1-500 | 501-736
Book, Paragraph
1 I, 2 | Antiphon’s proof. At the same time the holders of the theory
2 I, 2 | that is, if at the same time they are also quantities.
3 I, 3 | of the thing-not of the time and not only in the case
4 I, 3 | and cannot at the same time mean the contradictory of
5 I, 7 | quality or in such a relation, time, or place, a subject is
6 II, 4 | to run that way at that time, but it often ran otherwise."
7 II, 4 | another); and yet at the same time they assert that the heavenly
8 III, 1 | these, place, void, and time are thought to be necessary
9 III, 1 | not indeed at the same time or not in the same respect,
10 III, 1 | will be capable at the same time of causing alteration and
11 III, 1 | capable of being at one time actual, at another not.
12 III, 2 | contact, so that at the same time it is also acted on. Hence
13 III, 3 | two motions at the same time. How will there be two alterations
14 III, 4 | magnitudes and motion and time, and each of these at least
15 III, 4 | maintains that once upon a time all things were together. (
16 III, 4 | things: and at the same time too.) For there is a beginning
17 III, 4 | it is true, at the same time. Hence there must also be
18 III, 4 | been together at a certain time, and must have begun to
19 III, 4 | to be moved at a certain time.~Democritus, for his part,
20 III, 5 | Heraclitus says that at some time all things become fire. (
21 III, 5 | difficulty emerges at the same time. Any part of the infinite
22 III, 6 | beginning and an end of time, a magnitude will not be
23 III, 6 | itself in different ways-in time, in the generations of man,
24 III, 6 | while in the succession of time and of men it takes place
25 III, 7 | process of coming to be, like time and the number of time.~
26 III, 7 | like time and the number of time.~With magnitudes the contrary
27 III, 7 | magnitude and movement and time, in the sense of a single
28 III, 7 | alteration or growth), and time because of the movement. (
29 III, 8 | thought is an accident.~(a) Time indeed and movement are
30 IV, 3 | things would at the same time in the same thing. The jar
31 IV, 4 | the vessel; at the same time the place too will be undergoing
32 IV, 8 | will move through B in time G, and through D, which
33 IV, 8 | D, which is thinner, in time E (if the length of B is
34 IV, 8 | traverse B in twice the time that it does D, and the
35 IV, 8 | that it does D, and the time G will be twice the time
36 IV, 8 | time G will be twice the time E. And always, by so much
37 IV, 8 | distance in such and such a time, it moves through the void
38 IV, 8 | through it in a certain time, H, a time less than E,
39 IV, 8 | in a certain time, H, a time less than E, however, the
40 IV, 8 | ratio to the full. But in a time equal to H, A will traverse
41 IV, 8 | surely also traverse in that time any substance Z which exceeds
42 IV, 8 | thickness in the ratio which the time E bears to the time H. For
43 IV, 8 | the time E bears to the time H. For if the body Z be
44 IV, 8 | Z, will traverse it in a time inverse to the speed of
45 IV, 8 | the movement, i.e. in a time equal to H. If, then, there
46 IV, 8 | Z was void occupied the time H. So that it will traverse
47 IV, 8 | will traverse Z in an equal time whether Z be full or void.
48 IV, 8 | then, that if there is a time in which it will move through
49 IV, 8 | full or void, in an equal time; for there will be some
50 IV, 8 | to the other body as the time is to the time.~To sum the
51 IV, 8 | body as the time is to the time.~To sum the matter up, the
52 IV, 8 | a ratio (for they occupy time, and there is a ratio between
53 IV, 9 | cupful of water, at the same time out of an equal amount of
54 IV, 10 | the subjects mentioned is Time. The best plan will be to
55 IV, 10 | Yet time-both infinite time and any time you like to
56 IV, 10 | time-both infinite time and any time you like to take-is made
57 IV, 10 | parts must exist. But of time some parts have been, while
58 IV, 10 | must be made up of parts. Time, on the other hand, is not
59 IV, 10 | if none of the parts in time which are other and other
60 IV, 10 | contained, as the shorter time is by the longer), and if
61 IV, 10 | have ceased-to-be at some time, the "nows" too cannot be
62 IV, 10 | to cut off a determinate time. Further, if coincidence
63 IV, 10 | Further, if coincidence in time (i.e. being neither prior
