On 9/27/2011 4:49 AM, Stephen P. King wrote:
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.



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?


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