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Hofstadter D.R. Godel, Escher, Bach: An Eternal Golden Braid
Hofstadter D.R.  Godel, Escher, Bach: An Eternal Golden Braid







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: Godel, Escher, Bach: An Eternal Golden Braid

: Hofstadter D.R.

:

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.


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ed2k: ed2k stats

: 1979

: 757

: 30.04.2005

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$\omega$-consisiency      459 (see also $\omega$-inconsistency)
$\omega$-incompleteness      221222 421 450451
$\omega$-inconsistency      17 223 453455 458459
$\phi$X174      176 524525
$\pi$      277 306 408 415 421 546 568 605 673 728
.doGma I, .doGma II      532533
1-D vs. 3-D      519521 616617
1729      204205 210211 345 393 551 564565
2+2=5      576
2, as concept      678
2-D vs. 3-D in Escher      5758 105106 125 473474 524 689690 698 714716
2-D vs. 3-D in Magritte      480481 493494 700701 705706
2-D vs. 3-D: television screens and      488493 737
2-D vs. 3-D: trip-lets and      see Trip-lets
30, as possible MIU-number      265267
310-system      261267
3n+1 problem      400402 (see also Wondrous and unwondrous numbers)
4'33'' (Cage)      156
4-D space      638639
5-D space      640
50 (fifty)      338 557 564
AABB form      130 227
Abel, Niels Henrik      404
ABORT (BlooP)      412
Abortion      176
Abstraction, levels of      651653 656657 660 666672 674
Achilles property      396398 415
Achilles: answer-schemas and      475
Achilles: as violin      502
Achilles: Carroll paradox and      46 170 181 193
Achilles: Crab Canon and      204 666667
Achilles: heel of      389 484
Achilles: image of GOD      223
Achilles: inaccessible neurons of      328 686
Achilles: initial letter of      231 507 667
Achilles: innocence of      406 408 424
Achilles: mapped onto ant colony      318 324
Achilles: mentioned      84 272 525 573 669
Achilles: mystified by Crab      560
Achilles: orchard analogy and      427
Achilles: origin of      28 29
Achilles: picture of      42
Achilles: problem reduction and      610611
Achilles: recursion and      128131 149
Acoustico-retrieval      278280 460
acronyms      3132 113 174 176 204 237 272 374 606 684 727 736 738 740
Acrostics      7 81
Active site      528529 544
Actor formalism      662664
Addition in BlooP      409
Addition of supernaturals      455
Addition: AI programs and      677678
Addition: commutativity, associativity of      55 225226
Addition: noncommutative      222223 639
Addition: pq-system and      4953 417
Addition: representability of      417
Addition: TNT notation for      206207
Addition: triple      101 206207
Addresses (in memory)      289 290
Adenine      see Nucleotides
advertisements      478
AI Thesis      579
AI: applied to mathematics      573 614615
AI: arguments against      597599
AI: attitudes against      see Anti-AI attitudes
AI: computer languages and      299300 548
AI: converging towards brains      579
AI: defined      26
AI: difficulty of      2627 573 740
AI: evidence and      695
AI: faith underlying      572 578579
AI: Goedel's Theorem and      388390 471477 706707
AI: history of      19 2427 594597 600609
AI: level-translation and      285
AI: outline of      601603
AI: relation to mathematics      559560
AI: stratification of      299300
Air and the Song, The (Magritte)      494
Air on G's String      445 446 497
Airplane-haystack story      675
Al programs: compared with people      679680
Al programs: curiosity of      679
Al programs: Lucas' argument and      577578
Aleatoric music      163 174 700
Algol      292 293 381 630
Algorithms      292 410 412 413 414 440 459 567
Alpha helix      521 525
Alternative Structures of the Union      see ASU's
Ambiguity in translation into TNT      209211
Ambiguity: computer languages and      297298
Amino acids      518525 533534