64 IV, 10 | about the attributes of time.~As to what time is or what
65 IV, 10 | attributes of time.~As to what time is or what is its nature,
66 IV, 10 | of the revolution is a time, but it certainly is not
67 IV, 10 | of them equally would be time, so that there would be
68 IV, 10 | be many times at the same time.~(2) Those who said that
69 IV, 10 | 2) Those who said that time is the sphere of the whole
70 IV, 10 | ground that all things are in time and all things are in the
71 IV, 10 | impossibilities implied in it.~But as time is most usually supposed
72 IV, 10 | changes may chance to be. But time is present equally everywhere
73 IV, 10 | faster or slower, whereas time is not: for "fast" and "
74 IV, 10 | and "slow" are defined by time - "fast" is what moves much
75 IV, 10 | what moves much in a short time, "slow" what moves little
76 IV, 10 | what moves little in a long time; but time is not defined
77 IV, 10 | little in a long time; but time is not defined by time,
78 IV, 10 | but time is not defined by time, by being either a certain
79 IV, 11 | 11~But neither does time exist without change; for
80 IV, 11 | we do not realize that time has elapsed, any more than
81 IV, 11 | there would not have been time, so too when its difference
82 IV, 11 | interval does not seem to be time. If, then, the non-realization
83 IV, 11 | non-realization of the existence of time happens to us when we do
84 IV, 11 | perceive and distinguish we say time has elapsed, evidently time
85 IV, 11 | time has elapsed, evidently time is not independent of movement
86 IV, 11 | It is evident, then, that time is neither movement nor
87 IV, 11 | discover-since we wish to know what time is-what exactly it has to
88 IV, 11 | we perceive movement and time together: for even when
89 IV, 11 | at once suppose that some time also has elapsed; and not
90 IV, 11 | that but also, when some time is thought to have passed,
91 IV, 11 | have taken place. Hence time is either movement or something
92 IV, 11 | if the movement, then the time; for the time that has passed
93 IV, 11 | then the time; for the time that has passed is always
94 IV, 11 | corresponding to those. But also in time the distinction of "before"
95 IV, 11 | and "after" must hold, for time and movement always correspond
96 IV, 11 | motion.~But we apprehend time only when we have marked
97 IV, 11 | motion that we say that time has elapsed. Now we mark
98 IV, 11 | that we say that there is time, and this that we say is
99 IV, 11 | and this that we say is time. For what is bounded by
100 IV, 11 | before" and an "after", no time is thought to have elapsed,
101 IV, 11 | then we say that there is time. For time is just this-number
102 IV, 11 | that there is time. For time is just this-number of motion
103 IV, 11 | before" and "after".~Hence time is not movement, but only
104 IV, 11 | more or less movement by time. Time then is a kind of
105 IV, 11 | or less movement by time. Time then is a kind of number. (
106 IV, 11 | that with which we count. Time obviously is what is counted,
107 IV, 11 | perpetual succession, so also is time. But every simultaneous
108 IV, 11 | But every simultaneous time is self-identical; for the "
109 IV, 11 | attributes. The "now" measures time, in so far as time involves
110 IV, 11 | measures time, in so far as time involves the "before and
111 IV, 11 | goes with magnitude, and time, as we maintain, with motion.
112 IV, 11 | in so far as it is at one time here and at another there.
113 IV, 11 | that is carried along, as time corresponds to the motion.
114 IV, 11 | Clearly, too, if there were no time, there would be no "now",
115 IV, 11 | number of the locomotion is time, while the "now" corresponds
116 IV, 11 | like the unit of number.~Time, then, also is both made
117 IV, 11 | always different.~Hence time is not number in the sense
118 IV, 11 | so that on that analogy time might stand still), and
119 IV, 11 | the "now" is no part of time nor the section any part
120 IV, 11 | is a boundary, it is not time, but an attribute of it;
121 IV, 11 | It is clear, then, that time is "number of movement in
122 IV, 12 | infinitum. Hence it is so with time. In respect of number the
123 IV, 12 | It is clear, too, that time is not described as fast
124 IV, 12 | Further, there is the same time everywhere at once, but
125 IV, 12 | at once, but not the same time before and after, for while
