Book, Paragraph

 1      I,  2 |      conditions are satisfied, the basic truths will not be "appropriate"
 2      I,  2 |          must be the "appropriate" basic truths, for I identify primary
 3      I,  2 |       identify primary premiss and basic truth. A "basic truth" in
 4      I,  2 |        premiss and basic truth. A "basic truth" in a demonstration
 5      I,  2 |      negation. I call an immediate basic truth of syllogism a "thesis"
 6      I,  2 |        some, if not in all, of the basic truths more than in the
 7      I,  2 |            better knowledge of the basic truths and a firmer conviction
 8      I,  2 |            known to him than these basic truths in their character
 9      I,  6 |   knowledge must rest on necessary basic truths; for the object of
10      I,  6 |       naive it is to suppose one’s basic truths rightly chosen if
11      I,  6 |     rejection is no criterion of a basic truth, which can only be
12      I,  9 |      except from its "appropriate" basic truths. Consequently a proof
13      I,  9 |           and as an inference from basic premisses essential and "
14      I,  9 |  essentially, and as inferred from basic premisses essential and "
15      I,  9 |      except from its "appropriate" basic truths, which, however,
16      I,  9 |          evident that the peculiar basic truths of each inhering
17      I,  9 |            are indemonstrable; for basic truths from which they might
18      I,  9 |          might be deduced would be basic truths of all that is, and
19      I,  9 |          knowledge is based on the basic truths appropriate to each
20      I,  9 |            be homogeneous with the basic facts of the science.~
21      I,  10|                      10~I call the basic truths of every genus those
22      I,  10|          proof is required.~Of the basic truths used in the demonstrative
23      I,  10|            the attributes, and the basic premisses.~That which expresses
24      I,  12|        optics, which uses the same basic truths as geometry. Of the
25      I,  12|        give his account, using the basic truths of geometry in conjunction
26      I,  12|       previous conclusions; of the basic truths the geometer, as
27      I,  22| demonstrations necessarily involve basic truths, and that the contention
28      I,  22|         mistaken. For if there are basic truths, (a) not all truths
29      I,  23|           we are on the way to the basic truths. Similarly if A does
30      I,  23|          is no demonstration and a basic truth is reached. There
31      I,  23|          middle terms that are the basic premisses on which the demonstration
32      I,  23|            are some indemonstrable basic truths asserting that "this
33      I,  23|      inheres in that"-in fact some basic truths will affirm and some
34      I,  23|            as in other spheres the basic element is simple but not
35      I,  24|           approaches nearer to the basic truth, and nothing is so
36      I,  24|        premiss which is itself the basic truth. If, then, proof from
37      I,  24|           If, then, proof from the basic truth is more accurate than
38      I,  25|          will be superior.~(3) The basic truth of demonstrative syllogism
39      I,  25|    not-being). It follows that the basic premiss of affirmative demonstration
40      I,  25|  demonstration which uses superior basic premisses is superior.~(
41      I,  25|            more of the nature of a basic form of proof, because it
42      I,  27|            is constituted of fewer basic elements, is more exact
43      I,  28|            from another when their basic truths have neither a common
44      I,  32|    syllogisms cannot have the same basic truths. This may be shown
45      I,  32|         are inferred from the same basic truths; many of them in
46      I,  32|          many of them in fact have basic truths which differ generically
47      I,  32|            it is not true that the basic truths are much fewer than
48      I,  32|           the conclusions, for the basic truths are the premisses,
49      I,  32|             and lastly some of the basic truths are necessary, others
50      I,  32|     conclusions is indefinite, the basic truths cannot be identical
51      I,  32|      except that the sciences have basic truths? To call them identical
52      I,  32|          conclusions have the same basic truths mean that from the
53      I,  32|            premisses which are the basic truths, and a fresh conclusion
54      I,  32|      immediate premisses which are basic truths, each subject-genus
55      I,  32|     subject-genus will provide one basic truth. If, however, it is
56      I,  32|      proved, nor yet admitted that basic truths differ so as to be
57      I,  32|        possibility that, while the basic truths of all knowledge
58      I,  32|        shown by our proof that the basic truths of things generically
59     II,  3 |        demonstrable.~Moreover, the basic premisses of demonstrations
60     II,  3 |         indemonstrable; either the basic premisses will be demonstrable
61     II,  9 |         are immediate, that is are basic premisses; and of these
62     II,  12|          But here too an immediate basic premiss must be assumed.
63     II,  12|         also derive from immediate basic premisses.~
64     II,  13|          of the species; since the basic element of them all is the
65     II,  19|           demonstration. As to the basic premisses, how they become
66     II,  19|        science grasps the original basic premiss, while science as