannSebastianBach.Agroundbreakingbookthathassetthestandardforinterdisciplinarywriting.Abookeverythinkingreadermusthave..DouglasHofstadtersbookisconcerneddirectlywiththenatureofmapsorlinksbetweenformalsystems.However,accordingtoHofstadter,theformalsystemthatunderliesallmentalactivitytranscendsthesystemthatsupportsit.Iflifecangrowoutoftheformalchemicalsubstrateofthecell,ifconsciousnesscanemergeoutofaformalsystemoffiringneurons,thensotoowillcomputersattainhumanintelligence.GdelEscherandBachisawonderfulexplorationoffascinatingideasattheheartofcognitivescience:meaning,reduction,recursion,andmuchmore.
作者简介:
DouglasR.HofstadterisCollegeProfessorofCognitiveScienceandComputerScienceatIndianaUniversity,Bloomington,Indiana.HispreviousbooksarethePulitzerPrizewinningG?del,Escher,Bach;MetamagicalThemas,TheMind’sI,FluidConceptsandCreativeAnalogies,LeTonBeaudeMarot,andEugeneOnegin.
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