126 IV, 12 | will happen are different. Time is not number with which
127 IV, 12 | again and again, so too can time, e.g. a year or a spring
128 IV, 12 | measure the movement by the time, but also the time by the
129 IV, 12 | by the time, but also the time by the movement, because
130 IV, 12 | they define each other. The time marks the movement, since
131 IV, 12 | number, and the movement the time. We describe the time as
132 IV, 12 | the time. We describe the time as much or little, measuring
133 IV, 12 | itself. So it is with the time and the movement; for we
134 IV, 12 | measure the movement by the time and vice versa. It is natural
135 IV, 12 | with the distance and the time with the movement, because
136 IV, 12 | of this nature, and the time has them because of the
137 IV, 12 | if the road is long-the time, too, if the movement, and
138 IV, 12 | and the movement, if the time.~Time is a measure of motion
139 IV, 12 | the movement, if the time.~Time is a measure of motion and
140 IV, 12 | whole. Further "to be in time" means for movement, that
141 IV, 12 | essence are measured by time (for simultaneously it measures
142 IV, 12 | and this is what being in time means for it, that its essence
143 IV, 12 | Clearly then "to be in time" has the same meaning for
144 IV, 12 | being should be measured by time. "To be in time" is one
145 IV, 12 | measured by time. "To be in time" is one of two things: (
146 IV, 12 | things: (1) to exist when time exists, (2) as we say of
147 IV, 12 | have a number.~Now, since time is number, the "now" and
148 IV, 12 | before" and the like are in time, just as "unit" and "odd"
149 IV, 12 | to number, the other to time. But things are in time
150 IV, 12 | time. But things are in time as they are in number. If
151 IV, 12 | so, they are contained by time as things in place are contained
152 IV, 12 | Plainly, too, to be in time does not mean to co-exist
153 IV, 12 | not mean to co-exist with time, any more than to be in
154 IV, 12 | involved: that which is in time necessarily involves that
155 IV, 12 | necessarily involves that there is time when it is, and that which
156 IV, 12 | it is.~Since what is "in time" is so in the same sense
157 IV, 12 | what is in number is so, a time greater than everything
158 IV, 12 | greater than everything in time can be found. So it is necessary
159 IV, 12 | necessary that all the things in time should be contained by time,
160 IV, 12 | time should be contained by time, just like other things
161 IV, 12 | then, will be affected by time, just as we are accustomed
162 IV, 12 | are accustomed to say that time wastes things away, and
163 IV, 12 | things grow old through time, and that there is oblivion
164 IV, 12 | oblivion owing to the lapse of time, but we do not say the same
165 IV, 12 | becoming young or fair. For time is by its nature the cause
166 IV, 12 | always are not, as such, in time, for they are not contained
167 IV, 12 | for they are not contained time, nor is their being measured
168 IV, 12 | their being measured by time. A proof of this is that
169 IV, 12 | none of them is affected by time, which indicates that they
170 IV, 12 | indicates that they are not in time.~Since time is the measure
171 IV, 12 | they are not in time.~Since time is the measure of motion,
172 IV, 12 | too-indirectly. For all rest is in time. For it does not follow
173 IV, 12 | not follow that what is in time is moved, though what is
174 IV, 12 | is necessarily moved. For time is not motion, but "number
175 IV, 12 | Hence if a thing is "in time" it will be measured by
176 IV, 12 | it will be measured by time. But time will measure what
177 IV, 12 | be measured by time. But time will measure what is moved
178 IV, 12 | not be measurable by the time simply in so far as it has
179 IV, 12 | moved nor at rest are in time: for "to be in time" is "
180 IV, 12 | are in time: for "to be in time" is "to be measured by time",
181 IV, 12 | time" is "to be measured by time", while time is the measure
182 IV, 12 | measured by time", while time is the measure of motion
183 IV, 12 | that does not exist be in time, i.e. those non-existent
184 IV, 12 | the side.~Generally, if time is directly the measure
185 IV, 12 | becoming-generally, those which at one time exist, at another do not-are
186 IV, 12 | do not-are necessarily in time: for there is a greater
187 IV, 12 | for there is a greater time which will extend both beyond
