The first is a proposition which is quite certainly and obviously true
of all relations, without exception, and which, though it raises points
of great difficulty, can, I think, be clearly enough stated for its
truth to be obvious. It is the proposition that, in the case of any
relation whatever, the kind of fact which we express by saying that
a given term A has that relation to another term B, or to a pair of
terms B and C, or to three terms B, C, and D, and so on, in no case
simply consists in the terms in question _together with_ the relation.
Thus the fact which we express by saying that Edward VII was father
of George V, obviously does not simply consist in Edward, George,
_and_ the relation of fatherhood. In order that the fact may be, it
is obviously not sufficient that there should merely be George and
Edward and the relation of fatherhood; it is further necessary that the
relation should _relate_ Edward to George, and not only so, but also
that it should relate them in the particular way which we express by
saying that Edward was father of George, and not merely in the way
which we should express by saying that George was father of Edward.
This proposition is, I think, obviously true of all relations without
exception: and the only reason why I have mentioned it is because,
in an article in which Mr. Bradley criticises Mr. Russell (_Mind,_
1910, p. 179), he seems to suggest that it is inconsistent with the
proposition that any relations are merely external, and because, so far
as I can make out, some other people who maintain that all relations
are internal seem sometimes to think that their contention follows
from this proposition. The way in which Mr. Bradley puts it is that
such facts are unities which are not _completely analysable_; and this
is, of course, true, if it means merely that in the case of no such
fact is there any set of constituents of which we can truly say: This
fact is _identical with_ these constituents. But whether from this it
follows that all relations are internal must of course depend upon
what is meant by the latter statement. If it be merely used to express
this proposition itself, or anything which follows from it, then, of
course, there can be no doubt that all relations are internal. But I
think there is no doubt that those who say this do not mean by their
words _merely_ this obvious proposition itself; and I am going to point
out something which I think they always imply, and which certainly does
_not_ follow from it.
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