(5) Consequently it is
abundantly clear, that an absolutely infinite being must necessarily be
defined as consisting in infinite attributes each of which expresses a
certain eternal and infinite essence.
(10:6) If anyone now ask, by what sign shall he be able to distinguish
different substances, let him read the following propositions, which show
that there is but one substance in the universe, and that it is absolutely
infinite, wherefore such a sign would be sought for in vain.
Prop. [XI] God, or substance, consisting of infinite attributes, of
which each expresses eternal and infinite essentiality,
necessarily exists.
Proof.- (11:1) If this be denied, conceive, if possible, that God does
not exist: then his essence does not involve existence. (2) But this
(by [vii] ) is absurd. (3) Therefore God necessarily exists.
Another proof.- (11:4) Of everything whatsoever a cause or reason must b
assigned, either for its existence, or for its non-existence, e.g., if a
triangle exist, a reason or cause must be granted for its existence; if,
on the contrary, it does not exist, a cause must also be granted, which
prevents it from existing, or annuls its existence. (5) This reason or
cause must either be contained in the nature of the thing in question,
or be external to it. (6) For instance, the reason for the non-existence
of a square circle is indicated in its nature, namely, because it would
involve a contradiction.
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