188 IV, 12 | existence and beyond the time which measures their existence.
189 IV, 12 | exist but are contained by time some were, e.g. Homer once
190 IV, 12 | on the direction in which time contains them; if on both,
191 IV, 12 | is-and this will not be in time. Nor will the commensurability,
192 IV, 13 | The "now" is the link of time, as has been said (for it
193 IV, 13 | connects past and future time), and it is a limit of time (
194 IV, 13 | time), and it is a limit of time (for it is the beginning
195 IV, 13 | a potential dividing of time, in another the termination
196 IV, 13 | way: another is when the time is near this kind of "now". "
197 IV, 13 | flood "now"-not that the time from now to them is not
198 IV, 13 | they are not near.~"At some time" means a time determined
199 IV, 13 | At some time" means a time determined in relation to
200 IV, 13 | of "now", e.g. "at some time" Troy was taken, and "at
201 IV, 13 | was taken, and "at some time" there will be a flood;
202 IV, 13 | will thus be a determinate time from this "now" to that,
203 IV, 13 | event. But if there be no time which is not "sometime",
204 IV, 13 | is not "sometime", every time will be determined.~Will
205 IV, 13 | will be determined.~Will time then fail? Surely not, if
206 IV, 13 | motion always exists. Is time then always different or
207 IV, 13 | different or does the same time recur? Clearly time is,
208 IV, 13 | same time recur? Clearly time is, in the same way as motion
209 IV, 13 | will be one and the same time, and if not, not.~Since
210 IV, 13 | an end and a beginning of time, not of the same time however,
211 IV, 13 | of time, not of the same time however, but the end of
212 IV, 13 | sense, in the same thing, so time is always at a beginning
213 IV, 13 | it would be at the same time and in the same respect
214 IV, 13 | respect two opposites. And time will not fail; for it is
215 IV, 13 | refers to the part of future time which is near the indivisible
216 IV, 13 | Presently", because the time in which he is going to
217 IV, 13 | and to the part of past time which is not far from the "
218 IV, 13 | refers to the part of past time which is near the present "
219 IV, 13 | you go?" "Lately", if the time is near the existing now. "
220 IV, 13 | its former condition in a time imperceptible because of
221 IV, 13 | their former condition. In time all things come into being
222 IV, 13 | thing’s being destroyed by time. Still, time does not work
223 IV, 13 | destroyed by time. Still, time does not work even this
224 IV, 13 | takes place incidentally in time.~We have stated, then, that
225 IV, 13 | have stated, then, that time exists and what it is, and
226 IV, 13 | now", and what "at some time", "lately", "presently"
227 IV, 14 | everything that moves is in time; for the distinction of
228 IV, 14 | But what is before is in time; for we say "before" and "
229 IV, 14 | that since "nows" are in time, the before and the after
230 IV, 14 | and the after will be in time too; for in that in which
231 IV, 14 | reference to past and to future time; for in the past we call "
232 IV, 14 | since the "before" is in time, and every movement involves
233 IV, 14 | and every movement is in time.~It is also worth considering
234 IV, 14 | also worth considering how time can be related to the soul;
235 IV, 14 | related to the soul; and why time is thought to be in everything,
236 IV, 14 | they are all in place), and time and movement are together,
237 IV, 14 | Whether if soul did not exist time would exist or not, is a
238 IV, 14 | count, there would not be time unless there were soul,
239 IV, 14 | but only that of which time is an attribute, i.e. if
240 IV, 14 | attributes of movement, and time is these qua numerable.~
241 IV, 14 | question what sort of movement time is the number of. Must we
242 IV, 14 | both come into being in time and pass away, and grow,
243 IV, 14 | grow, and are altered in time, and are moved locally;
244 IV, 14 | movement qua movement that time is the number. And so it
245 IV, 14 | movements. Is there another time, then, and will there be
246 IV, 14 | once? Surely not. For a time that is both equal and simultaneous
247 IV, 14 | simultaneous is one and the same time, and even those that are
248 IV, 14 | simultaneous limits have the same time, yet the one may in fact
249 IV, 14 | other alteration; still the time of the two changes is the
