paraconsistent
Adjective
Meaning
paraconsistent (not comparable)
(logic) Dealing with contradictions in a discriminating way, in order to avoid acceptance of one from entailing acceptance of all contradictions.
Examples
But not all paraconsistent logics deny the law, since they are not necessarily completely agnostic to inconsistencies in general.
Disjunction introduction is controversial in paraconsistent logic because in combination with other rules of logic, it leads to explosion (i.e. everything becomes provable).
Defeasible reasoning and paraconsistent reasoning are two techniques that can be employed to deal with inconsistency.
Collectively, these logics are known as " paraconsistent " or "inconsistency-tolerant" logics.
See Lewis (1982), p. A related objection that is that "negation" in paraconsistent logic is not really negation ; it is merely a subcontrary -forming operator.