Among the charges made against modern philosophy, one is heard more
than another. Modern philosophy, it is said, reduces everything to
identity. Hence its nickname, the Philosophy of Identity. But the
present discussion may teach that it is philosophy, and philosophy
alone, which insists on distinguishing what is logically as well as
in experience different; while the professed devotees of experience
are the people who erect abstract identity into the chief principle
of knowledge. It is their philosophy which might more appropriately
be termed one of identity. Besides it is quite correct that there are
no merely Extensive and merely Intensive magnitudes, just as little
as there are merely continuous and merely discrete magnitudes. The
two characteristics of quantity are not opposed as independent kinds.
Every Intensive magnitude is also Extensive, and _vice versâ._ Thus a
certain degree of temperature is an Intensive magnitude, which has a
perfectly simple sensation corresponding to it as such. If we look at a
thermometer, we find this degree of temperature has a certain expansion
of the column of mercury corresponding to it; which Extensive magnitude
changes simultaneously with the temperature or Intensive magnitude. The
case is similar in the world of mind: a more intensive character has a
wider range with its effects than a less intensive.
104.] In Degree the notion of quantum is explicitly put. It is
magnitude as indifferent on its own account and simple: but in such
a way that the character (or modal being) which makes it a quantum
lies quite outside it in other magnitudes. In this contradiction,
where the _independent_ indifferent limit is absolute _externality,_
the Infinite Quantitative Progression is made explicit--an immediacy
which immediately veers round into its counterpart, into mediation (the
passing beyond and over the quantum just laid down), and _vice versâ._
Number is a thought, but thought in its complete self-externalisation.
Because it is a thought, it does not belong to perception: but it is a
thought which is characterised by the externality of perception.--Not
only therefore _may_ the quantum be increased or diminished without
end: the very notion of quantum is thus to push out and out beyond
itself. The infinite quantitative progression is only the meaningless
repetition of one and the same contradiction, which attaches to the
quantum, both generally and, when explicitly invested with its special
character, as degree. Touching the futility of enunciating this
contradiction in the form of infinite progression, Zeno, as quoted by
Aristotle, rightly says, 'It is the same to say a thing once, and to
say it for ever.'
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