Book, Paragraph

 1      I, 1 |           By universal I mean the statement that something belongs to
 2      I, 3 |           what has been said: the statement that it is possible that
 3      I, 5 |          to that of the universal statement: by "an opposite manner"
 4      I, 5 |          I mean, if the universal statement is negative, the particular
 5      I, 5 |            For since the negative statement is convertible, N will belong
 6      I, 5 |    science.~If then the universal statement is opposed to the particular,
 7      I, 5 |          nature of the particular statement. For since it is true that
 8      I, 5 |          nature of the particular statement. But if the minor premiss
 9      I, 6 |        For, since the affirmative statement is convertible, S will belong
10      I, 6 |         For since the affirmative statement is convertible S will belong
11      I, 6 |          nature of the particular statement.~Nor is a syllogism possible
12      I, 7 |           assumption of the false statement the syllogism comes about
13      I, 8 |           terms. For the negative statement is convertible alike in
14      I, 8 |         figure when the universal statement is affirmative, and the
15      I, 10|           Since then the negative statement is convertible, B is possible
16      I, 10|        some C. Since the negative statement is convertible, it will
17      I, 10|        Nor again, if the negative statement is necessary but particular,
18      I, 13|        from the proof of a simple statement. We proceed to discuss that
19      I, 14|           belong to no C. For the statement that it is possible for
20      I, 15|    Further we must understand the statement that B’s being depends on
21      I, 17|       belong to no A, for the one statement is the contradictory of
22      I, 24|     premiss, and that a universal statement is proved only when all
23      I, 24|     universal, while a particular statement is proved both from two
24      I, 26|           negatives: the original statement is destroyed, whether the
25      I, 27|    selected, because the negative statement implied above is convertible.
26      I, 27|       universal premisses. If the statement is indefinite, it is uncertain
27      I, 27|          is universal, but if the statement is definite, the matter
28      I, 27|        proposition: for the other statement is useless and impossible,
29      I, 28|          to convert the universal statement into a particular.~It is
30      I, 28|          no F, since the negative statement is convertible, and F belongs
31      I, 31|          need to prove a positive statement, the middle term through
32      I, 31|      neither possible to refute a statement by this method of division,
33      I, 34|           not set out well in the statement, since if the things which
34      I, 36|        true. Take for example the statement that there is a single science
35      I, 45|       figure; but if the negative statement is converted, we shall have
36      I, 45|           C. Convert the negative statement and you will have the middle
37      I, 45|           C. Convert the negative statement, and you will have the first
38      I, 45|            But if the affirmative statement concerns B, and the negative
39      I, 45|         to no C: for the negative statement is convertible.~But if the
40      I, 45| particular, whenever the negative statement concerns the major extreme,
41      I, 45|           C: convert the negative statement and you will have the first
42      I, 45|          But when the affirmative statement concerns the major extreme,
43      I, 45|         but not to all C: for the statement AB does not admit of conversion,
44      I, 45|            viz. when the negative statement is not universal: all the
45      I, 45|          But since the particular statement is convertible, A will belong
46      I, 45|         Similarly if the negative statement is universal, the affirmative
47      I, 45|           Bs. But if the negative statement is particular, no resolution
48      I, 45|     belong to some C: convert the statement BC and both premisses will
49      I, 45|            Whenever the universal statement is negative, resolution
50      I, 45|     figure, whenever the negative statement is universal, e.g. if A
51      I, 45|       some B. But if the negative statement is particular, no resolution
52      I, 46|       good". If then every single statement may truly be said to be
53     II, 2 |          animal. Similarly if the statement AB is negative. For it is
54     II, 2 |        will be true, although the statement BC is false. Similarly if
55     II, 3 |       whichever term the negative statement concerns.~(3) Also if one
56     II, 3 |         Similarly if the negative statement is transposed: the proof
57     II, 4 | conclusion true. Similarly if the statement BC is false, the statement
58     II, 4 |        statement BC is false, the statement AC true, the conclusion
59     II, 6 |     proved whenever the universal statement is affirmative. Let A belong
60     II, 7 |          C: the conclusion is the statement AB. If then it is assumed
61     II, 9 |        belongs to some C, and the statement AB stands, the conclusion
62     II, 9 |          some C. But the original statement has not been refuted: for
63     II, 9 |         be given if the universal statement is affirmative.~
64     II, 14|          refute by reduction to a statement admitted to be false; whereas
65     II, 15|           before, the affirmative statement concerned B, now it concerns
66     II, 17|       ought not to understand the statement that the false conclusion
67     II, 18|        depends on the first false statement in it. Every syllogism is
68     II, 25|          is knowledge. If now the statement BC is equally or more probable
69     II, 25|     reduction: nor again when the statement BC is immediate: for such
70     II, 25|          is immediate: for such a statement is knowledge.~