Connective Meaning in Beall and Restall’s Logical Pluralism

  • Teresa Kouri Kissel
Part of the Palgrave Innovations in Philosophy book series


Jc Beall and Greg Restall (Logical Pluralism. Clarendon Press, Oxford, 2006) propose a logical pluralism where the corresponding connectives in each logic mean the same thing. They contrast this with a Carnapian pluralism, where different logics have corresponding connectives which do not share meanings. I will show that due to the manner in which connectives are given their meaning by Beall and Restall, relevant negation and intuitionistic negation cannot mean the same thing. Thus, their pluralism is at least partly Carnapian, as not all the logics involved can have their corresponding connectives share meanings.


Logical pluralism Beall and Restall pluralism Carnapian pluralism Logic Logical connectives Meaning Negation Intuitionistic negation Relevant negation Truth condition Maximal truth condition Minimal truth condition Jc Beall Greg Restall 


  1. Barwise, J., and J. Perry. 1983. Situations and Attitudes. Vol. 78. Cambridge, MA: MIT Press.Google Scholar
  2. Beall, J.C., and Greg Restall. 2001. Defending Logical Pluralism. In Logical Consequence: Rival Approaches. Proceedings of the 1999 Conference of the Society of Exact Philosophy, ed. John Woods and Bryson Brown, 1–22. Stanmore: Hermes.Google Scholar
  3. ———. 2006. Logical Pluralism. Oxford: Clarendon Press.Google Scholar
  4. Bueno, O., and S.A. Shalkowski. 2009. Modalism and Logical Pluralism. Mind 118 (470): 295–321.CrossRefGoogle Scholar
  5. Dunn, J.M. 1993. Star and perp: Two treatments of negation. Philosophical Perspectives 7 (May): 331–357.CrossRefGoogle Scholar
  6. Hjortland, O.T. 2013. Logical Pluralism, Meaning-Variance and Verbal Disputes. Australasian Journal of Philosophy 91: 355–373.CrossRefGoogle Scholar
  7. Keefe, R. 2013. What Logical Pluralism Cannot Be. Synthese 191 (7): 1375–1390.CrossRefGoogle Scholar
  8. Kouri, T. 2018. A New Interpretation of Carnap’s Logical Pluralism. Topoi: 1–10. Online first.Google Scholar
  9. Kouri Kissel, T. 2018. Logical Pluralism from a Pragmatic Perspective. Australasian Journal of Philosophy: 96 (3): 578–591.CrossRefGoogle Scholar
  10. Read, S. 2006. Review of Logical Pluralism Notre Dame Philosophical Reviews.
  11. Restall, G. 1999. Negation in Relevant Logics (How I Stopped Worrying and Learned to Love the Routley Star). In What Is Negation?, ed. H. Wansing and D. Gabbay, Volume 13 of Applied Logic Series, 53–76. Dordrecht: Kluwer Academic Publishers.Google Scholar
  12. ———. 2002. Carnap’s Tolerance, Language Change and Logical Pluralism. Journal of Philosophy 99: 426–443.CrossRefGoogle Scholar
  13. Shapiro, S. 2014. Varieties of Logic. Oxford: OUP.CrossRefGoogle Scholar
  14. Thomas, M. 2015. A Generalization of the Routley-Meyer Semantic Framework. Journal of Philosophical Logic 44 (4): 411–427.CrossRefGoogle Scholar

Copyright information

© The Author(s) 2018

Authors and Affiliations

  • Teresa Kouri Kissel
    • 1
  1. 1.Department of Philosophy and Religious StudiesOld Dominion UniversityNorfolkUSA

Personalised recommendations