Skip to main content
Springer Nature Link
Log in

Propositional Quantifiers in Deontic Logic

  • Conference paper
Deontic Logic and Artificial Normative Systems (DEON 2006)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4048))

  • 470 Accesses

Abstract

Several systems of monadic deontic logic are defined in terms of systems of alethic modal logic with a propositional constant. When the universal propositional quantifier is added to these systems, the propositional constant becomes definable in terms of the deontic operator. As a result, the meaning of this constant becomes clearer and it becomes easy to axiomatize the deontic fragments of the alethic modal systems.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. Åqvist, L.: Deontic logic. In: Gabbay, D., Günthner, F. (eds.) Handbook of Philosophical Logic. Extensions of Classical Logic, vol. II, pp. 605–714. Reidel, Dordrecht (1984)

    Google Scholar 

  2. Anderson, A.R.: The Formal Analysis of Normative Systems, Technical Report, New Haven (1956); Reprinted in: Rescher, N. (ed.) The Logic of Decision and Action, pp. 147–213. University of Pittsburgh Press, Pittsburgh (1967)

    Google Scholar 

  3. Anderson, A.R.: A reduction of deontic logic to alethic modal logic. Mind 67, 100–103 (1958)

    Article  Google Scholar 

  4. Anderson, A.R.: Some nasty problems in the formal logic of ethics. Noûs 1, 345–360 (1967)

    Article  Google Scholar 

  5. Anderson, A.R.: A new square of opposition: Eubouliatic logic. Akten des XIV. Internationalen Kongresses für Philosophie 2, 271–284 (1968)

    Google Scholar 

  6. Anderson, A.R., Belnap Jr., N.D.: Entailment: The Logic of Relevance and Necessity, vol. 1. Princeton University Press, Princeton (1975)

    MATH  Google Scholar 

  7. Anderson, A.R., Belnap Jr., N.D., Dunn, J.M.: Entailment: The Logic of Relevance and Necessity, vol. 2. Princeton University Press, Princeton (1992)

    MATH  Google Scholar 

  8. Goble, L.: The Andersonian reduction and relevant deontic logic. In: Brown, B., Woods, J. (eds.) New Studies in Exact Philosophy: Logic, Mathematics and Science—Proceedings of the 1999 Conference of the Society of Exact Philosophy, pp. 213–246. Hermes Science Publications, Paris (2001)

    Google Scholar 

  9. Kanger, S.: New Foundations for Ethical Theory, privately distributed pamphlet (1957); Reprinted in: Hilpinen, R. (ed.) Deontic Logic: Introductory and Systematic Readings, pp. 36–58. Reidel, Dordrecht (1971)

    Google Scholar 

  10. Lokhorst, G.J.C.: 200+, The Andersonian reduction and Mally’s deontic logic. Notre Dame Journal of Formal Logic (forthcoming)

    Google Scholar 

  11. McNamara, P.: Deontic logic. In: Zalta, E.N. (ed.) The Stanford Encyclopedia of Philosophy (Spring 2006 Edition) (2006), http://plato.stanford.edu/archives/spr2006/entries/logic-deontic

  12. Mares, E.D.: Andersonian deontic logic. Theoria 58, 3–20 (1992)

    MATH  MathSciNet  Google Scholar 

  13. Smiley, T.: Relative necessity. Journal of Symbolic Logic 28, 113–134 (1963)

    Article  MathSciNet  Google Scholar 

  14. Van Fraassen, B.C.: The logic of conditional obligation. Journal of Philosophical Logic 1, 417–438 (1972)

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Section of Philosophy, Faculty of Technology, Policy and Management, Delft University of Technology,  

    Gert-Jan C. Lokhorst

Authors
  1. Gert-Jan C. Lokhorst
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Department of Philosophie, Willamette University, 97301, Salem, OR, USA

    Lou Goble

  2. Utrecht University, P.O. Box 80.089, 3508, Utrecht, TB, The Netherlands

    John-Jules Ch. Meyer

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Lokhorst, GJ.C. (2006). Propositional Quantifiers in Deontic Logic. In: Goble, L., Meyer, JJ.C. (eds) Deontic Logic and Artificial Normative Systems. DEON 2006. Lecture Notes in Computer Science(), vol 4048. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11786849_17

Download citation

  • DOI: https://doi.org/10.1007/11786849_17

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-35842-8

  • Online ISBN: 978-3-540-35843-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics