Abstract
The paper discusses the views held by Sergot and Prakken [22] on the import, or non-import, of the identity principle for conditional obligation within a preference-based semantics. This is the principle \(\bigcirc (A/A)\). The key point is to understand and appreciate what unconditional obligations the principle allows us to detach, and from what premises. It is argued that it does not license the move from A to \(\bigcirc A\), which would amount to committing a breach of Hume’s law: no ‘ought’ from ‘is’. It is also shown that the most that is licensed is the move from □A to \(\bigcirc A\) − a move that appears to be harmless, and (above all) compatible with the idea that obligations are essentially violable entities. An existing pragmatic theory can be used to explain it. Objections based on the definition of the unconditional obligation operator are countered.
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References
Alchourrón, C.: Philosophical foundations of deontic logic and the logic of defeasible conditionals. In: Meyer, J.J., Wieringa, R.J. (eds.) Deontic Logic in Computer Science, pp. 43–84. Wiley and Sons, New York (1993)
Alchourrón, C.: Defeasible logic: Demarcation and affinities. In: Crosso, G., Fariñas del Cerro, L., Herzig, A. (eds.) Conditionals and Artificial Intelligence, pp. 67–102. Clarendon Press, Oxford (1994)
Åqvist, L.: Prima facie obligations in deontic logic: A Chisholmian analysis based on normative preference structures. In: Fehige, Wessels [8], pp. 135–155
Boghossian, P.: Knowledge of logic. In: Boghossian, P., Peacocke, C. (eds.) New Essays on the A Priori, pp. 229–254. Clarendon Press, Oxford (2000)
Bombosch, U.: The meaning of ‘ought, prima facie’ and decision situations: A reply to Aqvist. In: Fehige, Wessels [8], pp. 152–162
Carmo, J., Jones, A.J.I.: Deontic logic and contrary-to-duties. In: Gabbay, D.M., Guenthner, F. (eds.) Handbook of Philosophical Logic, 2nd edn., vol. 8, pp. 265–344. Kluwer Academic Publishers, Dordrecht (2002)
Van Eck, J.: A system of temporally relative modal and deontic predicate logic, and its philosophical applications. Logique & Analyse 25, 249–290 (1982)
Fehige, C., Wessels, U. (eds.): Preferences. De Gruyter, Berlin (1998)
Fine, K.: Propositional quantifiers in modal logic. Theoria 36, 336–346 (1970)
Gazdar, G.: Pragmatics: Implicature, Presupposition, and Logical Form. Academic, New York (1979)
Goble, L.: Prima facie norms, normative conflicts and dilemmas. In: Gabbay, D., Horty, J., van der Meyden, R., van der Torre, L. (eds.) Handbook of Deontic Logic. College Publications (forthcoming)
Grice, P.H.: Logic and conversation. In: Cole, P., Morgan, J.L. (eds.) Syntax and Semantics: Speech Acts, vol. 3, pp. 41–58. Academic Press, New York (1975)
Hansson, B.: An analysis of some deontic logics. Noûs 3, 373–398 (1969); Reprinted in Hilpinen, R.: Deontic Logic: Introductory and Systematic Readings, pp. 121–147. D. Reidel, Dordrecht (1971)
Hume, D.: A Treatise of Human Nature. Clarendon Press, Oxford (2000); Norton, D.F., Norton, M.J. (eds.)
Levinson, S.C.: Pragmatics. Cambridge University Press, Cambridge (1983)
Lewis, D.K.: Counterfactuals. Blackwell, Oxford (1973)
Makinson, D.: Five faces of minimality. Studia Logica 52, 339–379 (1993)
Makinson, D.: On a fundamental problem in deontic logic. In: McNamara, P., Prakken, H. (eds.) Norms, Logics and Information Systems, pp. 29–54. IOS Press, Amsterdam (1999)
Meredith, C.A., Prior, A.N.: Modal logic with functorial variables and a contingent constant. Notre Dame J. Formal Logic 6(2), 99–109 (1965)
Parent, X.: Cumulativity, identity and time in deontic logic. Fundam. Inf. 48, 237–252 (2001)
Prakken, H., Sergot, M.: Contrary-to-duty obligations. Studia Logica 57, 91–115 (1996)
Prakken, H., Sergot, M.: Dyadic deontic logic and contrary-to-duty obligation. In: Nute, D. (ed.) Defeasible Deontic Logic, pp. 223–262. Kluwer Academic Publishers, Dordrecht (1997)
Sergot, M.J.: Action and Agency in Norm-Governed Multi-agent Systems. In: Artikis, A., O’Hare, G.M.P., Stathis, K., Vouros, G.A. (eds.) ESAW 2007. LNCS (LNAI), vol. 4995, pp. 1–54. Springer, Heidelberg (2008)
Shoham, Y.: Nonmonotonic reasoning and causation. Cognitive Science 14, 213–252 (1990)
Sinnott-Armstrong, W.: ‘Ought’ conversationally implies ‘can’. Philosophical Review 98, 249–261 (1984)
Spohn, W.: An analysis of Hansson’s dyadic deontic logic. Journal of Philosophical Logic 4(2), 237–252 (1975)
von Wright, G.H.: An Essay in Deontic Logic and the General Theory of Action. North Holland, Amsterdam (1968)
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Parent, X. (2012). Why Be Afraid of Identity?. In: Artikis, A., Craven, R., Kesim Çiçekli, N., Sadighi, B., Stathis, K. (eds) Logic Programs, Norms and Action. Lecture Notes in Computer Science(), vol 7360. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29414-3_16
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DOI: https://doi.org/10.1007/978-3-642-29414-3_16
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