Chapter 11

discerned events embracing the whole present duration, but there is a significance of a cogredient event involving its extension through a whole time-system backwards and forwards. In other words the essential 'beyond' in nature is a definite beyond in time as well as in space [cf. pp. 53, 194]. This follows from my whole thesis as to the assimilation of time and space and their origin in extension. It also has the same basis in the analysis of the character of our knowledge of nature. It follows from this admission that it is possible to define point-tracks [_i.e._ the points of timeless spaces] as abstractive elements. This is a great improvement as restoring the balance between moments and points. I still hold however to the statement in subarticle 35.4 of the _Principles_ that the intersection of a pair of non-parallel durations does not present itself to us as one event. This correction does not affect any of the subsequent reasoning in the two books.

I may take this opportunity of pointing out that the 'stationary events' of article 57 of the _Principles_ are merely cogredient events got at from an abstract mathematical point of view.

INDEX

_In the case of terms of frequent occurrence, only those occurrences are indexed which are of peculiar importance for the elucidation of meaning._

A [_or_ an], 11

Abraham, 105

Absolute position, 105, 106, 114, 188

Abstraction, 33, 37, 168, 171, 173; extensive, 65, 79, 85

Abstractive element, 84; set, 61, 79

Action at a distance, 159, 190

Action by transmission, 159, 190

Active conditions, 158

Activity, field of, 170, 181

Adjunction, 101

Aggregate, 23

Alexander, Prof., viii

Alexandria, 71

Alfred the Great, 137

Anticipation, 69

Anti-prime, 88

Apparent nature, 31, 39

Area, 99; momental, 103; vagrant, 103

Aristotelian logic, 150

Aristotle, 16, 17, 18, 24, 197

Associate-potential, 183

Atom, 17

Attribute, 21, 26, 150

Awareness, 3

Axiom, 36, 121

Axioms of congruence, 128 et seqq.

Bacon, Francis, 78

Behaviouristic, 185

Bergson, 54

Berkeley, 28

Between, 64

Beyond, 186, 198

Bifurcation, vi, 30, 185, 187

Boundary, 100; moment, 63; particle, 100

Broad, C. D., viii

Calculation, formula of, 45, 158

Cambridge, 97

Causal nature, 31, 39

Causation, 31, 146

Centrifugal force, 138

Change, uniformity of, 140

Character, extrinsic, 82, 89, 90, 113, 191; intrinsic, 80, 82, 90, 113, 191

Charge, 160

Closure of nature, 4

Coefficient of drag, 133

Coefficients of impetus, 183

Cogredience, 110, 188

Coherence, 29

Comparison, 124, 125, 143, 189

Complex, 13

Conceptual nature, 45; space, 96

Concrete facts, 167, 171, 189

Conditioning events, 152

Conditions, active, 158

Congruence, 65, 96, 118, 120, 127, 196

Continuity, 157; Dedekindian, 102; of events, 76; of nature, 59, 76

Convention, 121

Convergence, 62, 79; law of, 82

Conveyance, 154, 155

Co-present, 177

Covering, 83

Creative advance, 178

Critical velocity, 193, 195

Curvature of space-time, 182

Cyclone, 194

Dedekindian continuity, 102

Definite, 53, 194, 198

Delusions, 31, 38

Delusive perceptual object, 153

Demarcation of events, 144

Demonstrative phrase, 6

Descriptive phrase, 6, 10

Differential equations, 196

Discrimination, 14, 50, 144

Diversification of nature, 15

Duddington, Mrs, 47

Duration, 37, 53, 55, 186

Durations, families of, 59, 73, 190

Dynamical axes, 138

Einstein, vii, 102, 131, 164, 165, 181, 182, 183, 184, 191

Electromagnetic field, 179

Electron, 30, 146, 158, 171

Element, 17; abstractive, 84

Elliptical phraseology, 7

Empty space, 145

Entity, 5, 13

Equal in abstractive force, 83

Error, 68

Ether, 18, 78, 160; material, 78; of events, 78

Euclid, 85, 94, 197

Euler, 140

Event, 15, 52, 75, 165; percipient, 107, 152, 186

Event-particle, 86, 93, 94, 172, 191

Events, conditioning, 152; continuity of, 76; demarcation of, 144; ether of, 78; infinite, 197, 198; limited, 74; passage of, 34; signified, 52; stationary, 198; stream of, 167; structure of, 52, 166

