Book, Paragraph

 1      I,  20|    either of A or of F must be finite or infinite: where the infinite
 2      I,  21|        the ascending series is finite, the descent will also terminate
 3      I,  21| terminate, for the methods are finite in number, and if finite
 4      I,  21|       finite in number, and if finite things are combined in a
 5      I,  21|       things are combined in a finite number of ways, the result
 6      I,  21|       ways, the result must be finite.~Thus it is plain that the
 7      I,  22|       essential nature must be finite in number. But as regards
 8      I,  22|  coincidents-both of which are finite. We conclude that there
 9      I,  22|    ascending series is equally finite. Note, moreover, that all
10      I,  22|     their subjects are equally finite: otherwise definition would
11      I,  32|      number of middle terms is finite; and lastly some of the