An Inconsistency-Adaptive Deontic Logic for Normative Conflicts

Journal of Philosophical Logic 42 (2):285-315 (2013)
Abstract
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 as possible’ with respect to SDL. Whereas some SDL-rules are verified unconditionally by DP r , others are verified conditionally. The latter are applicable unless they rely on formulas that turn out to behave inconsistently in view of the premises. This dynamic process is mirrored by the proof theory of DP r
Keywords Deontic logic  Normative conflicts  Paraconsistent logic  Inconsistency-tolerance  Nonmonotonic logic  Adaptive logic
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