SigPhi · Aristotle

The Physics, Vol. II (Books V-VIII)

Page 21 of 22

2 [ἀλλ᾽ ws «ἄλλος»:- ἄλλος F: ἄλλον ἘΠῚ; ἀλλ᾽ ὡς cett. The uncertainty of the readings in this sentence leaves it doubtful how it is related to its neighbours. Simplicius 1356. 12 apparently read ὥσπερ πάλαι ἐλέχθη ἐπὶ τῶν ῥιπτουμένων, εἰ διαιρετὸς (or διαιρετὸς γὰρ: E has γὰρ) ὧν ὁ ἀὴρ καὶ (sic) τὸ ὕδωρ κινεῖ, ἀλλ᾽ ὡς ἄλλος ἀεὶ κινούμενος. ἀμφοτέρως δ᾽ κτλ., ‘as we said in the case of missiles, since the air or the water causes the motion as being divisible into parts. But (it causes the motion only) inasmuch as one part of it after another is set in motion (and moves the next)’; for his paraphrase εἴπερ διαιρετὸς ὧν ὁ ἀὴρ καὶ τὸ ὕδωρ, τούτεστιν εὐδιαίρετα καὶ εὐκίνητα, κινεῖ" πῶς δὲ κινεῖ ὁ ἀήρ; ἄλλος ἀεὶ καὶ ἄλλος κινούμενος καὶ οὕτως κινῶν seems explicable only if he read (as the beginning of a new sentence) ἀλλ᾽ ὡς ἄλλος (or, less probably, ἀλλὰ πῶς; ὡς GAdos). It is another question whether his reading is right. The reading attributed to him by the Oxf. Trans. ἐπὶ τῶν ῥιπτουμένων, εἰ διαιρετὸς ὧν ὁ ἀὴρ ἢ (sic) τὸ ὕδωρ κινεῖ ἄλλος ἀεὶ κινούμενος, may be preferred. In printing εἰ δὲ διαιρετὸς κτλ. as a separate sentence I am providing a text which suits Dr. Wicksteed’s view of the course of the argument.—C.]

* (Literally, ‘ circle,” 1.6. circumference (ταχεῖα δὲ ἡ τοῦ κύκλου κίνησις, τουτέστι τῆς περιφερείας, Simplic. 1354. 7). In a revolving sphere the motion of a point on any circle inscribed on its surface in a plane at right angles to its axis is faster than that of any point in the same plane that is nearer to the axis. And if the universe is conceived as a PHYSICS, VIII. x.

movements must be those of the parts closest to the moving force, and the movement of the outermost sphere @ is such, it is there that the motive influence is felt.

The question arises, however, whether it may not be possible for a motor which itself is in motion to cause a continuous movement in something else, not with the specious continuity of a succession of thrusts, but genuinely. Well, in such a case either (i.) the prime motor itself must all the time directly thrust or draw ὃ the mobile (or both thrust and draw it),° or (ii.) there must be some continuous succession of inter- mediaries other than the prime motor, as we just now supposed to be the fact in the case of missiles, and if these intermediaries are constituted by an easily divisible substance, such as air or water, what is causing the movement at any time will be the particular division of that substance which at the time being is in motion. In both cases (i.) and (ii.), therefore, the movement is not one and unbroken, nest of material spheres, each of a certain thickness, the motion will be quickest in the outermost sphere. Simplicius records a discussion as to what ‘ circle’ is here meant and where the Prime Mover can be. He ends with the suggestion μήποτε δὲ ἐν τῷ κύκλῳ λέγων ἐν τῷ ὅλῳ οὐρανῷ λέγει (1355. 38). This discussion may account for the variant ὅλου here. Cf. De gen. et corr. 336 Ὁ 8 ἡ τοῦ ὅλου (se. οὐρανοῦ) φορά, meaning the motion of the First Heaven, as carrying with it re whole system of concentric spheres (Joachim, ad loc.), > (Cf. 243 a 15 ff. where it was shown that all forms of locomotion of things that are moved by something else can be reduced to pushing or pulling. A twirling motion is a combination of pulling and pushing: the man turning a millstone is both thrusting away part of the stone and draw- ing towards himself another part.—C.]

5 And this alternative (i.) has been shown to be impossible.

20 ARISTOTLE δ᾽ οὐχ οἷόν τε μίαν εἶναι, ἀλλ᾽ ἐχομένην. μόνη ἄρα συνεχὴς ἣν κινεῖ TO ἀκίνητον" ἀεὶ yap ὁμοίως ἔχον καὶ πρὸς TO κινούμενον ὁμοίως ἕξει Kal συνεχῶς. Διωρισμένων δὲ τούτων, φανερὸν ὅτι ἀδύνατον TO πρῶτον κινοῦν καὶ ἀκίνητον ἔχειν τι μέγεθος. εἰ γὰρ μέγεθος ἔχει, ἀνάγκη ἦτοι πεπερασμένον \ ον αὐτὸ εἶναι ἢ ἄπειρον. ἄπειρον μὲν οὖν ὅτι οὐκ ἐνδέχεται μέγεθος εἶναι, δέδεικται πρότερον" ἐν τοῖς Φυσικοῖς: ὅτι δὲ τὸ πεπερασμένον ἀδύνατον ἔχειν δύναμιν ἄπειρον, Kal ὅτι ἀδύνατόν ὑπὸ πε- περασμένου κινεῖσθαΐ τι ἄπειρον χρόνον, δέδεικται a5 viv. τὸ δέ ye πρῶτον κινοῦν ἀΐδιον κινεῖ κίνησιν καὶ ἄπειρον χρόνον. φανερὸν τοίνυν ὅτι ἀδιαίρετόν ἐστι καὶ ἀμερὲς καὶ οὐδὲν ἔχον μέγεθος.

