Inconsistency-adaptive modal logics: on how to cope with modal inconsistency

In this paper, I will characterize a new class of inconsistency–adaptive logics, namely inconsistency–adaptive modal logics. These logics cope with inconsistencies in a modal context. More specifically, when faced with inconsistencies, inconsistency–adaptive modal logics avoid explosion, but still allow the derivation of sufficient consequences to adequately explicate the intended part of human reasoning.In this paper, I will characterize a new class of inconsistency–adaptive logics, namely inconsistency–adaptive modal logics. These logics cope with inconsistencies in a modal context. More specifically, when faced with inconsistencies, inconsistency–adaptive modal logics avoid explosion, but still allow the derivation of sufficient consequences to adequately explicate the intended part of human reasoning.A