On 01-05-98 William Elliot wrote to John Boone... 
 
        Hello William and thanks for writing, 
  
        [snip] 
  
 WE>  JB> From "Fuzzy Logic" by Bart Kosko preface xvi: 
 
 WE> A mathematician? 
   
  It depends.  However, in an attempt to answer your question, 
I'll give you -his-, Bart Kosko's, words. 
  He says from the same book, preface xv, "I [Bart Kosko] 
pursued gray truth in my graduate training in MATH [caps 
added for emphasis] and electrical engineering and machine 
intelligence. At first I worked with symbols on abstract math 
theorums." 
  Finally, page 7: 
 
        I [BK] brooded about grayness too. It led me from 
        philosophy to mathematics to electrical engineering. 
 
 WE>  JB> Fuzziness has a formal name in science: multivalence. 
 WE>  JB> The opposite of fuzziness is BIVALENCE or TWO-valuedness.  
 
 WE> I haven't seem a workable finite multi-valued propositional calculus. 
 WE> have you? 
 
  Admitted, I haven't spent "much time" in this field so I can't 
say yes.  However, I do have a book, yet to be read, "Fuzzy Logic 
for the Management of Uncertainty." 
  
 WE> Fuzziness uses real numbers does it not?  What's the 
 
  Fuzziness does have "truth values" of zero -to- one. 
  
 WE> difference between fuzzy logic and fuzzy set theory?  Fuzzy 
 
  Good question, one I can't "speak" to completely.  But, one 
I hope to explore one more, as my job is one dealing with 
uncertainty. 
  
 WE> logic seemed like probability while fuzzy set theory didn't 
 WE> use the notion of probability, it used the notion of degree 
 WE> of inclusion, like light pink, pink, light red, red. 
 
  In an attempt, in Aristolian logic, "things" belong to 
a set -xor- not, thus giving truth values of zero -xor- one. 
In Fuzzy logic set theroy, a "thing" may belong to a set 
(A) -AND- (not A) at the same time giving truth values 
between and inclusive of zero and one.  
  I haven't had enough time to read and study sufficient 
to -answer- your questions or -answer- -any- objections 
to what is said (as in Fuzzy Logic is propositional calculus 
in disguise). 
 
Take care, 
John 
 
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