PHYSICS, VIII. x.

but successional. The only continuous movement, therefore, is that which is caused by the motionless motor, which ever maintains its own uniformity of disposition and will therefore maintain a uniform and continuous relation to the mobile.

All these points being established, it is clear that the prime and motionless motor cannot have magni- tude. For if it had magnitude it must either be limited or unlimited. Now we have shown already, in our discourse on Physics, that there cannot be an unlimited magnitude; and now we have further proved that a limited body cannot exert unlimited force and that nothing can be kept in motion for an unlimited time by a limited agent. But the prime motor causes an everlasting motion and maintains it through time without limit. It is manifest, there- fore, that this prime motor is not divisible, has no parts, and is not dimensional.

INDEX Note —The references to Volume 1. are wn roman, those to Volume II. in italre.

ABOVE and BELOW, Relative, ABSTRACT: see Concrete ABSTRACTION, i. 119, 1213 see ACCIDENT, i. 141-163 ACCIDENTAL: see Incidental ACHILLES, ii. 181, 183 See also Bisection ACTUALITY, ACTUALIZATION = Realization, i. 89, 198-197, ADDITION of terms, ‘Limited and Illimitable, i. 247-251 AFTER: see Before AGENT: see Mover AIR— Relation to Water, 1. 49, 327, Substantiality of, 1. 331, 361 AMBIGUOUS: see Verbal Am- biguity ANAX AGORAS— on the Unlimited, i. 221, 228, on the Void, 1. 331 ANAXIMANDER on Unity and Multipheity, i. 41 ANTIPERISTASIS, ti. 419 ANTIPHON— on Squaring the circle, i. 19 on Substantive existence, i. 111 ANTITHESIS— Nature of Primary Antithesis or Antitheses, i. 41, 51-67 Antithetical Principles need something to work on, 1. 61, Antithetical Terms, 11, 221 See also Extremes APART, Definition of, ti. 35 ARRIVAL(‘ has arnived at’ ), Legiti- mate use of term, ii. 373- 379 ARROW, The Flying, ti. 181-185 ART: Analogy with aera i. 125, 173 of Making, i 123, 1 of Using, i. 128,1 ΤῊΣ ARTIFICIAL PRODUCTS: see Natural Products ASHES, Water poured on to, i. 333, ASTRONOMY, Relation to mathe- matics and physics, i. 119, 121 ATOMS— ΤΟΣ barat and Resolution of of Matter, and Atomic Magni- also Indivisible ἘΠΕ ee na REPULSION, of ee Part, of the Whole, i. 295; Potential and actual, i. 367-371; AYTOMATON, Meaning and scope AXIOM, Groundless assumption cannot be accepted as an, ii.

INDEX BECOMING: see Genesis BEFORE and AFTER— In Position, Movement, Time, 1. See also Verhal Ambiguity, and Now BEGINNING some-When, some- There, i. 29; see also Origins BEGINNINGS and ENDS, Actual and Potential, τι. 279, 373- BELOW. see Above BETTER, BEST: The Better occurs in nature, 11.

