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Godel, Escher, Bach (Anniversary) : An Eternal Golden Braid

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Overview viii
List of Illustrations xiv
Words of Thanks xix
Part I: GEB
Introduction: A Musico-Logical Offering 3 (30)
Three-Part Invention 29 (4)
The MU-Puzzle 33 (13)
Two-Part Invention 43 (3)
Meaning and Form in Mathematics 46 (18)
Sonata for Unaccompanied Achilles 61 (3)
Figure and Ground 64 (18)
Contracrostipunctus 75 (7)
Consistency, Completeness, and Geometry 82 (45)
Little Harmonic Labyrinth 103 (24)
Recursive Structures and Processes 127 (31)
Cannon by Intervallic Augmentation 153 (5)
The Location of Meaning 158 (23)
Chromatic Fantasy, And Feud 177 (4)
The Propositional Calculus 181 (23)
Crab Canon 199 (5)
Typographical Number Theory 204 (42)
A Mu Offering 231 (15)
Mumon and Godel 246 (39)
Part II: EGB
Prelude ... 275 (10)
Levels of Description, and Computer Systems 285 (52)
... Ant Fugue 311 (26)
Brains and Thoughts 337 (32)
English French German Suite 366 (3)
Minds and Thoughts 369 (37)
Aria with Diverse Variations 391 (15)
BlooP and FlooP and GlooP 406 (32)
Air on G's String 431 (7)
On Formally Undecidable Propositions of TNT 438 (27)
and Related Systems
Birthday Cantatatata 461 (4)
Jumping out of the System 465 (30)
Edifying Thoughts of a Tobacco Smoker 480 (15)
Self-Ref and Self-Rep 495 (64)
The Magnificrab, Indeed 549 (10)
Church, Turing, Tarski, and Others 559 (35)
SHRDLU, Toy of Man's Designing 586 (8)
Artificial Intelligence: Retrospects 594 (47)
Contrafactus 633 (8)
Artificial Intelligence: Prospects 641 (43)
Sloth Canon 681 (3)
Strange Loops, Or Tangled Hierarchies 684 (59)
Six-Part Ricercar 720 (23)
Notes 743 (3)
Bibliography 746 (11)
Credits 757 (2)
Index 759

º»¹®Áß¿¡¼­

"EGB's greatest accomplishment is to show that the austere and frigid world of pure mathematics is by no means as remote from the two worlds of art and music as the humanist in the street believes it to be.... Hofstader guides his uninitiated reader through level after level of the mathematical funhouse, not only explaining its layout but also conveying a sense of the wonder and the beauty that do, in fact, reside there."
Walter Kendrick
Village Voice

"I cannot begin to do justice to the wealth of suggestive analyses in Hofstader's book. In its 700 odd pages, he reviews a wide range of mathematical-type operations: 'recursion,' (an entity embedded within a larger version of the same entity, like a story within a story); 'strange loops' (systems in which one can start at a point and then work through a number of levels-only to find oneself at the beginning again); systems reflecting upon or referring to themselves, and numerous others. Patiently he explains and explores their manifestations not only in their original, mathematical guise but also in the analogous realms of music, verbal play, and pictures."
Howard Gardner
Psychology Today


"Having taken G(del, Escher, Bach off the shelf, I indulged myself by rereading it for the first time in years. I enjoyed it and appreciated it more than I did sixteen years ago. At that time, I did not sufficiently appreciate the extraordinary patience and clarity and enjoyability of the presentation of the basic structure of G(del's theorem and its underlying concepts-formal proof, logic and metalogic, and self-reference. All this is presented in a form accessible to the lay reader with no cheating or inaccuracy, and with the omission only of the number-theoretic details of G(del's proof. Having spent the last thirteen years trying to teach and write, I now marvel at Hofstader's pedagogical skill at presenting this difficult material."
Ernest Davis
IEEE Expert


"A classic dinner-party game I like to play is to ask my guests what science book published, say, during the past 25 years they would take if they were to be stranded indefinitely on a desert island. For me the choice is easy: I would grab a copy of copy of Douglas Hofstader's G(del, Escher, Bach (GEB) before abandoning ship.... Alternating witty, enlightening dialogues with chapters on such meaty topics as self-reference, recursion, meaning in mathematics, wonderful art of M. C. Escher, minds, thoughts, typesetting, G(delian paradoxes, self-replication, artificial intelligence and heirarchies, GEB is more like a summary statement of most of modern cognitive science than a thematic book, more of a romp over the modern intellectual landscape than a scholarly monograph. Yet it manages to be all these things and more."
John L. Casti
Nature

Ã¥¼Ò°³

Douglas Hofstadter¡¯s book is concerned directly with the nature of ¡°maps¡± or links between formal systems. However, according to Hofstadter, the formal system that underlies all mental activity transcends the system that supports it. If life can grow out of the formal chemical substrate of the cell, if consciousness can emerge out of a formal system of firing neurons, then so too will computers attain human intelligence. Godel, Escher, Bach is a wonderful exploration of fascinating ideas at the heart of cognitive science: meaning, reduction, recursion, and much more.

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