Book, Paragraph

  1   I, 1 |                                    1~ALL men by nature desire
  2  II, 1 |                                    1~THE investigation of the
  3 III, 1 |                                    1~WE must, with a view to
  4 III, 1 |   prefatory remarks. It is this - (1) whether the investigation
  5 III, 2 |                                 2~(1) First then with regard
  6  IV, 1 |                                    1~THERE is a science which
  7  IV, 4 |       accidental predication. For (1) an accident is not an accident
  8  IV, 5 |            of the sensible world. (1) They think that contradictories
  9  IV, 6 |             then, suffice to show (1) that the most indisputable
 10   V, 1 |                                    1~"BEGINNING" means (1) that
 11   V, 1 |               1~"BEGINNING" means (1) that part of a thing from
 12   V, 2 |                   2~"Cause" means (1) that from which, as immanent
 13   V, 2 |     include this (e.g. the ratio 2:1 and number in general are
 14   V, 2 |      health, and both "the ratio 2:1" and "number" are causes
 15   V, 3 |                 3~"Element" means (1) the primary component immanent
 16   V, 4 |                  4~"Nature" means (1) the genesis of growing
 17   V, 5 |             5~We call "necessary" (1) (a) that without which,
 18   V, 6 |                     6~"One" means (1) that which is one by accident, (
 19   V, 6 |            one by its own nature. (1) Instances of the accidentally
 20   V, 7 |           Things are said to "be" (1) in an accidental sense, (
 21   V, 7 |           2) by their own nature.~(1) In an accidental sense,
 22   V, 8 |             8~We call "substance" (1) the simple bodies, i.e.
 23   V, 9 |                9~"The same" means (1) that which is the same
 24   V, 9 |             Different" is applied (1) to those things which though
 25   V, 10|        term "contrary" is applied (1) to those attributes differing
 26   V, 11|            posterior" are applied (1) to some things (on the
 27   V, 12|                12~"Potency" means (1) a source of movement or
 28   V, 14|                14~"Quality" means (1) the differentia of the
 29   V, 15|          15~Things are "relative" (1) as double to half, and
 30   V, 15|        perceptible to perception.~(1) Relative terms of the first
 31   V, 15|           numbers themselves or to 1. E.g. the double is in a
 32   V, 15|     definite numerical relation to 1, and that which is "many
 33   V, 15|            a definite, relation to 1, i.e. not in this or in
 34   V, 15|          an indefinite relation to 1; the relation of that which
 35   V, 15|         whose quantity is one; and 1 is the beginning and measure
 36   V, 16|           is called "complete" is (1) that outside which it is
 37   V, 17|                  17~"Limit" means (1) the last point of each
 38   V, 18|             has several meanings:-(1) the form or substance of
 39   V, 18|        thing in virtue of itself:-(1) the essence of each thing,
 40   V, 20|                 20~"Having" means (1) a kind of activity of the
 41   V, 21|              21~"Affection" means (1) a quality in respect of
 42   V, 22|           We speak of "privation" (1) if something has not one
 43   V, 23|          hold" means many things:-(1) to treat a thing according
 44   V, 24|        come from something" means (1) to come from something
 45   V, 25|                   25~"Part" means (1) (a) that into which a quantum
 46   V, 26|                26~"A whole" means (1) that from which is absent
 47   V, 28|          race" or "genus" is used (1) if generation of things
 48   V, 28|           used in all these ways, (1) in reference to continuous
 49   V, 29|              29~"The false" means (1) that which is false as
 50   V, 30|               30~"Accident" means (1) that which attaches to
 51  VI, 1 |                                    1~WE are seeking the principles
 52 VII, 1 |                                    1~THERE are several senses
 53 VII, 1 |            first in every sense - (1) in definition, (2) in order
 54 VII, 1 |           but only substance. And (1) in definition also this
 55 VII, 6 |       infinity; for we shall have (1) the essence of one, and (
 56 VII, 14|         must be of this sort.~Now (1) if the "animal" in "the
 57 VII, 17|          or composed of elements, (1) if it is an element the
 58 VIII, 1|                                    1~WE must reckon up the results
 59 VIII, 3|          is a sort of number; for (1) it is divisible, and into
 60  IX, 1 |                                    1~WE have treated of that
 61  IX, 1 |      several senses; for it means (1) that which has not a certain
 62  IX, 7 |          potentially healthy. And (1) the delimiting mark of
 63  IX, 8 |        sense, and in another not.~(1) Clearly it is prior in
 64   X, 1 |                                    1~WE have said previously,
 65   X, 1 |           is used in more senses. (1) There is the continuous,
 66   X, 3 |             has several meanings; (1) we sometimes mean "the
 67   X, 4 | necessarily true. For not only is (1) the complete difference
 68   X, 6 |          relatives are so called:-(1) as contraries; (2) as knowledge
 69   X, 7 |            of the contraries. For (1) all intermediates are in
 70   X, 7 |           then, intermediates are (1) all in the same genus and (
 71  XI, 1 |                                    1~THAT Wisdom is a science
 72  XI, 12|           movement in two senses; (1) movement might be the subject
 73 XII, 1 |                                    1~The subject of our inquiry
 74 XII, 4 |            common element be? For (1) (a) there is nothing common
