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PART I: CONCERNING GOD.
Page: 12

anything other than itself. Further, I showed (in Prop. xiv.)
that besides God no substance can be granted or conceived.
Hence we drew the conclusion that extended substance is one of
the infinite attributes of God. 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. As these
absurdities follow, it is said, from considering quantity as
infinite, the conclusion is drawn that extended substance must
necessarily be finite, and, consequently, cannot appertain to the
nature of God.

The second argument is also drawn from God's supreme perfection.
God, it is said, inasmuch as he is a supremely perfect being,
cannot be passive; but extended substance, insofar as it is
divisible, is passive. It follows, therefore, that extended
substance does not appertain to the essence of God.

Such are the arguments I find on the subject in writers, who by
them try to prove that extended substance is unworthy of the
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