However, in order to explain more fully, I will refute the arguments of my adversaries, which all start from the following points:---- Extended substance, in so far as it is substance, consists, as they think, in parts, wherefore they deny that it can be infinite, or consequently, that it can appertain to God.

This they illustrate with many examples, of which I will take one or two.

If extended substance, they say, is infinite, let it be conceived to be divided into two parts; each part will then be either finite or infinite.

If the former, then infinite substance is composed of two finite parts, which is absurd.

If the latter, then one infinite will be twice as large as another infinite, which is also absurd.
Further, if an infinite line be measured out in foot lengths, it will consist of an infinite number of such parts; it would equally consist of an infinite number of parts, if each part measured only an inch: therefore, one infinity would be twelve times as great as the other.
Lastly, if from a single point there be conceived to be drawn two diverging lines which at first are at a definite distance apart, but are produced to infinity, it is certain that the distance between the two lines will be continually increased, until at length it changes from definite to indefinable.