Studia Logica

, Volume 89, Issue 3, pp 427–435 | Cite as

Dynamic Deontic Logic and its Paradoxes

  • Albert J. J. AnglbergerEmail author


In Meyer’s promising account [7] deontic logic is reduced to a dynamic logic. Meyer claims that with his account “we get rid of most (if not all) of the nasty paradoxes that have plagued traditional deontic logic.” But as was shown by van der Meyden in [4], Meyer’s logic also contains a paradoxical formula. In this paper we will show that another paradox can be proven, one which also effects Meyer’s “solution” to contrary to duty obligations and his logic in general.


dynamic deontic logic PDeL Chisholm’s paradox contrary to duty obligations 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Broersen, J., Modal Action Logics for Reasoning about Reactive Systems, Ph.D. thesis, University of Amsterdam, 2003.Google Scholar
  2. 2.
    Chisholm R.M.: ‘Contrary-to-Duty Imperatives and Deontic Logic’. Analysis 24, 33–36 (1963)CrossRefGoogle Scholar
  3. 3.
    Dignum, F.P.M., J.-J. Ch. Meyer, and R. J. Wieringa, ‘The Paradoxes of Deontic Logic Revisited: A Computer Science Perspective – Or: Should computer scientists be bothered by the concerns of philosophers?’, Tech. rep., Utrecht University, Utrecht, 1994.Google Scholar
  4. 4.
    Meyden, R. van der, ‘The Dynamic Logic of Permission’, in Proc. 5th IEEE Conf. on Logic in Computer Science, Philadelphia, 1990, pp. 72–78.Google Scholar
  5. 5.
    Meyden R. van der: ‘The Dynamic Logic of Permission’. Journal of Logic and Computation 6(3), 465–479 (1996)CrossRefGoogle Scholar
  6. 6.
    Meyer, J.-J.Ch., ‘A simple solution to the “deepest” paradox in deontic logic’, Logique et Analyse 117-118 (1987), 81–90.Google Scholar
  7. 7.
    Meyer J.-J.Ch.: ‘A different approach to Deontic Logic: Deontic Logic Viewed as a Variant of Dynamic Logic’. Notre Dame Journal of Formal Logic 29, 109–136 (1988)CrossRefGoogle Scholar
  8. 8.
    Meyer J.-J.Ch.: ‘Deontic Logic: A Concise Overview’. In: Meyer, J.-J.Ch., Wieringa, R.J.(eds) Deontic Logic in Computer Science, pp. 3–16. John Wiley and Sons Ltd, Chichester (1993)Google Scholar
  9. 9.
    Wright G.H. von: ‘Deontic Logic’. Mind 60, 1–15 (1951)CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media B.V. 2008

Authors and Affiliations

  1. 1.Philosophy of Science DepartmentInternational Research CenterSalzburgAustria

Personalised recommendations