Intensive magnitude or Degree is in its notion distinct from Extensive
magnitude or the Quantum. It is therefore inadmissible to refuse,
as many do, to recognise this distinction, and without scruple to
identify the two forms of magnitude. They are so identified in
physics, when difference of specific gravity is explained by saying,
that a body, with a specific gravity twice that of another, contains
within the same space twice as many material parts (or atoms) as the
other. So with heat and light, if the various degrees of temperature
and brilliancy were to be explained by the greater or less number of
particles (or molecules) of heat and light. No doubt the physicists,
who employ such a mode of explanation, usually excuse themselves, when
they are remonstrated with on its untenableness, by saying that the
expression is without prejudice to the confessedly unknowable essence
of such phenomena, and employed merely for greater convenience. This
greater convenience is meant to point to the easier application of the
calculus: but it is hard to see why Intensive magnitudes, having, as
they do, a definite numerical expression of their own, should not be
as convenient for calculation as Extensive magnitudes. If convenience
be all that is desired, surely it would be more convenient to banish
calculation and thought altogether. A further point against the apology
offered by the physicists is, that, to engage in explanations of this
kind, is to overstep the sphere of perception and experience, and
resort to the realm of metaphysics and of what at other times would be
called idle or even pernicious speculation. It is certainly a fact of
experience that, if one of two purses filled with shillings is twice
as heavy as the other, the reason must be, that the one contains, say
two hundred, and the other only one hundred shillings. These pieces
of money we can see and feel with our senses: atoms, molecules, and
the like, are on the contrary beyond the range of sensuous perception;
and thought alone can decide whether they are admissible, and have
a meaning. But (as already noticed in § 98, note) it is abstract
understanding which stereotypes the factor of multeity (involved in the
notion of Being-for-self) in the shape of atoms, and adopts it as an
ultimate principle. It is the same abstract understanding which, in
the present instance, at equal variance with unprejudiced perception
and with real concrete thought, regards Extensive magnitude as the
sole form of quantity, and, where Intensive magnitudes occur, does not
recognise them in their own character, but makes a violent attempt by a
wholly untenable hypothesis to reduce them to Extensive magnitudes.
Public-domain text, read in full here on John Shaqi.
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