Book, Paragraph

 1 III, 4 | individual things; for number is units, and the unit is precisely
 2   V, 26|        total number," "all these units."~
 3 VII, 13|         number is a synthesis of units, as is said by some; for
 4 VIII, 3|          some say, as numbers of units. For a definition is a sort
 5   X, 1 |         weight a weight, that of units a unit. (For we must state
 6   X, 1 |      claimed that the measure of units is units and not a unit;
 7   X, 1 |          the measure of units is units and not a unit; number is
 8   X, 1 |         number is a plurality of units.)~Knowledge, also, and perception,
 9  XI, 2 |        other numbers composed of units, as one? On this point neither
10  XI, 12|     lines in the case of a line, units in that of a unit, or a
11  XI, 12|    belongs to points, but not to units, which have only succession;
12 XIII, 2|       will be a different set of units apart from each set of points,
13 XIII, 6|           a) this is true of the units without exception, and any
14 XIII, 6|        from another. Or (c) some units must be associable and some
15 XIII, 6|       the number series, and the units in each number are associable,
16 XIII, 6|       the other numbers; but the units in the "2-itself" are inassociable
17 XIII, 6|          no one has said all the units are inassociable. And this
18 XIII, 6|   numbers consisting of abstract units; they suppose the units
19 XIII, 6|          units; they suppose the units to have spatial magnitude.
20 XIII, 6|       magnitudes, nor do any two units taken at random make 2.
21 XIII, 6|   numbers to consist of abstract units, except the Pythagoreans;
22 XIII, 7|      then, let us inquire if the units are associable or inassociable,
23 XIII, 7|       ideal numbers. Now (1) all units are associable and without
24 XIII, 7|          numbers.~But (2) if the units are inassociable, and inassociable
25 XIII, 7|     consists of undifferentiated units, and the truths proved of
26 XIII, 7|         they say "2,3,4" for the units in the ideal are generated
27 XIII, 7|        after the first 1,-so the units must be prior to the numbers
28 XIII, 7|      these thinkers has said the units are inassociable in this
29 XIII, 7|         reasonable both that the units should have priority and
30 XIII, 7|         not possible, if all the units are inassociable, that there
31 XIII, 7|         numbers. For whether the units are undifferentiated or
32 XIII, 7|   consist of prior and posterior units? All this is absurd and
33 XIII, 7|    generating principles.~If the units, then, are differentiated,
34 XIII, 7|          10-itself their are ten units, and the 10 is composed
35 XIII, 7|         5’s—or, for that matter, units—the units in this 10 must
36 XIII, 7|       for that matter, units—the units in this 10 must differ.
37 XIII, 7|          since these differ, the units also will differ. But if
38 XIII, 7|        entity apart from its two units, and the 3 an entity apart
39 XIII, 7|      entity apart from its three units, how is this possible? Either
40 XIII, 7|          which can belong to the units of which the 2 or the 3
41 XIII, 7|           so must it be with the units. And their being indivisible
42 XIII, 7|      same account applies to the units; for the units in the first
43 XIII, 7|    applies to the units; for the units in the first 2 generate
44 XIII, 7|       four in 4, so that all the units come to be Ideas and an
45 XIII, 7|    general, to differentiate the units in any way is an absurdity
46 XIII, 7|        consist of differentiated units; and will it be prior to
47 XIII, 7|         be prior; for one of the units is simultaneous with the
48 XIII, 7|      views say that not even two units are 2.~If the number of
49 XIII, 7|         right who claim that the units must be different, if there
50 XIII, 7|       Form is unique; but if the units are not different, the 2’
51 XIII, 8|         if it has a differentia. Units must differ either in quantity
52 XIII, 8|          in quantity. And if the units also did differ in quantity,
53 XIII, 8|        though equal in number of units. Again, are the first units
54 XIII, 8|      units. Again, are the first units greater or smaller, and
55 XIII, 8|       the Ideas are numbers, the units cannot all be associable,
56 XIII, 8|       must differ from the-other units; and if this is so, there
57 XIII, 8|         magnitudes of this sort, units at least have not magnitude;
58 XIII, 8|    number, at least, consists of units, while these thinkers identify
59 XIII, 8|        the elements, nor are the units without difference; for
60 XIII, 8|        Again, how is it with the units in the 3-itself? One of
61 XIII, 8|           But if each of the two units consists of both the great
62 XIII, 8|          of such a sort that the units in the same number are associable),
63 XIII, 8|        is prior; for each of the units is part of the number as
64 XIII, 8|     one-in truth each of the two units exists potentially (at least
65 XIII, 8|        consist of differentiated units, as they say), but not in
66 XIII, 8|         2; therefore each of the units in 2 must be prior to the
67 XIII, 9|     succession, viz. between the units between which there is nothing,
68 XIII, 9|   succeed it, 2 or either of the units in 2 is prior.~Similar difficulties
69 XIII, 9|        plurality; for the single units do not come from plurality
70 XIII, 9|       comes the finite number of units. And there is another plurality
71 XIII, 9|        elements out of which the units are said to be made are
72 XIV, 2 |        also would be numbers and units. But if they had attacked
73 XIV, 2 |       inquire how there are many units besides the first 1, but
74 XIV, 4 |         For on this view all the units become identical with species
75 XIV, 5 |     parts of fire or earth or of units; but the essence is that
76 XIV, 5 |       which consists of abstract units, is neither the cause as
77 XIV, 6 |    another in form; for even the units do); so that we need not