Models of possibilism and trivialism

Luis Estrada-González

Abstract


In this paper I probe the idea that neither possibilism nor trivialism could be ruled out on a purely logical basis. I use the apparatus of relational structures used in the semantics for modal logics to engineer some models of possibilism and trivialism and I discuss a philosophical stance about logic, truth values and the meaning of connectives underlying such analysis.

Keywords


Keywords: possibilism; trivialism; anti-trivialism; semantic minimalism

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References


Aristotle, The Complete Works. The Revised Oxford Translation, vol. 1, Princeton University Press, Princeton, 1984.

Aristotle, The Complete Works. The Revised Oxford Translation, vol. 2, Princeton University Press, Princeton, 1984.

Bradley Armour-Garb and JC Beall, “Further remarks on truth and contradiction”, Philosophical Quarterly 52, 207 (2002): 217–225.

Robert Goldblatt, Topoi: The Categorial Analysis of Logic, volume 98 of Studies in Logic and the Foundations of Mathematics, North Holland Publishing Co., Amsterdam, 1984. Revised edition.

Ole Thomassen Hjortland, “Proof-theoretic harmony and structural assumptions”. Typescript available at: olethhjortland.googlepages.com/Cambridge.pdf, 2007.

Lloyd Humberstone, “Variation on a trivialist argument of Paul Kabay”, Journal of Logic, Language and Information, 20, 1 (2011): 115–132.

Paul Kabay, On the Plenitude of Truth. A Defense of Trivialism, Lambert Academic Publishing, 2010.

João Marcos, “Nearly every normal modal logic is paranormal”, Logique et Analyse 48, 189–192 (2005): 279–300.

Chris Mortensen, “Anything is possible”, Erkenntnis 30, 3 (1989): 319–337.

Chris Mortensen, “It isn’t so, but could it be?”, Logique et Analyse 48, 189–192 (2005): 351–360.

Graham Priest, “To be and not to be – that is the answer. on Aristotle on the law of non-contradiction”, Philosophiegeschichte und Logische Analyse 1, 1 (1998): 91–130.

Graham Priest, “Could everything be true?”, Australasian Journal of Philosophy 78, 2 (2000): 189–195.

Graham Priest, Doubt Truth to Be a Liar, Oxford University Press, Oxford, 2006.

Graham Priest, An Introduction to Non-Classical Logic: From If to Is, Cambridge University Press, 2008.

Graham Priest, “Many-valued modal logics: A simple approach”, Review of Symbolic Logic 1, 2 (2008): 190–203.

Hilary Putnam, “There is at least one a priori truth”, Erkenntnis 13, 1 (1978): 153–170.

Nathan Salmon, “The logic of what might have been”, Philosophical Review 98, 1 (1989): 3–34.

Heinrich Wansing and Yaroslav Shramko, “Suszko’s thesis, inferential many-valuedness and the notion of logical system”, Studia Logica 88, 1(1989). See also the erratum in volume 89, p. 147, 2008.

John Woods, “Dialectical considerations on the logic of contradiction: Part I”, Logic Journal of the IGPL 13, 2 (2005): 231–260.




DOI: http://dx.doi.org/10.12775/LLP.2012.010

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