Index

Affective tone, 175–177, 207

Aircraft, military, 8–11

Alpha rhythm of brain, 34, 195, 273

“A Mathematical Theory of Communication,” xxi

Amazon, xviii

Amount of information, 86–91, 127–128

Analogy machines, 161, 165–166

Anthropology, 27–28

Anticipatory feedback, 153

A posteriori knowledge, 87

A priori probability, 86–87

Artificial intelligence and neuroscience, xvi, xxxiii–xxxiv

Artificial limbs, 38

Astronomy, 43–50

gravitational, 51

Astrophysics, 48–49

Ataxia, 12–13, 129–130

Autocorrelation, 254–259

of brain waves, 259–265

Automata, 57–62

coupled to the external world, 60–61

God and, 58–59

nineteenth-century study of, 59–60

Automation, x–xi, 39

in early science, 56–57

literal-minded computers and, xii

speed of, xii

Background noise, 16

Barlow, John S., xlvii

Bartlett, F. C., 34

Bateson, Gregory, 36

Bergson, Henri, 62–63

Bigelow, Julian H., 10, 11, 13, 14, 18, 23

Blind persons, reading by, 33, 191–192

Blueprints, xliv–xlvi

Bohr, Niels, 53

Borel, Emile, 65

Bose, Amar, xli

Boyd, Constance D., xlvi

Braille, 33, 191–192

Brain. See also Nervous system

alpha rhythm of, 34, 195, 273

comparison of human versus lower mammal, 210–214

death effects on, 205

functional and organic disorders of, 202–203

handedness and, 211–213

higher mental functions in, 202

injury to, 13, 212

neurons of, 165–166, 203–204, 209–210

power consumed by, 181–182

shock treatment of, 205–206

sleep effects on, 205

synapses of, 20–22, 25, 29, 165–166, 171, 271–272

Brain waves

autocorrelation of, 259–265

defined, 251–252

fireflies experiment and, 275–276

harmonic analysis of, 254, 263, 275

magnetic tape for recording, 254–255

oscillators of frequencies, 273–274

sampling problem, 265–271

self-organization of, 251, 277–279

technology for measurement of, 252–254

Brazier, Mary A. B., 255

Bread-and-Butter Fly, 176

British empirical school of philosophy, 174

Brownian motion, xxv, xxvi, 120

time series, 98–105

Brynjolfsson, Erik, x

Bulletin of Atomic Scientists, xvi

Bush, Vannevar, 6, 8, 10, 22, 219

Bush differential analyzer, 161

Butler, Samuel, 39–40

Calculus ratiocinator, 19

Caldwell, Samuel, 10

Cannon, Walter B., 3, 25

Cantor, Georg, 67

Carroll, Lewis, 176

Cars, automated, xii

Cathode-ray oscillographs, 253

Chain of transmission and return of information, 129–131

Channel capacity, xxii

Character groups, 75–76

Chávez, Ignacio, 25, 32

Checkers, 238

Chess-playing machines, 228–230, 236–237

Chess theory, 236

Clerk Maxwell, James, 18, 132

Clonic oscillation, 30–31

Collation mechanisms, 200–201

Colonies. See Communities

Communal information, 219–221

Communication, methods of, 223–224

triple constriction of, 224–225

Communication engineering, 14–17

message-noise problem in, 93–94

Communication technologies, xi

Communities, 215–216

group information in, 219–221

homeostasis in small, closely knit, 222–223

intercommunication in, 216–217

social sciences and, 227–228

Computation errors, correction of, 200

Computing machines, 7, 8, 19–21, 34, 39, 56, 61, 85, 86

as analogy machines, 161, 165–166

brain as, 20–22, 25, 29, 165–166, 171

conditioned reflexes in, 178–179

contingencies affecting operation of, 163–164

data inserted at beginning in ideal, 162–163

defined, 159

as essential for the war effort, 22–23

game-playing, 228–230, 234–239, 241–242

induction by, 172–173

learning apparatus in, 179–181

logic of, 173–174

mathematical logic and, xxiii–xxiv, 19–20

memory and, 166–169

numerical, 161–162, 194

pathological processes in, 204

power consumed by, 181–182

for recording information, 159–161

relays used in, 164

for solution of partial differential equations, 6, 161, 180–181

