Elements of metaphysicsTaylor, A. E. (Alfred Edward)
Philosophy
Elements of metaphysics
Taylor, A. E. (Alfred Edward)
Metaphysics
§ 8. Similar consequences, as to the phenomenal character of space and
time, follow from the consideration of the familiar Kantian antinomies
founded upon the concept of spatial and temporal infinity. Space and
time must be externally boundless and internally indefinitely divisible,
and yet again cannot be either. Freed from unessential accessories, the
argument for either side of the antinomy may be stated thus. Space and
time must be boundless because all spatial and temporal existence means
spatial and temporal relation to a second term, itself similarly related
to a third term. For precisely the same reason both must be indefinitely
divisible. Yet again, they can be neither, since only the individual
exists, and within such an interminable network of relations between
terms which are nothing but the supporters of these relations there is
no principle of individual structure.[153] Thus the Kantian antinomies
are a simple consequence of the old difficulty about quality and
relation. Space and time must be mere relations, and the terms of those
relations therefore qualitatively indistinguishable; again, since they
are relations they cannot be relations between nothings or, what is the
same thing, between terms with no individual character. As in all cases
where the problem of relation and quality arises, it then conducts us to
the indefinite regress.
So long as we continue to look upon space and time as real, we have
therefore to choose between two equally illogical alternatives. We must
either arbitrarily refuse to continue the indefinite regress beyond the
point at which its difficulties become apparent, as is done by the
assertion that space and time have finite bounds or indivisible parts,
or we must hold that the absolute experience actually achieves the
summation of an unending series. With the recognition that space and
time are phenomenal, the result of a process of construction forced on
us by our practical needs, but not adequately corresponding to the real
nature of individual existence, the difficulty disappears. Both sides of
the antinomy become relatively true, in the sense that for our practical
purposes we must be content to adopt now the one and again the other;
both become ultimately untrue in the sense that space and time, being
constructions of our own, are _really_ neither finite nor infinite
series, but are the one or the other according to the purposes for which
we use our construction.
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