Introduction to Mathematical PhilosophyRussell, Bertrand
Philosophy
Introduction to Mathematical Philosophy
Russell, Bertrand
Mathematics -- Philosophy
A proposition containing a description is not identical with
what that proposition becomes when a name is substituted,
even if the name names the same object as the description
describes. "Scott is the author of Waverley" is obviously a
different proposition from "Scott is Scott": the first is a fact
in literary history, the second a trivial truism. And if we put
anyone other than Scott in place of "the author of Waverley,"
our proposition would become false, and would therefore certainly
no longer be the same proposition. But, it may be said, our
proposition is essentially of the same form as (say) "Scott is
Sir Walter," in which two names are said to apply to the same
person. The reply is that, if "Scott is Sir Walter" really means
"the person named 'Scott' is the person named 'Sir Walter,'"
then the names are being used as descriptions: i.e. the individual,
instead of being named, is being described as the person having
that name. This is a way in which names are frequently used
[Pg 174]
in practice, and there will, as a rule, be nothing in the phraseology
to show whether they are being used in this way or as names.
When a name is used directly, merely to indicate what we are
speaking about, it is no part of the fact asserted, or of the falsehood
if our assertion happens to be false: it is merely part of the
symbolism by which we express our thought. What we want
to express is something which might (for example) be translated
into a foreign language; it is something for which the actual
words are a vehicle, but of which they are no part. On the other
hand, when we make a proposition about "the person called
'Scott,'" the actual name "Scott" enters into what we are
asserting, and not merely into the language used in making the
assertion. Our proposition will now be a different one if we
substitute "the person called 'Sir Walter.'" But so long as
we are using names as names, whether we say "Scott" or whether
we say "Sir Walter" is as irrelevant to what we are asserting
as whether we speak English or French. Thus so long as names
are used as names, "Scott is Sir Walter" is the same trivial
proposition as "Scott is Scott." This completes the proof that
"Scott is the author of Waverley" is not the same proposition
as results from substituting a name for "the author of Waverley,"
no matter what name may be substituted.
Public-domain text, read in full here on John Shaqi.
Reviews
Reviews
No reviews yet
Be the first to share your thoughts on this work.
Elsewhere in the archive
Join the Discussion
Join the discussion
Sign in to leave a comment or review.
Sign InorCreate an account