telegraph-type repeaters, 168–169

two great types of, 161

Conditional probabilities, 96–97

Conditioned reflexes in computing machines, 178–179

Conductivity, phenomena of, 25–26

Conscience, 205

Control by informative feedback, 154–155

Control systems, 132–133

Conway, Flo, xiv, xvii

Cybernetics, or Control and Communication in the Animal and the Machine

on cybernetics as lingua franca of animals and machines, xv–xvi, xxi–xxii

first reissue of, ix

Greek origin of name Cybernetics and, 18

moral position of, 41–42

preface to second edition of, xxxv–xlvii

Dark Hero of the Information Age, xiv

Darwin, Charles, 51–53

Darwin, George, 50, 52

Davis, James W., xlvii

Death effects on the brain, 205

De Santillana, G., 35

Descartes, René, 57–58

Discrete time series, theory of, 121–125

Dubé, Georges, 42

Durchmusterung, 44–45

Dynamics, 174–175

Effective boundary, 137

Electrical currents and circuits, xxxvi, xxxvii, 29, 246–247

Electroencephalography, 253–254

Electrophysiology, 252–253

Energy

computing machine, 181–182

human, 59–60, 181–182

Engineering, ancient, 54–55

Entropy, 80–83, 88, 90

Ergodic hypothesis, 71, 77–80

Ergodic transformations, 78–80

Ericsson, M., 27

Evolution, Darwinian, 51–52

Ex-Prodigy: My Childhood and Youth, xiv, xvii

Exterior points, 137

Facebook, xi, xii, xviii

Feedback control, xxx, 11–12, 152

double system of, 146

Feedback(s)

affective tone as, 176–177

anticipatory, 153

chain of transmission and return of information as, 129–131

compensator and effector, 153–155

complicated system stabilized by two, 144–145

control by informative, 154–155

differential operators and ranges of, 139–143

double system of control and, 146

eye-muscle, 184–185

homeostatic, 156–157

in human animal reflexes, 153–154

infinity and, 137–138

information and, 132–133

interior points and, 137–139

mathematics of, 133–137

mechanical systems of, 132–133

negative, 132

oscillations due to excessive amount of, 148

of voluntary activity, 132, 146–147

Feedback systems, information, xxviii–xxix

Ferromagnetism, 169–170

Filtering problem, time series, 114–121

Fireflies, 275–276

First-order programming, 238–239

Fisher, R. A., 17

Fourier transformation, 105–108, 115–119

Fremont-Smith, Frank, 26–27

Frequency modulation, 255

Freud, Sigmund, 178

Functional disorders, 202–203

Gabor, Dennis, xli, xliii–xliv, 246, 248

Game-playing machines, 228–230, 234–239, 241

Games

checkers, 238

chess, 228–230, 236–237

magic, 242–244

physical contests as, 241–242

struggle activities as, 239–241

war as, 235–236, 242, 245

Game theory, 235–236

Gas flow rates, 149–150

Gauss–Markov processes, xxvii

Generators, output of, 276–277

Gestalt, 27, 33, 37, 191, 194

Gibbs, Willard, xviii, 53–54, 70

ergodic hypothesis of, 71

statistical mechanics work of, 65–67, 70–71

on transformation groups, 71–76

God, 57–59

Goethe, Johann Wolfgang von, xix, 243

Google, xviii

Greed, xiii

Group information, 219–221

Group scanning, 189–191

Haldane, J. B. S., 34, 128

Handedness, 211–213

Harmonic analysis, 34–35, 254, 263, 275

Harrison, George, 32

Harvard Business Review, x

Hayles, N. Katherine, xvi

Hearing, sight replaced by, 196–197

Heims, Steve J., xvi, xviii

Heisenberg, Werner, 53

Hey, W., 43

Homeostasis, 156–157

in small, closely knit communities, 222–223

Human body, energy of, 59–60

Human logic, 173–174

Hume, David, 174, 183

Huxley, Julian, 234

I Am a Mathematician, xv

Ikehara, Shikao, xlvi

Induction, 172–173

Industrial revolutions, 40–41

Infinity, 137–138

Information

amount of, 86–91, 127–128

chain of transmission and return of, 129–131

and communication as mechanisms of organization, 27–28

conveyed in odors, 217

Information (cont.)