Exclusion, 186

Explanation, 97, 141

Extended nature, 196

Extension, 22, 58, 75, 185

Extensive abstraction, 65, 79, 85

Extrinsic character, 82, 89, 90, 113, 191; properties, 62

Fact, 12, 13

Factors, 12, 13, 15

Facts, concrete, 167, 171

Family of durations, 59, 63, 73; of moments, 63

Faraday, 146

Field, gravitational, 197; of activity, 170, 181; physical, 190

Finite truths, 12

Fitzgerald, 133

Formula of calculation, 45, 158

Foucault, 138, 194

Four-dimensional manifold, 86

Fresnel, 133

Future, the, 72, 177

Galileo, 139

Geometrical order, 194

Geometry, 36; metrical, 129

Gravitation, 179 et seqq.

Gravitational field, 197

Greek philosophy, 16; thought, 197

Gyro-compass, 194

Heath, Sir T. L., 197

Here, 107

Idealists, 70

Immediacy, 52; of perception, 72

Impetus, 181, 182; coefficients of, 183; integral, 183

Inclusion, 186

Individuality, 13

Infinite events, 197, 198

Inge, Dr, 48

Ingredient, 14

Ingression, 144, 145, 148, 152

Inherence, 83

Inside, 106

Instant, 33, 35, 57

Instantaneous plane, 91; present, 72; spaces, 86, 90, 177

Instantaneousness, 56, 57

Intersection, locus of, 90

Intrinsic character, 80, 82, 90, 113, 191; properties, 62

Ionian thinkers, 19

Irrelevance, infinitude of, 12

Irrevocableness, 35, 37

It, 8

Julius Caesar, 36

Junction, 76, 101

Kinetic energy, 105; symmetry, 129

Knowledge, 28, 32

Lagrange, 140

Larmor, 131

Law of convergence, 82

Laws of motion, 137, 139; of nature, 196

Leibnizian monadology, 150

Level, 91, 92

Light, 195; ray of, 188; velocity of, 131

Limit, 57

Limited events, 74

Location, 160, 161

Locke, 27

Locus, 102; of intersection, 90

London, 97

Lorentz, H. A., 131, 133

Lossky, 47

Manifold, four-dimensional, 86; space-time, 173

Material ether, 78; object, 169

Materialism, 43, 70

Matrix, 116

Matter, 16, 17, 19, 20, 26

Maxwell, 131, 133

Measurableness, 196; of nature, 193

Measurement, 96, 120, 174, 196; of time, 65, 140

Measure-system, 196

Memory, 68

Metaphysics, 28, 32

Metrical geometry, 129

Michelson-Morley, 195

Milton, 35

Mind, 27, 28

Minkowski, viii, 131

Molecule, 32, 171

Moment, 57, 60, 88

Momental area, 103; route, 103

Momentum, 105

Motion, 105, 114, 117, 127, 188, 192

Multiplicity, 22

Natural philosophy, 29, 30

Natural science, philosophy of, 46

Nature, 3; apparent, 31, 39; causal, 31, 39; conceptual, 45; continuity of, 59, 76; discrimination of, 144; extended, 196; laws of, 196; passage of, 54; stratification of, 194, 196; system of, 146

Newton, 27, 136, 139, 140

Object, 77, 125, 143, 169, 189; delusive perceptual, 155; material, 169; perceptual, 153; physical, 155, 157; scientific, 158, 169; uniform, 162

