The Beginning of Infinity

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The Beginning of Infinity Page 58

by David Deutsch


  dark 36, 46, 67

  ordinary 45–6

  prominent 73

  Maxwell, James Clerk 255

  measure theory for infinite sets 102, 178–83, 277–8, 281, 283, 287, 303, 453, 458

  for histories 301, 303, 307, 454, 455

  measurement 11, 35, 62, 68, 72, 99, 108, 158, 183, 274, 299, 309, 316, 338, 340, 357, 443

  errors 140–42, 298, 321–3; see also fallibility; fooling ourselves

  see also proxies

  measuring instruments 18, 34–41, 179, 192, 269, 294–5, 308, 446

  human sensory systems as 40

  SETI 72–3

  see also microscopes; telescopes

  Medawar, Peter 193

  Medici, Lorenzo de’ 218, 429

  Medici family 218–20

  Mediocrity, Principle of 43–4, 45, 51–4, 64, 76, 101, 110, 166, 434

  memes 93, 94–5, 105, 369–72

  in animals see aping; parroting

  anti-rational 81, 381, 385, 388–90, 391–3, 394–396, 397, 413, 428, 457

  compared with viruses 384

  creativity and in meme replication 402–15, 416

  evolution of 372–8, 383, 390, 393, 400, 412–13

  faithful replication of 257, 370, 374, 377, 378–80, 382–4, 390, 405, 413

  generations of 376, 379

  and genes 372–97, 404, 405, 407, 408, 413, 414

  living with 394–6

  long-lived 222, 370, 377, 380, 382–3, 384, 387, 388, 394, 399

  memeplexes 93, 105, 374, 384

  mutual enhancement of creativity and meme transmission 400

  in pre-humans and early humans 50, 55, 72, 207, 399, 412–13, 414

  puzzle of how they can possibly be replicated 402–10

  rational 388–90, 392, 393, 396, 397

  ‘selfish’ 378–9, 387

  slavery to 130, 383, 384, 392

  Messenians 218

  Michelangelo 219

  Michelson, Albert 198–9, 445–6

  micro-organisms 82, 196, 425, 436

  bacteria 82, 145, 162, 436

  microprocessors see computers/computation

  microscopes 34, 37, 38, 39, 220, 312, 324, 355

  microwave background radiation 46, 47, 68

  Milky Way 1, 2, 47, 70–71, 101, 202–3

  Mills, Roger Q. 333, 334

  mind–body problem 117–22, 130

  minds, animal 320–21

  see also memes, in animals

  mirages 228, 229, 231

  mirror neurons 405–6, 408, 414

  mirrors, semi-silvered 286–7

  momentum 55, 273–4, 297

  moon 24, 55, 57–8, 61–3, 66, 67, 68, 74, 143, 215, 366, 373

  morality see moral philosophy

  moral philosophy vii, 51, 64, 120–2, 123, 211, 235, 240, 254, 371, 388, 405, 428, 441, 455, 459

  and ‘a dream of Socrates’ 229–32, 234–5

  moral education 230–31

  moral imperative 235

  moral knowledge 63, 229–31, 240, 254

  more-preferred-less-seats paradox 339

  Morley, Edward 199

  motion, quantum-mechanical see quantum theory

  Mozart, Wolfgang Amadeus 353, 354, 356

  multiple universes 3, 198, 254, 258–303, 303–4, 305–6

  and the Bohm theory 310

  close to common sense 266, 299

  fictional variations on the doppelganger idea 258–62, 270

  first proposed by Schrödinger 310

  Everett 310

  inter-universe communication 258, 262, 270–72, 276

  Lyra multiverse thought experiment 179–80, 181

  account of the theory 262–92

  ‘parallel’ universes 98, 98n, 198, 258, 261–270, 291, 293, 303, 452

  multiverse 3, 98n, 180, 194, 258–304, 305, 307, 452n, 460, 461

  other than those of the quantum multiverse 98–106, 98n, 177–183, 195, 450–52, 452n

  probability, prediction and 99–103, 177–80, 195, 276–8

  and the quantum suicide argument 453

  see also histories

  music 93, 136, 353, 354, 355–6, 357, 365–6, 369

  banning of 219

  notation 142

  mutations 78, 79, 89, 90, 96, 156, 162, 375, 399

  simulated 162

  myths 12, 15, 19–21, 22, 24, 25, 26, 30, 32, 54, 60, 228, 314

  of a Golden Age 52, 63

  Nagel, Thomas 367

  nanotechnology 144, 196

  narratives 314

  natural numbers 118, 123, 165, 167, 169–70, 171, 172, 176, 177, 184, 194, 195

  natural selection 52, 56, 58, 78, 87, 89, 91–2, 160, 210, 372

  see also sexual selection

  nature, laws of vii, 5, 7, 18, 43, 56, 59, 66, 69, 75, 76, 94, 103, 106, 111, 113, 164, 175, 179, 188, 205, 220, 358, 411, 413, 444, 445