BETWEEN, defined, ii. 37 BISECTION = Dichotomy: Actual and Potential, bearing on continuity, i. 25935 ii, 109, See also Divistbility, Zeno BOAT: Movement of boat and its see aloo li 313 BODY, Cannot be Ilhmitable, L BULK: an inseparable attribute, i 361 Vaniation In, i. 841, 369 CAUSE (airéa): Classification of Causes, i. 129- Efficient, 1, 129-133, 167; see also over Essential (direct, determimate), Ineidental (indirect, mdeter- also Form also Goal Material, i. 129, 133, 1675 see also Subject Purposeful Cause in art and m Relations between Causes, 1. 165, CENTRE— of Rotation compared with beginning, middle, end of recti- linear motion, ii. 401 of Universe— absolutely stable, i. 315 exerts active influence, i. 241, CHANCE (αὐτόματον): see Luck; see also Incidental CHANGE: a wider term than movement, Agent and Patient of: essential, incidental, τῷ virtue of a Whence and Whither of, 11, 11-15 Different kinds of, 1.195, see also Growth Locomotion, Modi- fication Potentiality of change inherent See also Genesis, Locomotion, Movement CHAOS, i 281 CIRCULAR MOTION: see Loco- motion (circular) COGNITION | see Understanding COMING INTO BEING: _ see Genesis COMING TO A STANDSTILL, TO REST, Meaning of, ii COMPLETE: see Whole COMPLETENESS— wncompatible with Uhmuitability, of Circumference, 11. 895 COMPRESSION - see Condensation CONCEIVABLE distinguished from possible, i 263 CONCRETE and particular con- trasted with abstract and general, i. 11, 12 CONDENSATION and RAREFAC- TION: the Antithetical Principles of Manifestations of— Contraction and Expansion, i. Combination and Resolution, involve locomotion, li. 357, 403 INDEX CONSCIOUSNESS, relation to CONTIGUOUS = Touching = In contact: Meaning and scope of, 1 307; 11 Agent and Patient must be, 1 CONTINUITY, CONTINUOUS, CONTINUUM: Characteristics and Meaning of, inherent in Magnitude, Move- of Movement destroyed— by discontinuity in— by abrupt reversal of direction, but not by continuous change of direction, 11. 391-397 Specious continuity of the suc- cessional, ii 391, 421, 423 No Continuum indivisible, 1 28, CONTRADIOTORIES. see Opposites CONTRARIES: see Extremes CONTRAST, CONTRASTED TERMS or COUPLES ° see Antithesis CONVERGENT SERIES, Char- acteristics of, 1. 247 COUNT, Distinction between the thin gs we count, the numbers we count in, and the process of counting, i. 389, 397 CURRENTS in homogeneous mass, i 29 CURVATURE, Change of, i. 369 DEFINITION, Nature and function DEMOCRITUS: Behef in void, i. 51, 331 First Principles, li. 277, 283 Theory of antithetical couples, Theory of primary atoms, 1. 15, DENSITY and RARITY: are affections of matter, 1, 367-871 Bearing on theory of void, 1 363- of medium affects velocity, i 851-355, see also Void Variability of— inherent in matter, 1. 367-371; ora to movement, i. 365 36 See also Condensation ‘DEPART FROM’ and ‘ARRIVE AT,’ terms only applicable to an actual beginning and DETERMINANTS: see Cause DICHOTOMY. see Bisection DIFFERENTIA— not included in ‘quality,’ 11. 31 See also Form DIRECTIONS— Cosmically-determined— Influence of, 1. 279, 281 Stability of, 1. 279, 281 Physically-determined— Relativity of, 1 279, 281 DISPLACEMENT, Bearing on hypothesis of the void, 1. 859 DISTANCE: Interdependence of distance, motion and time with respect to continuity (divisibility), with respect to limitabilty, 11. DIVERSITY: see Multiplicity DIVISIBILITY.

Actual and conceptual, i. 229, Correspondence between Divisi- bihty of— distance and time, 11 107-111, of a movement and its con- INDEX DIVISIBILITY (conid.)— In what sense an unlimited potentiality, 1. 247, 249; ii. See also Continuity DOWNWARD: see Upward oar implied in antithesis, EARTH, at rest, i. 349 EFFECT: Relation to cause— normal, incidental, i. 149 See also Cause ELEATIC arguments given into by some thinkers, i. 37 ELEATICS: see Melissus, Parmen- ides, Zeno ELEMENTS: Natural trend of physical, i. 279, Nature and number of, i. 15, 41- Plato's trad, Aristotle's trad, 3 9 EMBRACED IN, RESIDES IN: Meaning and scope of, i. 325, 405, 40 EMPEDOCLES— on Attraction and Repuision, ii.

on Nature repeats itself, 1, 43; on Primary substances, 1. 41, 43, on Unity and Multiplicity, i. 41 ἘΠΕ Meaning of, i. 337 Meanings of, 1. 123; ii. 55 a causal determinant in nature of Change— belongs to future, ii. 137-741, indivisible, ii. 139, 141 Means of attaining, i. 167, 179, See also Beginnings ENTITIES: Mathematical and Physical, i.

Number of absolute, i. 15-37 ‘EQUALITY '— in Magnitudes analogous to ‘ like- ness’ in Affections, 11. 253 EQUIVOCAL: see Verbal Ambiguity ERROR— in Assumption, in deduction, i. ESSENCE: see Form EXIST: Distinction between can be conceived and can exist, EXISTS, IS: see Existence, Ex- istent, Verbal Ambiguity EXISTENCE: Actual and Potential, 11, 17, 19, 3 Coming into: see Genesis 5 Non-existence—absolute and in- cidental, the clue to problem of genesis, i. 85-89 regarded as good, i. 93 See also Realization, Matter EXISTENT: One or more than one, i. 19-27 EXISTENTS and NON-EXIST- ENTS: Characteristics of natural, arti- ficial, i. 107 Temporary, eternal, i. 405, 407 EXPANSION; see Condensation EXTREMES, CONTRARIES, POLES— constitute limits, maximum FAST: see Quick FIRE identified with extreme heat, ii. 315 FORM = IDENTIFYING ES- SENCE = DISTINGUISH- ING CHARACTERISTICS: Meaning and function of, i. 117, and Shortage, opposite poles, i, shortage and matter: factors of becoming, i. 77-97 Relation to material, i. 113, 125, See also i. 41 FORTUNE: see Luck FREEZING, Instantaneous, ii. 297 FUTURE: see Time INDEX GENERAL and ABSTRACT com- pared to particular and con- GENESIS: Absolute = unqualified, Specific a Change, but not a movement, not a modification, 11. 231 not a subject of generation, 1].

dependent on Movement, Modi- Etymologically connected with nature, 1. 115 Limiting terms of, ii. 863 Natural and artificial process Prerequisites of, 1. 49-59, 79, 83, Problem of, previous theories Subject of, i. 71-79 See also Antithesis GNOMONS, i. 217 GOAL: Meaning of, i. 123 the main concern of the physicist, not subject to change, i. 11, 13 Relation to material, 1. 179-187 Relation to process, 1. 179-187 GROWTH and SHRINKAGE: by Addition and Subtraction of like, unlike, by Expan- sion and Contraction, i 195, involve local motion, ii. 347 HABITS, not Modifications, may involve modifications, 1}.