250 IV, 14 | different and separate, the time is everywhere the same,
251 IV, 14 | similarly times by some definite time, and, as we said, time is
252 IV, 14 | definite time, and, as we said, time is measured by motion as
253 IV, 14 | motion as well as motion by time (this being so because by
254 IV, 14 | by a motion definite in time the quantity both of the
255 IV, 14 | of the motion and of the time is measured): if, then,
256 IV, 14 | can be. This also is why time is thought to be the movement
257 IV, 14 | are measured by this, and time by this movement.~This also
258 IV, 14 | things are discriminated by time, and end and begin as though
259 IV, 14 | conforming to a cycle; for even time itself is thought to be
260 IV, 14 | opinion again is held because time is the measure of this kind
261 IV, 14 | that there is a circle of time; and this is to say that
262 IV, 14 | now discussed time-both time itself and the matters appropriate
263 V, 1 | motion takes place, namely time, and (distinct from these
264 V, 1 | found in everything, at any time, and in any respect. Change
265 V, 1 | as Being, Quality, Place, Time, Relation, Quantity, and
266 V, 2 | clear, then, that by the time that it has become sick,
267 V, 2 | this change changes at one time to knowledge, at another
268 V, 2 | difficulty after a long time or whose movement is slow
269 V, 3 | the material-not in the time (for a gap in the time does
270 V, 3 | the time (for a gap in the time does not prevent things
271 V, 4 | the genus is at the same time a species, it is clear that
272 V, 4 | motion takes place during a time. Of these three it is the
273 V, 4 | in subject, and it is the time that makes it consecutive:
274 V, 4 | which it takes place (the time) must be one and unintermittent,
275 V, 4 | restored to health at the same time in the same way, e.g. from
276 V, 4 | specifically the same but at one time and again at another: in
277 V, 4 | successive in virtue of the time being continuous, but there
278 V, 4 | of one thing, and in one time. Unity is required in respect
279 V, 4 | is required in respect of time in order that there may
280 V, 4 | there is an interval of time. And though of a motion
281 V, 4 | specifically one (even if the time is unintermittent) the time
282 V, 4 | time is unintermittent) the time is one, the motion is specifically
283 V, 4 | in the place nor in the time nor in the goal but in the
284 V, 5 | contrary is at the same time a motion to a contrary or
285 V, 5 | contraries are at the same time motions from contraries (
286 V, 6 | remaining in B. At the same time these two are also contrary
287 V, 6 | therefore this earth during the time that it was being carried
288 VI, 1 | be composed of points or time of moments: for things are
289 VI, 1 | moments is always a period of time.~Again, if length and time
290 VI, 1 | time.~Again, if length and time could thus be composed of
291 VI, 1 | equally to magnitude, to time, and to motion: either all
292 VI, 1 | in motion and at the same time have completed its motion
293 VI, 1 | to Thebes and at the same time have completed his walk
294 VI, 1 | be divisible: for at the time when O was passing through,
295 VI, 1 | at rest and at the same time in motion: for, as we saw,
296 VI, 1 | nor less necessary that time also be similarly indivisible,
297 VI, 1 | through less of it in less time, the time must also be divisible,
298 VI, 1 | of it in less time, the time must also be divisible,
299 VI, 1 | and conversely, if the time in which a thing is carried
300 VI, 2 | greater magnitude in an equal time, an equal magnitude in less
301 VI, 2 | equal magnitude in less time, and a greater magnitude
302 VI, 2 | greater magnitude in less time, in conformity with the
303 VI, 2 | sooner is quicker, in the time ZH, in which A has changed
304 VI, 2 | it: so that in an equal time the quicker will pass over
305 VI, 2 | greater magnitude in less time: for in the time in which
306 VI, 2 | in less time: for in the time in which A has arrived at
307 VI, 2 | A has occupied the whole time ZH in arriving at D, will
308 VI, 2 | have arrived at O in less time than this, say ZK. Now the
309 VI, 2 | the magnitude GE, and the time ZK is less than the whole
310 VI, 2 | ZK is less than the whole time ZH: so that the quicker
311 VI, 2 | greater magnitude in less time. And from this it is also
312 VI, 2 | equal magnitude in less time than the slower. For since
