However, to do away with this misconception, I need not here
show the measure of truth in the proverb, "What comes quickly,
goes quickly," nor discuss whether, from the point of view of
universal nature, all things are equally easy, or otherwise: I
need only remark that I am not here speaking of things, which
come to pass through causes external to themselves, but only of
substances which (by Prop. vi.) cannot be produced by any
external cause. Things which are produced by external causes,
whether they consist of many parts or few, owe whatsoever
perfection or reality they possess solely to the efficacy of
their external cause; and therefore their existence arises
solely from the perfection of their external cause, not from
their own. Contrariwise, whatsoever perfection is possessed by
substance is due to no external cause; wherefore the existence
of substance must arise solely from its own nature, which is
nothing else but its essence. Thus, the perfection of a thing
does not annul its existence, but, on the contrary, asserts it.
Imperfection, on the other hand, does annul it; therefore we
cannot be more certain of the existence of anything, than of the
existence of a being absolutely infinite or perfect--that is, of
God. For inasmuch as his essence excludes all imperfection, and
involves absolute perfection, all cause for doubt concerning his
existence is done away, and the utmost certainty on the question
is given. This, I think, will be evident to every moderately
attentive reader.
PROP. XII. No attribute of substance can be conceived from which
it would follow that substance can be divided.
Proof.--The parts into which substance as thus conceived would
be divided either will retain the nature of substance, or they
will not. If the former, then (by Prop. viii.) each part will
necessarily be infinite, and (by Prop. vi.) self--caused, and (by
Prop. v.) will perforce consist of a different attribute, so
that, in that case, several substances could be formed out of one
substance, which (by Prop. vi.) is absurd. Moreover, the parts
(by Prop. ii.) would have nothing in common with their whole, and
the whole (by Def. iv. and Prop. 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. v.) is
absurd. If the latter, then (by Prop. vii.) substance absolutely
infinite could cease to exist, which (by Prop. xi.) is also
absurd.