Amino acids in Typogenetics      508 510511
Analogical thinking: by computer      603
Analogical thinking: underpinning of      570571
Analogies      668674
Analytical engine      25 598 727
Anaphase      667
Anarchy      693
Anderson, Alan Ross      197
Announcer      633640
anomalies      44 96 208 435 723
Another World (Escher)      250 255
Answer-schemas      462464 475 688
Ant bridge      334
Ant colonies: artificial      359
Ant colonies: caste distribution in      318328
Ant colonies: castes in      317318
Ant colonies: communism in      318 330331
Ant colonies: compared with brains      315316 318 324325 350 358359
Ant colonies: contrasted with gases      317
Ant colonies: freedom and control in      315316 327
Ant colonies: intelligent      310336
Ant colonies: levels in      319327
Ant colonies: mechanisms of teams and signals      317321
Ant colonies: order and chains in      316317
Ant colonies: regrouped      332333
Ant colonies: signals in      320328
Ant colonies: symbol level in      324328 330
Ant colonies: teams in      317 319327
Ant colonies: thresholds in      316317 319321
Ant colonies: trails of      315317 (see also Caste distribution Aunt Fermant Joh. Fourmi Lierre Teams Signals Symbols)
Ant Fugue      337 349 350 382 570 686 737739
Anteater      275284 311336 382 570 722
Anti-AI attitudes      27 470472 628
Anticodons      522524
Ants vs. ant colonies      314 315 319 321 326 330
Ants: dispensability of      326
Ants: nest of      359
Aperiodic crystals      167169 174176
Arch of termites      358359
Aria with Diverse Variations (Bach)      392393 395
Aria with Diverse Variations (Dialogue)      408
Aristotle      19
Arithmetization      262265 268269 533534
Arithmoquining      445454 466468 497 502 541 580581
Arms, mutually washing      691
Art of the Fugue (Bach)      7981 86 671
Art of Zen Strings      237 239242 244 626
Art-Language      622
Art: by computer      603 619620
Art: identity crisis of      699700 703706
Art: modern      699706
Artificial Imagery      560
Artificial Intuition      560
Artificial Ism      625
Artificial thinking      337 601
Ascending and descending (Escher)      1213 15 21 716
assemblers      291 294
Assembly language      290295
Assembly language: compared to DNA      290291
Assembly lines, cellular      528529 544545
Associativity      5556 207
Assumptions, shaky      420 422 429 580 581 644 672
ASU's, defined      575574
ASU's: orientation in      375
ASU's: trips in      377379 383
ATN's      see Augmented Transition Networks
ATN-colony      359
Atoms: in physics      303
Atoms: in Propositional Calculus      182 186
Atoms: in TNT      207 213 214
ATTACCA      176 284 311 505
Attachment and nonattachment      232233 244
Augmentation      8 9 146 503 681643 738
Augmentation: intervallic      156157
Augmented Transition Networks      150 258259 359 621 625627 630
Augustus II, Elector of Saxony, King of Poland      461
Aunt Hillary      314333 382 630
Author, the      3 6 204 370 689 722 724742
Authorship triangle      9495 96 689
Autological adjectives      2021
Automatic programming      298299
Avery, Oswald      159 161
Awareness, deductive vs. analogical      570571 619
Axiom schemata      47 48 65 87 468 472473 543
Axiomatic systems      see Formal systems
Axioms of 310-system      263
Axioms of MIU-system      33 35
Axioms of P-system      7374
Axioms of pq-system      47
Axioms of pq-system, modified      87
Axioms of TNT      216
Axioms of TNT, extended      451452 466468
Axioms of tq-system      65
Axioms: defined      35
Axioms: lack of in Propositional Calculus      183
Axons      339340
B-A-C-H (melody)      7981 86 102 121 155157 266 719
Babbage test      735773
Babbage, Charles      2426 598 601 726742
BACH (acronym)      174175
Bach, Anna Magdalena      482
Bach, C. P. E.      3 4 80
Bach, Joh and Seb.      633 669
Bach, Joh. Seb. as composer      392 461 740742
Bach, Joh. Seb. as glassblower      79