Occupation, 22, 34, 36, 100, 101

Order, source of, 192; spatial, 95, 194; temporal, 64, 95, 194

Organisation of thought, 79

Outside, 63, 100

Paradox, 192

Parallel, 63, 127; durations, 190

Parallelism, 95, 191

Parallelogram, 127

Paris, 87, 138

Parliament, 120

Part, 14, 15, 58

Passage of events, 34; of nature, 54

Past, the, 72, 177

Perception, 3

Perceptual objects, 149, 153

Percipience, 28

Percipient event, 107, 152, 186, 187

Period of time, 51

Permanence, 144

Perpendicularity, 117, 127, 193

Philosophy, 1; natural, 29, 30; of natural science, 46; of the sciences, 2

Physical field, 190; object, 155, 156, 157

Physics, speculative, 30

Place, 51

Plane, 191; instantaneous, 91

Plato, 16, 17, 18, 24, 197

Poincare, 121, 122, 123

Point, 35, 89, 91, 114, 173, 176

Point-flash, 172, 173

Point of space, 85

Point, timeless, 192

Point-track, 113, 198

Pompey, 36

Position, 89, 90, 92, 93, 99, 113, 191; absolute, 105, 106, 114, 188

Potential, 183; associate-, 183

Predicate, 18

Predication, 18

Present, the, 69, 72, 177; instantaneous, 72; observational, 186

Primary qualities, 27

Prime, 88

Process, 53, 54; of nature, 54

Psychic additions, 29, 187

Punct, 92, 93, 94

Pythagoreans, 197

Quality, 27

Quantum of time, 162

Quantum theory, 162

Ray of light, 188

Reality, 30; of durations, 55, 187

Recognition, 124, 143, 189

Rect, 91, 92

Recurrence, 35

Relative motion, 117; velocity, 130

Relativity, 169; restricted theory of, 193

Rest, 105, 114, 188, 192

Rotation, 138, 194

Route, 99; momental, 103; straight, 103

Russell, Bertrand, 11, 122, 123

Schelling, 47

Science, 2; metaphysical, 32

Scientific objects, 149, 158, 169

Secondary qualities, 27

Self-congruence, 196

Self-containedness of nature, 4

Sense-awareness, 3, 67

Sense-object, 149, 170

Sense-perception, 3, 14

Sense-recognition, 143, 189

Series, temporal, 66, 70, 85, 178

Set, abstractive, 61, 79

Significance, 51, 186, 187, 188, 194, 197, 198

Signified events, 52

Simplicity, 163, 173

Simultaneity, 53, 56, 196

Situation, 15, 78, 147, 148, 152, 160, 189

Solid, 99, 101, 102; vagrant, 101

Sound, 195

Space, 16, 17, 31, 33, 79; empty, 145; timeless, 86, 106, 114; uniformity of, 194

Spaces, instantaneous, 86, 90

Space-system, 179

Space-time manifold, 173

Spatial-order, 95

Spatio-temporal structure, 173

Speculative demonstration, 6

Speculative physics, 30

Standpoint for perception, 107, 188

Station, 103, 104, 113

Stationary events, 198

Straight line, 91, 114, 191; route, 103

Stratification of nature, 187, 194, 196

Stream of events, 167

Structure of events, 52, 166

Structure, spatio-temporal, 173

Subject, 18

Substance, 16, 18, 19, 150

Substratum, 16, 18, 21

Symmetry, 118, 126; kinetic, 129

System of nature, 146

System, time-, 192

Tarner, Edward, v, 1

Temporal order, 64, 95, 194

Temporal series, 66, 70, 85

Tensor, 182

Terminus, 4

The, 11

Theory, quantum, 162

There, 110, 189

This, 11

Thought, 3, 14

Timaeus, the, 17, 20, 24

Time, 16, 17, 31, 33, 49, 79; measurement of, 140; quantum of, 162; transcendence of, 39

Time-series, 178, also cf. Temporal series

Time-system, see Time-series, also 91, 97, 104, 179, 192

Timeless point, 192; space, 86, 106, 114, 177

Totality, 89

Transcendence of time, 39

Transmission, 26, 28; action by, 159, 190

Tubes of force, 146

Unexhaustiveness, 50

Uniform object, 162

Uniformity of change, 140; of space, 194

Vagrant area, 103; solid, 101

Veblen and Young, 36

Velocity, critical, 193, 195; of light, 131, 195; relative, 130

Volume, 92, 101

When, 107

Where, 107

Whole, 58

Within, 63

Young, Veblen and, 36

End of Project Gutenberg's The Concept of Nature, by Alfred North Whitehead