(135.) But every class formed on a positive resemblance of characters,
or on a distinct analogy, draws with it the consideration of a negative
class, in which that resemblance either does not subsist at all, or the
contrary takes place; and again, there are classes in which a given
quality is possessed by the different individuals in a descending scale
of intensity. Now, it is of consequence to distinguish between cases
in which there is a real opposition of quality, or a mere diminution
of intensity, in some quality susceptible of degrees, till it becomes
imperceptible. For example, between transparency and opacity there
would at first sight appear a direct opposition; but, on nearer
consideration, when we consider the gradations by which transparency
diminishes in natural substances, we shall see reason to admit that
the latter quality, instead of being the _opposite_ of the former,
is only its _extreme lowest degree_. Again, in the arrangement of
natural objects under the head of weight or specific gravity, the scale
extends through all nature, and we know of no natural body in which the
opposite of gravity, or positive _levity_, subsists. On the other hand,
the opposite electricities; the north and south magnetic polarities;
the alkaline and acid qualities of chemical agents; the positive and
negative rotations impressed by plates of rock crystal on the planes
of polarization of the rays of light, and many other cases, exemplify
not merely a negation, but an active opposition of quality. Both these
modes of classification have their peculiar importance in the inductive
process: the one, as affording an opportunity of tracing a relation
between phenomena by the observation of a correspondence in their
scales of intensity; the other, by that of contrast, as we shall show
more at large in the next section.
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