HARMONICS: Relations between optics, harmonics, astronomy and geometry, i. 121 HEAT: Extreme heat identified with fire, in, 315 HEAVEN, HEAVENLY SPHERES, HEAVENLY BODIES: Motion of, ii 351, 421 See also Locomotion (Circular), Movement (continuous) HEAVY and LIGHT: The Pipe potentially light, ii.

o Relation to Dense and Rare, i. HERACLITUS: Paradox of, i. 17, 25 ‘All things become fire,’ i. 257 HESIOD, on ‘Chaos,’ i. 281 HOMOGENEODS: Parts of Homogeneous substance have no distinguishing char- acteristics, i, 231, 237, 239 HOW and WHY— imply different kinds of inquiry, See also Cause IDENTICAL =‘One and_ the same ’— distinguished from ‘the same, IDENTIFYING ESSENCE: — see Form IDENTITY, retained through changing relations, i. 389, 393 ILLIMITABLE, THE UD. LIMITED: Problem of the, i 215-265 additions, succession, i. 225, 227, analogous to material factor, i cannot be exhausted, 7 225, 253, Concept of Dhmitable, i. 45, 193, first encountered, i 191, 193 mapplicable to experience. quahty, substantive exist- ence, point, i. 21, 217 INDEX INDEX ILLIMITABLE, THE UN: LIMITED (contd.)— Concept of Ihmuitable (conid.)— incompatible with whole, 1. 255 of previous thinkers, i. 217-225, Relation to Continuous, 1. 259 Under some Aspect, 6.0.--- number: see Dlimitable Addi- tions, Succession Considerations on which belief in the unlimited rests, i. 225 Senses in which the illimitable can and cannot exist, 1. 229-265 See also Limit, Verbal Am- biguity, More IMMOVABLE: see Motionless ‘IN’: see Verbal Ambiguity, Place INCIDENTAL= Accidental: attributes, characteristics, con- cause, effect, i. 149-155 INDIVISIBLE. End of change 18, li. 139, 141 No continuum 15, fi. 115 qua entity, ii, 337 See also Verbal Ambiguity INDIVISIBLES: cannot touch, ii. 93 In what sense retain their identity in changing relations, i. 389- Relation to continuity, i. 391, to magnitude, i 23 See also Minimum, Now, Point INFINITY: see Iimitable INTELLIGENCE= Mind: Anaxagoras’s Prime Cause, 1. 223; Free from admixture, li. 339 INTERMEDIARIKS, Nature of mo- tion conveyed by, li. 417, 423 INTERMEDIATES, function as opposites, ii. 69 INVESTIGATION, Method of, 1.

IS: see Existence, Existent, Verbal Ambiguity KNOWLEDGE: see Understanding sasha fm Belief in the void, 1. 1 LIGHT: see Heavy ‘LIKENESS,’ ‘EQUALITY,’ 11 LIMIT: Distinguishable from the thing 1t limits, 1. 25, 3873 see also Distinction between being ‘in contact’ and being ‘limited,’ Indivisibihty of Lint (gua limit), See also Now LIMITED: see Illimitable LINE: see Distance, Magnitnde LINES and ‘POINTS, Character- istics of, iL. 379-383 LOCALITY: see Place (Cosmic) LOCOMOTION =Change of Place: affects no intimate characteristic Change of proper place, of cosmic Circular Motion, Rotation, Re- volution— Characteristics of, 1. 821, 425; not comparable with recti- linear, 1 245 the only progression both con- tinuous and everlasting, 11. Uniform Rotation standard measure of motion, i. 428, Centre of Rotation compared with beginning, middle, end, of rectilinear motion, li. 401 Rotating Sphere, in motion and 0 INDEX LOCOMOTION (conid.)— Continuous Locomotion caused by motionless motor, 11. 425 Direct, mcidental, i. 323 divisible into species, 1. 217-221, prior to all other change, i. 277; Rectilnear=Translation— Characteristics of, ii. 201, 369, Relation to increase and decrease, to qualitive modification, 1 LUCK, FORTUNE (τύχη; Goed and Bad, i. 155, 157 LYCOPHRON banned the word MAGNET, Power of, ii. 417 MAGNITUDE, Continuity of: see Continuity Concept necessary to definition of ‘unlimited,’ 1. 21, 23, 3 fa aUTO~ Limits of actual, potential, con- 8 not an essential attribute of moving cause, 11. 343 not an attribute of Prime Motor, Relation between magnitude of whole and of parts, 1. 45 Relation to Movement, Time, 1.

MATHEMATICAL ABSTRAC- MATHEMATICS, Relation to Physics, Optics, Harmonics, Astronomy, i. 119, 121; see MATTER: Aristotehan, Platonic, 1. 91-97 Inherent capacity of expanding ἀξὰ contracting, i, 841, 367- ὃ the Passive Principle of Nature, VOL. II 2 καὶ MEASUREMENT— of Individuals by number, i. 387, of Motion by time, i. 887, 405, 423 of Time by motion, 1. 423, 425 MEDIUM, Density of, effect on velocity, i. 351-389 MELISSUS: False premises and unsound Argument against movement, 1. Conception of ‘ whole,’ i. 255 MILLET SEED, τι. 261 MIND: see Intelligence MINIMUM, No Minimum com- ponent of a continuum, i. 23, MISSILES = Projectiles, 1. 349, 351; MODIFICATION— effected by sensible character- istics, li. 225-229 sae vary on locomotion, 11. 355- experienced by the animate and manimate, 1. 925 occurs along specific lines, i. 58 presupposes substratum, 1, 49 MODIFIER in contact with modi- MONAD=the irreducible Mini- MORE, 1n addition, in succession, MORE and LESS, i. 387 MOTIONLESS= Moveless=Immo- bile, Different meanings of, ll 33 MOVED=Mobile, PATIENT νὼ Patient, i. 71-83; ii.

