Book, Paragraph

 1      I, 5 |          possible to prove these results also by reductio ad impossibile.~
 2      I, 5 |          way stated, a syllogism results of necessity; and if there
 3      I, 6 |       are as stated, a syllogism results of necessity, and if there
 4      I, 7 |  universally, a syllogism always results relating the minor to the
 5      I, 7 |      figures: a syllogism always results by means of conversion.
 6      I, 9 |    conclusion nothing impossible results, just as it does not in
 7      I, 10|      converted, the first figure results. But it has been proved
 8      I, 10|   without qualification.~Similar results will obtain also in particular
 9      I, 13|    necessary but, being assumed, results in nothing impossible. We
10      I, 13|   necessary will be possible. It results that all premisses in the
11      I, 14|         then indeed no syllogism results from the premisses assumed,
12      I, 14| propositions, the same syllogism results as before. For since it
13      I, 14|         the same syllogism again results. Similarly if in both the
14      I, 14|          of the Cs. No syllogism results from the assumed premisses,
15      I, 14|    negative, either no syllogism results, or if one it is not perfect.
16      I, 14|       perfect. For the necessity results from the conversion.~But
17      I, 14|        this manner, no syllogism results. For every syllogism proves
18      I, 14|     premisses a syllogism always results in the first figure, whether
19      I, 14|         only a perfect syllogism results in the first case, an imperfect
20      I, 15|           So a perfect syllogism results. Likewise if the premiss
21      I, 15| attribution, a perfect syllogism results proving that A possibly
22      I, 15|  possible for all C, a syllogism results as before: for the terms
23      I, 15|          taken nothing necessary results in any way; but if the problematic
24      I, 15|   problematic a syllogism always results, only sometimes it results
25      I, 15|       results, only sometimes it results from the premisses that
26      I, 15|         possibility, a syllogism results. But whenever the particular
27      I, 15|    universal, a syllogism always results, but if the minor is universal
28      I, 16|        has been said a syllogism results or not from similar relations
29      I, 17|         is assumed, no absurdity results: consequently no syllogism.
30      I, 17|          C, no false consequence results: for A may belong both to
31      I, 17|      possible. No syllogism then results. A similar proof can be
32      I, 17|        problematic, no syllogism results.~
33      I, 22|  sleep-waking horse-man.~Similar results will obtain if one of the
34      I, 23|        when something impossible results from the assumption of its
35      I, 23|      diagonal, since a falsehood results through contradicting this.
36      I, 28|    syllogism in the first figure results, sometimes a syllogism in
37      I, 28|         happens that a syllogism results from taking contraries or
38      I, 28|          themselves no syllogism results; but if B and F are contraries
39      I, 28|        the Hs, and the syllogism results through these terms. It
40      I, 32|      because something necessary results from what has been laid
41      I, 32|      because something necessary results from what is assumed, since
42      I, 32|   Consequently, though something results when certain propositions
43      I, 33|      thus: but nothing necessary results, nor does a syllogism. Let
44      I, 34|         is assumed no conclusion results, save in respect of possibility:
45      I, 34|         third figure the fallacy results in reference to possibility.
46      I, 41|    suppose that something absurd results through setting out the
47      I, 46|          so something impossible results. It is clear then that B
48      I, 46|       time to the same thing.~It results sometimes even in such an
49     II, 2 |        is not possible. For what results necessarily is the conclusion,
50     II, 4 |         be great, it necessarily results that if B is not great,
51     II, 4 |        white B must be great, it results that if B is not great,
52     II, 5 |         from which the syllogism results must be undemonstrated:
53     II, 5 |           otherwise no syllogism results because the particular premiss
54     II, 7 |          the syllogism no longer results from the conclusion and
55     II, 9 |         C, so that the syllogism results in the contradictory of
56     II, 10|       all B, and B to some C, it results that A belongs to some C:
57     II, 10|          to some C, no syllogism results: nor yet if A belongs to
58     II, 10|         is clear how a syllogism results in each figure when the
59     II, 11|       figure, and what syllogism results. The syllogism per impossibile
60     II, 11|    belong to all B, no syllogism results whichever term the assumed
61     II, 11|    assumed as well, no syllogism results, nor does it do so when
62     II, 11|     assumed concerns B. The same results if the original proposition
63     II, 12|           we shall have the same results as in the first figure.~
64     II, 13|           we shall have the same results as before.~But to prove
65     II, 14|         so that the first figure results. If the syllogism is not
66     II, 15|          medicine is science, it results that some science is not
67     II, 17|  conclusion, that the conclusion results indifferently whether the
68     II, 17|          since the impossibility results whether the first assumption
69     II, 17|        that the false conclusion results independently of the assumption,
70     II, 17|           the same impossibility results through the remaining premisses;
71     II, 18|         conclusion and the error results from one of them.~