x.) could both exist and be conceived without its parts, which everyone will admit to be absurd.

If we adopt the second alternative--namely, that the parts will not retain the nature of substance--then, if the whole substance were divided into equal parts, it would lose the nature of substance, and would cease to exist, which (by Prop.

vii.) is absurd.
PROP.XIII.

Substance absolutely infinite is indivisible.
Proof .-- If it could be divided, the parts into which it was divided would either retain the nature of absolutely infinite substance, or they would not.

If the former, we should have several substances of the same nature, which (by Prop.