Book, Paragraph

 1      I,  3 |      demonstration, maintain that an infinite regress is involved, on
 2      I,  3 |           for one cannot traverse an infinite series): if on the other
 3      I,  19|             a is not attributable is infinite or it terminates.~One cannot
 4      I,  19|           question in both cases-are infinite in number. These questions
 5      I,  20|           the middle terms cannot be infinite in number. For suppose that
 6      I,  20| intermediates-call them BB’B"...-are infinite, then clearly you might
 7      I,  20|             ascend from F, there are infinite terms between you and A.
 8      I,  20|            or of F must be finite or infinite: where the infinite series
 9      I,  20|        finite or infinite: where the infinite series starts, whether from
10      I,  20|     succeeding terms in any case are infinite in number.~
11      I,  22|             form is knowable, and an infinite series cannot be traversed,
12      I,  22|          descending subjects form an infinite series; e.g. neither the
13      I,  22|             its essential nature, is infinite. For all such substance
14      I,  22|       substance is definable, and an infinite series cannot be traversed
15      I,  22|            ascent nor the descent is infinite, since a substance whose
16      I,  22|      substance whose predicates were infinite would not be definable.
17      I,  22|              the impossibility of an infinite ascending series-every predication
18      I,  22|    predicated of a single subject is infinite. For the subjects of which
19      I,  22|           these we have seen are not infinite in number, while in the
20      I,  22|          demonstrable predicates are infinite in number and therefore
21      I,  22|        descent of predication can be infinite in the demonstrative sciences
22      I,  22|         attribution can the terms be infinite. They are not infinite where
23      I,  22|            be infinite. They are not infinite where each is related to
24      I,  22|        ultimate subject of the whole infinite chain of attributes, and
25      I,  22|        essential and these cannot be infinite, the ascending series will
26      I,  22|             demonstrable, and (b) an infinite regress is impossible; since
27      I,  22|           infinity there might be an infinite number of terms between
28     II,  12|            it. And here too the same infinite divisibility might be urged,