Book, Paragraph

 1      I,  2 |         better known" are ambiguous terms, for there is a difference
 2      I,  3 |       clearly shown by taking three terms, for to constitute the circle
 3      I,  3 |             difference whether many terms or few or even only two
 4      I,  3 |         premisses. Propositions the terms of which are not convertible
 5      I,  3 |          all, and since convertible terms occur rarely in actual demonstrations,
 6      I,  6 |            mere fact through middle terms or the reasoned fact and
 7      I,  7 |          the extreme and the middle terms must be drawn from the same
 8      I,  8 |   demonstration in the order of its terms. Demonstration and science
 9      I,  9 |         kind as the major and minor terms. The only exceptions to
10      I,  9 |           proved by the same middle terms as arithmetical properties,
11      I,  12|             speak, see these middle terms with an intellectual vision,
12      I,  12|   attributes of the major and minor terms. An instance of this is
13      I,  12|       interposition of fresh middle terms, but by the apposition of
14      I,  12|         apposition of fresh extreme terms. E.g. A is predicated of
15      I,  13|             reciprocally predicable terms the one which is not the
16      I,  13|          the position of the middle terms. But there is another way
17      I,  15|            something other than the terms themselves. It follows that
18      I,  16|          related atomically to more terms than one, neither of those
19      I,  16|          than one, neither of those terms will belong to the other.
20      I,  17|            be predicable of several terms no one of which can be subordinated
21      I,  19|          effected by means of three terms. One kind of syllogism serves
22      I,  19|      substratum-therefore there are terms such as are naturally subjects
23      I,  19|         question is, if the extreme terms are fixed, can there be
24      I,  19|          either the series of prior terms to which a is not attributable
25      I,  19|           the case of reciprocating terms, since when subject and
26      I,  19|           asked-unless, indeed, the terms can reciprocate by two different
27      I,  20|             particular), the middle terms cannot be infinite in number.
28      I,  20|             you have an infinity of terms between you and F; and equally,
29      I,  20|          from F, there are infinite terms between you and A. It follows
30      I,  20|            effect to urge that some terms of the series AB...F are
31      I,  20|          argument at all: whichever terms of the series B...I take,
32      I,  20|          moment, for the succeeding terms in any case are infinite
33      I,  22|         kind of attribution can the terms be infinite. They are not
34      I,  22|       intermediates between any two terms are also always limited
35      I,  22|            be an infinite number of terms between any two terms; but
36      I,  22|            of terms between any two terms; but this is impossible
37      I,  23|          attribute A inheres in two terms C and D predicable either
38      I,  23|          third, so that between two terms an infinity of intermediates
39      I,  23|    essential attributes, the middle terms involved must be within
40      I,  23|           in number with the middle terms, seeing that the immediate
41      I,  23|      conclusion as there are middle terms, since it is propositions
42      I,  23|             containing these middle terms that are the basic premisses
43      I,  25|         both cases alike the middle terms are known, and that middles
44      I,  25| demonstration operate through three terms and two premisses, but whereas
45      I,  25|            the same, because in the terms of an affirmative syllogism
46      I,  26|        impossible.~The order of the terms is the same in both proofs:
47      I,  32|           position. The transferred terms could only fit in as middle
48      I,  32|         could only fit in as middle terms or as major or minor terms,
49      I,  32|          terms or as major or minor terms, or else have some of the
50      I,  32|         else have some of the other terms between them, others outside
51      I,  32|         though the number of middle terms is finite; and lastly some
52      I,  33|           what is revealed by these terms, are the only things that
53      I,  33|             through the same middle terms until the immediate premisses
54      I,  34|            seen the major and minor terms and then grasped the causes,
55      I,  34|      grasped the causes, the middle terms.~Let A represent "bright
56     II,  4 |            B to C-in fact all three terms are "peculiar" to one another:
57     II,  4 |          else through reciprocating terms beg the question. It would
58     II,  5 |           uninterrupted sequence of terms, and omit nothing; and that
59     II,  10|           in the arrangement of its terms. For there is a difference
60     II,  12|      consecutive events: for in the terms of such a series too the
61     II,  12|            too the middle and major terms must form an immediate premiss;
62     II,  12|           if the middle and extreme terms are reciprocal, since conversion
63     II,  12|   conditioned by reciprocity in the terms of the proof. This-the convertibility
64     II,  12|            for posit any one of the terms and another follows from
65     II,  13|            nature is set out in the terms of a demonstration, and
66     II,  13|             same way with the lower terms; for our second term will
67     II,  13|           addition, since all these terms we have selected are elements
68     II,  17|            an explanation in formal terms of the inter-relation of