(i) The expression Magnitude especially marks _determinate_
Quantity, and is for that reason not a suitable name for Quantity
in general. (2) Mathematics usually define magnitude as what can be
increased or diminished. This definition has the defect of containing
the thing to be defined over again: but it may serve to show that the
category of magnitude is explicitly understood to be changeable and
indifferent, so that, in spite of its being altered by an increased
extension or intension, the thing, a house, for example, does not cease
to be a house, and red to be red. (3) The Absolute is pure Quantity.
This point of view is upon the whole the same as when the Absolute is
defined to be Matter, in which, though form undoubtedly is present, the
form is a characteristic of no importance one way or another. Quantity
too constitutes the main characteristic of the Absolute, when the
Absolute is regarded as absolute indifference, and only admitting of
quantitative distinction.--Otherwise pure space, time, &c. may be taken
as examples of Quantity, if we allow ourselves to regard the real as
whatever fills up space and time, it matters not with what.
The mathematical definition of magnitude as what may be increased
or diminished, appears at first sight to be more plausible and
perspicuous than the exposition of the notion in the present
section. When closely examined, however, it involves, under cover
of pre-suppositions and images, the same elements as appear in the
notion of quantity reached by the method of logical development. In
other words, when we say that the notion of magnitude lies in the
possibility of being increased or diminished, we state that magnitude
(or more correctly, quantity), as distinguished from quality, is a
characteristic of such kind that the characterised thing is not in the
least affected by any change in it. What then, it may be asked, is
the fault which we have to find with this definition? It is that to
increase and to diminish is the same thing as to characterise magnitude
otherwise. If this aspect then were an adequate account of it, quantity
would be described merely as whatever can be altered. But quality is
no less than quantity open to alteration; and the distinction here
given between quantity and quality is expressed by saying increase
_or_ diminution: the meaning being that, towards whatever side the
determination of magnitude be altered, the thing still remains what it
is.
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