Re: stochastic logic

WSiler (wsiler@aol.com)
Sat, 26 Sep 1998 23:15:34 +0200 (MET DST)

There is an infinity of fuzzy logics ranging from max-min at one end to p AND q
= max(0, p+q-1) and p OR q = min(1, p+q) at the other. It is also possible to
have multivalued logics which obey the laws of contradiction and excluded
middle if the proper logic is chosen from the structure of the logical
proposition; e.g. p AND NOT p requires using the p AND q = max(0, p+q-1) logic,
which in this case returns 0 for AND and 1 for p OR NOT p. Jim Buckley and I
have a paper coming out in Fuzzy Sets and Systems which describes this family
of multi-valued logics.

William Siler
Odium ignorantem est odium infantem,
sed odium savantem est odium ferentem!

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