I want now to return for a moment to that other meaning of "internal,"
(p. 286) in which to say that P is internal to A means not merely that
anything which had not P would necessarily be _other_ than A, but that
it would necessarily be _qualitatively_ different. I said that this
was the meaning of "internal" in which the dogma of internal relations
holds that all relational properties are "internal"; and that one of
the most important consequences which followed from it, was that all
relational properties are "internal" in the less extreme sense that
we have just been considering. But, if I am not mistaken, there is
another important consequence which also follows from it, namely, the
Identity of Indiscernibles. For if it be true, in the case of every
relational property, that any term which had net that property would
necessarily be qualitatively different from any which had, it follows
of course that, in the case of two terms one of which has a relational
property, which the other has not the two are qualitatively different.
But, from the proposition that _x_ is other than _y,_ it _does_ follow
that _x_ has some relational property which _y_ has not; and hence,
if the dogma of internal relations be true, it will follow that if
_x_ is other than _y, x_ is always also qualitatively different from
_y,_ which is the principle of Identity of Indiscernibles. This is, of
course, a further objection to the dogma of internal relations, since I
think it is obvious that the principle of Identity of Indiscernibles is
not true. Indeed, so far as I can see, the dogma of internal relations
essentially consists in the joint assertion of two indefensible
propositions: (1) the proposition that in the case of no relational
property is it true of any term which has got that property, that it
_might_ not have had it and (2) the Identity of Indiscernibles.
Public-domain text, read in full here on John Shaqi.
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