[FOM] relevant logic and paraconsitent logic
Neil Tennant
neilt at mercutio.cohums.ohio-state.edu
Thu Mar 2 16:51:49 EST 2006
On Thu, 2 Mar 2006 praatika at mappi.helsinki.fi wrote:
> Quoting Edwin Mares <Edwin.Mares at vuw.ac.nz>:
>
> > A paraconsistent logic is any logic that rejects as valid the rule
> > scheme: A, ~A => B.
>
>
> So, minimal logic (which is a weakening of intuitionistic logic) is a
> paraconsistent logic.
The inference Panu wishes his reader to draw is one with which I concur:
the minimal-logic inference "A, not-A, therefore not-B" should count as
just as irrelevant as the intuitionistic inference "A, not A, therefore
B".
In neither CR nor IR does either of those inferences hold.
Neil Tennant
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