Book, Paragraph

 1   I, 1 |        judgement about a class of objects is produced. For to have
 2 III, 1 |         Forms and in mathematical objects intermediate between these
 3 III, 4 |            but all things will be objects of sense, and there will
 4 III, 4 |        dimension, while the other objects of mathematics, e.g. a plane
 5 III, 6 |          this reason, because the objects of mathematics, while they
 6  IV, 6 |          touch says there are two objects when we cross our fingers,
 7   V, 4 |           the elements of natural objects also their nature, some
 8   V, 4 |      means the essence of natural objects, as with those who say the
 9   V, 4 |           the movement of natural objects, being present in them somehow,
10   V, 14|          applies to the unmovable objects of mathematics, the sense
11   V, 29|           account of non-existent objects, in so far as it is false.
12  VI, 1 |           good condition, and the objects of mathematics have first
13  VI, 1 |            in the case of natural objects, and also that it belongs
14  VI, 1 |      theoretical; but whether its objects are immovable and separable
15 VII, 2 |           substance-the Forms and objects of mathematics-as well as
16 VII, 3 |       still at least to four main objects; for both the essence and
17 VII, 9 |        which (like the artificial objects previously considered) can
18 VII, 10|         qua perceptible, i.e. the objects of mathematics.~We have
19 VII, 11|         not a part.~Regarding the objects of mathematics, why are
20 VIII, 1|    schools say that Forms and the objects of mathematics are substances.
21 VIII, 1|      later into the Ideas and the objects of mathematics; for some
22 VIII, 3|        that the nature in natural objects is the only substance to
23  IX, 3 |           non-existent things are objects of thought and desire, but
24  IX, 10|       depends, on the side of the objects, on their being combined
25  IX, 10|           contrary to that of the objects is in error. This being
26  IX, 10|         truth means knowing these objects, and falsity does not exist,
27   X, 1 |           say are the measures of objects. Such thinkers are saying
28   X, 3 |       sense is exemplified in the objects of mathematics. "Other or
29  XI, 1 |        with the Forms or with the objects of mathematics. Now (a)
30  XI, 1 |        there are Forms, as of the objects of mathematics. I mean that
31  XI, 1 |          these thinkers place the objects of mathematics between the
32  XI, 1 |          now seeking treat of the objects of mathematics; for none
33  XI, 1 |           about the matter of the objects of mathematics. Neither
34 XII, 1 |     identifying the Forms and the objects of mathematics, and others
35 XII, 1 |            of these two, only the objects of mathematics. The former
36 XII, 3 |         shares its name. (Natural objects and other things both rank
37 XII, 3 |       only in the case of natural objects. And so Plato was not far
38 XII, 7 |          being moved. The primary objects of desire and of thought
39 XII, 7 |     contact with and thinking its objects, so that thought and object
40 XIII, 1|      subject; it is said that the objects of mathematics-i.e. numbers
41 XIII, 1|           must consider first the objects of mathematics, not qualifying
42 XIII, 1|          not, but only whether as objects of mathematics they exist
43 XIII, 1|           a third inquiry.~If the objects of mathematics exist, they
44 XIII, 1|          exist either in sensible objects, as some say, or separate
45 XIII, 1|         or separate from sensible objects (and this also is said by
46 XIII, 2|       impossible for mathematical objects to exist in sensible things,
47 XIII, 2|        set of realities, from the objects of sense and again from
48 XIII, 2|          of difficulties? For the objects of astronomy will exist
49 XIII, 2|       sensible things just as the objects of geometry will; but how
50 XIII, 2|         apart? Similarly also the objects of optics and of harmonics
51 XIII, 2|     senses as well, and the other objects of sense, will exist apart;
52 XIII, 2|          if one is to suppose the objects of mathematics to exist
53 XIII, 2|        modes of generation of the objects of mathematics show that
54 XIII, 2| sufficiently pointed out that the objects of mathematics are not substances
55 XIII, 3|         mathematics deal not with objects which exist separately,
56 XIII, 3|    without qualification that the objects of mathematics exist, and
57 XIII, 3|         for neither considers its objects qua sight or qua voice,
58 XIII, 4|            4~So much then for the objects of mathematics; we have
59 XIII, 6|           or not separable but in objects of perception (not however
60 XIII, 6|     considered, in the sense that objects of perception consists of
61 XIII, 6|          that those which are the objects of mathematics are different
62 XIII, 6|       otherwise some speak of the objects of mathematics and in a
63 XIII, 6|           and others speak of the objects of mathematics, but not
64 XIII, 8|    certain numbers, but think the objects of mathematics exist and
65 XIII, 9|            For those who make the objects of mathematics alone exist
66 XIII, 9|          are numbers and that the objects of mathematics exist, naturally
67 XIV, 3 |        And it is evident that the objects of mathematics do not exist
68 XIV, 3 |      regarding all number and the objects of mathematics, press this
69 XIV, 3 |     maintain the existence of the objects of mathematics only, and
70 XIV, 3 |        contribute nothing, as the objects of mathematics contribute
71 XIV, 3 |      unless we want to change the objects of mathematics and invent
72 XIV, 3 |           in wanting to unite the objects of mathematics with the
73 XIV, 5 |           place; but mathematical objects are nowhere), and to say
74 XIV, 6 |        seems to indicate that the objects of mathematics are not separable