Condition of Mobile in the act of moving, 1i 127 Condition of Mobile at the end of the movement, ii 137, 139 Natural existents have inherent Principle of Movement, i.

Pave magnitude, it. 343, must be divisible without limit, INDEX MOVEMENT, MOTION, CHANGE Meaning and Nature of, i. 191-215, Beginning of, ii. 141-145 Constituents (factors) of, i 129, Changing relations between Con- stituents of, 1. 257-263 Contrary Movements defined, ii. Dependent sequence of Magni- tude, Motion, Time, 1. 259, Discontinuous, ii 45, 57, 349, Successive Movements discon- Interrupted Movement discon- Reversed Movement discon- tinuous, li. 399 See also Constituents of move- ment distinguished from Change, and Indivisible, ii. 297 does not include Acquisition of habits, li. 231-239 does not include Genesis and Extinction, ii. 15-19, 65, 67, does not pertain to Action and Passion, ii. 19-29 does not pertain to Conditions, Forms, Place, ii. 11, 19, 229 does not pertain to Relation, ii.

does not pertain to Substantive Existence, ii. 19 Eterna] — Conditions of, and Necessity for Eternal Movement, ii.

“ὦ ἐν}. in Eternity of Time, 11. 2 Their relation to the Move- Their relation to each other, from one term to its opposite cannot be both continuous and everlasting, ii. 289, 295, Incidental Movement— caused by itself, ii. 317, 347-351 caused by something elge, i.

Kinds of Motion: penercally the same, 11. 211, 1 which can, cannot co-exist 1n the same subject, 1]. 363, 371, See different, 11, 371, See also Condensation, Modifica- tion, Locomotion Necessary conditions of, i. 129, Necessary conditions of Uninot itself a subject of Change, occurs between Contraries or Contradictories, 1 53; opposed to rest, to contrary motion, ii. $1, 363 Opposite motions specifically different, ii. 871, 389 Priority of locomotion: see Loco- motion Reality of, 1.17; ii. 269 Relation to— Distance, αἱ 97-101 INDEX saclay oer MOTION,CHANGE contd Relation to (contd. )— and Rest; see Kest Reversing a movement involves stopping it, ii 371-879, 389, cepa ee lutermittent, 11. Subject of Movement also sub- ject of contrary Movement eand of rest, li 27 MOVER, EFFICIENT CAUSE, FINAL CAUSE: iaricy eke of classifying the, 18 Need for and nature of Agent or Intermediary, Primary and The Prime Agent or Agents— Relation to Motion, i 167, 197; True, Incidental, Intermediate Agent or Agents, 1. 85, 87; Self-mover Prime Mover— Action of Prime Mover not Toilsome, ii. 421 itself Motionless, ii. 337, 341- itself not Dimensional, in. 407, MOVER and MOVED: Direct or Indirect, ii. 317 Essential or Incidental, In- tegral or in virtue of a Part Self-mover includes active and passive factors, ii. 307-311, Active factor— eer passive, ii. 347, 85 not the Prime Agent, ii. 347- δ MULTIPLICITY =Plurality: in Unity, actual and potential, i.

involved in distinction between subject and attribute, i. 31, of entities in Universe, i 37-41 NAME, Relation to definition, i, 18 NATURAL: and Artificial products, 1. 17, and Forced movement and rest, NATURE: Chance results due to nature, to both Genesis and Goal, 1. 115, 117, Principle of Movement and Rest, Principles of: Previous specula- tions on, 1. 17, 41-59, Conclu- sions reached, i. 59- 87, 79-83 Universal determinant of order, See also Movement NECESSITY, Different kinds of, (1) Inherent, Mechanical, Unconditional; (2) Hypo- thetical, Logical, Cond1- NEXT-IN- SUCCESSION, with and without contact, li. 39, NON-EXISTENCE: Absolute, Incidental, i. 85-91 Eternal, Temporal, i. 405, 407 Platonic view of, i. 91-95 NON-EXISTENT (in the Absolute Sense)— cannot move, ii. 17; but not therefore at rest, ii. 365 cannot have position, li. 19 INDEX NOW: Problems concerning, i. 373-877 423, see also 259 cannot be arrested, i. 389-393 Loose usage of the term, i. 411, Relation to Motion and Rest, Relation to Time, i. 373, 375, retains identity through changthe same everywhere, i. 389 NUMBER: has lower but not upper limit, No definite number unlimited, Two senses of, i. 387, 395-399 NUMERICAL REGISTER— OLYMPIC GAMES, i. 249 ONE: see Identical, Same, Unit, aS also Verbal Ambiguity OPPOSITES Positive, Negative, Contrary, Contradictory, ii. 15, 17, 31, thesis, Extremes, Intermed.- OPPOSITION— involves two terms, i. 81 See also Opposites ec Relation to geometry, i.

