Book, Paragraph

 1 III, 1 |        some of them must be called forms of Wisdom and the others
 2 III, 1 |          those who believe both in Forms and in mathematical objects
 3 III, 2 |          the existence both of the Forms and of the intermediates,
 4 III, 2 |          sense in which we say the Forms are both causes and self-dependent
 5 III, 2 |          the Platonists making the Forms anything other than eternal
 6 III, 2 |           are to posit besides the Forms and the sensibles the intermediates
 7 III, 2 |          intermediates between the Forms and the perceptible things
 8 III, 2 |     intermediates, but clearly the Forms also might be in the perceptible
 9 III, 6 |          class of things, i.e. the Forms which we posit. If it is
10 III, 6 |          such as some maintain the Forms to be, there will be no
11 III, 6 |          then this must be so, the Forms also must therefore be held
12 III, 6 |            must be maintaining the Forms just because each of the
13 III, 6 |           just because each of the Forms is a substance and none
14 III, 6 |           to suppose both that the Forms exist and that the principles
15  IV, 5 |       Evidently, then, if both are forms of knowledge, the real things
16   V, 3 |          longer divided into other forms of speech different in kind
17 VII, 2 |         two kinds of substance-the Forms and objects of mathematics-as
18 VII, 2 |            substance. And some say Forms and numbers have the same
19 VII, 6 |         this, even if they are not Forms; or rather, perhaps, even
20 VII, 6 |          perhaps, even if they are Forms. (At the same time it is
21 VII, 8 |        cause which consists of the Forms (taken in the sense in which
22 VII, 8 |      maintain the existence of the Forms, i.e. if they are something
23 VII, 8 |         and to substances; and the Forms need not, for this reason
24 VII, 8 |          we should have looked for Forms in these cases if in any;
25 VII, 11|            that the others are not Forms; but thus all things will
26 VII, 11|          reduce all things thus to Forms and to eliminate the matter
27 VII, 14|           differentiae. For if the Forms exist and "animal" is present
28 VII, 14|  impossible, clearly there are not Forms of sensible things in the
29 VII, 16| individuals.~But those who say the Forms exist, in one respect are
30 VII, 16|           are right, in giving the Forms separate existence, if they
31 VIII, 1|        particular schools say that Forms and the objects of mathematics
32 VIII, 2|       qualities; for all these are forms of excess and defect. And
33 VIII, 5|         said to be, and in general forms (for it is not "white" comes
34 VIII, 6|    biped-itself? Why are not those Forms themselves the man, so that
35  IX, 2 |          arts, i.e. all productive forms of knowledge, are potencies;
36   X, 10|   Evidently, then, there cannot be Forms such as some maintain, for
37   X, 10|      another imperishable. Yet the Forms are said to be the same
38  XI, 1 |          must deal either with the Forms or with the objects of mathematics.
39  XI, 1 | mathematics. Now (a) evidently the Forms do not exist. (But it is
40  XI, 1 |          things of which there are Forms, as of the objects of mathematics.
41  XI, 1 |            mathematics between the Forms and perceptible things,
42  XI, 1 |         things apart both from the Forms and from the things in this
43  XI, 11|         which it is moved. But the forms and the affections and the
44 XII, 1 |             others identifying the Forms and the objects of mathematics,
45 XII, 3 |           and destruction of these forms, but it is in another way
46 XII, 3 |        said that there are as many Forms as there are kinds of natural
47 XII, 3 |       natural object (if there are Forms distinct from the things
48 XII, 6 |            as the believers in the Forms do, unless there is to be
49 XII, 6 |      another substance besides the Forms enough; for if it is not
50 XII, 10|           those who believe in the Forms; for why did things come
51 XII, 10|           they participate, in the Forms? And all other thinkers
52 XII, 10|           philosophers. But if the Forms or the numbers are to exist,
53 XIII, 3|      nothing about them. The chief forms of beauty are order and
54 XIII, 4|         then counted them; for the Forms are, one may say, more numerous
55 XIII, 4|         proceeded from them to the Forms. For to each thing there
56 XIII, 4|        which it is proved that the Forms exist, none is convincing;
57 XIII, 4|       follows, and from some arise Forms even of things of which
58 XIII, 4|            they think there are no Forms. For according to the arguments
59 XIII, 4|         the sciences there will be Forms of all things of which there
60 XIII, 4|           over many" there will be Forms even of negations, and according
61 XIII, 4|            perished, there will be Forms of perishable things; for
62 XIII, 4|      general the arguments for the Forms destroy things for whose
63 XIII, 4|         existence the believers in Forms are more zealous than for
64 XIII, 4|            opinions held about the Forms, came into conflict with
65 XIII, 4|         Ideas rests, there will be Forms not only of substances but
66 XIII, 4|         and the opinions about the Forms, if they can be shared in
67 XIII, 4|            eternal.) Therefore the Forms will be substance. But the
68 XIII, 4|           definitions apply to the Forms, e.g. that "plane figure"
69 XIII, 4|         will be present in all the Forms as their genus.~
70 XIII, 5|     question what in the world the Forms contribute to sensible things,
71 XIII, 5|        things cannot come from the Forms in any of the usual senses
72 XIII, 5|       thing, and therefore several Forms; e.g. "animal" and "two-footed",
73 XIII, 5|        also "man-himself", will be Forms of man. Again, the Forms
74 XIII, 5|           Forms of man. Again, the Forms are patterns not only of
75 XIII, 5|            sensible things, but of Forms themselves also; i.e. the
76 XIII, 5|        stated in this way-that the Forms are causes both of being
77 XIII, 5|           becoming. Yet though the Forms exist, still things do not
78 XIII, 5|        which they say there are no Forms. Clearly therefore even
79 XIII, 5|    mentioned, and not owing to the Forms. But regarding the Ideas
80 XIII, 6|        kind of number, that of the Forms, alone exists, and some
81 XIII, 7|        will be in another, and all Forms will be parts of one Form.
82 XIII, 8|            number in the sense of "Forms".~The Pythagorean version
83 XIII, 8|           as some say, firstly the Forms will soon run short; e.g.
84 XIII, 8|         run short; for the various forms of animal will outnumber
85 XIII, 8|       things of which there are no Forms; why, then, are there not
86 XIII, 8|           why, then, are there not Forms of them also? We infer that
87 XIII, 8|            also? We infer that the Forms are not causes. Again, it
88 XIII, 9|           the difficulty about the Forms and their fictitiousness,
89 XIII, 9|       those who wished to make the Forms at the same time also numbers,
90 XIII, 9|            first supposed that the Forms exist and that the Forms
91 XIII, 9|           Forms exist and that the Forms are numbers and that the
92 XIV, 3 |       kinds of number, that of the Forms and that which is mathematical,
93 XIV, 4 |            of goods. Again, if the Forms are numbers, all the Forms
94 XIV, 4 |         Forms are numbers, all the Forms are identical with species
95 XIV, 4 |          of existing apart, and as Forms.~
96 XIV, 5 |      people bring numbers into the forms of triangle and square.