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Àâòîðèçàöèÿ |
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Ïîèñê ïî óêàçàòåëÿì |
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Hofstadter D.R. — Godel, Escher, Bach: An Eternal Golden Braid |
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Ïðåäìåòíûé óêàçàòåëü |
-consisiency 459 (see also “ -inconsistency”)
-incompleteness 221—222 421 450—451
-inconsistency 17 223 453—455 458—459
X174 176 524—525
277 306 408 415 421 546 568 605 673 728
.doGma I, .doGma II 532—533
1-D vs. 3-D 519—521 616—617
1729 204—205 210—211 345 393 551 564—565
2+2=5 576
2, as concept 678
2-D vs. 3-D in Escher 57—58 105—106 125 473—474 524 689—690 698 714—716
2-D vs. 3-D in Magritte 480—481 493—494 700—701 705—706
2-D vs. 3-D: television screens and 488—493 737
2-D vs. 3-D: trip-lets and see “Trip-lets”
30, as possible MIU-number 265—267
310-system 261—267
3n+1 problem 400—402 (see also “Wondrous and unwondrous numbers”)
4'33'' (Cage) 156
4-D space 638—639
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 651—653 656—657 660 666—672 674
Achilles property 396—398 415
Achilles: answer-schemas and 475
Achilles: as violin 502
Achilles: Carroll paradox and 46 170 181 193
Achilles: Crab Canon and 204 666—667
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 610—611
Achilles: recursion and 128—131 149
Acoustico-retrieval 278—280 460
acronyms 31—32 113 174 176 204 237 272 374 606 684 727 736 738 740
Acrostics 7 81
Active site 528—529 544
Actor formalism 662—664
Addition in BlooP 409
Addition of supernaturals 455
Addition: AI programs and 677—678
Addition: commutativity, associativity of 55 225—226
Addition: noncommutative 222—223 639
Addition: pq-system and 49—53 417
Addition: representability of 417
Addition: TNT notation for 206—207
Addition: triple 101 206—207
Addresses (in memory) 289 290
Adenine see “Nucleotides”
advertisements 478
AI Thesis 579
AI: applied to mathematics 573 614—615
AI: arguments against 597—599
AI: attitudes against see “Anti-AI attitudes”
AI: computer languages and 299—300 548
AI: converging towards brains 579
AI: defined 26
AI: difficulty of 26—27 573 740
AI: evidence and 695
AI: faith underlying 572 578—579
AI: Goedel's Theorem and 388—390 471—477 706—707
AI: history of 19 24—27 594—597 600—609
AI: level-translation and 285
AI: outline of 601—603
AI: relation to mathematics 559—560
AI: stratification of 299—300
Air and the Song, The (Magritte) 494
Air on G's String 445 446 497
Airplane-haystack story 675
Al programs: compared with people 679—680
Al programs: curiosity of 679
Al programs: Lucas' argument and 577—578
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 209—211
Ambiguity: computer languages and 297—298
Amino acids 518—525 533—534
Amino acids in Typogenetics 508 510—511
Analogical thinking: by computer 603
Analogical thinking: underpinning of 570—571
Analogies 668—674
Analytical engine 25 598 727
Anaphase 667
Anarchy 693
Anderson, Alan Ross 197
Announcer 633—640
anomalies 44 96 208 435 723
Another World (Escher) 250 255
Answer-schemas 462—464 475 688
Ant bridge 334
Ant colonies: artificial 359
Ant colonies: caste distribution in 318—328
Ant colonies: castes in 317—318
Ant colonies: communism in 318 330—331
Ant colonies: compared with brains 315—316 318 324—325 350 358—359
Ant colonies: contrasted with gases 317
Ant colonies: freedom and control in 315—316 327
Ant colonies: intelligent 310—336
Ant colonies: levels in 319—327
Ant colonies: mechanisms of teams and signals 317—321
Ant colonies: order and chains in 316—317
Ant colonies: regrouped 332—333
Ant colonies: signals in 320—328
Ant colonies: symbol level in 324—328 330
Ant colonies: teams in 317 319—327
Ant colonies: thresholds in 316—317 319—321
Ant colonies: trails of 315—317 (see also “Caste distribution” “Aunt “Fermant” “Joh. “Fourmi” “Lierre “Teams” “Signals” “Symbols”)
Ant Fugue 337 349 350 382 570 686 737—739
Anteater 275—284 311—336 382 570 722
Anti-AI attitudes 27 470—472 628
Anticodons 522—524
Ants vs. ant colonies 314 315 319 321 326 330
Ants: dispensability of 326
Ants: nest of 359
Aperiodic crystals 167—169 174—176
Arch of termites 358—359
Aria with Diverse Variations (Bach) 392—393 395
Aria with Diverse Variations (Dialogue) 408
Aristotle 19
Arithmetization 262—265 268—269 533—534
Arithmoquining 445—454 466—468 497 502 541 580—581
Arms, mutually washing 691
Art of the Fugue (Bach) 79—81 86 671
Art of Zen Strings 237 239—242 244 626
Art-Language 622
Art: by computer 603 619—620
Art: identity crisis of 699—700 703—706
Art: modern 699—706
