Plurivalent Logics

Part of the Synthese Library book series (SYLI, volume 387)


In this paper I describe a construction which can be applied to any many-valued logic to give a plurivalent logic, that is, a logic in which formulas may take more than one value. Various results are established concerning the relationship between the many-valued logic and the corresponding plurivalent logic; and a detailed analysis is provided of the relationship between the two for a small family of many-valued logics related to the logic of First Degree Entailment.


Logical Pluralism Semantic Plurality Positive Pluralism General Plurivalent Propositional Parameter 
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  1. Czelakowski, J. (2001). Protoalgebraic logics. Dordrecht: Kluwer Academic Publishers.CrossRefGoogle Scholar
  2. Haack, S. (1996). Deviant logic, fuzzy logic: Beyond the formalism. Chicago: University of Chicago Press.Google Scholar
  3. Oller, C. (1999). Paraconsistency and analyticity. Logic and Logical Philosophy, 7, 91–99.CrossRefGoogle Scholar
  4. Priest, G. (1984). Hypercontradictions. Logique et Analyse, 107, 237–243.Google Scholar
  5. Priest, G. (1995). Multiple denotation, ambiguity, and the strange case of the missing amoeba. Logique et Analyse, 38, 361–373.Google Scholar
  6. Priest, G. (2000). Vasil’év and imaginary logic’. History and Philosophy of Logic, 21, 135–146.CrossRefGoogle Scholar
  7. Priest, G. (2005) (2nd ed. 2016). Towards non-being. Oxford: Oxford University Press.Google Scholar
  8. Priest, G. (2008a). Introduction to non-classical logics: From if to is. Cambridge: Cambridge University Press.CrossRefGoogle Scholar
  9. Priest, G. (2008b). Jaina logic: A contemporary perspective. History and Philosophy of Logic, 29, 263–278.CrossRefGoogle Scholar
  10. Priest, G. (2010). The logic of the Catuṣkoṭi. Comparative Philosophy, 1, 32–54.Google Scholar
  11. Priest, G. (2015). None of the above: The logic of the Catuṣkoṭi, ch. 24. In J. Y. Beziau, M. Chakraborty, & S Ditta (Eds.), New directions in paraconsistent logic. New York: Springer.Google Scholar
  12. Priest, G. (2014). Speaking of the ineffable. In J.-L. Liu & D. Berger (Eds.), Nothingness in Asian philosophy. London: Routledge.Google Scholar
  13. Shramko, Y., & Wansing, H. (2011). Truth and falsity: An inquiry into generalized truth values. Dordrecht: Springer.Google Scholar

Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Department of Philosophy, The Graduate CenterCity University of New YorkNew YorkUSA
  2. 2.Department of PhilosophyThe University of MelbourneMelbourneAustralia

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