  Bohr’s 308

  constants 62, 97–104, 106, 179, 199, 294, 452–3; see also fine-tuning of the universe/laws of physics

  Lamarck’s 88

  no barrier to progress 212, 413, 423, 445

  regularities in 16, 56–7, 69, 94, 98, 111, 183, 355, 361, 411

  see also physics: laws of

  Nazism 205, 371

  Neanderthals 49, 206

  necessary truths 183

  nectar 360, 361

  neo-Darwinism 79, 89–92, 95, 103, 104–5, 374, 446

  and knowledge 93–6

  nerves see neurons

  nesting birds 89–91

  neurons 10, 80, 114, 138, 269, 405

  mirror neurons 405–6, 408, 414

  neutrinos 2, 52

  neutron stars 97, 38, 113, 290

  neutrons 97

  Newton, Isaac 55, 61, 164, 181, 198–9, 444, 446, 447

  explanation of planetary motion 112, 113

  survival of his laws 388, 390

  and time 312

  translation of his laws into English 373

  nirvana 65

  no-go theorems 334, 335–6, 339

  Arrow’s theorem 336–8, 340–41, 343, 345, 351

  regret over 343

  versus creating new options 351

  nuclear fusion 61, 67

  nuclear power 1, 44, 66, 67, 198, 439

  nuclear weapons 2, 6, 139, 196, 205

  nucleus 39, 258, 290

  numbers

  natural see natural numbers

  odd and even 108, 169–70, 176

  prime see prime numbers

  random 161, 162, 197, 269, 283, 331, 454

  real 170–71 see also continuum

  numerals 128–33

  obedience 123, 130, 218, 345, 359, 382, 391–2, 402

  objective beauty 122, 353–68

  objective knowledge see knowledge, objective

  and empiricism 4–29, 39, 403

  and explanation 26

  and moving closer to reality 34–41

  and quantum theory 308

  role in providing problems 17

  role in science 4, 32; see also experimental testing

  theory-free 39

  theory-laden 10, 30, 38–41, 165, 199

  Occam, William of (razor) 25

  old age 213, 415

  problem of ageing 213–14

  omega-point universes 450–51

  open society 216, 460

  see also societies, dynamic

  optics 7, 39, 54

  see also telescopes; microscopes, eyes

  optimism 4, 196–222, 344, 423, 434, 435, 445

  blind 201, 221

  and blind pessimism 201–4, 208, 210, 216

  duty of 196, 215

  history of 216, 220–21

  about knowledge 204, 212–15, 424, 447

  original use of the term (Leibniz) 199–200

  of a society 208–22, 390, 424, 431

  principle of 212–13, 319, 389

  orbits 23, 28, 44, 73, 112, 113, 290–91

  original sources of theories 255–6r />
  oxygen 57, 61

  Page, Don 299

  pain 10, 11, 217, 320, 381

  painting 219, 355, 356, 357, 367, 392

  palaeontology 49, 315–16, 383, 400

  Paley, William 84–7, 91, 92, 96–9, 106, 363

  see also design, appearance of

  Palomar Sky Survey 34, 37–8

  pandemics/epidemics 196, 208, 418, 436

  see also Black Death

  parallel universes see multiple universes

  the paranormal 324

  a television psychic’s predictions 279

  see also magic; the supernatural

  parochialism 29, 39, 44, 46, 55, 66, 67, 70, 76–7, 81, 98, 101, 118, 124, 206, 207, 213, 231–2, 279–80, 428, 436, 443

  finitism 164, 165–6

  the future and the shedding of 444–5, 459

  of the Principle of Mediocrity 51–4

  in quantum theory 310

  leading to more general concerns 11, 56, 69, 108, 114, 127–8, 133–6, 140, 146, 199, 299–300, 303, 336–7, 354, 361, 364–6, 387–8, 418, 427–8

