Elements of metaphysicsTaylor, A. E. (Alfred Edward)
Philosophy
Elements of metaphysics
Taylor, A. E. (Alfred Edward)
Metaphysics
The inherent difficulties of the reduction of relations to qualities
are, however, only thinly disguised in this version of the doctrine. To
argue that the establishment of judgments of relation presupposes
subjective comparison of the related terms from a more or less
arbitrarily chosen point of view, is metaphysically irrelevant. The
whole question is as to whether the result of the process is to make
things more intelligible as a systematic whole; if it is, the
subjectivity of the process is no ground for discrediting the result as
truth about the real. If it is not, the philosophers who insist on the
subjectivity of relations should explain how we can coherently think of
a systematic whole of reality in terms of quality apart from relation.
This they have never been able to do, and that for obvious reasons. It
is manifestly impossible to give any intelligible account of the
qualities which we recognise as _fundamenta_ of relations without
introducing previous relations. Thus the possession of the common
magnitude _x_ may be assigned as the foundation of the relation of
equality between A and B; but when we ask what is meant by predicating
of A and B possession of the magnitude _x_, we find that we are thrown
back upon a relation between A, B, and some third term S, which we take
as our unit of measurement. A and B are both of magnitude _x_ because
each contains S, let us say, _x_ times exactly. So again the fact “A
begetter of B” was assigned as the _fundamentum_ of the asymmetrical
relation of paternity between A and B, and the same fact under another
name as the _fundamentum_ of the asymmetrical relation of filiation
between B and A.
But now what is meant by saying that the _same_ fact qualifies A and B
in _different_ ways? Any answer to this question plunges us back at once
into a perfect network of relations. For first, that a fact x may be
known to qualify A and B differently, A and B must themselves be
discriminated, _i.e._ they must be compared and found different, and
without relation difference is unmeaning. For ultimately two terms are
different only when they also possess a common character which admits of
their comparison with reference to a common standard. Thus only things
which are like can be different, and the problem of the relation of
their likeness to their difference is inevitably forced upon us by the
very existence of the difference. And similarly, the common fact _x_
qualifies either term in a definite way, which can be discriminated from
the ways in which other facts qualify the same term, and this
discrimination leads in precisely the same manner to the assertion of
various relations among the different qualities of A and again of B.[90]
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