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From: sthomas@decan.com (S. F. Thomas)
Subject: Re: Defining fuzzy descriptors (was  NOT and DIFF)
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References: <33116361.40EC@calvanet.calvacom.fr> <m2sp216qts.fsf@mailhost.neuroinformatik.ruhr-uni-bochum.de> <E6zCEu.6o3@decan.com> <3336ac34.2069966569@lll-winken.llnl.gov>
Date: Mon, 24 Mar 1997 17:03:11 GMT
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David A. Fuess (fuess@llnl.gov) wrote:
: sthomas@decan.com (S. F. Thomas) wrote:
: >Yes (see above), but it would certainly be bizarre for someone 
: >to say that somebody is "somewhat tall and not somewhat tall".

: Not necessarily. You are mixing set modifiers and sets in a bizarre
: way. The two sets are "Tall" and "not Tall" (and most of this thread
: is concerned with how one may be derived from the other). "Somewhat"
: is a modifier which I take to mean "has some membership in" (which
: infers that the subject may be, for instance, on the small side of
: tall and the tall side of not Tall) . So, if you stated the
: proposition as "somewhat tall and somewhat not tall,"  then it does
: indeed have meaning.

Yes, but it would not provide the counter-example that was
sought.  The challenge is to find a meaningful expression of 
the form "A AND NOT A".  

(Reminder: that is not the same thing as finding an A for 
which there exist x such that both mu[A](x)>0 and mu[NOT A](x)>0.)

: Dave

Regards,
S. F. Thomas
