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.

    Not on your life.
    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:
    > >In article <23af61c2.0108122107.6f0e7aab@posting.google.com>, Robert
    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.
    >
    > >What about two-valued logic?
    >
    > 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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