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Dyadic Deontic Logic and Contrary-to-Duty Obligations

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Defeasible Deontic Logic

Part of the book series: Synthese Library ((SYLI,volume 263))

Abstract

One of the main issues in the discussion on standard deontic logic (SDL) is the representation of contrary-to-duty (CTD) obligations. A well-known example is Forrester’s (1984) paradox of the gentle murderer: it is forbidden to kill, but if one kills, one ought to kill gently.

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References

  • Alchourrón, C. E. (1993). Philosophical foundations of deontic logic and the logic of defeasible conditionals. In J.-J. Ch. Meyer and R. J. Wieringa (eds.), Deontic logic in Computer Science: Normative System Specification. John Wiley & Sons, Chichester, pages 43–84.

    Google Scholar 

  • Aqvist, L. and Hoepelman, J. (1981). Some theorems about a “tree” system of deontic tense logic. In R. Hilpinen (ed.): New Studies in Deontic Logic. Reidel, Dordrecht, pages 187–221

    Chapter  Google Scholar 

  • Brown, C.E. (1996). Doing as we ought: towards a logic of simply dischargeable obligations. In M. A. Brown and J. Carmo (eds.), Deontic Logic, Agency and Normative Systems. Workshops in Computing, Springer, London, pages 50–65.

    Google Scholar 

  • Carmo, C.E. and Jones, A. J. I. (1997). A new approach to contrary-to-duty obligations. This volume.

    Google Scholar 

  • Castaneda, H.-N. (1981). The paradoxes of deontic logic: the solution to all of them in one fell swoop. In R. Hilpinen (ed.), New Studies in Deontic Logic. Reidel, Dordrecht, pages 37–85.

    Chapter  Google Scholar 

  • Chellas, B. (1980). Modal logic: An introduction. Cambridge University Press.

    Google Scholar 

  • Chisholm, R. M. (1963). Contrary-to-duty imperatives and deontic logic. Analysis 24: 33–36.

    Google Scholar 

  • van Eck, J. A. (1982). A system of temporally relative modal and deontic predicate logic and its philosophical applications. Logique it Analyse 100: 249–381.

    Google Scholar 

  • Forrester, J. W. (1984). Gentle murder, or the adverbial Samaritan. Journal of Philosophy 81 (4): 193–197.

    Article  Google Scholar 

  • Hansson, B. (1969). An analysis of some deontic logics. Nôus 3: 373–398.

    Google Scholar 

  • Reprinted in R. Hilpinen (ed.): Deontic Logic: Introductory and Systematic Readings. Reidel, Dordrecht, pages 121–147, (1971).

    Google Scholar 

  • Hilpinen, R. (1993). Actions in deontic logic. In J.-J. Ch. Meyer and R. J. Wieringa (eds.), Deontic Logic in Computer Science: Normative System Specification. John Wiley & Sons, Chichester, pages 85–100.

    Google Scholar 

  • Hintikka, J. (1971). Some main problems of deontic logic. In R. Hilpinen (ed.), Deontic Logic: Introductory and Systematic Readings. Reidel, Dordrecht, pages 59–104.

    Google Scholar 

  • Horty, J. E (1994). Moral dilemmas and non-monotonic logic. Journal of Philosophical Logic 23: 35–65.

    Article  Google Scholar 

  • Jones, A. J. I. and Pörn, I. (1985). Ideality, sub-ideality and deontic logic. Synthese 65: 275–290.

    Article  Google Scholar 

  • Lewis, D. (1974). Semantic analyses for dyadic deontic logic. In S. Stendlund (ed.), Logical Theory and Semantic Analysis. Reidel, Dordrecht, pages 1–14.

    Chapter  Google Scholar 

  • Loewer, B. and Belzer, M. (1983). Dyadic deontic detachment. Synthese 54: 295–318.

    Article  Google Scholar 

  • McCarty, L. T. (1994). Defeasible deontic reasoning. Fundamenta Informaticae 21: 125–148.

    Google Scholar 

  • Makinson, D. (1993). Five faces of minimality. Studia Logica 52 (3): 339–379.

    Article  Google Scholar 

  • Meyer, J.-J. Ch. (1988). A different approach to deontic logic: Deontic logic viewed as a variant of dynamic logic. Notre Dame Journal of Formal Logic 29 (1): 109–136.

    Article  Google Scholar 

  • Morreau, M. (1994). Prima facie and Seeming Duties. In A. J. I. Jones and M. J. Sergot (eds.), Proc. Second International Workshop on Deontic Logic and Computer Science, Oslo, Tano Publishers, Norway, pages 221–251.

    Google Scholar 

  • Prakken, H. (1996). Two approaches to the formalisation of defeasible deontic reasoning. Studia Logica 57 (1): 73–90.

    Article  Google Scholar 

  • Prakken, H. and Sergot, M. J. (1994). Contrary-to-duty imperatives, defeasibility and violability. In A. J. I. Jones and M. J. Sergot (eds.): Proc. Second International Workshop on Deontic Logic in Computer Science, Oslo, Tano Publishers, Norway, pages 296–318.

    Google Scholar 

  • Prakken, H. and Sergot, M. J. (1996). Contrary-to-duty obligations. Stadia Logica 57 (1): 91–115.

    Article  Google Scholar 

  • Ross, W. D. (1930). The Right and the Good. Oxford University Press.

    Google Scholar 

  • Ryan, M. D. (1992). Representing defaults as sentences with reduced priority. Proc. Third International Conference on Principles of Knowledge Representation and Reasoning, Morgan Kaufman.

    Google Scholar 

  • Ryan, M. D. and Schobbens, P.-Y. (1993). The lexicographic combination of preferences. Working notes from the the Dutch/German workshop on non-monotonic reasoning techniques and their applications, Aachen.

    Google Scholar 

  • Ryu, Y.-H. and Lee, R. M. (1997). Deontic logic viewed as defeasible reasoning. This volume.

    Google Scholar 

  • Tan, Y.-H. and van der Torre, L. W. N. (1994). Multi preference semantics for a defeasible deontic logic. In H. Prakken, A. J. Muntjewerff, A. Soeteman (eds.),Legal knowledge based systems. The relation with legal theory, Koninklijke Vermande BV, Lelystad, pages 115–126.

    Google Scholar 

  • Tan, Y.-H. and van der Tone, L. W. N. (1996). How to combine ordering and minimizing in a deontic logic based on preferences. In M. A. Brown and J. Carmo (eds.), Deontic Logic, Agency and Normative Systems. Workshops in Computing, Springer, London, pages 216–232.

    Google Scholar 

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Prakken, H., Sergot, M. (1997). Dyadic Deontic Logic and Contrary-to-Duty Obligations. In: Nute, D. (eds) Defeasible Deontic Logic. Synthese Library, vol 263. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8851-5_10

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  • DOI: https://doi.org/10.1007/978-94-015-8851-5_10

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4874-5

  • Online ISBN: 978-94-015-8851-5

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