group, 219–221

statistical theory of amount of, 16–17

storage of, 166–171

various forms of communication of, 217–219

Wiener’s definition of, xxiv–xxv

Information feedback, xxviii–xxix

Intercommunication in organizations, 216–217

Interior points, 137–139

Internal noise of receiving system, 119

Invariants of the group, 74

Ito, xxvi

Jacobs, W. W., xix, 243

Kalman, R. E., xxvii

Kalman–Bucy filter, xxvii

Kipling, Rudyard, xviii, 239–240

Koopman, 77, 79

Kotelly, John C., xlvii

Learning machines, xlii–xlv, 179–181

games and, 228–245

magic and, 242–244

Lebesgue, Henri, 65, 69

work on theory of trigonometric series, 67–68

Lee, Kai-Fu, x

Lee, Yuk Wing, xlvi, 6, 24

Leibniz, Gottfried Wilhelm, 4, 19, 58–59, 215

Lettvin, J., 21, 178

Lewin, Kurt, 27

Lies, 221–222

Limbs, artificial, 38

Lindsley, Donald B., 272

Linear control system design, xxvii–xxix

Linear invariants, 74, 77

Linear operations, 238–239

Linear prediction, theory of, xliii–xliv

Lobotomy, 205–206

Locke, John, 174, 175, 183, 187, 188

Logic, human, 173–174

Lorente de Nó, Rafael, 23

MacColl, L. A., 12, 144

Machina ratiocinatrix, 19

Magic, 57, 242–244

Magnetic tape, 254–255

Markov processes, theory of, xxvi

Mathematical logic, xxiii–xxiv, 19–21

Maxwell demons, xxix–xxx, 17, 81–83

McAfee, Andrew, x

McCulloch, Warren, 18, 20–21, 23, 27, 33, 37–38, 193, 194

Mead, Margaret, 28, 36

Measurement precision, 86–87

Mechanical feedback, 132–133

Memory, 166–170

functional and organic disorders and, 202–203

loss of, 203–204

sensory prosthesis and, 195–196

Message–noise problem, 93–94

Messages, theory of, 120

Meteorology, 44–47

cosmic, 50

tidal evolution and, 50–52

Metrically transitive transformations, 78–79

Michelson interferometer, 257–258

Mind, content of the human, 174

Minimization problems, 15

Momentum, 126

Moral position of Wiener on science, xvi–xvii, 41–42

Multiple time series, 97–98

Muscle action, 12–13, 25

artificial limbs and, 38

feedback and, 146–147

Mutual information, xxii

Negative feedbacks, 132

Nervous system. See also Brain

affective tone and, 175–177, 207

artificial intelligence and, xvi, xxxiii–xxxiv

ataxia of, 12–13, 129–130

chain of transmission and return of information in, 129–131

limits to organization of, 207

mathematical logic and, 20–22

memory and, 166–170

messages to, 177–178

neurons in, 165–166

synapses in, 20–22, 25, 29, 165–166, 171, 179, 271–272

tabes dorsalis of, 13, 129–130

treatment of discrepancies by, 201–202

vision and (See Vision)

