Towards a Probabilistic Semantics for Vague Adjectives

A way of modelling the meanings of vague terms directly in terms of the uncertainties they give rise to is explored. These uncertainties are modelled with a probabilistic, Bayesian version of situation semantics on which meaning is captured as the correlations between uses of words and the types of situations those words are used to refer to. It is argued that doing so provides a framework from which vagueness arises naturally. It is also claimed that such a framework is in a position to better capture the boundarylessness of vague concepts.

[1]  Rick Nouwen,et al.  Vagueness in Communication , 2009, Lecture Notes in Computer Science.

[2]  Christopher Potts,et al.  Learning the meaning of scalar adjectives , 2010 .

[3]  M. Cresswell THE SEMANTICS OF DEGREE , 1976 .

[4]  David Beaver,et al.  Vagueness Is Rational under Uncertainty , 2009, Amsterdam Colloquium on Logic, Language and Meaning.

[5]  R. Cooper Type Theory and Semantics in Flux , 2012 .

[6]  Shalom Lappin,et al.  当代语义理论指南 = The Handbook of Contemporary Semantic Theory , 2015 .

[7]  Keith Devlin,et al.  Situation theory and situation semantics , 2006, Logic and the Modalities in the Twentieth Century.

[8]  Petra Hendriks,et al.  Review of C. Kennedy, Projecting the adjective. The syntax and semantics of gradability and comparison , 1999 .

[9]  R. M. Sainsbury,et al.  Concepts without boundaries , 1996 .

[10]  N. Cocchiarella,et al.  Situations and Attitudes. , 1986 .

[11]  A. N. Kolmogorov,et al.  Foundations of the theory of probability , 1960 .

[12]  Hans Kamp,et al.  TWO THEORIES ABOUT ADJECTIVESa,* , 2022 .

[13]  Matthew Purver,et al.  Grammar resources for modelling dialogue dynamically , 2009, Cognitive Neurodynamics.

[14]  Uwe Reyle,et al.  From discourse to logic , 1993 .

[15]  Staffan Larsson,et al.  A Probabilistic Rich Type Theory for Semantic Interpretation , 2014, EACL 2014.

[16]  Katrin Schulz,et al.  Logic, Language and Meaning - 17th Amsterdam Colloquium, Amsterdam, The Netherlands, December 16-18, 2009, Revised Selected Papers , 2010, Amsterdam Colloquium on Logic, Language and Meaning.

[17]  D. Fara Shifting sands: An interest relative theory of vagueness , 2000 .

[18]  Alfréd Rényi,et al.  Foundations of Probability , 1971 .

[19]  Peter Sutton Vagueness, communication, and semantic information , 2013 .

[20]  Staffan Larsson,et al.  Probabilistic Type Theory and Natural Language Semantics , 2015, LILT.

[21]  Delia Graff,et al.  Shifting Sands: An Interest-Relative Theory of Vagueness , 2000 .

[22]  Christopher Kennedy Vagueness and grammar: the semantics of relative and absolute gradable adjectives , 2007 .

[23]  Daniel Lassiter,et al.  Vagueness as Probabilistic Linguistic Knowledge , 2009, ViC.

[24]  J. A. W. Kamp,et al.  Formal semantics of Natural Language: Two theories about adjectives , 1975 .