Introduction to Mathematical PhilosophyRussell, Bertrand
Philosophy
Introduction to Mathematical Philosophy
Russell, Bertrand
Mathematics -- Philosophy
A name is a simple symbol whose meaning is something that
can only occur as subject, i.e. something of the kind that, in
Chapter XIII., we defined as an "individual" or a "particular."
And a "simple" symbol is one which has no parts that are
symbols. Thus "Scott" is a simple symbol, because, though it
has parts (namely, separate letters), these parts are not symbols.
On the other hand, "the author of Waverley" is not a simple
symbol, because the separate words that compose the phrase
are parts which are symbols. If, as may be the case, whatever
seems to be an "individual" is really capable of further analysis,
we shall have to content ourselves with what may be called
"relative individuals," which will be terms that, throughout
the context in question, are never analysed and never occur
[Pg 173]
otherwise than as subjects. And in that case we shall have
correspondingly to content ourselves with "relative names."
From the standpoint of our present problem, namely, the definition
of descriptions, this problem, whether these are absolute
names or only relative names, may be ignored, since it concerns
different stages in the hierarchy of "types," whereas we
have to compare such couples as "Scott" and "the author of
Waverley," which both apply to the same object, and do not
raise the problem of types. We may, therefore, for the moment,
treat names as capable of being absolute; nothing that we shall
have to say will depend upon this assumption, but the wording
may be a little shortened by it.
We have, then, two things to compare: (1) a name, which
is a simple symbol, directly designating an individual which
is its meaning, and having this meaning in its own right, independently
of the meanings of all other words; (2) a description,
which consists of several words, whose meanings are already
fixed, and from which results whatever is to be taken as the
"meaning" of the description.
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