313 VI, 2 | greater magnitude in less time than the slower, and (regarded
314 VI, 2 | over LM the greater in more time than LX the lesser, the
315 VI, 2 | than LX the lesser, the time PRh in which it passes over
316 VI, 2 | LM will be more than the time PS, which it passes over
317 VI, 2 | passes over LX: so that, the time PRh being less than the
318 VI, 2 | PRh being less than the time PCh in which the slower
319 VI, 2 | slower passes over LX, the time PS will also be less than
320 VI, 2 | will also be less than the time PX: for it is less than
321 VI, 2 | for it is less than the time PRh, and that which is less
322 VI, 2 | equal magnitude in less time than the slower. Again,
323 VI, 2 | always occupy either an equal time or less or more time in
324 VI, 2 | equal time or less or more time in comparison with that
325 VI, 2 | its motion occupies more time and of equal velocity if
326 VI, 2 | motion occupies an equal time, the quicker is neither
327 VI, 2 | occupy neither an equal time nor more time. It can only
328 VI, 2 | neither an equal time nor more time. It can only be, then, that
329 VI, 2 | then, that it occupies less time, and thus we get the necessary
330 VI, 2 | well as a greater) in less time than the slower.~And since
331 VI, 2 | since every motion is in time and a motion may occupy
332 VI, 2 | a motion may occupy any time, and the motion of everything
333 VI, 2 | slower motion may occupy any time: and this being so, it necessarily
334 VI, 2 | necessarily follows that time also is continuous. By continuous
335 VI, 2 | follows necessarily that time is continuous. For since
336 VI, 2 | equal magnitude in less time than the slower, suppose
337 VI, 2 | the magnitude GD in the time ZH. Now it is clear that
338 VI, 2 | the same magnitude in less time than this: let us say in
339 VI, 2 | this: let us say in the time ZO. Again, since the quicker
340 VI, 2 | over the whole D in the time ZO, the slower will in the
341 VI, 2 | slower will in the same time pass over GK, say, which
342 VI, 2 | has passed over GK in the time ZO, the quicker will pass
343 VI, 2 | will pass over it in less time: so that the time ZO will
344 VI, 2 | in less time: so that the time ZO will again be divided.
345 VI, 2 | magnitude is divided, the time will also be divided. And
346 VI, 2 | quicker will divide the time and the slower will divide
347 VI, 2 | it is evident that all time must be continuous. And
348 VI, 2 | continuous. And at the same time it is clear that all magnitude
349 VI, 2 | for the divisions of which time and magnitude respectively
350 VI, 2 | arguments make it plain that, if time is continuous, magnitude
351 VI, 2 | given magnitude in half the time taken to cover the whole:
352 VI, 2 | a less magnitude in less time; for the divisions of time
353 VI, 2 | time; for the divisions of time and of magnitude will be
354 VI, 2 | way as the other; i.e. if time is infinite in respect of
355 VI, 2 | respect of its extremities: if time is infinite in respect of
356 VI, 2 | of divisibility: and if time is infinite in both respects,
357 VI, 2 | infinite things in a finite time. For there are two senses
358 VI, 2 | senses in which length and time and generally anything continuous
359 VI, 2 | while a thing in a finite time cannot come in contact with
360 VI, 2 | divisibility: for in this sense the time itself is also infinite:
361 VI, 2 | and so we find that the time occupied by the passage
362 VI, 2 | a finite but an infinite time, and the contact with the
363 VI, 2 | cannot occupy a finite time, and the passage over the
364 VI, 2 | cannot occupy an infinite time: if the time is infinite
365 VI, 2 | an infinite time: if the time is infinite the magnitude
366 VI, 2 | infinite, so also is the time. This may be shown as follows.
367 VI, 2 | is traversed in infinite time G, and let a finite period
368 VI, 2 | finite period GD of the time be taken. Now in this period
369 VI, 2 | passed over in an equal time, and BE measures the whole
370 VI, 2 | whole magnitude, the whole time occupied in passing over
371 VI, 2 | is the case that infinite time is not occupied in passing
372 VI, 2 | magnitude, say BE, in a finite time, and if this BE measures
373 VI, 2 | passed over in an equal time, then it follows that the
374 VI, 2 | then it follows that the time like the magnitude is finite.
375 VI, 2 | is finite. That infinite time will not be occupied in
