Book, Paragraph

 1  II, 2  |           of things are neither an infinite series nor infinitely various
 2  II, 2  |         more, nor whether they are infinite or finite in number.) But
 3  II, 2  |            But of series which are infinite in this way, and of the
 4  II, 2  |            in this way, and of the infinite in general, all the parts
 5  II, 2  |           all.~Nor can there be an infinite process downwards, with
 6  II, 2  |          number of terms should be infinite. For terms of the former
 7  II, 2  |         process of becoming is not infinite in the upward direction,
 8  II, 2  |            the process will not be infinite; but if there is no such
 9  II, 2  |         but those who maintain the infinite series eliminate the Good
10  II, 2  |          apprehend things that are infinite in this way? For this is
11  II, 2  |            to part.-Again, nothing infinite can exist; and if it could,
12  II, 2  |          notion of infinity is not infinite.~But if the kinds of causes
13  II, 2  |           kinds of causes had been infinite in number, then also knowledge
14  II, 2  |             that but that which is infinite by addition cannot be gone
15 III, 3  |         comes to be practically an infinite number of principles, especially
16 III, 4  |            and the individuals are infinite in number, how then is it
17 III, 4  |            to get knowledge of the infinite individuals? For all things
18 III, 4  |          limit; for no movement is infinite, but every movement has
19 III, 6  |       members of the same kind are infinite in number), so that if there
20  IV, 4  |      everything (there would be an infinite regress, so that there would
21  IV, 4  |           say that the word has an infinite number of meanings, obviously
22  IV, 4  |   accidental attributes, which are infinite in number; let him, then,
23  IV, 4  |           Socrates, cannot form an infinite series in the upward direction;
24  IV, 8  |         the truth or falsity of an infinite number of statements; for
25 VII, 5  |        they have, there will be an infinite regress; for in snub-nose
26 VII, 14 |       there will be practically an infinite number of things whose substance
27 VIII, 3 |        definitory formulae are not infinite), and number also is of
28  IX, 6  |            of matter.~But also the infinite and the void and all similar
29  IX, 6  |     capable of being seen. But the infinite does not exist potentially
30  IX, 6  |      potentially, but not that the infinite exists separately.~Since
31  XI, 2  |           treats of? But these are infinite in number. Yet the things
32  XI, 10 |                             10~The infinite is either that which is
33  XI, 10 |            further, a thing may be infinite in respect of addition or
34  XI, 10 |          subtraction, or both. The infinite cannot be a separate, independent
35  XI, 10 |          if indivisible, it is not infinite, except as the voice is
36  XI, 10 |          we examining this sort of infinite, but the infinite as untraversable.
37  XI, 10 |          sort of infinite, but the infinite as untraversable. Further,
38  XI, 10 | untraversable. Further, how can an infinite exist by itself, unless
39  XI, 10 |          of these? Further, if the infinite is an accident of something
40  XI, 10 |   something else, it cannot be qua infinite an element in things, as
41  XI, 10 |       invisible. And evidently the infinite cannot exist actually. For
42  XI, 10 |            might be taken would be infinite (for "to be infinite" and "
43  XI, 10 |            be infinite (for "to be infinite" and "the infinite" are
44  XI, 10 |           to be infinite" and "the infinite" are the same, if the infinite
45  XI, 10 |     infinite" are the same, if the infinite is substance and not predicated
46  XI, 10 |           is air, so a part of the infinite would be infinite, if the
47  XI, 10 |           of the infinite would be infinite, if the infinite is substance
48  XI, 10 |          would be infinite, if the infinite is substance and a principle).
49  XI, 10 |      indivisible. But the actually infinite cannot be indivisible; for
50  XI, 10 |            universal; but that the infinite is not among sensible things,
51  XI, 10 |        planes", there cannot be an infinite body either sensible or
52  XI, 10 |   intelligible; nor a separate and infinite number, for number or that
53  XI, 10 |            following argument. The infinite can neither be composite
54  XI, 10 |         and no one of them must be infinite; for if one of the two bodies
55  XI, 10 |           will be destroyed by the infinite. And that each should be
56  XI, 10 |            And that each should be infinite is impossible. For body
57  XI, 10 |            all directions, and the infinite is the boundlessly extended,
58  XI, 10 |           extended, so that if the infinite is a body it will be infinite
59  XI, 10 |      infinite is a body it will be infinite in every direction. Nor (
60  XI, 10 |         direction. Nor (b) can the infinite body be one and simple-neither,
61  XI, 10 |           how any of them could be infinite, the All, even if it is
62  XI, 10 |        earth. Therefore if (a) the infinite body is homogeneous, it
63  XI, 10 |         clod which were part of an infinite body, where will this move
64  XI, 10 |          is homogeneous with it is infinite. Will the clod occupy the
65  XI, 10 |           will be either finite or infinite in variety of kind. Finite
66  XI, 10 |          those of one kind will be infinite in quantity and those of
67  XI, 10 |            will not (if the All is infinite), e.g. fire or water would
68  XI, 10 |        e.g. fire or water would be infinite, but such an infinite element
69  XI, 10 |           be infinite, but such an infinite element would be destruction
70  XI, 10 |     elements. But if the parts are infinite and simple, their places
71  XI, 10 |      simple, their places also are infinite and there will be an infinite
72  XI, 10 |      infinite and there will be an infinite number of elements; and
73  XI, 10 |        general, there cannot be an infinite body and also a proper place
74  XI, 10 |         middle or upwards, and the infinite either the whole or the
75  XI, 10 |            Or how will part of the infinite be down and part up, or
76  XI, 10 |           these cannot exist in an infinite body. In general, if there
77  XI, 10 |     general, if there cannot be an infinite place, there cannot be an
78  XI, 10 |          place, there cannot be an infinite body; (and there cannot
79  XI, 10 |             and there cannot be an infinite place,) for that which is
80  XI, 10 |           of these is a limit.~The infinite is not the same in the sense
81  XI, 10 |    posterior among these is called infinite in virtue of its relation
82  XI, 10 |          i.e. a movement is called infinite in virtue of the distance
83  XI, 10 |       growth, and a time is called infinite because of the movement
84  XI, 12 |    something else. Now since of an infinite number of terms there is
85 XII, 6  |         night did not exist for an infinite time, but the same things
86 XII, 7  |          produces movement through infinite time, but nothing finite
87 XII, 7  |             but nothing finite has infinite power; and, while every
88 XII, 7  |          every magnitude is either infinite or finite, it cannot, for
89 XII, 7  |      magnitude, and it cannot have infinite magnitude because there
90 XII, 7  |      magnitude because there is no infinite magnitude at all). But it
91 XII, 8  |           since there cannot be an infinite regress, the end of every
92 XIII, 8 |       Again, number must be either infinite or finite; for these thinkers
93 XIII, 8 |         true. Clearly it cannot be infinite; for infinite number is
94 XIII, 8 |            cannot be infinite; for infinite number is neither odd nor
95 XIII, 8 |         and the numbers are Ideas, infinite number itself will be an
96 XIII, 8 |           so that there will be an infinite number of men; if each 3
97 XIII, 9 |        also, whether the number is infinite or finite. For there was
98 XIII, 9 |            is plurality-itself and infinite plurality; which sort of
99 XIII, 10|            so far as this goes, an infinite number of similar syllables.