> .......... 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