Skip to main content

Deontic Relevant Logic: A Strong Relevant Logic Approach to Removing Paradoxes from Deontic Logic

  • Conference paper
  • First Online:
PRICAI 2002: Trends in Artificial Intelligence (PRICAI 2002)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 2417))

Included in the following conference series:

Abstract

In this paper, we propose a strong relevant logic approach to solve the problems of deontic logic paradoxes. Since the paradoxes in deontic logic have the same form as the paradoxes in traditional (weak) relevant logic, which have been rejected by our strong relevant logic, we show that a new family of logic, named deontic relevant logics, can be established by introducing deontic operators and relative axioms and inference rules into strong relevant logics such that those deontic logic paradoxes are rejected by deontic relevant logics.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. G.H. von Wright, “Deontic Logic,” Mind, Vol.60, pp.1–15, 1951.

    Article  Google Scholar 

  2. G.H. von Wright, “An Essay in Deontic Logic and the General Theory of Action,” Acta Philosophica Fennica, Vol.21, 1968.

    Google Scholar 

  3. G.H. von Wright, “On the Logic of Norms and Actions,” in Risto Hilpinen (ed.), “New studies in Deontic Logic: Norms, Actions, and the Foundations of Ethics,” pp.3–35, D. Reidel, 1981.

    Google Scholar 

  4. L. Åqvist, “Introduction to Deontic Logic and the Theory of Normative Systems,” Bibliopolis, 1987.

    Google Scholar 

  5. L. Åqvist, “Deontic Logic, ” in D. Gabbay and F. Guenthner (eds.), “Handbook of Philosophical Logic,” Vol.2, pp.605–714, Kluwer Academic Publishers, 1984.

    Google Scholar 

  6. H. Castañeda, “The Paradoxes of Deontic Logic: The Simplest Solution to All of Them in One Fell Swoop,” in Risto Hilpinen (ed.), “New studies in Deontic Logic: Norms, Actions, and the Foundations of Ethics,” pp.37–85, D. Reidel, 1981.

    Google Scholar 

  7. W. Stelzner, “Relevant Deontic Logic,” Journal of Philosophical Logic, Vol.21, pp.193–216, 1992.

    Article  MATH  MathSciNet  Google Scholar 

  8. A.R. Anderson and N.D. Belnap Jr., “Entailment: The Logic of Relevance and Necessity,” Vol.1, Princeton University Press, 1975.

    Google Scholar 

  9. A.R. Anderson, N.D. Belnap Jr., and J.M. Dunn, “Entailment: The Logic of Relevance and Necessity,” Vol.2, Princeton University Press, 1992.

    Google Scholar 

  10. J.M. Dunn, “Relevance Logic and Entailment,” in D. Gabbay and F. Guenthner (eds.), “Handbook of Philosophical Logic,” Vol.3, pp.117–224, D.Reidel, 1986.

    Google Scholar 

  11. S. Read, “Relevant Logic: A Philosophical Examination of Inference,” Basil Black-well, 1988.

    Google Scholar 

  12. J. Cheng, “Logical Tool of Knowledge Engineering: Using Entailment Logic rather than Mathematical Logic,” Proc. ACM 19th Annual Computer Science Conference, pp.218–238, 1991.

    Google Scholar 

  13. J. Cheng, “ Rc-A Relevant Logic for Conditional Relation Representation and Reasoning,” Proc. 1st Singapore International Conference on Intelligent Systems, pp.171–176, 1992.

    Google Scholar 

  14. J. Cheng, “The Fundamental Role of Entailment in Knowledge Representation and Reasoning,” Journal of Computing and Information, Vol.2, No.1, pp.853–873, 1996.

    Google Scholar 

  15. T. Tagawa, J. Ohori, J. Cheng, and K. Ushijima, “On the Strong Relevance Principle in Relevant Logics,” Journal of Japanese Society for Artificial Intelligence, Vol.13, No. 3, pp. 387–394, 1998 (in Japanese).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2002 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Tagawa, T., Cheng, J. (2002). Deontic Relevant Logic: A Strong Relevant Logic Approach to Removing Paradoxes from Deontic Logic. In: Ishizuka, M., Sattar, A. (eds) PRICAI 2002: Trends in Artificial Intelligence. PRICAI 2002. Lecture Notes in Computer Science(), vol 2417. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45683-X_7

Download citation

  • DOI: https://doi.org/10.1007/3-540-45683-X_7

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-44038-3

  • Online ISBN: 978-3-540-45683-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics