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

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Ќазвание: Godel, Escher, Bach: An Eternal Golden Braid

јвтор: Hofstadter D.R.

јннотаци€:

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.


язык: en

–убрика: ћатематика/ѕопул€рные издани€/

—татус предметного указател€: √отов указатель с номерами страниц

ed2k: ed2k stats

√од издани€: 1979

 оличество страниц: 757

ƒобавлена в каталог: 30.04.2005

ќперации: ѕоложить на полку | —копировать ссылку дл€ форума | —копировать ID
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ѕредметный указатель
$\omega$-consisiency      459 (see also У$\omega$-inconsistencyФ)
$\omega$-incompleteness      221Ч222 421 450Ч451
$\omega$-inconsistency      17 223 453Ч455 458Ч459
$\phi$X174      176 524Ч525
$\pi$      277 306 408 415 421 546 568 605 673 728
.doGma I, .doGma II      532Ч533
1-D vs. 3-D      519Ч521 616Ч617
1729      204Ч205 210Ч211 345 393 551 564Ч565
2+2=5      576
2, as concept      678
2-D vs. 3-D in Escher      57Ч58 105Ч106 125 473Ч474 524 689Ч690 698 714Ч716
2-D vs. 3-D in Magritte      480Ч481 493Ч494 700Ч701 705Ч706
2-D vs. 3-D: television screens and      488Ч493 737
2-D vs. 3-D: trip-lets and      see УTrip-letsФ
30, as possible MIU-number      265Ч267
310-system      261Ч267
3n+1 problem      400Ч402 (see also УWondrous and unwondrous numbersФ)
4'33'' (Cage)      156
4-D space      638Ч639
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      651Ч653 656Ч657 660 666Ч672 674
Achilles property      396Ч398 415
Achilles: answer-schemas and      475
Achilles: as violin      502
Achilles: Carroll paradox and      46 170 181 193
Achilles: Crab Canon and      204 666Ч667
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      610Ч611
Achilles: recursion and      128Ч131 149
Acoustico-retrieval      278Ч280 460
acronyms      31Ч32 113 174 176 204 237 272 374 606 684 727 736 738 740
Acrostics      7 81
Active site      528Ч529 544
Actor formalism      662Ч664
Addition in BlooP      409
Addition of supernaturals      455
Addition: AI programs and      677Ч678
Addition: commutativity, associativity of      55 225Ч226
Addition: noncommutative      222Ч223 639
Addition: pq-system and      49Ч53 417
Addition: representability of      417
Addition: TNT notation for      206Ч207
Addition: triple      101 206Ч207
Addresses (in memory)      289 290
Adenine      see УNucleotidesФ
advertisements      478
AI Thesis      579
AI: applied to mathematics      573 614Ч615
AI: arguments against      597Ч599
AI: attitudes against      see УAnti-AI attitudesФ
AI: computer languages and      299Ч300 548
AI: converging towards brains      579
AI: defined      26
AI: difficulty of      26Ч27 573 740
AI: evidence and      695
AI: faith underlying      572 578Ч579
AI: Goedel's Theorem and      388Ч390 471Ч477 706Ч707
AI: history of      19 24Ч27 594Ч597 600Ч609
AI: level-translation and      285
AI: outline of      601Ч603
AI: relation to mathematics      559Ч560
AI: stratification of      299Ч300
Air and the Song, The (Magritte)      494
Air on G's String      445 446 497
Airplane-haystack story      675
Al programs: compared with people      679Ч680
Al programs: curiosity of      679
Al programs: Lucas' argument and      577Ч578
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 УASU'sФ
Ambiguity in translation into TNT      209Ч211
Ambiguity: computer languages and      297Ч298
Amino acids      518Ч525 533Ч534
Amino acids in Typogenetics      508 510Ч511
Analogical thinking: by computer      603
Analogical thinking: underpinning of      570Ч571
Analogies      668Ч674
Analytical engine      25 598 727
Anaphase      667
Anarchy      693
Anderson, Alan Ross      197
Announcer      633Ч640
anomalies      44 96 208 435 723
Another World (Escher)      250 255
Answer-schemas      462Ч464 475 688
Ant bridge      334
Ant colonies: artificial      359
Ant colonies: caste distribution in      318Ч328
Ant colonies: castes in      317Ч318
Ant colonies: communism in      318 330Ч331
Ant colonies: compared with brains      315Ч316 318 324Ч325 350 358Ч359
Ant colonies: contrasted with gases      317
Ant colonies: freedom and control in      315Ч316 327
Ant colonies: intelligent      310Ч336
Ant colonies: levels in      319Ч327
Ant colonies: mechanisms of teams and signals      317Ч321
Ant colonies: order and chains in      316Ч317
Ant colonies: regrouped      332Ч333
Ant colonies: signals in      320Ч328
Ant colonies: symbol level in      324Ч328 330
Ant colonies: teams in      317 319Ч327
Ant colonies: thresholds in      316Ч317 319Ч321
Ant colonies: trails of      315Ч317 (see also УCaste distributionФ УAunt УFermantФ УJoh. УFourmiФ УLierre УTeamsФ УSignalsФ УSymbolsФ)
Ant Fugue      337 349 350 382 570 686 737Ч739
Anteater      275Ч284 311Ч336 382 570 722
Anti-AI attitudes      27 470Ч472 628
Anticodons      522Ч524
Ants vs. ant colonies      314 315 319 321 326 330
Ants: dispensability of      326
Ants: nest of      359
Aperiodic crystals      167Ч169 174Ч176
Arch of termites      358Ч359
Aria with Diverse Variations (Bach)      392Ч393 395
Aria with Diverse Variations (Dialogue)      408
Aristotle      19
Arithmetization      262Ч265 268Ч269 533Ч534
Arithmoquining      445Ч454 466Ч468 497 502 541 580Ч581
Arms, mutually washing      691
Art of the Fugue (Bach)      79Ч81 86 671
Art of Zen Strings      237 239Ч242 244 626
Art-Language      622
Art: by computer      603 619Ч620
Art: identity crisis of      699Ч700 703Ч706
Art: modern      699Ч706
Artificial Imagery      560
Artificial Intuition      560
Artificial Ism      625
Artificial УthinkingФ      337 601
Ascending and descending (Escher)      12Ч13 15 21 716
assemblers      291 294
Assembly language      290Ч295
Assembly language: compared to DNA      290Ч291
Assembly lines, cellular      528Ч529 544Ч545
Associativity      55Ч56 207
Assumptions, shaky      420 422 429 580 581 644 672
ASU's, defined      575Ч574
ASU's: orientation in      375
ASU's: trips in      377Ч379 383
ATN's      see УAugmented Transition NetworksФ
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      232Ч233 244
Augmentation      8 9 146 503 681Ч643 738
Augmentation: intervallic      156Ч157
Augmented Transition Networks      150 258Ч259 359 621 625Ч627 630
Augustus II, Elector of Saxony, King of Poland      461
Aunt Hillary      314Ч333 382 630
Author, the      3 6 204 370 689 722 724Ч742
Authorship triangle      94Ч95 96 689
Autological adjectives      20Ч21
Automatic programming      298Ч299
Avery, Oswald      159 161
Awareness, deductive vs. analogical      570Ч571 619
Axiom schemata      47 48 65 87 468 472Ч473 543
Axiomatic systems      see УFormal systemsФ
Axioms of 310-system      263
Axioms of MIU-system      33 35
Axioms of P-system      73Ч74
Axioms of pq-system      47
Axioms of pq-system, modified      87
Axioms of TNT      216
Axioms of TNT, extended      451Ч452 466Ч468
Axioms of tq-system      65
Axioms: defined      35
Axioms: lack of in Propositional Calculus      183
Axons      339Ч340
B-A-C-H (melody)      79Ч81 86 102 121 155Ч157 266 719
Babbage test      735Ч773
Babbage, Charles      24Ч26 598 601 726Ч742
BACH (acronym)      174Ч175
Bach, Anna Magdalena      482
Bach, C. P. E.      3 4 80
Bach, Joh and Seb.      633 669
