Abstract
Consideration of the metalinguistic effects of utterances involving vague terms has led Barker [1] to treat vagueness using a modified Stalnakerian model of assertion. I present a sorites-like puzzle for factual beliefs in the standard Stalnakerian model [28] and show that it can be resolved by enriching the model to make use of probabilistic belief spaces. An analogous problem arises for metalinguistic information in Barker’s model, and I suggest that a similar enrichment is needed here as well. The result is a probabilistic theory of linguistic representation that retains a classical metalanguage but avoids the undesirable divorce between meaning and use inherent in the epistemic theory [34]. I also show that the probabilistic approach provides a plausible account of the sorites paradox and higher-order vagueness and that it fares well empirically and conceptually in comparison to leading competitors.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Barker, C.: The dynamics of vagueness. Linguistics and Philosophy 25(1), 1–36 (2002)
Benz, A., Jäger, G., Van Rooij, R.: Game theory and Pragmatics. Palgrave Macmillan, Oxford (2005)
Burns, L.: Vagueness: An Investigation into Natural Languages and the Sorites Paradox. Kluwer, Dordrecht (1991)
Edgington, D.: Vagueness by degrees. In: Keefe, R., Smith, P. (eds.) Vagueness: A Reader, pp. 294–316. MIT Press, Cambridge (1997)
Fara, D.G.: Shifting sands: An interest-relative theory of vagueness. Philosophical Topics 20, 45–81 (2000)
Fine, K.: Vagueness, truth and logic. Synthese 30(3), 265–300 (1975)
Frazee, J., Beaver, D.: Vagueness is rational under uncertainty. In: Aloni, M., Bastiaanse, H., de Jager, T., Schulz, K. (eds.) Logic, Language and Meaning. LNCS, vol. 6042, pp. 153–162. Springer, Heidelberg (2010)
Grim, P.: The buried quantifier: An account of vagueness and the sorites. Analysis 65(2), 95 (2005)
Halpern, J.: Reasoning about Uncertainty. MIT Press, Cambridge (2003)
Heim, I.: Degree operators and scope. In: Fery, Sternefeld (eds.) Audiatur Vox Sapientiae: A Festschrift for Arnim von Stechow. Akademie Verlag, Berlin (2001)
Jäger, G., van Rooij, R.: Language structure: psychological and social constraints. Synthese 159(1), 99–130 (2007)
Kamp, H.: Two theories about adjectives. In: Keenan, E. (ed.) Formal Semantics of Natural Language, pp. 123–155. Cambridge University Press, Cambridge (1975)
Keefe, R.: Theories of Vagueness. Cambridge University Press, Cambridge (2000)
Kennedy, C.: Projecting the adjective: The syntax and semantics of gradability and comparison. PhD thesis, U.C., Santa Cruz (1997)
Kennedy, C.: Vagueness and grammar: The semantics of relative and absolute gradable adjectives. Linguistics and Philosophy 30(1), 1–45 (2007)
Kennedy, C., McNally, L.: Scale structure, degree modification, and the semantics of gradable predicates. Language 81(2), 345–381 (2005)
Klein, E.: A semantics for positive and comparative adjectives. Linguistics and Philosophy 4(1), 1–45 (1980)
Lassiter, D.: Gradable Epistemic Modals, Probability, and Scale Structure. To appear in Proceedings of Semantics and Linguistic Theory XX (2010)
Lewis, D.: Convention: A Philosophical Study. Harvard University Press, Cambridge (1969)
Lewis, D.: General semantics. Synthese 22(1), 18–67 (1970)
Merin, A.: Information, relevance, and social decisionmaking: Some principles and results of decision-theoretic semantics. In: Moss, L., Ginzburg, J., de Rijke, M. (eds.) Logic, Language, and Computation, vol. 2, pp. 179–221. CSLI Publications, Stanford (1999)
Parikh, P.: The Use of Language. CSLI Publications, Stanford (2001)
Pietarinen, A.: Game theory and linguistic meaning. Elsevier, Amsterdam (2007)
Sauerland, U., Stateva, P.: Scalar vs. epistemic vagueness: Evidence from approximators. In: Gibson, M., Friedman, T. (eds.) Proceedings of Semantics and Linguistic Theory XVII. CLC Publications, Cornell University (2007)
Schelling, T.: The Strategy of Conflict. Harvard University Press, Stanford (1960)
Schiffer, S.: Vagueness and partial belief. Philosophical Issues 10, 220–257 (2000)
Smith, N.: Degree of belief is expected truth value. In: Dietz, R., Moruzzi, S. (eds.) Cuts and Clouds: Vaguenesss, Its Nature and Its Logic. Oxford University Press, Oxford (2010)
Stalnaker, R.: Assertion. In: Cole, P. (ed.) Syntax and Semantics: Pragmatics, vol. 9. Academic Press, London (1978)
Stalnaker, R.: Inquiry. MIT Press, Cambridge (1984)
Stalnaker, R.: On the representation of context. Journal of Logic, Language and Information 7(1), 3–19 (1998)
Stalnaker, R.: Assertion revisited: On the interpretation of two-dimensional modal semantics. Philosophical Studies 118(1), 299–322 (2004)
Swanson, E.: Interactions With Context. PhD thesis, MIT (2006)
von Stechow, A.: Comparing semantic theories of comparison. Journal of Semantics 3(1), 1–77 (1984)
Williamson, T.: Vagueness. Routledge, New York (1996)
Williamson, T.: Schiffer on the epistemic theory of vagueness. Noûs 33, 505–517 (1999)
Williamson, T.: Knowledge and its Limits. Oxford University Press, Oxford (2000)
Yalcin, S.: Epistemic modals. Mind 116(464), 983–1026 (2007)
Yalcin, S.: Probability Operators. To appear in Philosophy Compass (2010)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Lassiter, D. (2011). Vagueness as Probabilistic Linguistic Knowledge. In: Nouwen, R., van Rooij, R., Sauerland, U., Schmitz, HC. (eds) Vagueness in Communication. VIC 2009. Lecture Notes in Computer Science, vol 6517. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18446-8_8
Download citation
DOI: https://doi.org/10.1007/978-3-642-18446-8_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-18445-1
Online ISBN: 978-3-642-18446-8
eBook Packages: Computer ScienceComputer Science (R0)