Book, Paragraph

 1 VII, 6  |          such as some assert the Ideas to be?-If the essence of
 2 VII, 6  |      substances and entities and Ideas besides those which are
 3 VII, 6  |          clear that if there are Ideas such as some people say
 4 VII, 11 |          of those who assert the Ideas some make "two" the line-itself,
 5 VII, 14 |      confronts those who say the Ideas are substances capable of
 6 VII, 14 |         man" is composed will be Ideas. None of them, then, will
 7 VII, 15 |        others are.~Again, if the Ideas consist of Ideas (as they
 8 VII, 15 |          if the Ideas consist of Ideas (as they must, since elements
 9 VII, 15 |         of the supporters of the Ideas produce a definition of
10 VIII, 1 |      universal and the genus the Ideas are connected; it is in
11 VIII, 1 |      must inquire later into the Ideas and the objects of mathematics;
12  IX, 8  |        the dialecticians say the Ideas are, there must be something
13 XII, 3  |         for the existence of the Ideas. For man is begotten by
14 XII, 8  |        stated. For the theory of Ideas has no special discussion
15 XII, 8  |           for those who speak of Ideas say the Ideas are numbers,
16 XII, 8  |       who speak of Ideas say the Ideas are numbers, and they speak
17 XIII, 1 |   substances, and again that the Ideas are substances. And (1)
18 XIII, 1 |        two different classes-the Ideas and the mathematical numbers,
19 XIII, 1 |         whether they are in fact Ideas or not, or whether they
20 XIII, 1 |          separately consider the Ideas themselves in a general
21 XIII, 1 |  existing things are numbers and Ideas; for after the discussion
22 XIII, 1 |      after the discussion of the Ideas this remans as a third inquiry.~
23 XIII, 2 | substance separate both from the Ideas and from the intermediates,-
24 XIII, 4 |        prior. Now, regarding the Ideas, we must first examine the
25 XIII, 4 |  maintained the existence of the Ideas. The supporters of the ideal
26 XIII, 4 |        kind of thing they called Ideas. Therefore it followed for
27 XIII, 4 |     argument, that there must be Ideas of all things that are spoken
28 XIII, 4 |          arguments, some lead to Ideas of relations, of which they
29 XIII, 4 |         for the existence of the Ideas; for it follows that not
30 XIII, 4 |  assumption on the belief in the Ideas rests, there will be Forms
31 XIII, 4 |          shared in there must be Ideas of substances only. For
32 XIII, 4 |          over many?). And if the Ideas and the things that share
33 XIII, 4 |      elements in the essence are Ideas, e.g. "animal" and "two-footed".
34 XIII, 5 |       that works, looking to the Ideas? And any thing can both
35 XIII, 5 |        how, therefore, could the Ideas, being the substances of
36 XIII, 5 |         which they say there are Ideas can both be and come into
37 XIII, 5 |         Forms. But regarding the Ideas it is possible, both in
38 XIII, 6 |         being identical with the Ideas, and mathematical number
39 XIII, 6 |         being different from the Ideas and from sensible things,
40 XIII, 6 |       those which come after the Ideas; and of those who express
41 XIII, 6 |        those who do not make the Ideas numbers nor say that Ideas
42 XIII, 6 |       Ideas numbers nor say that Ideas exist; and others speak
43 XIII, 7 |          kind of number, and the Ideas cannot be the numbers. For
44 XIII, 7 |          any other 3. But if the Ideas are not numbers, neither
45 XIII, 7 |         what principles will the Ideas come? It is number that
46 XIII, 7 |      elements of number, and the Ideas cannot be ranked as either
47 XIII, 7 |           these 2’s also will be Ideas of some kind. And the same
48 XIII, 7 |         all the units come to be Ideas and an Idea will be composed
49 XIII, 7 |         Idea will be composed of Ideas. Clearly therefore those
50 XIII, 7 |     which these happen to be the Ideas will be composite, e.g.
51 XIII, 7 |         of animals, if there are Ideas of them.~In general, to
52 XIII, 7 |      second number.~Nor will the Ideas be numbers. For in this
53 XIII, 7 |    different, if there are to be Ideas; as has been said before.
54 XIII, 8 |           Evidently then, if the Ideas are numbers, the units cannot
55 XIII, 8 |       who do not think there are Ideas, either without qualification
56 XIII, 8 |   something, and the numbers are Ideas, infinite number itself
57 XIII, 8 |        least if they arrange the Ideas as they do.~But if number
58 XIII, 8 |          that are substances and Ideas. Yet they will run short;
59 XIII, 9 |          then, some say that the Ideas and the numbers are such
60 XIII, 9 |         those who believe in the Ideas one might survey at the
61 XIII, 9 |        at the same time make the Ideas universal and again treat
62 XIII, 9 |         arise with regard to the Ideas. His successors, however,
63 XIII, 10|         those who believe in the Ideas and to those who do not,
64 XIII, 10|    naturally, when they make the Ideas out of elements and at the
65 XIII, 10|          the same form there are Ideas, a single separate entity.
66 XIV, 2  |        exist. To the believer in Ideas they provide some sort of
67 XIV, 2  |       inherent objections to the Ideas (so that it is not for this
68 XIV, 3  |     those, then, who suppose the Ideas to exist and to be numbers,
69 XIV, 3  |         for the believers in the Ideas, this difficulty misses
70 XIV, 3  |         will these magnitudes be Ideas, or what is their manner
71 XIV, 3  |          of mathematics with the Ideas. And those who first posited
72 XIV, 4  |       good. But let a man assume Ideas of anything he pleases.
73 XIV, 4  |         he pleases. If these are Ideas only of goods, the Ideas
74 XIV, 4  |         Ideas only of goods, the Ideas will not be substances;
75 XIV, 4  |        be substances; but if the Ideas are also Ideas of substances,
76 XIV, 4  |        but if the Ideas are also Ideas of substances, all animals
77 XIV, 4  |        individuals that share in Ideas will be good.~These absurdities
78 XIV, 6  |          that we need not assume Ideas for this reason at least.~