Extended Game-Theoretical Semantics
A new version of Game-Theoretical Semantics (GTS) is put forward where game rules are extended to the non-logical constants of sentences. The resulting theory, together with a refinement of our criteria of identity for functions, provide the technical basis for a game-based conception of linguistic meaning and interpretation.
KeywordsFunction Symbol Definite Description Winning Strategy Relation Symbol Competent Speaker
Acknowledgments Previous and partial versions of this work were presented on several occasions during the past years—notably at APLI 2006 (Rijeka, Croatia), at JSM 2007 (Paris, France), and at the Universidade Nova de Lisboa (2008). I wish to thank Denis Bonnay, Paul Egré, Bertram Kienzle, Paul Gochet, Helge Rückert, Anna Sierszulska, and Tero Tulenheimo for their comments on earlier versions of this paper and for many fruitful discussions. All errors remain mine.
- 1.van Benthem, Johan. 2006. “The Epistemic Logic of IF Games.” In The Philosophy of Jakko Hintikka, The Library of Living Philosophers Volume XXX, edited by R.E. Auxier and L.E. Hahn, 481–512. Chicago and La Salle, IL: Open Court.Google Scholar
- 4.Clark, Robin. 2007. “Games, Quantifiers and Pronouns.” In Game Theory and Linguistic Meaning, edited by A.-V. Pietarinen, 139–59. Amsterdam: Elsevier.Google Scholar
- 5.Fodor, Jerry A. 1987. Psychosemantics: The Problem of Meaning in the Philosophy of Mind. Cambridge MA: MIT Press.Google Scholar
- 6.von Heusinger, Klaus. 2002. “Reference and Representation of Pronouns.” In Pronouns – Representation and Grammar, edited by H.J. Simon and H. Wiese, 109–35. Amsterdam, Philadelphia, PA: Benjamin.Google Scholar
- 7.Hintikka, Jaakko. 1969. “Semantics for Propositional Attitudes.” In Philosophical Logic, edited by J.W. Davis, D.J. Hockney and W.K. Wilson, 21–45. Dordrecht: D. Reidel.Google Scholar
- 10.Hintikka, Jaakko, and Jack Kulas. 1985. Anaphora and Definite Descriptions: Two Applications of Game-Theoretical Semantics. Dordrecht: D. Reidel.Google Scholar
- 12.Jackson, Peter. 1988. “On Game-Theoretic Interactions with First-Order Knowledge Bases.” In Non-standard Logics for Automated Reasoning, edited by P. Smets, E.H. Mamdani, D. Dubois, and H. Prade, 27–54. London: Academic Press.Google Scholar
- 13.Moschovakis, Yannis N. 1994. “Sense and Denotation as Algorithm and Value.” In Lecture Notes in Logic 2, edited by J. Oikkonen and J. Väänänen, 210–49. Berlin: Springer.Google Scholar
- 15.Pietarinen, Ahti-Veikko, and Tero Tulenheimo. 2004. An Introduction to IF Logic. ESSLLI 2004, Nancy. http://esslli2004.loria.fr/content/readers/45.pdf. Accessed July 16, 2011.
- 16.Putnam, Hilary. 1975. “The Meaning of ‘Meaning’.” In Language, Mind and Knowledge, edited by K. Gunderson, 131–93. Minneapolis, MN: University of Minnesota Press.Google Scholar
- 17.Rebuschi, Manuel. 2008. “Contenu étroit, mécanisme et fonctions de choix.” Philosophie 100:77–94.Google Scholar
- 18.Rebuschi, Manuel. 2009. “Modalités épistémiques et modalités aléthiques chez Hintikka.” Revue Internationale de Philosophie 250:395–404.Google Scholar