376 VI, 2 | over BE is evident if the time be taken as limited in one
377 VI, 2 | will be passed over in less time than the whole, the time
378 VI, 2 | time than the whole, the time occupied in traversing this
379 VI, 2 | be traversed in a finite time. It is evident, then, from
380 VI, 2 | occupying any period of time and in an equal time the
381 VI, 2 | of time and in an equal time the quicker passes over
382 VI, 2 | quicker has in the same time been carried over a length
383 VI, 2 | indivisibles EZ, ZH. Then the time may also be divided into
384 VI, 2 | passed over in an equal time. Suppose then that it is
385 VI, 2 | Again, since in the same time the slower has been carried
386 VI, 2 | carried over EZ, ZH, the time may also be similarly divided
387 VI, 2 | indivisible but in a greater time. It is evident, therefore,
388 VI, 3 | sense it is inherent in all time. For the present is something
389 VI, 3 | the other, there will be time intermediate between them,
390 VI, 3 | the intermediate thing is time, it will be divisible: for
391 VI, 3 | will be divisible: for all time has been shown to be divisible.
392 VI, 3 | future in the past: for past time will be marked off from
393 VI, 3 | be marked off from future time at the actual point of division.
394 VI, 3 | be simultaneous: for the time may be divided at many points.
395 VI, 3 | what has been said that time contains something indivisible,
396 VI, 3 | in motion throughout one time and to be at rest throughout
397 VI, 3 | rest for the whole of a time will be in motion or at
398 VI, 3 | same thing can at the same time be at rest and in motion:
399 VI, 3 | whole and in part is at the time of speaking uniform with
400 VI, 3 | which is at rest must occupy time.~
401 VI, 4 | divisible in virtue of the time that it occupies. In the
402 VI, 4 | division, that according to time. For since all motion is
403 VI, 4 | For since all motion is in time and all time is divisible,
404 VI, 4 | motion is in time and all time is divisible, and in less
405 VI, 4 | is divisible, and in less time the motion is less, it follows
406 VI, 4 | be divisible according to time. And since everything that
407 VI, 4 | sphere and for a certain time and has a motion belonging
408 VI, 4 | it, it follows that the time, the motion, the being-in-motion,
409 VI, 4 | For suppose that A is the time occupied by the motion B.
410 VI, 4 | motion B. Then if all the time has been occupied by the
411 VI, 4 | motion to occupy half the time, less again to occupy a
412 VI, 4 | further subdivision of the time, and so on to infinity.
413 VI, 4 | to infinity. Again, the time will be divisible similarly
414 VI, 4 | motion occupies all the time half the motion will occupy
415 VI, 4 | motion will occupy half the time, and less of the motion
416 VI, 4 | will occupy less of the time.~In the same way the being-in-motion
417 VI, 5 | process of change, and the time occupied by the change does
418 VI, 5 | rest in the whole preceding time GA (for we may suppose that
419 VI, 5 | divisible): and let OI be the time in which DZ has changed.
420 VI, 5 | If, then, in the whole time DZ has changed, in half
421 VI, 5 | has changed, in half the time there will be a part that
422 VI, 5 | which changes nor of the time in which it changes is there
423 VI, 5 | change, e.g. the man, the time, and the fair complexion.
424 VI, 5 | Of these the man and the time are divisible: but with
425 VI, 6 | everything that changes changes time, and that in two senses:
426 VI, 6 | that in two senses: for the time in which a thing is said
427 VI, 6 | change may be the primary time, or on the other hand it
428 VI, 6 | any part of the primary time in which it changes. This
429 VI, 6 | Let ChRh be the primary time in which that which is in
430 VI, 6 | is in motion: and (as all time is divisible) let it be
431 VI, 6 | divided at K. Now in the time ChK it either is in motion
432 VI, 6 | is likewise true of the time KRh. Then if it is in motion
433 VI, 6 | should be in motion in a time in no part of which it is
434 VI, 6 | of the two parts of the time, ChRh cannot be the primary
435 VI, 6 | ChRh cannot be the primary time in which it is in motion:
436 VI, 6 | will have reference to a time other than ChRh. It must,
437 VI, 6 | distance KL in the primary time ChRh, in half the time a
438 VI, 6 | primary time ChRh, in half the time a thing that is in motion
