Skip to main content Skip to main navigation menu Skip to site footer
  • Register
  • Login
  • Language
    • English
    • Język Polski
  • Menu
  • Home
  • Current
  • Archives
  • Online First Articles
  • About
    • About the Journal
    • Submissions
    • Editorial Team
    • Advisory Board
    • Peer Review Process
    • Logic and Logical Philosophy Committee
    • Open Access Policy
    • Privacy Statement
    • Contact
  • Register
  • Login
  • Language:
  • English
  • Język Polski

Logic and Logical Philosophy

Normative Consistency: An Xstit Account
  • Home
  • /
  • Normative Consistency: An Xstit Account
  1. Home /
  2. Archives /
  3. Vol. 27 No. 3 (2018): September /
  4. Articles

Normative Consistency: An Xstit Account

Authors

  • Gillman Payette University of British Columbia

DOI:

https://doi.org/10.12775/LLP.2017.022

Keywords

xstit, normative consistency, action logic, norms

Abstract

In this paper we take inspiration from a couple of authors on how to think about normative (in)consistency, and then show how to conceive of normative inconsistency in an xstit framework. One view on normative inconsistency is from von Wright, and the other from Hamblin. These two accounts share a conception of normative inconsistency, but their formal frameworks are very different. We propose a way to get the best of both views on normative inconsistency by using an xstit framework, mixed with a version of Anderson’s reduction of deontic logic to alethic modal logic. We consider variations on those ideas and relate it to a work of Ruth Barcan Marcus.

Author Biography

Gillman Payette, University of British Columbia

Department of Philosophy, Honorary Postdoctoral Fellow

References

Abdou, J., and H. Keiding, Effectivity Functions in Social Choice, volume 8 of “Theory and Decision Lbrary. Series C, Game Theory, Mathematical Programmlng, and Ooperat1ons Research”, Springer, Dordrecht,1991. DOI: 10.1007/978-94-011-3448-4

Ågotnes, T., W. van der Hoek, J.A. Rodríguez-Aguilar, C. Sierra, and M. Wooldridge, “On the logic of normative systems”, in G. Boella, L.W.N. van der Torre, and H. Verhagen (eds.), Normative Multiagent Systems, volume 07122 of Dagstuhl Seminar Proceedings, Internationales Begegnungs- und Forschungszentrum für Informatik (IBFI),Schloss Dagstuhl, Germany, 2007.

Alchourrón, C.E., “Conflicts of norms and the revision of normative systems”, Law and Philosophy 10 (1991): 413–25. DOI: 10.2307/3504843

Anderson, A.R., “A reduction of deontic logic to alethic modal logic”, Mind, 67, 265 (1958): 100–103. DOI: 10.1093/mind/LXVII.265.100

Belnap, N., and M. Perloff, “The way of the agent”, Studia Logica 51, 3–4 (1992): 463–484. DOI: 10.1007/BF01028971

Braybrooke, D., B. Brown, and P. Schotch, Logic on the Track of Social Change, Clarendon Library of Logic and Philosophy, Oxford: Clarendon Press, 1995. DOI: 10.1093/acprof:oso/9780198235309.001.0001

Broersen, J., “On the reconciliation of logics of agency and logics of event types”, chapter 3, pages 41–60, in R. Trypuz (ed.), Krister Segerberg on the Logic of Actions, volume 1 of “Outstanding Contributions to Logic”, Springer, Dordrecht, 2014. DOI: 10.1007/978-94-007-7046-1_3

Broersen, J., and J.-J.C. Meyer, “Action, failure and free will choice in stit logic”, chapter 8, pages 141–168, in F. Lihoreau and M. Rebuschi (eds.), Epistemology, Context and Formalism, Synthese Library, Springer, 2013. DOI: 10.1007/978-3-319-02943-6_9

Chellas, B.F., Modal Logic: An introduction, Cambridge University Press, Cambridge, UK, 1980. DOI: 10.1017/CBO9780511621192

Czelakowski, J., Freedom and Enforcement in Action: Elements of Formal Action Theory, volume 42 of “Trends in Logic”, Springer, Dordrecht, 2015. DOI: 10.1007/978-94-017-9855-6

Grossi, D., “Desgining invisible handcuffs”, PhD thesis, University of Utrecht, September 2007, SIKS Dissertation Series no. 2007-16.

Grossi, D., “Norms as ascriptions of violations: An analysis in modal logic”, Journal of Applied Logic 9, 2 (2011): 95–112. DOI: 10.1016/j.jal.2010.03.002

Hamblin, C.L., “Quandries and the logic of rules”, Journal of Philosophical Logic 1, 1 (1972): 74–85.

