Book, Paragraph

 1      I,  3 |        cannot traverse an infinite series): if on the other hand-they
 2      I,  3 |            other hand-they say-the series terminates and there are
 3      I,  15|      mutually exclusive coordinate series of predication. If no term
 4      I,  15|     predication. If no term in the series ACD...is predicable of any
 5      I,  15|      predicable of any term in the series BEF...,and if G-a term in
 6      I,  15|             since, if it were, the series would not be mutually exclusive.
 7      I,  17|       middle is taken from another series of predication; e.g. suppose
 8      I,  17|       middle is taken from another series of predication, as was stated
 9      I,  19|       first question is, must this series terminate, or can it proceed
10      I,  19|         and G to B; then must this series also terminate, or can it
11      I,  19|         these cases too either the series of prior terms to which
12      I,  20|        urge that some terms of the series AB...F are contiguous so
13      I,  20|             whichever terms of the series B...I take, the number of
14      I,  20|       infinite: where the infinite series starts, whether from the
15      I,  21|      affirmative demonstration the series terminates in both directions,
16      I,  21|       assumption is justified, the series will also terminate in the
17      I,  21|  Consequently, since the ascending series is finite, the descent will
18      I,  21|       first and second figures the series terminates. If we use the
19      I,  21|       since it is assumed that the series of descending subjects also
20      I,  21|            terminates, plainly the series of more universal non-predicables
21      I,  22|          knowable, and an infinite series cannot be traversed, predicates
22      I,  22|          subjects form an infinite series; e.g. neither the series,
23      I,  22|           series; e.g. neither the series, man is biped, biped is
24      I,  22|            is animal, &c., nor the series predicating animal of man,
25      I,  22|         definable, and an infinite series cannot be traversed in thought:
26      I,  22|       ascending nor the descending series of predication in which
27      I,  22|             while in the ascending series are contained those constitutive
28      I,  22|            attribute, and that the series must end with a term (A)
29      I,  22|  premisses-i.e. hypothetically-the series of intermediate predications
30      I,  22|        single thing, the ascending series is equally finite. Note,
31      I,  22|            infinite, the ascending series will terminate, and consequently
32      I,  22|        consequently the descending series too.~If this is so, it follows
33      I,  22|           ascending and descending series of predication terminate;
34      I,  29|            by taking from the same series of predication middles which
35      I,  29|       taking a middle from another series. Thus let A be change, D
36     II,  12| supposition that coming-to-be is a series of consecutive events: for
37     II,  12|         for in the terms of such a series too the middle and major
38     II,  12|         term in this way, will the series terminate in an immediate
39     II,  13|           second in a "contiguous" series, since when the higher term