David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
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Journal of Philosophical Logic 19 (1):75 - 93 (1990)
A new possible world semantics for deontic logic is proposed. Its intuitive basis is that prohibitive predicates (such as "wrong" and "prohibited") have the property of negativity, i.e. that what is worse than something wrong is itself wrong. The logic of prohibitive predicates is built on this property and on preference logic. Prescriptive predicates are defined in terms of prohibitive predicates, according to the wellknown formula "ought" = "wrong that not". In this preference-based deontic logic (PDL), those theorems that give rise to the paradoxes of standard deontic logic (SDL) are not obtained. (E.g., O(p & q) → Op & Oq and Op → O(p v q)) are theorems of SDL but not of PDL.) The more plausible theorems of SDL, however, can be derived in PDL.
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Henry Prakken & Marek Sergot (1996). Contrary-to-Duty Obligations. Studia Logica 57 (1):91 - 115.
Sven Ove Hansson (1995). Changes in Preference. Theory and Decision 38 (1):1-28.
Lou Goble (2009). Normative Conflicts and the Logic of 'Ought'. Noûs 43 (3):450-489.
Sven Ove Hansson (1992). Similarity Semantics and Minimal Changes of Belief. Erkenntnis 37 (3):401-429.
Michael Morreau (1996). Prima Facie and Seeming Duties. Studia Logica 57 (1):47 - 71.
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