Proof.- In so far as the mind conceives the present existence of its body,
it to that extent conceives duration which can be determined by time, and to
that extent only, has it the power of conceiving things in relation to time
(V:xxi., II:xxvi.). But eternity cannot be explained in terms of duration
(I:Def.viii. and explanation). Therefore to this extent the mind has not the
power of conceiving things under the form of eternity, but it possesses such
power, because it is of the nature of reason to conceive things under the
form of eternity (II:xliv.Coroll.ii.), and also because it is of the nature
of the mind to conceive the essence of the body under the form of eternity
(V:xxiii.), for besides these two there is nothing which belongs to the
essence of mind (II:xiii.). Therefore this power of conceiving things under
the form of eternity only belongs to the mind in virtue of the mind's
conceiving the essence of the body under the form of eternity. Q.E.D.
Note.- Things are conceived by us as actual in two ways; either as existing
in relation to a given time and place, or as contained in God and following
from the necessity of the divine nature. Whatsoever we conceive in this
second way as true or real, we conceive under the form of eternity, and
their ideas involve the eternal and infinite essence of God, as we showed
in II:xlv.&Note, which see.
Prop. XXX. Our mind, in so far as it knows itself and the body
under the form of eternity, has to that extent necessarily a
knowledge of God, and knows that it is in God, and is conceived
through God.
Proof.- Eternity is the very essence of God, in so far as this involves
necessary existence (I:Def.viii.). Therefore to conceive things under the
form of eternity, is to conceive things in so far as they are conceived
through thp essence of God as real entities, or in so far as they involve
existence through the essence of God; wherefore our mind, in so far as it
conceives itself and the body under the form of eternity, has to that extent
necessarily a knowledge of God, and knows, &c. Q.E.D.
Prop. XXXI. The third kind of knowledge
depends on the mind, as its formal cause,
in so far as the mind itself is eternal.
Proof.- The mind does not conceive anything under the form of eternity,
except in so far as it conceives its own body under the form of eternity
(V:xxix.); that is, except in so far as it is eternal (V:xxi., V:xxiii.);
therefore (by the last Prop.), in so far as it is eternal, it possesses the
knowledge of God, which knowledge is necessarily adequate
(II:xlvi.); hence the mind, in so far as it is eternal, is capable of
knowing everything which can follow from this given knowledge of God
(II:xl.), in other words, of knowing things by the third kind of knowledge
(see Def. in II:xl.Note.ii.), whereof accordingly the mind (III:Def.i.), in
so far as it is eternal, is the adequate or formal cause of such knowledge.
Q.E.D.
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