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2012 | 21 | 2 | 175-205

Article title

Models of Possibilism and Trivialism

Title variants

Languages of publication

EN

Abstracts

EN
In this paper I probe the idea that neither possibilism nor triv- ialism 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.

Year

Volume

21

Issue

2

Pages

175-205

Physical description

Dates

published
2012-06-01
online
2013-07-02

Contributors

  • Facultad de Humanidades Departamento de Filosofia Universidad Autonoma del Estado de Morelos (Mexico) IEXE, School for Public Policy (Puebla, Mexico)

References

  • [1] Aristotle, The Complete Works. The Revised Oxford Translation, vol. 1, Princeton University Press, Princeton, 1984.
  • [2] Aristotle, The Complete Works. The Revised Oxford Translation, vol. 2, Princeton University Press, Princeton, 1984.
  • [3] Bradley Armour-Garb and JC Beall, “Further remarks on truth and contradiction”, Philosophical Quarterly 52, 207 (2002): 217-225.
  • [4] 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.
  • [5] Ole Thomassen Hjortland, “Proof-theoretic harmony and structural assumptions”. Typescript available at: olethhjortland.googlepages.com/ Cambridge.pdf, 2007.
  • [6] Lloyd Humberstone, “Variation on a trivialist argument of Paul Kabay”, Journal of Logic, Language and Information, 20, 1 (2011): 115-132.
  • [7] Paul Kabay, On the Plenitude of Truth. A Defense of Trivialism, Lambert Academic Publishing, 2010.
  • [8] João Marcos, “Nearly every normal modal logic is paranormal”, Logiqueet Analyse 48, 189-192 (2005): 279-300.
  • [9] Chris Mortensen, “Anything is possible”, Erkenntnis 30, 3 (1989): 319-337.[Crossref]
  • [10] Chris Mortensen, “It isn’t so, but could it be?”, Logique et Analyse 48, 189-192 (2005): 351-360.
  • [11] 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.
  • [12] Graham Priest, “Could everything be true?”, Australasian Journal of Phi-losophy 78, 2 (2000): 189-195.
  • [13] Graham Priest, Doubt Truth to Be a Liar, Oxford University Press, Oxford, 2006.
  • [14] Graham Priest, An Introduction to Non-Classical Logic: From If to Is, Cambridge University Press, 2008.
  • [15] Graham Priest, “Many-valued modal logics: A simple approach”, Reviewof Symbolic Logic 1, 2 (2008): 190-203.
  • [16] Hilary Putnam, “There is at least one a priori truth”, Erkenntnis 13, 1 (1978): 153-170.[Crossref]
  • [17] Nathan Salmon, “The logic of what might have been”, Philosophical Re-view 98, 1 (1989): 3-34.
  • [18] 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.
  • [19] John Woods, “Dialectical considerations on the logic of contradiction: Part I”, Logic Journal of the IGPL 13, 2 (2005): 231-260.

Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.doi-10_2478_llc-2012-0010
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