https://academic.oup.com/jigpal/advance-article-abstract/doi/10.1093/jigpal/jzz041/5670472



Abstract

>From the technical point of view, philosophically neutral, the duality
between a paraconsistent and a paracomplete logic (for example
intuitionistic logic) lies in the fact that explosion does not hold in the
former and excluded middle does not hold in the latter. From the point of
view of the motivations for rejecting explosion and excluded middle, this
duality can be interpreted either ontologically or epistemically. An
ontological interpretation of intuitionistic logic is Brouwer’s idealism;
of paraconsistency is dialetheism. The epistemic interpretation of
intuitionistic logic is in terms of preservation of constructive proof; of
paraconsistency is in terms of preservation of evidence. In this paper, we
explain and defend the epistemic approach to paraconsistency. We argue that
it is more plausible than dialetheism and allows a peaceful and fruitful
coexistence with classical

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