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Benedict de Spinoza, THE ETHICS Page: 30
>>>>>Proof--If this be denied, conceive, if possible, that it
constitutes the essence of some particular thing; for instance,
the essence of B. Then (II. Def. ii.) it cannot without B
either exist or be conceived; but this is against our hypothesis.
Therefore it does not appertain to B's essence, nor does it
constitute the essence of any particular thing. Q.E.D.
XXXVIII. Those things, which are common to all, and which are
equally in a part and in the whole, cannot be conceived except
adequately.
>>>>>Proof--Let A be something, which is common to all bodies,
and which is equally present in the part of any given body and
in the whole. I say A cannot be conceived except adequately.
For the idea thereof in God will necessarily be adequate (II.
vii. Cor.), both in so far as God has the idea of the human
body, and also in so far as he has the idea of the modifications
of the human body, which (II. xvi., xxv., xxvii.) involve in part
the nature of the human body and the nature of external bodies;
that is (II. xii., xiii.), the idea in God will necessarily be
adequate, both in so far as he constitutes the human mind, and in
so far as he has the ideas, which are in the human mind.
Therefore the mind (II. xi. Cor.) necessarily perceives A
adequately, and has this adequate perception, both in so far as
it perceives itself, and in so far as it perceives its own or
any external body, nor can A be conceived in any other manner.
Q.E.D.
<<<<notions common to all men; for (by Lemma ii.) all bodies agree
in certain respects, which (by the foregoing Prop.) must be
adequately or clearly and distinctly perceived by all.
XXXIX. That, which is common to and a property of the human body
and such other bodies as are wont to affect the human body, and
which is present equally in each part of either, or in the
whole, will be represented by an adequate idea in the mind.
>>>>>Proof--If A be that, which is common to and a property of
the human body and external bodies, and equally present in the
human body and in the said external bodies, in each part of each
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