Book, Paragraph

 1      I, 15|         predicated of D, and D of F, then C is necessarily predicated
 2      I, 15|         necessarily predicated of F. And if each is possible,
 3      I, 24|       equal, the remainders E and F are equal, he will beg the
 4      I, 25|           and again B by means of F and G. Or one may be obtained
 5      I, 28| attributes of E are designated by F, the antecedents of E by
 6      I, 28|         must belong to all E: for F belongs to all E, and A
 7      I, 28|           and E follows all G. If F and D are identical, A will
 8      I, 28|   proposition is convertible, and F is identical with D, A will
 9      I, 28|     belong to none of the Fs, but F belongs to all E. Again,
10      I, 28|         look to KF rather than to F alone, and in reference
11      I, 28|         to KF, it belongs both to F and to E: but if it does
12      I, 28|      follow KF, it may yet follow F. Similarly we must consider
13      I, 28|        belong to no E, when D and F are identical. Thus we have
14      I, 28|           because A belongs to no F, since the negative statement
15      I, 28|     statement is convertible, and F belongs to all E: the middle
16      I, 28|         are identical, e.g. B and F, we have the middle figure
17      I, 28|    aforesaid moods, e.g. if B and F are contraries or cannot
18      I, 28|   syllogism results; but if B and F are contraries B must be
19      I, 46|       this is false. "Assume that F stands for the negation
20      I, 46|   necessary then that either A or F should belong to everything:
21      I, 46|    belongs to everything to which F belongs. Again since either
22      I, 46|       belongs. Again since either F or B belongs to everything,
23      I, 46|         or D, and since H follows F, B must follow D: for we
24      I, 46|           not necessary that A or F should belong to everything,
25      I, 46|     belong to everything, or that F or B should belong to everything:
26      I, 46|         belong to everything: for F is not the denial of A.
27     II, 17|          belongs to B, E to A and F to E, it being false that
28     II, 17|         to E, it being false that F belongs to A. In this way
29     II, 17|          if it is impossible that F should belong to B, the
30     II, 18|           and these through D, E, F, and G, one of these higher
31     II, 18|        inferred by means of D, E, F, and G. Therefore the conclusion
32     II, 19|         be inferred to be true of F, B, C, D, and E being middle
33     II, 25|           for rectilinear figure, F for circle. If there were
34     II, 25|        intermediate between E and F (viz. that the circle is