  seen as problematic in the Enlightenment 133–4

  of the Singularity idea 446–7

  of the Spaceship Earth idea 167

  see also anthropocentrism; rules of thumb

  parrots/parroting 405, 406–7, 408–9, 410

  see also imitation

  Parthenon 217, 250n

  particles, elementary 3, 11, 43, 67, 108, 118, 288, 293, 450

  accelerators 39, 197

  as configurations 267

  cosmic rays 68, 293–4

  identity loss 287–9

  interaction between charged particles 96, 290–91

  and interference 287–8; see also interference, quantum

  speed and 289–90

  and waves/fields 291, 307, 319

  see also atoms; electron(s), photons, quantum theory

  Pasteur, Louis 82

  peacock’s tail 91–2, 361, 401

  people vii, 42, 43, 44, 45, 56, 59, 60, 64, 65, 75, 76–7, 85, 157, 354, 416

  as abstractions 123, 454

  and atoms 306

  cosmic significance of 72–74, 458, 459

  as a disease or cure 435

  ultimate reach of 66, 69–71, 146

  as universal explainers 146, 164, 416, 429

  see also humans; extraterrestrials; artificial intelligence

  people, the 209, 217, 326, 329, 335–8, 344, 350, 352

  perception see sensory experience; interpretation

  perfection 66, 80, 102, 119, 142, 189, 199, 232, 238, 248, 333, 343–4

  perfectibility 65, 366, 445

  perfectly identical see fungible

  Pericles 217–8

  Persephone myth 19–21, 22, 24, 25, 60

  perspiration phase of research see inspiration/perspiration

  pessimism 166–7, 217–18, 316, 350, 421, 431–5, 445–6, 449

  blind (precautionary principle) 201–4, 208, 210, 216, 221,

  end of 216, 221; see also Enlightenment

  pessimistic bias of prophecy 198, 206, 320, 444

  philosophical 200

  phantom-zone stories 259, 261, 263–4, 283

  philosophy viii, 4–5, 9, 12, 14, 18, 35, 64, 70, 153, 163, 192–3, 201, 209, 218, 226, 235, 239, 251–2, 255, 359, 366, 369, 370, 398, 405, 423, 456

  Athenian 83, 216–18

  bad, preventing knowledge growth 26, 110, 166, 305–23, 324, 325, 436, 448–9

  counteracted by progress 324

  quantum theory and 305–6, 307–11

  good 311, 312, 324–5

  and good explanations 26, 119–20

  history of ideas 43, 65–6, 153, 209, 216, 311–12, 255, 256, 390–91, 428, 442

  linguistic 313, 325

  reductionism in 122, 425

  role of evidence in 209

  of science 5, 15, 120, 403

  of the unknowable see optimism

  see also specific philosophers and philosophies

  Phoenicians 127

  phosphors, red 433–4

  photographs

  aesthetics and 357

  astronomy and 34–8

  photons 266, 267, 273–4, 275, 294–5, 306, 309, 452

  see also light; Mach–Zehnder interferometers

  physics

  astrophysics see astronomy; astrophysicists; astrophysics

  atomic 312

  and the complexity of everyday events 107

  infinity in see infinity: physics and; singularities; Zeno’s mistake

  connection between computation and 138, 142, 187, 189–92, 195, 295–6

  constants of 62, 97–104, 105–6, 177, 179, 180, 199, 283, 294, 446, 452–3

  fine-tuning see fine-tuning of the universe/laws of physics

  counter-intuitive theories of 27, 107, 195, 199, 265–7, 279, 304, 306–7

  elementary particle physics see particles, elementary

  and infinity 164, 177–81, 182–3; see also singularities

  laws of 3, 6, 43, 54, 61, 65, 67, 69, 70, 71–2, 83, 87, 104, 110, 137, 186–91, 364, 425, 434, 437, 454, 458, 459

  as abstractions 122–3, 458

  conservation of energy 61, 109

  deterministic nature of 136, 200, 263, 265, 275, 304, 358–9

  are not evils 123, 193, 213

  fine-tuning see fine-tuning of the universe/laws of physics

  and the mind–body problem 117–22, 130

  second law of thermodynamics 110, 111

  determine simplicity and complexity 187

  need to be specific 79

  our window on abstractions 185–8; see also nature: laws of

  and proof 183, 185, 187–8, 195

  quantum see quantum theory

  pictograms 125–7, 130, 134

  Pitcairn Island 418–19, 430

  planets 2, 28, 35–6, 43, 44–6, 63, 68, 71, 73, 96, 97, 101, 112–13, 216, 273, 290, 292, 373, 411

  plasma 46, 69

  Plato 119, 187, 216, 223n, 253–5

  and ‘a dream of Socrates’ 243–7, 249–53

  plurality (first-past-the-post) voting system 346–50, 352

  political philosophy 12, 209–12, 217–18, 342

  Popper’s criterion of ridding ourselves of bad governments without violence see under Popper, Karl

