property is not itself a _relation_, in the same fundamental sense
in which the relation of fatherhood is so; and also that, if C is a
different child from B, then the property of being father of C is a
different relational property from that of being father of B, although
there is only _one_ relation, that of fatherhood, from which both are
derived. So far as I can make out, those philosophers who talk of
all _relations_ being internal, often actually mean by "relations"
"relational properties"; when they talk of all the "relations" of a
given term, they mean all its relational properties, and not merely
all the different relations, of each of which it is true that the term
has that relation to something. It will, I think, conduce to clearness
to use a different word for these two entirely different uses of the
term "relation" to call "fatherhood" a relation, and "fatherhood of
B" a "relational property." And the fundamental proposition, which is
meant by the assertion that all relations are internal, is, I think, a
proposition with regard to relational properties, and not with regard
to relations properly so-called. There is no doubt that those who
maintain this dogma mean to maintain that all relational properties are
related in a peculiar way to the terms which possess them--that they
modify or are internal to them, in some metaphorical sense. And once we
have defined what this sense is in which a _relational property_ can be
said to be internal to a term which possesses it, we can easily derive
from it a corresponding sense in which the _relations_, strictly so
called, from which relational properties are derived, can be said to be
internal.
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