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. v.) is

absurd. If the latter, then (by Prop. vii.) substance

absolutely infinite could cease to exist, which (by Prop. xi.) is

also absurd.

<<<<<Corollary--It follows that no substance, and consequently no

extended substance, in so far as it is substance, is divisible.

*****Note--The indivisibility of substance may be more easily

understood as follows. The nature of substance can only be

conceived as infinite, and by a part of substance, nothing else

can be understood than finite substance, which (by Prop. viii.)

involves a manifest contradiction.

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