On 2/18/2012 11:09 AM, Stephen P. King wrote:
Think about it, what would be the consequence of allowing A ^ ~A to occur in
sharable 1p? If we start out with the assumption that all logics exist as possible and
then consider which logics allow for sharable 1p, then only the logics that include the
law of bivalence would have sharable 1p that have arbitrarily long continuations.
We could get contradictions in the physics at least!
No, that's confusing talk about physics from physics. There are para-consistent logics
which permit (A and not-A) but block inference to every proposition (c.f. Graham Priest
"In Contradiction").
Brent
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