Prolegomena to the Study of Hegel's Philosophy, and Especially of His LogicWallace, William
Philosophy
Prolegomena to the Study of Hegel's Philosophy, and Especially of His Logic
Wallace, William
Hegel, Georg Wilhelm Friedrich, 1770-1831; Logic
But the numerical prepossession--as we may call it--creates another
assumption. Every number consists of units: every cube can be regarded
as an aggregation of smaller cubes, and in measurement is (implicitly
at least) so regarded. Transferring this to the physical world, every
object is regarded as a composite--a Large, made up by the addition
and juxtaposition of many (relatively) Littles. The essentials of the
composite are here the elements that compose it: these, by a natural
tendency, we proceed to conceive as remaining always unchanged, and
giving rise by their peculiar juxtaposition to certain perceptions in
the human being. You whirl rapidly a blazing piece of wood, and instead
of a discontinuous series of flashes you see one orbit of luminous
matter: or, let falling rain-drops take up a particular position in
reference to your eyes and the sun, and a rainbow is visible. In both
cases there is what may be called an illusion--the illusion, above
all, of unity and continuity. Now what is in these cases obviously
and demonstrably seen, is, as Leibniz in particular has reminded us,
the general law of all matter as such. In the extended and material
world there is nowhere a real unity discoverable. The small is made
up of the smaller _ad infinitum_[1]. But the conclusion (which
Leibniz drew)--that unity belongs only to v,' Monads and never by any
possibility to a material substance, was not that commonly reached
or accepted. There are--or there must be,--said the prevalent creed,
ultimates, indivisibles, indecomposables, simples, atoms. These are the
final bricks of reality, out of which the apparent universe is built:
each with a maximum,--a _ne plus ultra_--of resistibility, hardness,
fullness, and unsqueezable bulk.
Into further details of these ultimate irreducibles we need not enter.
It is sufficient to denote the general purport of the conception, and
the tendency it implies.
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