The revenger's paradox |
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Authors: | Sven Ove Hansson |
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Institution: | (1) Department of Philosophy, Uppsala University, Villavägen 5, S-752 Uppsala, Sweden |
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Abstract: | Conclusion Unlike the more commonly discussed paradoxes of deontic logic, the revenger's paradox is present not only in strong logics such as SDL, but also in much weaker logics that have been constructed to avoid the paradoxes of SDL. The paradox shows that any deontic logic with intersubstitutivity makes counter-intuitive truth assignments to some deontic expressions.However, the revenger's paradox does not pose as serious a problem as does Ross's paradox to the logics in which it occurs. A deontic logic in which Ross's paradox does not arise is preferable to one in which it does arise, even if the latter is subject to the revenger's paradox. |
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