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An andersonian deontic logic with contextualized sanctions

Christian Strasser (UGent) and Mathieu Beirlaen (UGent)
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Organization
Abstract
We present a refinement of Anderson's reduction of deontic logic to modal logic with only alethic modalities. The refined proposal contextualizes the Andersonian sanction constant s by replacing it with a unary sanction operator S that is dependent on the concrete normative requirement that is violated. A formula S B is then for instance interpreted as ldquo B causes a sanctionrdquo or as ldquo B provides a reason for (the applicability of) a sanctionrdquo. Due to its modified sanction operator, the resulting logic DSL invalidates some instances of the inheritance principle. This gives rise to new interesting features. For instance, DSL consistently allows for the presence of conflicting obligations. Moreover, it provides novel insights in various central `paradoxes' in deontic logic such as the Ross paradox, the paradox of the good Samaritan, and Forrester's `gentle murderer' paradox.

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Please use this url to cite or link to this publication:

Chicago
Strasser, Christian, and Mathieu Beirlaen. 2012. “An Andersonian Deontic Logic with Contextualized Sanctions.” In Deontic Logic in Computer Science. Proceedings 11th International Conference, DEON 2012, ed. Thomas Agotnes, Jan Broersen, and Dag Elgesem, 7393:151–169. Berlin, Germany: Springer.
APA
Strasser, C., & Beirlaen, M. (2012). An andersonian deontic logic with contextualized sanctions. In T. Agotnes, J. Broersen, & D. Elgesem (Eds.), Deontic Logic in Computer Science. Proceedings 11th International Conference, DEON 2012 (Vol. 7393, pp. 151–169). Presented at the 11th International Conference on Deontic Logic in Computer Science (DEON - 2012), Berlin, Germany: Springer.
Vancouver
1.
Strasser C, Beirlaen M. An andersonian deontic logic with contextualized sanctions. In: Agotnes T, Broersen J, Elgesem D, editors. Deontic Logic in Computer Science. Proceedings 11th International Conference, DEON 2012. Berlin, Germany: Springer; 2012. p. 151–69.
MLA
Strasser, Christian, and Mathieu Beirlaen. “An Andersonian Deontic Logic with Contextualized Sanctions.” Deontic Logic in Computer Science. Proceedings 11th International Conference, DEON 2012. Ed. Thomas Agotnes, Jan Broersen, & Dag Elgesem. Vol. 7393. Berlin, Germany: Springer, 2012. 151–169. Print.
@inproceedings{2973606,
  abstract     = {We present a refinement of Anderson's reduction of deontic logic to modal logic with only alethic modalities. The refined proposal contextualizes the Andersonian sanction constant s by replacing it with a unary sanction operator S that is dependent on the concrete normative requirement that is violated. A formula S B is then for instance interpreted as ldquo B causes a sanctionrdquo or as ldquo B provides a reason for (the applicability of) a sanctionrdquo. Due to its modified sanction operator, the resulting logic DSL invalidates some instances of the inheritance principle. This gives rise to new interesting features. For instance, DSL consistently allows for the presence of conflicting obligations. Moreover, it provides novel insights in various central `paradoxes' in deontic logic such as the Ross paradox, the paradox of the good Samaritan, and Forrester's `gentle murderer' paradox.},
  author       = {Strasser, Christian and Beirlaen, Mathieu},
  booktitle    = {Deontic Logic in Computer Science. Proceedings 11th International Conference, DEON 2012},
  editor       = {Agotnes, Thomas and Broersen, Jan and Elgesem, Dag},
  isbn         = {9783642315695},
  language     = {eng},
  location     = {Bergen, Norway},
  pages        = {151--169},
  publisher    = {Springer},
  title        = {An andersonian deontic logic with contextualized sanctions},
  volume       = {7393},
  year         = {2012},
}

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