# Re: Thomas' Fuzziness and Probability

From: Earl Cox (earldcox1@home.com)
Date: Thu Aug 16 2001 - 09:59:46 MET DST

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> .......... If one
> starts with the fuzzy idea and adds this, probability
> is what will result.

But I'm just too tired to debate this anymore.

earl

"Herman Rubin" <hrubin@odds.stat.purdue.edu> wrote in message
news:9lem1i\$3nr4@odds.stat.purdue.edu...
> In article <9l818o\$36a\$4@fbi-news.cs.uni-dortmund.de>,
> Stephan Lehmke <Stephan.Lehmke@cs.uni-dortmund.de> wrote:
Dodier writes:
>
> >> Consider the mayor of Ashtabula. Let A = "mayor's right eye is blue".
> >> Let B = "mayor's left eye is blue". Let B' = "mayor's left eye is
brown".
> >> What do you suppose is the truth value of A B ? What about A B' ?
>
> >Maybe I'm missing something here.
>
> >Could you again, with rigorous logical notation, state this problem,
> >and point out the difference with two-valued logic?
>
> >> The difficulty is that rules of the kind applied in fuzzy logic
> >> ignore relations between the elements of a compound proposition.
>
>
> It does not give any problems, looked at carefully.
>
> Probability is NOT a truth value system, and does not
> pretend to be so. In a truth value system, the truth
> of a compound proposition follows from that of the
> simple propositions involved. Probabilities have to
> be exist for all compounds simultaneously. If one
> starts with the fuzzy idea and adds this, probability
> is what will result.
> --
> This address is for information only. I do not claim that these views
> are those of the Statistics Department or of Purdue University.
> Herman Rubin, Dept. of Statistics, Purdue Univ., West Lafayette
IN47907-1399
> hrubin@stat.purdue.edu Phone: (765)494-6054 FAX: (765)494-0558

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