Neurons, 165–166

lengths of chains of, 209–210

memory loss and, 203–204

Newtonian mechanics, 53–54

in astronomy, 45–50

New York Times, ix, xii

Nikodym, theorem of, 96

Noisy-channel coding theorem, xxiii

Non-linear prediction, xliii–xliv

Nonlinear Problems in Random Theory, xxxvii–xxxix, 247

Non-linear systems, xxxii–xxxiii, xxxvi–xli, 239

oscillations of frequencies in, 273–274

Non-linear systems of relaxation oscillations, 150–151

Non-linear transducers, 246–249

Northrup, F. C. S., 28

Numerical machines, 161–162, 194

“On Computable Numbers, with an Application to the Entscheidungsproblem,” xxi

Ontogenetic learning, 233–234

Organic disorders, 202–203

Organisms, multicellular, 215–216

Organizations. See Communities

Organ pipes, 148–149

Oscillation, 29, 30–31

of frequencies in non-linear mechanisms, 273–274

mathematics symbolism of, 133–137

non-sinusoidal, 148

in organ pipes, 148–149

relaxation, 149–150

Osgood, W. F., 70

Outline drawing recognition, 186–187

Paleontology, 51–52

Parkinsonism, 146

Partial differential equations, 6, 161, 180–181

Pascal, Blaise, 19

Pavlov, Ivan, 175

Pfeiffer, John, ix

Phase average, 95–96

Phosphorescence, 170

Photocells, 193

Photography, 169, 170, 187

Phylogenetic learning, 233–234, 251

Physical contests as games, 241–242

Pitts, Walter, 20–21, 23, 26, 33, 42

Planck’s law, 53

Prediction

linear and non-linear, xliii–xliv

time series problem, 110–114, 120

Prefrontal lobotomy, 205

Principle of Uncertainty, xviii, 15

Probabilities, conditional, 96–97

Probability, a priori versus a posteriori, 86–87

Probability density, 90–93

Probability zero, 66–67, 96

Proofs, logical, 173

Psychology, 171–172

Psychopathology

commonalities between the brain and computing machines and, 199–200

distinction between functional and organic disorders in, 202–203

traffic jams and, 207–209

Ptolemaic geocentric system, xxxvii

Purpose tremor, 13, 146

Quantum degeneracy, 170

Quantum mechanics, 125–126

Raisbeck, Gordon, xlvi

Ramos, F. Garcia, 26

Random noise, xxxix–xl

Reading by blind persons, 33, 191–192

Reflexes, feedback in, 153–154

Relaxation oscillation, 149–150

non-linear systems of, 150–151

Robinson, Charles E., xlvii

Rosenblith, Walter A., 255, 274

Rosenblueth, Arturo, 3, 4–6, 8, 13–14, 17–19, 23, 25–26, 31

Royce, Josiah, 4

Russell, Bertrand, 173

Salivation, 175

Samuel, A. L., xliv

Sandberg, Henrik, xxx

Scanning process, 7, 168–169, 189–190

Science, xii

Scientific fields, Wiener on boundaries of, 4–6

Scientific judgment, 36–37

Second law of thermodynamics, xxxii

Second-order programming, 238–239

Self-organization of brain waves, 251, 277–279

Self-organization of genes, xlii, xlvi

Self-propagating machines

defined, 245–246

electrical currents and, 246–247

non-linear transducers and, 246–249

shot-effect inputs and, 247–248

Selfridge, Oliver G., 26, 42, 178

Senses, human. See Smell, sense of; Vision

Sensory prosthesis, 191, 195–196

Servomechanisms, 29

Shannon, Claude, xv–xvi, xxi, xxii–xxiii, 17, 20–21, 119

Shockley, William, xxi

Shock treatment, 205–206

Shot-effect inputs, 247–248

Siegelman, Jim, xiv, xvii

Similarity, theory of, 183, 187

Skyscrapers, 207–208

Sleep, 205

Smell, sense of, 217

Social sciences, 227–228

Social systems, communication within, 35–36

Sociology, 27–28

Statistical mechanics, xxix–xxxii

character groups in, 75–76

entropy and, 80–83

Gibbs’ work on, 65–67

Lebegue’s work on trigonometric series and, 67–68, 69

Maxwel demons in, 81–83

time average in, 70

transformation groups in, 71–76

Steam engines, 56

Stock market, xii–xiii, 228

Storage of information, 166–171

Struggle activities as games, 239–241

Symbolism of mathematics, 133–137

Synapses, 20–22, 25, 29, 165–166, 171, 179

nerve fibers carrying, 271–272

Szent-Györgyi, Albert, 128

Tabes dorsalis, 13, 129–130

Taylor, G. I., 254

Telegraph-type repeaters, 168, 187

Telephone circuits, 85–86, 94, 208

Tesla, xii

The Computer and the Brain, xxi

The Human Use of Human Beings, xiii, xvii, xxxvi, 243

“The Sorcerer’s Apprentice,” xix, 243

Tidal evolution, 50–53

Time, 47–48, 54

Time average, 70

Time series

applications of, 85–86

Brownian motion, 98–105, 120

conditional probabilities and, 96–97

defined, 94–95

filtering problem, 114–121

Fourier transformation, 105–108, 115–119

multiple, 97–98

prediction problem for, 110–114, 120

theory of amount of information and, 127–128

theory of discrete, 121–125

zeros in, 109–110

Traffic jams, 207–209

Transformation groups, 71–76

visual perspective, 188–191

Transformations, ergodic, 78–80

Trigonometric functions, xxxvii–xxxix, 65

Lebesgue’s work on, 67–68

Trump, Donald, xix

Tube noise, 247

Turing, Alan, xxi, 34, 173

Uber, xii

Vallarta, Manuel Sandoval, 4, 25

Vision

concentration of visual information in, 185–186

eye-muscle feedbacks in, 184–185

group scanning in, 189–191

outline drawing recognition and, 186–187

reading by persons without, 33, 191–192

replaced by hearing, 196–197

sensory prosthesis and, 191, 195–196

stages in diagrammatization of impressions in, 187–188

transformations in, 188–189

Visual flicker, 273

Vitalism, 54, 63

Vocoder system, 85–86, 94

Volta and Galvani, 252

Voluntary activity, 12–13

feedback of, 132, 146–147

Von Neumann, John, xxi, 28, 77, 79, 180, 220–221, 245

game theory of, 235–236

Wallace, Alfred, 52

War as game, 235–236, 242, 245

Watanabe, S., xliv, 239

Wave problems, 23–24

Weaver, Warren, 23

Webster, Frederic, 42

Wiener, Leo, xiv

Wiener, Norbert

as child prodigy, xiv–xv

collaborators with, xv, 3–8

contributions to mathematics by, xxiii–xxiv, 19–21

depression experienced by, xvii–xviii

design of linear control system and, xxvii–xxix

on greed, xiii

information defined by, xxiv–xxv

introduction by, x

on mass media of his day, xi

non-linear systems and, xxxii–xxxiii, xxxvi–xxxvii

overt warnings about technology, xi, xviii

prophecy of, through Cybernetics, ix–xi

recognition of uncertainty, xviii, 15

stances against science taken by, xvi–xvii

statistical mechanics and, xxix–xxxii

Wiener filtering, xxv–xxvii

Wiener–Hopf equation, xxvi, 239

Wiener measure, xxiii–xxiv

World War III, 242

YouTube, xviii

Zuckerberg, Mark, xi