 75 XII, 5 |          e.g. the cause of man is (1) the elements in man (viz.
 76 XII, 5 |            are the same. They are (1) the same or analogous in
 77 XII, 7 |                           7~Since (1) this is a possible account
 78 XIII, 1|                                    1~WE have stated what is the
 79 XIII, 1|         Ideas are substances. And (1) since some recognize these
 80 XIII, 2|        others prior to these. Now (1) the accumulation becomes
 81 XIII, 6|            it follows that either (1) there is a first in it
 82 XIII, 6|      suppose that 2 is first after 1, and then comes 3 and then
 83 XIII, 6|       number is counted thus-after 1, 2 (which consists of another
 84 XIII, 6|          which consists of another 1 besides the former 1), and
 85 XIII, 6|       another 1 besides the former 1), and 3 which consists of
 86 XIII, 6|          which consists of another 1 besides these two), and
 87 XIII, 6|       number is counted thus-after 1, a distinct 2 which does
 88 XIII, 6|         does not include the first 1, and a 3 which does not
 89 XIII, 6|          of those who say that the 1 is the beginning and substance
 90 XIII, 6|          number is formed from the 1 and something else, almost
 91 XIII, 6|       magnitude. But how the first 1 was constructed so as to
 92 XIII, 6|            make 2. All who say the 1 is an element and principle
 93 XIII, 7|          other ideal numbers. Now (1) all units are associable
 94 XIII, 7|         number that comes from the 1 and the indefinite dyad,
 95 XIII, 7|           proceed immediately from 1 and the indefinite dyad,
 96 XIII, 7|            other. Again, since the 1-itself is first, and then
 97 XIII, 7|         then there is a particular 1 which is first among the
 98 XIII, 7|          others and next after the 1-itself, and again a third
 99 XIII, 7|            but one after the first 1,-so the units must be prior
100 XIII, 7|           is a first unit or first 1, and also that the 2’s should
101 XIII, 7|          is second after the ideal 1, and that a 2 is first after
102 XIII, 7|          they make a first unit or 1, but not also a second and
103 XIII, 7|           e.g. 2 by adding another 1 to the one, 3 by adding
104 XIII, 7|           one, 3 by adding another 1 to the two, and similarly.
105 XIII, 7|           them, from the 2 and the 1; for 2 becomes part of 3
106 XIII, 7|    similarly 2 will consist of the 1-itself and another 1; but
107 XIII, 7|           the 1-itself and another 1; but if this is so, the
108 XIII, 7|             Yet there must, if the 1 and the indefinite dyad
109 XIII, 7|            suppose that in general 1 and 1, whether the things
110 XIII, 7|      suppose that in general 1 and 1, whether the things are
111 XIII, 7|         that when we count thus – "1,2"-we do not proceed by
112 XIII, 7|             when we count and say —1,2,3-we count by addition
113 XIII, 8|            to them either from the 1 or the dyad; for the former
114 XIII, 8|           existing things, and the 1-itself is the starting-point
115 XIII, 8| paradoxical that there should be a 1 which is first of 1’s, as
116 XIII, 8|           be a 1 which is first of 1’s, as they say, but not
117 XIII, 8|         number alone to exist, the 1 is not the starting-point (
118 XIII, 8|   starting-point (for this sort of 1 must differ from the-other
119 XIII, 8|    successive numbers). But if the 1 is the starting-point, the
120 XIII, 8|          meet in the one opinion. (1) Mathematical number cannot
121 XIII, 8|         this reason that they give 1-itself the middle place
122 XIII, 8|           number; in one way, when 1 operates on an even number,
123 XIII, 8|     operates, the numbers got from 1 by doubling are produced;
124 XIII, 8|         they identify the odd with 1; for if the odd implied
125 XIII, 8|           might ask which is prior—1, or 3 or 2? Inasmuch as
126 XIII, 8|           the number is composite, 1 is prior, but inasmuch as
127 XIII, 8|           it is later. How then is 1 the starting-point? Because
128 XIII, 8|             In which way, then, is 1 the starting-point? As has
129 XIII, 8|         one. Accordingly they make 1 the starting-point in both
130 XIII, 8|    universal definitions, so that (1) from the former standpoint
131 XIII, 8|          to the same thing.~If the 1-itself must be unitary (
132 XIII, 8|      differs in nothing from other 1’s except that it is the
133 XIII, 8|         the unit must be liker the 1-itself than the 2 is. But
134 XIII, 9|          whether these succeed the 1-itself or not, and whether,
135 XIII, 9|        things which answers to the 1 different thinkers describe
136 XIII, 9|          no difficulty; but if the 1 and the numbers are separable,
137 XIII, 9|          thought by them to be not 1 but something like 1-and
138 XIII, 9|           not 1 but something like 1-and from other matter like
139 XIV, 1 |                                    1~REGARDING this kind of substance,
140 XIV, 1 |         many, for if it were many, 1 would be few), there must
141 XIV, 2 |            units besides the first 1, but do not go on to inquire
142 XIV, 3 |           two kinds of number is a 1, unity will be something
143 XIV, 3 |          other than those got from 1 by doubling.~It is strange
144 XIV, 5 |  principles.~By intermixture? But (1) not everything is capable
145 XIV, 5 |         like a syllable? But then (1) the elements must have
146 XIV, 5 |             one thinker places the 1 as contrary to plurality,
147 XIV, 5 |          the unequal, treating the 1 as equal, number must be
148 XIV, 5 |   substances and of being-whether (1) as boundaries (as points
149 XIV, 6 |        1X2X3 must be measurable by 1, and 4X5X6 by 4 and therefore