ORIGINS = = Beginnings: Views of previous thinkers on, ee PARMENIDES: on Coming to be, i. 91 on One Being, i. 24, 25 on Principles of Nature, i 15, 51 on the Whole, i. 255 Unsound assumptions and deduc- tions of, i, 29-33 PARTS: Actual and Potential— Relation to Whole, i. 23, 45, 133, 2 PASSING AWAY: see Perishing PAST, PRESENT, FUTURE: see Now, Time PERISHIN G: Qualified and unqualified, 11. 17 a change but not a movement, See also Genesis PHYSICS=Natural Philosophy= Study of Nature: compared to or meade Astro- Views of previous thinkers, i 15, ἜΠΑΘΕ, LOCALITY, POSITION, General discussion of, i. 27-827 Absolute, Sere i. 243, 279, Change of;. Locomotion compared ‘to form, to matter, i. to room, 7 289 Conception of Place dependent on Movement, i 305 Cosmic Place exerts abies mflu- Positive and negative character- Perplexities concerning place discussed and smoothed out, Relation to Movement, i. 419; ii. Summary of Characteristics of, What constitutes being in ἃ, 1. PLATO: Prineiples of nature, i 41, 93 on Time, ui, 277 INDEX INDEX PLURALITY: see Multipheity POINT, POINTS: cannot be continuous, contign- ous, or next in succession, Double function of Point— actual and potential, 1 373-379 at which Mobile pauses, 11. 878, 375, 881; at which Mobile which divides Time, 11. 383 Single function of Point which divides States, 11 383-387 Tllimitable Points traversable only in accidental sense, 11. See also Now POLES " see Extremes POSITION: see Place POTENTIALITY: essentially mcomplete, 1. 205, inherent in actuality, i. 193, 197 distinguished from actuality, ii. Meaning of, 1 195 Process of actuahaing, i. 195-199, capable and pacable of com- Process of actualizing potential- ity by stages, 11. 313, 31 Unactualized, 1. 193, 197, 327 POWER. Greater Power defined, 1 411 Seat of limited, unlimited, ii. Δ11- 7 ἀ1 PRINCIPLES: have no ulterior cause, il. 285 not attributes of something else, i, of Movement and Rest— Number and nature of Prin- inherent in natural existents, PRIORITY, Different meanings of, PROPORTION: see Ratio PURPOSE— accidentally mussed, main concern of physicists, 1. manifested in nature and art, PYTHAGOREANS— on Nature of the unlhmited, QUA, Meaning and use of, 1. 87, 121, on Nature of the void, i. 333, 335 QUALITY: cannot exist by itself, 1. 21, 49; Change with respect to, i. 195; attained, incidentally a quantum, i, 21; QUANTITY: cannot ex exist by itself, i 21; 1i.

QUANTUM. see Magnitude QUICK =Swift, and SLOW. applicable to ‘counting, i 807 inapplicable to that which is counted, 1. 397 inapplicable "to counters (abstract numbers), i. 397 QUICKER and SLOWER MO- TION— Meaning and Nature of, 1. 879, RAREFACTION: see Condensation RARITY: see Density RATIO, PROPORTION: Equal, unequal Ratios, 1. 261, 353- when non-existent, 1. 353-357; ii.

REALIZATION: see Actuahty RELATION: Excellences, defects, habits, understanding, ete., deter- Thin by Relations, 11. 233 not a subject of change, 11. 17- INDEX REPULSION: see Attraction RESOLUTION: see Condensation REST: a Principle of nature, i. 107, 109 exists in, occupies time, i. 405; measured by time, 1. 405 Natural, unnatural, ti. 79, 83, 299 not identical with unchanging- opposed to Motion, ii. 71, 73 opposed to Rest in opposite state, Process of being brought to, fi. Zeno’s definition of, ii. 181 and Motion— Continuous, intermittent, ih. See also Locomotion (circular) RESULT; aero presuppositions, i. 181- Normal, accidental, i. 149, 177, 179 pena not involved in unity, 29 ROOK, Sphtiting of, ii. 295, 297 ROTATION: see Locomotion (Cir- cular) SAKE, Two senses of ‘for the sake SAME, Qualified and unqualified SCALE OF MEASUREMENT, 1.

SHIP, Hauling, il. 259, 297; see also SLOW: see Quick SLOWER: see Quicker SPHERE, Rotating Sphere at rest and in motion, i. 321, 323; SQUARING THE CIRCLE, i. 17,19 STANDARD MEASURE, i. 399, STONE, Wearing of, 11, 295 SUBJECT = Substratum = Matter, SUBSTANCE: see Subject SUBSTANTIVE EXISTENCE: 1. SUBSTRATUM: see Subject SUBTRACTION, of terms, limited and illimitable, i. 249, 251 SUCCESSION Orderly succession umplies proportion, ii. 281 SUCCESSIONAL, distinguished from continuous, li. 55, 346 SURFACE: Identity of Surface of content and continent, i. 807, 8253 see also Together of ἘΠ ΊΈΜΙΗΝ sphere is at rest, i.