Hohfeld, W.N., Fundamentals of Legal Concepts, Yale University Press, New Haven, Conn, 1920. Reprinted 1964.

Jones, A.J.I., and M. Sergot, “A formal characterization of institutionalized power”, Logic Jnl IGPL 4, 3 (1996): 427–443.

Makinson, D., “On the formal representation of rights relations”, Journal of Philosophical Logic, 15, 4 (1986): 403–425. DOI: 10.1007/BF00243391

Marcus, R.B., “Moral dilemmas and consistency”, The Journal of Philosophy 77, 3 (1980): 121–136. DOI: 10.2307/2025665

Pauly, M., “Logics for social software”, PhD thesis, University of Amsterdam, Amsterdam, 2001, Dissertation Series DS-2001-10.

Searle, J., The Construction of Social Reality, The Free Press, 1995.

Searle, J., Making the Social World, Oxford University Press, Oxford, UK, 2010. DOI: 10.1093/acprof:osobl/9780195396171.001.0001

Stolpe, A., Norms and Norm-System Dynamics, Department of Philosophy, University of Bergen, Norway, 2008.

van Hees, M., “Some general results on responsibility for outcomes”, chapter 7, pages 99–109, in A. van Deeman and A. Rusinowska (eds.), Collective Decision Making, “Theory and Decision Library. Series C”, Springer, Heidelberg, 2010. DOI: 10.1007/978-3-642-02865-6_7

von Wright, G.H., “Is there a logic of norms?”, Ratio Juris 4, 3 (1991): 265–283. DOI: 10.1111/j.1467-9337.1991.tb00099.x

Weinberger, O., “The expressive conception of norms: An impasse for the logic of norms”, Law and Philosophy 4, 2 (1985): 165–198. DOI: 10.2307/3504669

Logic and Logical Philosophy

Downloads

  • PDF

Published

2017-07-28

How to Cite

1.
PAYETTE, Gillman. Normative Consistency: An Xstit Account. Logic and Logical Philosophy. Online. 28 July 2017. Vol. 27, no. 3, pp. 375-413. [Accessed 5 July 2025]. DOI 10.12775/LLP.2017.022.
  • ISO 690
  • ACM
  • ACS
  • APA
  • ABNT
  • Chicago
  • Harvard
  • IEEE
  • MLA
  • Turabian
  • Vancouver
Download Citation
  • Endnote/Zotero/Mendeley (RIS)
  • BibTeX

Issue

Vol. 27 No. 3 (2018): September

Section

Articles

Stats

Number of views and downloads: 905
Number of citations: 0

Crossref
Scopus
Google Scholar
Europe PMC

Search

Search

Browse

  • Browse Author Index
  • Issue archive

User

User

Current Issue

  • Atom logo
  • RSS2 logo
  • RSS1 logo

Information

  • For Readers
  • For Authors
  • For Librarians

Newsletter

Subscribe Unsubscribe

Language

  • English
  • Język Polski

Tags

Search using one of provided tags:

xstit, normative consistency, action logic, norms
Up

Akademicka Platforma Czasopism

Najlepsze czasopisma naukowe i akademickie w jednym miejscu

apcz.umk.pl

Partners

  • Akademia Ignatianum w Krakowie
  • Akademickie Towarzystwo Andragogiczne
  • Fundacja Copernicus na rzecz Rozwoju Badań Naukowych
  • Instytut Historii im. Tadeusza Manteuffla Polskiej Akademii Nauk
  • Instytut Kultur Śródziemnomorskich i Orientalnych PAN
  • Instytut Tomistyczny
  • Karmelitański Instytut Duchowości w Krakowie
  • Ministerstwo Kultury i Dziedzictwa Narodowego
  • Państwowa Akademia Nauk Stosowanych w Krośnie
  • Państwowa Akademia Nauk Stosowanych we Włocławku
  • Państwowa Wyższa Szkoła Zawodowa im. Stanisława Pigonia w Krośnie
  • Polska Fundacja Przemysłu Kosmicznego
  • Polskie Towarzystwo Ekonomiczne
  • Polskie Towarzystwo Ludoznawcze
  • Towarzystwo Miłośników Torunia
  • Towarzystwo Naukowe w Toruniu
  • Uniwersytet im. Adama Mickiewicza w Poznaniu
  • Uniwersytet Komisji Edukacji Narodowej w Krakowie
  • Uniwersytet Mikołaja Kopernika
  • Uniwersytet w Białymstoku
  • Uniwersytet Warszawski
  • Wojewódzka Biblioteka Publiczna - Książnica Kopernikańska
  • Wyższe Seminarium Duchowne w Pelplinie / Wydawnictwo Diecezjalne „Bernardinum" w Pelplinie

© 2021- Nicolaus Copernicus University Accessibility statement Shop