Prohairetic Deontic Logic (PDL)

  • Authors:
  • Leendert W. N. van der Torre;Yao-Hua Tan

  • Affiliations:
  • -;-

  • Venue:
  • JELIA '98 Proceedings of the European Workshop on Logics in Artificial Intelligence
  • Year:
  • 1998

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Abstract

In this paper we introduce Prohairetic Deontic Logic (PDL), a preference-based dyadic deontic logic. An obligation 'α should be (done) if β is (done)' is true if (1) no ¬αλβ state is as preferable as an αλβ state and (2) the preferred β states are α states. We show that the different elements of this mixed representation solve different problems of deontic logic. The first part of the definition is used to formalize contrary-toduty reasoning, that for example occurs in Chisholm's and Forrester's notorious deontic paradoxes. The second part is used to make dilemmas inconsistent. PDL shares the intuitive semantics of preference-based deontic logics without introducing additional semantic machinery such as bi-ordering semantics or ceteris paribus preferences.