Book, Paragraph

 1      I, 5 |       conclusions.~It is possible to prove these results also by reductio
 2      I, 5 |             hypotheses, i.e. when we prove per impossibile. And it
 3      I, 6 |         there will be a syllogism to prove that P will necessarily
 4      I, 6 |         there will be a syllogism to prove that one extreme belongs
 5      I, 6 |         there will be a syllogism to prove that the one extreme does
 6      I, 7 |           but it is possible also to prove them by means of the second
 7      I, 7 |            then how syllogisms which prove that something belongs or
 8      I, 8 |              different syllogisms to prove each of these relations,
 9      I, 14|            be a perfect syllogism to prove that A may possibly belong
10      I, 14|             cannot be a syllogism to prove the possibility; for the
11      I, 16|            an imperfect syllogism to prove that A may belong to all
12      I, 16|             then have a syllogism to prove that A may belong to all
13      I, 16|        further it is not possible to prove the assertoric conclusion
14      I, 17|       Moreover it is not possible to prove the convertibility of these
15      I, 18|             a syllogism is formed to prove that B may belong to no
16      I, 19|           will always be possible to prove both a problematic and a
17      I, 23|           and every syllogism should prove either that something belongs
18      I, 23| hypothetically.~If then one wants to prove syllogistically A of B,
19      I, 23|   syllogistically what is false, and prove the original conclusion
20      I, 24|           begged. Suppose we have to prove that pleasure in music is
21      I, 25|           and the syllogism does not prove the original proposition.~
22      I, 26|             and what sort is easy to prove. For that which is concluded
23      I, 28|          syllogism will be formed to prove that A belongs to none of
24      I, 29|        belongs to none. Again we may prove that A belongs to some E:
25      I, 31|      syllogism; for what it ought to prove, it begs, and it always
26      I, 31|    understand what it is possible to prove syllogistically by division,
27      I, 31|              that it was possible to prove syllogistically in the manner
28      I, 31|              when there is a need to prove a positive statement, the
29      I, 31|          have proved. He cannot then prove it: for this is his method,
30      I, 40|           but if the syllogism is to prove that pleasure is the good,
31      I, 40|              but if the object is to prove that pleasure is good, the
32      I, 41|           whole, the prover does not prove from them, and so no syllogism
33      I, 43|          which have been directed to prove some part of the definition,
34      I, 46|             is not-white. But we may prove that it is true to call
35     II, 2 |    syllogisms: it is not possible to prove a false conclusion from
36     II, 2 |            in the same positions, to prove the point.~(9) Again if
37     II, 5 |             it has been necessary to prove that A belongs to all C,
38     II, 5 |           suppose it is necessary to prove that B belongs to C, and
39     II, 5 |               But it is necessary to prove both the premiss CB, and
40     II, 5 |             again it is necessary to prove that A belongs to none of
41     II, 5 |      reversed. If it is necessary to prove that B belongs to C, the
42     II, 5 |      negative, it is not possible to prove the universal premiss, for
43     II, 5 |         above. But it is possible to prove the particular premiss,
44     II, 6 |         figure it is not possible to prove an affirmative proposition
45     II, 7 |   universally, it is not possible to prove them reciprocally: for that
46     II, 7 |            is not possible at all to prove through this figure the
47     II, 7 |               it will be possible to prove the proposition AC, when
48     II, 7 |             the universal premiss to prove the other: for in no other
49     II, 8 |            make another syllogism to prove that either the extreme
50     II, 11|             assumed as well we shall prove syllogistically what is
51     II, 11|             that we must suppose.~To prove that A does not belong to
52     II, 13|            results as before.~But to prove that A belongs to some B,
53     II, 13|    hypothesis must be made if we are prove that A belongs not to all
54     II, 14|            through the same terms to prove each of the problems ostensively
55     II, 16|              whenever a man tries to prove what is not self-evident
56     II, 16|           For one might equally well prove that A belongs to B through
57     II, 16|            in other words failing to prove when the failure is due
58     II, 17|            e.g. if a man, wishing to prove that the diagonal of the
59     II, 17|              the side, should try to prove Zeno’s theorem that motion
60     II, 24|         Phocians. If then we wish to prove that to fight with the Thebans