  rulers 209–12, 251–2, 344

  society-wide planning and decision-making 335–51

  see also voting; representative government

  Polynesians 419, 421, 427

  Popper, Karl 4, 10, 14, 17–18, 66, 104–5, 114,, 210, 211, 215, 230n, 312, 403–4, 406, 409, 447, 460–61

  criterion of demarcation for science 14 see also testability

  criterion of ridding ourselves of bad governments without violence 209–12, 344–51, 352, 396, 423

  on our infinite ignorance 447

  on instruction 411–12

  on ‘sources of knowledge’ 209

  theory of knowledge in ‘a dream of Socrates’ 223–54

  letting theories die in our place 114, 124

  and optimism 196, 212, 215

  on prediction and prophecy 198

  on ‘who should rule’ 209

  ‘Population, Resources, Environment’ (lecture by Ehrlich) 431–2, 440

  populations 48–9, 50, 55, 58, 418, 421, 422, 428, 437

  and evolution 89–92, 93, 106, 378–9, 383–4, 401

  Malthus on resources and 205–6, 214

  paradox 330–31, 334, 337, 339, 346

  in the US Constitution 326–30, 338, 349, 350, 351

  Porter, Roy 66, 457, 461

  positivism 312, 313, 325

  logical 313, 314, 325

  postmodernism 314, 448

  potential infinity 165

  ‘potentialities’, quantum 309

  precautionary principle see under pessimism

  predators 48, 52, 89, 91, 144, 203, 359, 360–61

  predictions 5, 6, 7, 8, 11, 17, 20–22, 24, 44, 136, 153, 175,
181, 182, 189, 206, 256, 277–8, 281, 293, 300, 300, 322, 359, 415, 451

  and anthropic reasoning 99–103, 178, 179–80

  of Darwinism 96, 371

  and explanation 27–9, 70–73, 112–13, 116, 117, 209, 324

  high-level 107–9, 110

  and instrumentalism 15–16, 112

  fundamental limitations on see unpredictability

  low-level 107–9

  and multiple universes 99–103, 177–80

  and prophecy 198, 432, 439

  Malthusian prophetic fallacy 206, 214, 432; see also prophecy

  pure see rules of thumb

  not the purpose of science 14–15

  quantum theory and 307, 315

  useless when separated from explanation/interpretation 22, 315–16, 325

  by supercomputer simulation 107, 437–9, 441

  testable 13, 14–15, 27–8; see also experimental testing

  preferences 21, 122, 335–46, 350, 353, 359, 379, 382, 386, 388, 391, 453

  aesthetics and 356, 363, 366

  of a group 336–7, 345–6; see also will of the people

  in mating see sexual selection

  prehistory 12, 62, 95–6, 128, 206, 220, 399–400, 416, 426, 428

  prey 55, 57, 144, 203, 360–61, 411

  priests 4, 209, 223, 226, 345, 413

  primates 57, 80

  see also apes/aping

  prime numbers 115–19, 185–6

  prime pairs conjecture 185–6

  Principle of Mediocrity 43–4, 45, 51–4, 64, 76, 101, 110, 166, 434

  printing 134, 136, 137, 143

  movable-type 134

  privilege

  among abstractions 165, 175, 186, 190–91, 378

  among people 175, 223n, 328–39, 346

  among animals 35, 408

  see also authority

  probability 5–6, 9, 31, 99–100, 150, 277–8, 452–3

  and infinity see under infinity

  and multiple universes see under multiple universes

  problems 31

  connectedness of different kinds 63

  and decision-making 341–2

  are inevitable 61, 64, 66, 97, 192, 206, 208, 211, 222, 311, 423, 435–6, 437

  insoluble problems 53, 193, 213

  and optimism 197–222, 435

  problem solving 17–18, 62, 64–5, 432

  and the plurality voting system 350

  positive conception of 17–18, 446–7

  are soluble 65, 66, 76, 141, 154, 191–3, 208, 211, 212, 222, 311, 345, 423, 435

  in mathematics 185, 191–3

  programs see computer programs

  progress

  artistic 355–6, 367

  to better problems 447

  celebration of 419

  conditions for vii–viii, 12–13, 14, 19, 22, 32, 122–3, 203, 211, 217, 312, 320, 321, 344, 346, 385, 429, 456, 459

  in cosmology, recent 450

  counteracts bad philosophy 324

  critics of ‘so-called progress’ vii, 390, 394, 434, 436, 449

 

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