See also Limit, Place TENUOUS, TENUITY: see Density TERMS: ak rag and non persistent, i. 1. mee and complex, 1. 71-75 THRUST: Problem of Thrusts in vacancy, Problem of successional Thrusts, TIME: Interdependence of Distance, Motion and Time— with respect to divisibility, with respect to lmutabilty, What constitutes being in, 1, Meaning of ‘ proper,’ ii. 749 Numerical register of, i. 259, 385- Relation to consciousness, i. 388, Relation of motive force to movement conditioned by, INDEX TIME (contd.)— Relation to Motion, ii 121, 123 Time an aspect of Motion, i. Time and Motion inseparable, but not identical, 1. 379, 383, Time the measure of Motion: (with respect to duration), 1 spect to velocity), 1. 401, 405, Time measured by Relation to Rest, ii, 12 21, 123 Time the measure of Rest, 1.

TOGETHER defined, ii. 35; see TOUCHING: see Contiguous TRANSLATION: see Locomotion (Rectilinear) TREND: Natural Trends of elements, i affect velocity, i. 357; fi. 79, uniform differentiate subjects, 1. 345, not due to vacancy, i. 345, 365 TYXH: meaning and scope of τύχη and αὐτόματον, 1. 157-163 UNCHANGINGNESS, MOTION- LESSNESS, not Synonymous UND ERSTAND ING = Know- led ge What ἘΠΕῚ 1. 11, 129: fi, UN ION: see Verbal Ambiguity UNIT=One: Numerical, quanti- tive, substantival, Ἵ 19-27, see also 11. 337 UNITY: Multiplicity in; see Multiplicity What constitutes Unity of moverotates, i. 323 Supposed Origin of, i. 145; ii. 18 unplaced, 1. 823 Views of previous thinkers on UNLIMITED: see [llimitable ‘UNMOVED,’ not identical with UPWARD, DOWNWARD— Tendency, i. 815; hi. 315 VACANCY: VACUITY.

VELOCITY Bearing on theory of the void, of ae of rotating sphere, il.

see Void see Void measured by time, i. 401, 405, VERBAL AMBIGUITY, AM- BIGUOUS, EQUIVOCAL, PRIMARY AND DERIVED USE OF TERMS— Affection (πάθος), 11. 21, 13 Become, i. 85 Beginning, i. 29 Cannot, ii. 202 Consists of, 1. 49 Double, ii. 245, 247 Existent, i. 10. 23 Exists in, i. 401-405 Form, i. are (hte pag: Ihmuitable, no ἜΣ i. 227, 247- 4 Into (turn into), ἃ. 85, 89 INDEX VERBAL AMBIGUITY, ete. (contd )— Nature, i, 117 Non-existent, i 68, 87-91, 407 Priority, 1. 357 Identical Turns into, i, 85, 89 VESSEL, not part of its own con- VOID = Vacancy " Analogy with Place, i. 329, 339, Grounds for belief in, i. 329-335 shown to be invalid, i. 339-361, Previous refutations Meaning and nature of, i. 281, Problem of velocity and zero inade- Supposed function of, 1. 333, 339, Supposed relation— to Condensation and Expan- to Displacement, i. 359, 361 to Locomotion, i 341, 345-349; WATER: Clocks, 1 331 Relation to air, i. 8273 τι. 315 WHOLE: Concrete, 1. 11, 13 Pontus discontinuous, 1.

contrasted with unlimited, i.

Relation to part, 1 23-27,«45, XUTHUS, i. 868 ZENO: Refutations of Zeno's dilemmas, concerning— Place, i 299 Dichotomy, Achilles— Preliminary, li. 111, 181, 183 Flying Arrow, ii. 181, 188, 185 on Relation of Parts to Whole, Printed in Great Britain by R. ὃς R. Crark, Linvien, Edinburgh.

THE LOEB CLASSICAL LIBRARY VOLUMES ALREADY PUBLISHED LATIN AUTHORS APULEIUS. THE GOLDEN ASS (METAMORPHO- SES). Trans. by W. Adlington (1566). Revised by S. Gaselee. (5th Impression.)

AULUS GELLIUS. Trans. by J.C. Rolfe. 3 Vols.

AUSONIUS. Trans. by H. G. Evelyn White. 2 Vols.

Pat HISTORICAL WORKS. Trans. by J. King. 2 Vols.

BOETHIUS: TRACTATES ann DE CONSOLATIONE PHILOSOPHIAE. Trans. by the Rev. H. F. Stewart and E. K. Rand. (2nd Impression.)

CAESAR: CIVIL WARS. Trans. by A. G. Peskett. (3rd Impression.)

CAESAR: GALLIC WAR. Trans. by H. J. Edwards. (6th Impression.)

CATO ann VARRO: DE RE RUSTICA. Trans. by H. B. Ash and W. D. Hooper.

CATULLUS. Trans. by F. W. Cornish; TIBULLUS. Trans. by J. P. Postgate; PERVIGILIUM VENERIS. Trans. by J. W. Mackail. (θέν Impression.)

CICERO: DE FINIBUS. Trans. by H. Rackham. (3rd Impression revised.)

CICERO: DE NATURA DEORUM ayn ACADEMICA. Trans. by H. Rackham.

CICERO: DE OFFICHIS. Trans. by Walter Miller. (3rd Impression.)

CICERO: DE REPUBLICA ayn DE LEGIBUS. Trans. by Clinton Keyes.

CICERO: DE SENECTUTE, DE AMICITIA,.DE DIVINATIONE. ‘Trans. by W.A. Falconer. (3rd Imp.)

