The concluding portion of this dialogue and of the work is taken up
with the doctrine of the _Coincidence of Contraries_, which derives
from that of the unity and coincidence of all differences, and which,
although it was undoubtedly contained in his own system, Bruno obtained
directly from Nicholas of Cusa. It is an indirect proof, from the side
of particular things themselves, of the identity of all in the One.
The first illustrations are geometrical.[285] The straight line and
the circle, or the straight line and the curve, are opposites; but
in their elements, or their _minima_, they coincide, for, as Cusanus
saw, there is no difference between the smallest possible arc and the
smallest possible chord. Again, in the _maximum_ there is no difference
between the infinite circle and the straight line; the greater a circle
is, the more nearly it approximates to straightness ... as a line
which is greater in magnitude than another approximates more nearly to
straightness, so the greatest of all ought to be superlatively, more
than all, straight, so that in the end the infinite straight line is an
infinite circle. Thus the maximum and the minimum come together in one
existence, as has already been proved, and both in the maximum and in
the minimum, contraries are one and indifferent.
[Sidenote: "Verifications."]
These geometrical illustrations are "signs" of the identity
of contraries, those which follow are called by Bruno
"verifications,"[286] the first of which is taken from the primary
qualities of bodies. The element of heat, its "principle," must be
indivisible--it cannot have differences within itself, and can be
neither hot nor cold, therefore it is an identity of hot and cold.
"One contrary is the 'principle' or starting-point of the other, and
therefore transmutations are circular, because there is a substrate,
principle, term, continuation and concurrence of both." So minimal
warmth and minimal cold are the same. The movement towards cold takes
its beginning from the limit of greatest heat (its "principle" in
another sense). Thus not only do the two maxima sometimes concur in
resistance, the two minima in concordance, but even the maximum and the
minimum concur through the succession of transmutations. Doctors fear
when one is in the best of health; it is in the height of happiness
that the foreseeing are most timid. So also the "principle" of
corruption and of generation is one and the same. The end of decay is
the beginning of generation; corruption is nothing but a generation,
generation a corruption. Love is hate, hate is love in the end; hatred
of the unfitting is love of the fitting, the love of this the hatred of
that. In substance and in root, therefore, love and hate, friendship
and strife, are one and the same thing. Poison gives its own antidote,
and the greatest poisons are the best medicines. There is but one
potency of two contraries, because contraries are apprehended by one
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