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# An inconsistency-adaptive deontic logic for normative conflicts

### Tijdschriftbijdrage - Tijdschriftartikel

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 a aEuro parts per thousand O similar to A, O A a aEuro parts per thousand P similar to A or even O A a aEuro parts per thousand a1/4O 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) .
Tijdschrift: Journal of Philosophical Logic
ISSN: 0022-3611
Issue: 2
Volume: 42
Pagina's: 285 - 315
Jaar van publicatie:2013