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  1. Inconsistency-Adaptive Modal Logics. On How to Cope with Modal Inconsistency.Hans Lycke - 2010 - Logic and Logical Philosophy 19 (1-2):31-61.
    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 part of human reasoning they are intended for.
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  • An Inconsistency-Adaptive Deontic Logic for Normative Conflicts.Mathieu Beirlaen, Christian Straßer & Joke Meheus - 2013 - Journal of Philosophical Logic 42 (2):285-315.
    We present the inconsistency-adaptive deontic logic DP r , a nonmonotonic logic for dealing with conflicts between normative statements. On the one hand, this logic does not lead to explosion in view of normative conflicts such as O A ∧ O ∼A, O A ∧ P ∼A or even O A ∧ ∼O A. On the other hand, DP r still verifies all intuitively reliable inferences valid in Standard Deontic Logic (SDL). DP r interprets a given premise set ‘as normally (...)
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