PHIL 309: Twentieth
Century Analytic Philosophy LARKIN: Fall 2003
Semantic Puzzle
|
Russell |
Frege |
Meinong |
Law of Identity-The
law of identity implies that the substitution of co-referential terms should
preserve truth value -Scott
=the author of Waverly -“George
IV wondered whether Scott is the author of Waverly” is true. -But
“George IV wondered whether Scott is Scott” is false. |
There
is no failure of substitution because we do not derive the one sentence from
the other by a simple substitution of terms—‘the author of Waverly’ is not a
referring term. |
There
is no failure of substitution because the relevant terms are not
co-referential in such an indirect context.
Neither ‘Scott’ nor ‘the author of Waverly’ refers in this context to
the man Sir Walter Scott—instead they refer to their customary senses, which
are different. |
?????????? Perhaps
Meinong could dig in his heels and say that actually George IV was wondering
whether Scott was Scott. Or perhaps
Meinong could say that “Scott” and “the author of Waverly” actually pick
different existent objects (which happen to overlap in the actual world). |
Law of Excluded Middle-The
law of excluded middle implies that either “The present king of France is
bald” is true or “The present king of France is not bald” is true. -But
if we make a list of all bald things and all things that are not bald, the
present king of France is not on either list. |
The
relevant reading of “The present king of France is not bald”— i.e, ‘It is not
the case that there is a unique present king of France that is bald’—is in
fact true. |
Frege
could say that “The present king of France is not bald” is true because the
subject term actually refers to the null set, and it is true that the null
set is not bald. |
??????????? Perhaps
Meinong would simply deny the law of excluded middle and say that the
existent object referred to by “present king of France” is both bald and not
bald, though in different possible worlds. |
True Negative Existentials-Some
negative existential claims like “The round square does not exist” are true. -Either
the subject term, ‘the round square’ refers or not. -If
it does, then the claim is false and so it is not true. -If it does not, then the claim is meaningless and so it is not true. |
Because
empty phrases like “the round square” are not really referential terms, it
does not follow from the fact that there is no referent that the sentence is
meaningless. |
Again
Frege would want to say that referring expressions like ‘the round square’
actually do refer to the null set, or have the null set as their
extension. And it is true to say
about the members of the null set that they do not exist. |
Meinong
would say that there simply are no true negative existential claims, though there can be true negative subsistence claims. |
Informative Identity Claims-Some
true identity claims are informative, like “Hesperus is Phosphorous”. -But
if it is true, then it means the same as “Hesperus is Hesperus”. -“Hesperus is Hesperus” is trivial and not informative. |
At
least one term of any true informative identity claims is actually a definite
description that is not really a referring term. A true informative identity claim of the form ‘a = the F’ will
not have the same meaning as ‘a = a’. |
True
informative identity claims are in part about the senses of the terms
involved and not just their referents.
So if ‘a’ and ‘b’ have different senses, then ‘a = b’ can be
informative and have a different meaning from ‘a = a’. |
?????????? Perhaps
Meinong would say that there are no true informative identity claims. Or perhaps he would say that terms like
‘Hesperus’ and ‘Phosphorous’ pick out different existent objects that overlap in the actual world. |