Bach, Joh. Seb. as composer      392 461 740Ч742
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 162Ч164 174Ч175
Bach, Joh. Seb.: AI and      27 677
Bach, Joh. Seb.: confused with Fermat      331Ч335
Bach, Joh. Seb.: depth of      7Ч8 9Ч10 27Ч28 70Ч71 677
Bach, Joh. Seb.: dissection vs. appreciation of      680
Bach, Joh. Seb.: Escher and      199 666Ч667
Bach, Joh. Seb.: Forkel on      4 86
Bach, Joh. Seb.: homage to      81
Bach, Joh. Seb.: improvisation in      3Ч7 96 719
Bach, Joh. Seb.: in Leipzig      383 404
Bach, Joh. Seb.: indirect sell-reference of      79Ч81 86
Bach, Joh. Seb.: life and death of      86
Bach, Joh. Seb.: modulation and      122Ч123 130
Bach, Joh. Seb.: recursive qualities of music of      70Ч71
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 506Ч507 514Ч516 517 523 534
BASEBALL      637Ч638
Bases (genetics)      514 (see also УNucleotidesФ)
Bases in Typogenetics      505Ч508 510
Baso      234
Bassui      255
Beautiful vs. non-beautiful      552Ч558 560 573Ч575 581Ч582
Beauty: computers and      575
Beauty: elusiveness of      554 555 565 574Ч575 581 583Ч584
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      91Ч94 100 456Ч459 467 579
Biojukeboxes      160 175
Birthday Cantata (Bach)      461
Birthday Cantatatata (Dialogue)      468 475 688
Birthdays      461Ч464
bits      288Ч289 290 291
BLOCK (BlooP)      410Ч411
Blocks world      586Ч593 627Ч632 674
BlooP      406 409Ч430 440 441 444
BlooP programs      410Ч414
BlooP: alphabet of      419 425
BlooP: control structures in      410
BlooP: primordial steps of      409 412Ч413
BlooP: syntax of      410Ч415
Blue Programs      418Ч420 422 427
Bluediag [N]      42Ч44 428
Board evaluation: static and dynamic      604Ч605 611
Board evaluation: Strange Loops in      604Ч605
Bodhidharma      232 238 245 252 625
Bolyai, Farkas      92
Bolyai, Janos      91Ч92
Bongard problems      646Ч662 664 669 674
Bongard problems: universality of      661Ч662
Bongard, M.      646
Boole, Geo.      20 404 600
Boolean Buddhism      577
Boomerangs      75 84 267 472
Bootstrapping      24 293Ч294 524 548
Bottom (recursion)      139Ч140 (see also УSkeletonsФ)
Bottom-up vs. top-down      48Ч49
Bottoming out      133Ч135 151 259 301 650
Boustrophedonic writing      168Ч169 176
Boxed systems      469Ч470 543
Boyle's law      308 (see also УGasesФ)
Brains as ATN-colonies      359
Brains as mathematical objects      559
Brains vs. minds      576 (see also УMindsФ УIntelligenceФ etc.)
Brains: ant colonies and      315Ч316 318 324Ч325 350 358Ч359
Brains: Epimenides paradox and      584Ч585
Brains: formal systems and      337Ч338 559Ч562 569Ч579 584Ч585 676 УFormal УBrains
Brains: frame and outer messages and      170Ч171
Brains: mappings between      341Ч342 345Ч346 369Ч382
Brains: music and      163
Brains: operating systems and      296
Brains: programmability of      302
Brains: rules and      26Ч27 676
Brains: suborgans of      340Ч341
Brains: thoughts and      337Ч365
Breton, Andre      700
Brouwer, Luitzen E.J.      404
Buddha-nature      233 234 238Ч244
Butterflies (Escher)      147Ч148
Buxtehude, Dietrich      335
Byrd, Donald      see УSMUTФ
Byron, Lord      25
C-A-G-E (melody)      156Ч157
C-system      65Ч67 71Ч72
CAGE (acronym)      174Ч175
Cage, John      156Ч157 163Ч164 167 174Ч175 556 699Ч700 704
Calculating prodigies      see УIdiots savantsФ
Canon by Intervallic Augmentation      525
Canons in Goldberg Variations      392
Canons in Musical Offering      7Ч10 726Ч727
Canons: copies and      8Ч9 146
Canons: Dialogues and      665Ч669 738
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