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Gödel, Escher, Bach : an eternal golden braid / Douglas R. Hofstadter.

Av: Språk: Engelska Utgivningsuppgift: New York : Basic Books, [1999]Utgåva: 20th anniversary edBeskrivning: 23, vi-xxi, 777 p. ill. 23 cmInnehållstyp:
  • Text
ISBN:
  • 0465026567
  • 0394756827
Ämnen: Genre/form: DDK-klassifikation:
  • 510.1 23/swe
Annan klassifikation:
  • Ta:d
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Bok Biblioteket HKR Biblioteket 510 Hofstadter Tillgänglig 11156000165852
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Winner of the Pulitzer Prize and National Book Award

A metaphorical fugue on minds and machines in the spirit of Lewis Carroll

"Every few decades an unknown author brings out a book of such depth, charity, range, wit, beauty, and originality that it is recognized at once as a major literary event. This is such a work." -- Scientific American

GEB is a unique insight into the nature of "I," self, soul, and consciousness, centered on a notion that its youthful author dubbed "strange loop," inspired by the twisty self-referential construction invented by logician Kurt Gödel, whereby a sentence asserts its own unprovability. The book's chapters alternate with Bach-like contrapuntal dialogues between whimsical characters (especially Achilles and the Tortoise), and each dialogue's intricate structure exemplifies the notion being discussed in it, thus creating indirect self-reference (a fact unsuspected by the characters). The book, filled with analogies, wordplay, humor, and mind-twisting prints by M. C. Escher, has inspired generations of bright students to study cognitive science and the philosophy of mind.

Includes bibliographical references (p. 746-756) and index

Innehållsförteckning levererad av Syndetics

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