Austinian truth, attitudes and type theory ∗
| Abstract | This paper is part of a broader project whose aim is to present a coherent unified approach to natural language dialogue semantics using tools from type theory. Here we explore aspects of our approach which relate to situation theory and situation semantics. We first point out a relationship between type theory and the Austinian notion of truth. We then consider how records in type theory might be used to represent situations and how dependent record types can be used to model constraints on situations. We then sketch treatments of attitude phenomena for which Barwise and Perry proposed situation semantic analyses (perception complements, belief, the Pierre puzzle) as well as two other intensional phenomena (intensional verbs and intentional identity). Finally we give a characterisation of the type theory used and a small illustrative fragment of English. | |||||||||
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Aarne Ranta (1998). Syntactic Calculus with Dependent Types. Journal of Logic, Language and Information 7 (4):413-431.
Simone Gozzano (2012). Type-Identity Conditions for Phenomenal Properties. In Simone Gozzano & Christopher S. Hill (eds.), New Perspective on Type Identity. The Mental and the Physical. ambridge University Press.
Paul C. Gilmore (2001). An Intensional Type Theory: Motivation and Cut-Elimination. Journal of Symbolic Logic 66 (1):383-400.
Jan Smith (1984). An Interpretation of Martin-Löf's Type Theory in a Type-Free Theory of Propositions. Journal of Symbolic Logic 49 (3):730-753.
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