CICERO: LETTERS TO ATTICUS. Trans. by E. O. Winstedt. 3 Vols. (Vols. I. 4¢h, II. 3rd, III. 2nd Imp.)

CICERO: LETTERS TO HIS FRIENDS. Trans. by W. Glynn Williams. 3 Vols.

CICERO: PHILIPPICS. Trans. by W. C. A. Ker.

CICERO: PRO ARCHIA POETA, POST REDITUM IN SENATU, POST REDITUM AD QUIRITES, DE DOMO SUA, DE HARUSPICUM RESPONSIS, PRO PLANCIO. Trans. by N. H. Watts.

1 THE LOEB CLASSICAL LIBRARY CICERO: PRO CAECINA, PRO LEGE MANILIA, PRO CLUENTIO, PRO RABIRIO. Trans. by H. Grose Hodge.

CICERO: PRO MILONE, IN PISONEM, PRO SCAURO, PRO FONTEIO, PRO RABIRIO, PRO MARCELLO, PRO LIGARIO, PRO DEIOTARO. Trans. by N. H. Watts.

CICERO: PRO QUINCTIO, PRO ROSCIO AMERINO, PRO ROSCIO COMOEDO, CONTRA RULLUM., Trans. by J. H. Freese.

pes: TUSCULAN DISPUTATIONS. Trans. by . E. King.

CICERO: VERRINE ORATIONS. Trans. by L. H. G. Greenwood. 2 Vols. Vol. I. 7 CLAUDIAN. Trans. by M. Platnauer. 2 Vols.

FLORUS. Trans. by E. S. Forster; CORNELIUS NEPOS. Trans. by J. C. Rolfe.

FRONTINUS: STRATAGEMS ayn AQUEDUCTS. Trans. by C. E. Bennett and M. B. M‘Elwain.

FRONTO: CORRESPONDENCE. Trans. by C. R. Haines. 2 Vols.

HORACE: ODES ayy EPODES. Trans. by C. E. Bennett. (9th Impression revised.)

HORACE: SATIRES, EPISTLES, ARS POETICA. Trans. by H. R. Fairclough. Ae Impression revised.) JUVENAL ayn PERSIUS. Trans. by G. G. Ramsay.

fe Impression.).

LI rans. by B. O. Foster. 13 Vols. Vols. I.-V. Vol. I. 2nd Impression revised.)

LUCAN. Trans. by J. D. Duff.

LUCRETIUS. Trans. by W. H. Ὁ. Rouse. (3rd Imp. rev.)

MARTIAL. Trans. by W. C. A. Ker. 2 Vols. (3rd Impression revised.

MINOR LATIN POETS from Publilius Syrus to Rutilius Namatianus, including Grattius, Calpurnius Siculus, Nemesianus, Avianus and others, with “‘ Aetna’’ and ‘* The Phoenix.” Trans. by J. Wight Duff and Arnold M.

Duff.

MINUCIUS FELIX: οἱ TERTULLIAN.

OVID: THE ART OF LOVE ayn oruer porms. Trans. by J. H. Mozley.

OVID: FASTI. Trans. by Sir James G. Frazer.

OVID: HEROIDES, AMORES. ‘Trans. by Grant Shower- man. (3rd Impression.)

THE LOEB CLASSICAL LIBRARY OVID: METAMORPHOSES. Trans. by F. J. Miller. 2 Vols. (5th Impression.)

OVID: TRISTIA ann EX PONTO. Trans. by A. L. Wheeler.

PETRONIUS. Trans. by M. Heseltine: SENECA: APOCOLOCYNTOSIS. Trans. by W. H. D. Rouse. (5th Impression revised.)

PLAUTUS. Trans. by Paul Nixon. 5 Vols. Vols. I.-IV. (Vols. I.-IIT. 3rd Impression.)

PLINY: LETTERS. Melmoth’s trans. revised by W. M. L. Hutchinson. 2 Vols. (Vol. I. 4th, Vol. 11. 3rd Imp.)

PROPERTIUS. Trans. by H. E. Butler. (4th Impression.)

QUINTILIAN. Trans. by H. E. Butler. 4 Vols. (Vol. I. 2nd Impression.)

ST. AUGUSTINE: CONFESSIONS OF. Trans. by W. Watts (1631). 2 Vols. (4th Impression.)

SAINT AUGUSTINE: SELECT LETTERS. Trans. by J. H. Baxter.

ee SELECT LETTERS. Trans. F. A.

right.

SALLUST. Trans. by J.C. Rolfe. (Qnd Impression revised.)

SCRIPTORES HISTORIAE AUGUSTAE. Trans. by D. Magie. 3 Vols. (Vol. I. 2nd Impression revised.)

SENECA: EPISTULAE MORALES. Trans. by R. M. Gummere. 3 Vols. (Vols. I. and II. 2nd Impression, Vol. II. revised.)

SENECA: MORAL ESSAYS. Trans. by J. W. Basore. 3 Vols. Vols, I.-II.

SENECA: TRAGEDIES. Trans. by F. J. Miller. 2 Vols. (2nd Impression revised.)

ἜΠΗ ITALICUS: PUNICA. Trans. by J. Ὁ. Duff. 2 Vols.

STATIUS. Trans. by J. H. Mozley. 2 Vols.

SUETONIUS. Trans. by J. C. Rolfe. 2 Vols. (4th Im- pression revised.)