Mysticism and Logic and Other EssaysRussell, Bertrand
Philosophy
Mysticism and Logic and Other Essays
Russell, Bertrand
Mathematics; Philosophy; Science
If, then, we are asserting identity of denotation, we must not mean by
_denotation_ the mere relation of a name to the thing named. In fact,
it would be nearer to the truth to say that the _meaning_ of "Scott"
is the _denotation_ of "the author of Waverley." The relation of
"Scott" to Scott is that "Scott" means Scott, just as the relation of
"author" to the concept which is so called is that "author" means this
concept. Thus if we distinguish meaning and denotation in "the author
of Waverley," we shall have to say that "Scott" has meaning but not
denotation. Also when we say "Scott is the author of Waverley," the
_meaning_ of "the author of Waverley" is relevant to our assertion.
For if the denotation alone were relevant, any other phrase with the
same denotation would give the same proposition. Thus "Scott is the
author of Marmion" would be the same proposition as "Scott is the
author of Waverley." But this is plainly not the case, since from the
first we learn that Scott wrote Marmion and from the second we learn
that he wrote Waverley, but the first tells us nothing about Waverley
and the second nothing about Marmion. Hence the meaning of "the author
of Waverley," as opposed to the denotation, is certainly relevant to
"Scott is the author of Waverley."
We have thus agreed that "the author of Waverley" is not a mere name,
and that its meaning is relevant in propositions in which it occurs.
Thus if we are to say, as Miss Jones does, that "Scott is the author
of Waverley" asserts an identity of denotation, we must regard the
denotation of "the author of Waverley" as the denotation of what is
_meant_ by "the author of Waverley." Let us call the meaning of "the
author of Waverley" M. Thus M is what "the author of Waverley" means.
Then we are to suppose that "Scott is the author of Waverley" means
"Scott is the denotation of M." But here we are explaining our
proposition by another of the same form, and thus we have made no
progress towards a real explanation. "The denotation of M," like "the
author of Waverley," has both meaning and denotation, on the theory we
are examining. If we call its meaning M', our proposition becomes
"Scott is the denotation of M'." But this leads at once to an endless
regress. Thus the attempt to regard our proposition as asserting
identity of denotation breaks down, and it becomes imperative to find
some other analysis. When this analysis has been completed, we shall
be able to reinterpret the phrase "identity of denotation," which
remains obscure so long as it is taken as fundamental.
Public-domain text, read in full here on John Shaqi.
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