Abstract
In "Doing Well Enough: Toward a Logic for Common Sense Morality", Paul McNamara sets out a semantics for a deontic logic which contains the operator ‘It is supererogatory that’. As well as having a binary accessibility relation on worlds, that semantics contains a relative ordering relation, ≤. For worlds u, v and w, we say that u ≤w v when v is at least as good as u according to the standards of w. In this paper we axiomatize logics complete over three versions of the semantics. We call the strongest of these logics ‘DWE’ for ‘Doing Well Enough’.
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References
Brian Chellas, 1980, Modal Logic: An Introduction, Cambridge: Cambridge University Press.
David K. Lewis, 1973, Counterfactuals, Cambridge, Mass: Harvard.
Paul McNamara, 1990, The Deontic Quaddecagon, Amherst, Mass: University of Massachusetts Dissertation.
Paul McNamara, Doing Well Enough: Toward a Logic for Common Sense Morality, Studia Logica, forthcoming.
Paul McNamara, 1994, Must I do What I Ought? Typescript given at the conference of the Society for Exact Philosophy, University of Texas, Austin.
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Mares, E.D., McNamara, P. Supererogation in Deontic Logic: Metatheory for DWE and Some Close Neighbours. Studia Logica 59, 397–415 (1997). https://doi.org/10.1023/A:1005040513277
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DOI: https://doi.org/10.1023/A:1005040513277