439 VI, 6 | began its motion at the same time will have traversed half
440 VI, 6 | certain distance in a certain time, the original thing that
441 VI, 6 | same distance in the same time. Hence that which is in
442 VI, 6 | moment that defines the time, and time is that which
443 VI, 6 | that defines the time, and time is that which is intermediate
444 VI, 6 | taken place in the whole time ChRh or in fact in any period
445 VI, 6 | such period. But half the time finds an extreme in the
446 VI, 6 | taken place in half the time and in fact in any part
447 VI, 6 | is made there is always a time defined by moments. If,
448 VI, 6 | by moments. If, then, all time is divisible, and that which
449 VI, 6 | intermediate between moments is time, everything that is changing
450 VI, 6 | changed in any part of the time of its change, and since
451 VI, 6 | changed at every moment in the time: consequently, since the
452 VI, 6 | has changed in a period of time. For suppose that a thing
453 VI, 6 | there will be a period of time intermediate between the
454 VI, 6 | has changed in a period of time, and all time is divisible,
455 VI, 6 | period of time, and all time is divisible, in half the
456 VI, 6 | is divisible, in half the time it will have completed another
457 VI, 6 | we have only to take the time in which a thing has changed
458 VI, 6 | magnitudes and all periods of time are infinitely divisible.~
459 VI, 6 | particular part of space or time which the changing thing
460 VI, 7 | motion occupies a period of time, and a greater magnitude
461 VI, 7 | is traversed in a longer time, it is impossible that a
462 VI, 7 | finite motion in an infinite time, if this is understood to
463 VI, 7 | that the whole infinite time is occupied by the whole
464 VI, 7 | is traversed in a finite time. For if we take a part of
465 VI, 7 | many equal periods of the time as there are parts of the
466 VI, 7 | collectively, the whole time must also be finite: for
467 VI, 7 | the portion, equal to the time occupied in completing the
468 VI, 7 | been moved in the given time, and let GD be the infinite
469 VI, 7 | and let GD be the infinite time. Now if one part of the
470 VI, 7 | in the later part of the time a different part of the
471 VI, 7 | been traversed: for as the time lengthens a different part
472 VI, 7 | certain period of the infinite time: it cannot itself occupy
473 VI, 7 | itself occupy an infinite time, for we are assuming that
474 VI, 7 | also must occupy a finite time in consequence of the same
475 VI, 7 | measure of the infinite time (for the infinite cannot
476 VI, 7 | accomplished in a finite time. Moreover it is the same
477 VI, 7 | will prove that in a finite time there cannot be an infinite
478 VI, 7 | be a measure of the whole time, in this part a certain
479 VI, 7 | the whole occupies all the time. Again, in another equal
480 VI, 7 | another equal part of the time another part of the magnitude
481 VI, 7 | similarly in each part of the time that we take, whether equal
482 VI, 7 | is clear that while the time is exhausted by the subtraction
483 VI, 7 | not be traversed in finite time: and it makes no difference
484 VI, 7 | infinite magnitude in a finite time, the reason being the same
485 VI, 7 | given above: in part of the time it will traverse a finite
486 VI, 7 | likewise, so that in the whole time it will traverse a finite
487 VI, 7 | an infinite in a finite time, it is clear that neither
488 VI, 7 | traverse a finite in a finite time. For if the infinite could
489 VI, 7 | the infinite in a finite time. Otherwise it would also
490 VI, 7 | the same way by taking the time as our starting-point.~Since,
491 VI, 7 | established that in a finite time neither will the finite
492 VI, 7 | evident also that in a finite time there cannot be infinite
493 VI, 8 | or at rest in the natural time, place, and manner, that
494 VI, 8 | must occupy a period of time: for the motion of that
495 VI, 8 | motion occupies a period of time, and that which is coming
496 VI, 8 | must occupy a period of time.~Again, since the terms "
497 VI, 8 | which occupies a period of time, and the process of coming
498 VI, 8 | any part of the primary time in which it is coming to
499 VI, 8 | two parts into which the time may be divided, it cannot
500 VI, 8 | to a stand in the whole time, with the result that that
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