On 9/27/2011 1:40 PM, meekerdb wrote:
On 9/27/2011 4:49 AM, Stephen P. King wrote:
[SPK]
Not in general, unless one is only going to allow only Boolean
logics to exist. There have been proven to exist logics that have
truth values that range over any set of numbers, not just {0,1}.
Recall the requirement for a mathematical structure to exist:
Self-consistency.
Onward!
Stephen
How do you define consistency for fuzzy or probabilistic logics? If
you prove P(x)=0.1 and P(x)=0.2 is that inconsistency?
Brent
I am not a in a position to write out such definitions. You might find a
thorough explanation of fuzzy logic in any of Bart Kosko's books on the
subject. I am sure that there are papers and or books that explain the
same for probabilistic logic.
Onward!
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