(7) Again, this idea
of a triangle must involve this same affirmation, namely, that its three
interior angles are equal to two right angles. (8) Wherefore, and vice
versa, this idea of a triangle can neither be nor be conceived without
this affirmation, therefore, this affirmation belongs to the essence of
the idea of a triangle, and is nothing besides. (9) What we have said
of this volition (inasmuch as we have selected it at random) may be said
of anv other volition, namely, that it is nothing but an idea. Q.E.D.
Corollary.- (49:10) Will and understanding are one and the same.
Proof.- (49:11) Will and understanding are nothing beyond the individual
volitions and ideas ([xlviii] and note). (12) But a particular volition
and a particular idea are one and the same (by [xlviii] ); therefore,
will and under. standing are one and the same. Q.E.D.
Note.- (49:13) We have thus removed the cause which is commonly assigned
for error. (14) For we have shown above, that falsity consists solely
in the privation of knowledge involved in ideas which are fragmentary and
confused. (15) Wherefore, a false idea, inasmuch as it is false, does
not involve certainty. (16) When we say, then, that a man acquiesces in
what is false, and that he has no doubts on the subject, we do not say
that he is certain, but only that he does not doubt, or that he acquiesces
in what is false, inasmuch as there are no reasons, which should cause his
imagination to waver (see [xliv] note).
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