Artificial Imagery 560
Artificial Intuition 560
Artificial Ism 625
Artificial “thinking” 337 601
Ascending and descending (Escher) 12—13 15 21 716
assemblers 291 294
Assembly language 290—295
Assembly language: compared to DNA 290—291
| Assembly lines, cellular 528—529 544—545
Associativity 55—56 207
Assumptions, shaky 420 422 429 580 581 644 672
ASU's, defined 575—574
ASU's: orientation in 375
ASU's: trips in 377—379 383
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 232—233 244
Augmentation 8 9 146 503 681—643 738
Augmentation: intervallic 156—157
Augmented Transition Networks 150 258—259 359 621 625—627 630
Augustus II, Elector of Saxony, King of Poland 461
Aunt Hillary 314—333 382 630
Author, the 3 6 204 370 689 722 724—742
Authorship triangle 94—95 96 689
Autological adjectives 20—21
Automatic programming 298—299
Avery, Oswald 159 161
Awareness, deductive vs. analogical 570—571 619
Axiom schemata 47 48 65 87 468 472—473 543
Axiomatic systems see “Formal systems”
Axioms of 310-system 263
Axioms of MIU-system 33 35
Axioms of P-system 73—74
Axioms of pq-system 47
Axioms of pq-system, modified 87
Axioms of TNT 216
Axioms of TNT, extended 451—452 466—468
Axioms of tq-system 65
Axioms: defined 35
Axioms: lack of in Propositional Calculus 183
Axons 339—340
B-A-C-H (melody) 79—81 86 102 121 155—157 266 719
Babbage test 735—773
Babbage, Charles 24—26 598 601 726—742
BACH (acronym) 174—175
Bach, Anna Magdalena 482
Bach, C. P. E. 3 4 80
Bach, Joh and Seb. 633 669
Bach, Joh. Seb. as composer 392 461 740—742
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 157 162—164 174—175
Bach, Joh. Seb.: AI and 27 677
Bach, Joh. Seb.: confused with Fermat 331—335
Bach, Joh. Seb.: depth of 7—8 9—10 27—28 70—71 677
Bach, Joh. Seb.: dissection vs. appreciation of 680
Bach, Joh. Seb.: Escher and 199 666—667
Bach, Joh. Seb.: Forkel on 4 86
Bach, Joh. Seb.: homage to 81
Bach, Joh. Seb.: improvisation in 3—7 96 719
Bach, Joh. Seb.: in Leipzig 383 404
Bach, Joh. Seb.: indirect sell-reference of 79—81 86
Bach, Joh. Seb.: life and death of 86
Bach, Joh. Seb.: modulation and 122—123 130
Bach, Joh. Seb.: recursive qualities of music of 70—71
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 433 506—507 514—516 517 523 534
BASEBALL 637—638
Bases (genetics) 514 (see also “Nucleotides”)
Bases in Typogenetics 505—508 510
Baso 234
Bassui 255
Beautiful vs. non-beautiful 552—558 560 573—575 581—582
Beauty: computers and 575
Beauty: elusiveness of 554 555 565 574—575 581 583—584
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 91—94 100 456—459 467 579
Biojukeboxes 160 175
Birthday Cantata (Bach) 461
Birthday Cantatatata (Dialogue) 468 475 688
Birthdays 461—464
bits 288—289 290 291
BLOCK (BlooP) 410—411
Blocks world 586—593 627—632 674
BlooP 406 409—430 440 441 444
BlooP programs 410—414
BlooP: alphabet of 419 425
BlooP: control structures in 410
BlooP: primordial steps of 409 412—413
BlooP: syntax of 410—415
Blue Programs 418—420 422 427
Bluediag [N] 42—44 428
Board evaluation: static and dynamic 604—605 611
Board evaluation: Strange Loops in 604—605
Bodhidharma 232 238 245 252 625
Bolyai, Farkas 92
Bolyai, Janos 91—92
Bongard problems 646—662 664 669 674
Bongard problems: universality of 661—662
Bongard, M. 646
Boole, Geo. 20 404 600
Boolean Buddhism 577
Boomerangs 75 84 267 472
Bootstrapping 24 293—294 524 548
Bottom (recursion) 139—140 (see also “Skeletons”)
Bottom-up vs. top-down 48—49
Bottoming out 133—135 151 259 301 650
Boustrophedonic writing 168—169 176
Boxed systems 469—470 543
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 315—316 318 324—325 350 358—359
Brains: Epimenides paradox and 584—585
Brains: formal systems and 337—338 559—562 569—579 584—585 676 “Formal “Brains
Brains: frame and outer messages and 170—171
Brains: mappings between 341—342 345—346 369—382
Brains: music and 163
Brains: operating systems and 296
Brains: programmability of 302
Brains: rules and 26—27 676
Brains: suborgans of 340—341
Brains: thoughts and 337—365
Breton, Andre 700
Brouwer, Luitzen E.J. 404
Buddha-nature 233 234 238—244
Butterflies (Escher) 147—148
Buxtehude, Dietrich 335
Byrd, Donald see “SMUT”
Byron, Lord 25
C-A-G-E (melody) 156—157
C-system 65—67 71—72
CAGE (acronym) 174—175
Cage, John 156—157 163—164 167 174—175 556 699—700 704
Calculating prodigies see “Idiots savants”
Canon by Intervallic Augmentation 525
Canons in Goldberg Variations 392
Canons in Musical Offering 7—10 726—727
Canons: copies and 8—9 146
Canons: Dialogues and 665—669 738
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