Bach, Joh. Seb. as harpsichordist      275 279 280
Bach, Joh. Seb. as inspiration for Dialogues      28 737
Bach, Joh. Seb. vs. Cage      157 162164 174175
Bach, Joh. Seb.: AI and      27 677
Bach, Joh. Seb.: confused with Fermat      331335
Bach, Joh. Seb.: depth of      78 910 2728 7071 677
Bach, Joh. Seb.: dissection vs. appreciation of      680
Bach, Joh. Seb.: Escher and      199 666667
Bach, Joh. Seb.: Forkel on      4 86
Bach, Joh. Seb.: homage to      81
Bach, Joh. Seb.: improvisation in      37 96 719
Bach, Joh. Seb.: in Leipzig      383 404
Bach, Joh. Seb.: indirect sell-reference of      7981 86
Bach, Joh. Seb.: life and death of      86
Bach, Joh. Seb.: modulation and      122123 130
Bach, Joh. Seb.: recursive qualities of music of      7071
Bach, Joh. Seb.: Shepard tones and      719
Bach, Joh. Seb.: squared      679
Bach, Wilhelm Friedemann      4 6
Background assumptions      644
Backtracking      97 629 632
Backwards chaining      618
Bankers      457
Base-pairing, complementary      433 506507 514516 517 523 534
BASEBALL      637638
Bases (genetics)      514 (see also Nucleotides)
Bases in Typogenetics      505508 510
Baso      234
Bassui      255
Beautiful vs. non-beautiful      552558 560 573575 581582
Beauty: computers and      575
Beauty: elusiveness of      554 555 565 574575 581 583584
Bees      360 641 720
Beethoven, Ludwig van      6 75 163 634
Beliefs, catalogue of      382 384
Bell, A.G.      296
Belnap, Nuel      197
Berio, Luciano      704
Bicentuplets      540
Bifurcations      9194 100 456459 467 579
Biojukeboxes      160 175
Birthday Cantata (Bach)      461
Birthday Cantatatata (Dialogue)      468 475 688
Birthdays      461464
bits      288289 290 291
BLOCK (BlooP)      410411
Blocks world      586593 627632 674
BlooP      406 409430 440 441 444
BlooP programs      410414
BlooP: alphabet of      419 425
BlooP: control structures in      410
BlooP: primordial steps of      409 412413
BlooP: syntax of      410415
Blue Programs      418420 422 427
Bluediag [N]      4244 428
Board evaluation: static and dynamic      604605 611
Board evaluation: Strange Loops in      604605
Bodhidharma      232 238 245 252 625
Bolyai, Farkas      92
Bolyai, Janos      9192
Bongard problems      646662 664 669 674
Bongard problems: universality of      661662
Bongard, M.      646
Boole, Geo.      20 404 600
Boolean Buddhism      577
Boomerangs      75 84 267 472
Bootstrapping      24 293294 524 548
Bottom (recursion)      139140 (see also Skeletons)
Bottom-up vs. top-down      4849
Bottoming out      133135 151 259 301 650
Boustrophedonic writing      168169 176
Boxed systems      469470 543
Boyle's law      308 (see also Gases)
Brains as ATN-colonies      359
Brains as mathematical objects      559
Brains vs. minds      576 (see also Minds Intelligence etc.)
Brains: ant colonies and      315316 318 324325 350 358359
Brains: Epimenides paradox and      584585
Brains: formal systems and      337338 559562 569579 584585 676 Formal Brains
Brains: frame and outer messages and      170171
Brains: mappings between      341342 345346 369382
Brains: music and      163
Brains: operating systems and      296
Brains: programmability of      302
Brains: rules and      2627 676
Brains: suborgans of      340341
Brains: thoughts and      337365
Breton, Andre      700
Brouwer, Luitzen E.J.      404
Buddha-nature      233 234 238244
Butterflies (Escher)      147148
Buxtehude, Dietrich      335
Byrd, Donald      see SMUT
Byron, Lord      25
C-A-G-E (melody)      156157
C-system      6567 7172
CAGE (acronym)      174175
Cage, John      156157 163164 167 174175 556 699700 704
Calculating prodigies      see Idiots savants
Canon by Intervallic Augmentation      525
Canons in Goldberg Variations      392
Canons in Musical Offering      710 726727
Canons: copies and      89 146
Canons: Dialogues and      665669 738
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