Book, Paragraph

 1      I, 4 |           minor premiss. A similar proof may also be given if the
 2      I, 5 |           not belong to all O: the proof is the same as the above.
 3      I, 6 |           assumed that it did not. Proof is possible also without
 4      I, 9 |       premiss is negative; for the proof is the same.~In particular
 5      I, 9 |        should be negative: for the proof will be the same. But if
 6      I, 11|          then is formed. A similar proof will be given also if BC
 7      I, 11|            means of the same terms proof can be made, should the
 8      I, 11|         will not be necessary. The proof of this by reduction will
 9      I, 13|            has been said about the proof of necessity, how it comes
10      I, 13|            how it differs from the proof of a simple statement. We
11      I, 13|   particular affirmations: for the proof is identical. And such premisses
12      I, 14|      belong to some of the Cs. The proof is the same as above. But
13      I, 14|          is clear that there is no proof of the first or of the second.
14      I, 14|     affirmative. There remains the proof of possibility. But this
15      I, 15|        they are imperfect: for the proof proceeds not from the premisses
16      I, 16|        imperfect is clear from the proof: for it will be proved in
17      I, 17|         not convertible. Nor can a proof be obtained by a reductio
18      I, 17|            then results. A similar proof can be given if the major
19      I, 17|      premisses can be altered, the proof will always proceed through
20      I, 18|       universal or particular. The proof is the same as above, and
21      I, 18|       negative, or particular. The proof is the same and by the same
22      I, 19|           belong to all. A similar proof can be given if the minor
23      I, 19|   syllogism is possible. A similar proof is possible if the major
24      I, 19|        assertoric proposition (the proof proceeds by conversion);
25      I, 19|            can be formed. The same proof will serve, and the same
26      I, 21|           negative particular, the proof will proceed by a reductio
27      I, 22|            first figure. A similar proof may be given if the proposition
28      I, 22|  proposition; for the same kind of proof can be given whether the
29      I, 22|     syllogism is not possible. The proof will follow the same course
30      I, 23|           One sort of hypothetical proof is the reductio ad impossibile.
31      I, 26|           easier to establish: for proof is possible in more figures
32      I, 28|         proposition which requires proof we must look to the aforesaid
33      I, 29|       other propositions requiring proof. The proof per impossibile
34      I, 29|  propositions requiring proof. The proof per impossibile will always
35      I, 30|            be able to discover the proof and demonstrate everything
36      I, 30|       everything which admitted of proof, and to make that clear,
37      I, 30|           nature does not admit of proof.~In general then we have
38      I, 31|            this is his method, but proof is not possible by this
39      I, 44|         cannot be reduced: but the proof that there is not a single
40      I, 46|            is not-musical; and the proof has been made. That whatever
41     II, 1 |           has been assumed without proof that B does not belong to
42     II, 2 |        will be true. (2) A similar proof may be given if each premiss
43     II, 2 |        same way will serve for the proof.~(11) Also though both premisses
44     II, 3 |       statement is transposed: the proof can be made by means of
45     II, 3 |         premiss is transposed, the proof can be made by means of
46     II, 4 |           terms will serve for the proof. Also if both the premisses
47     II, 4 |            is assumed is true: the proof can be made through the
48     II, 5 |            Circular and reciprocal proof means proof by means of
49     II, 5 |         and reciprocal proof means proof by means of the conclusion,
50     II, 5 |            other way is reciprocal proof possible. If another term
51     II, 5 |            is taken as middle, the proof is not circular: for neither
52     II, 5 |     negative syllogisms reciprocal proof is as follows. Let B belong
53     II, 5 |          is not universal, and the proof must start from the conclusion
54     II, 6 |           not be possible. But the proof will proceed as in the universal
55     II, 7 |   universal, the other particular, proof of the latter will sometimes
56     II, 7 |        concerns the minor extreme, proof will be possible, but when
57     II, 7 |            first figure reciprocal proof is made both through the
58     II, 7 |            syllogism is universal, proof is possible through the
59     II, 7 |          of the nature of circular proof or are imperfect.~
60     II, 8 |            premiss is refuted. The proof is the same as before.~
61     II, 9 |           minor premiss. A similar proof can be given if the premisses
62     II, 9 |         belong to some B. The same proof can be given if the universal
63     II, 10|           about B and C. A similar proof can be given if the premisses
64     II, 10|         belong to all C. A similar proof is possible if the premisses
65     II, 14| impossibile differs from ostensive proof in that it posits what it
66     II, 14|           false; whereas ostensive proof starts from admitted positions.
67     II, 14|  conclusion. Also in the ostensive proof it is not necessary that
68     II, 14|    syllogism is not universal, but proof has been given that A does
69     II, 16|         and effecting a reciprocal proof with three propositions.~
70     II, 17|           the case of an ostensive proof; for here what one denies
71     II, 24|  application and does not draw its proof from all the particular
72     II, 26|          of a single science: this proof is in the third figure:
73     II, 26|         the only figure from which proof by signs cannot be obtained.~
74     II, 27|         the third. For example the proof that a woman is with child
75     II, 27|            have milk, C woman. The proof that wise men are good,
76     II, 27|         they state the former. The proof that a woman is with child