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Chasing Any (was: Digest Number 217)



On Thu, 7 Aug 2003, Nick Nicholas wrote:

> > In your definitions of intension and extension, where does specificity
> > enter in? lo mikce is by definition "nonspecific", making it
> > intensional, yet it's defined as "da poi broda", which by your
> > explanation is the archetype of extension!
>
> I think I've just realised why we never agreed on lo != any. Extensional
> can still be non-specific. In "I saw a doctor", you don't have a name
> for the doctor in mind, so they aren't specific. But you could
> meaningfully attach a name to them --- interpret the sentence with a
> specific reference --- and it would be meaningful; model theoretical
> semantics works on that very premiss --- you interpret non-specific
> sentences like "I saw a doctor" by enumerating the possible assignments
> of a specific value to the referent. In intensional contexts, by
> contrast, there can be no specific referent plugged in without changing
> the semantic completely. "I saw Dr Fred" is a subset of "I saw a
> doctor"; "I looked for Dr Fred" is not a subset of "I looked for a
> doctor, any doctor".


Not so fast! "Any doctor" is trivially expanded into a long list of every
Doctor's name. This is pragmatically problematic, but not structurally so:
"I will admit any two of your children into my program.", "Open either of
your hands.".

I am attacking your examples of internsionality, but I do agree that there
are two distinct operations at work here: one is describing an in-mind
item, the other is discussing a set of characteristics and whatever items
may fit that bill. Any instance of nonspecificity is doing the latter, not
the former! I reiterate that the specificity and interchangability are
what we should be focusing on. "Any" is related not to intensionality but
to interchangability, and therefore, to "lo".


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