David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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We present Property Theory with Curry Typing (PTCT), an intensional ﬁrst-order logic for natural language semantics. PTCT permits ﬁne-grained speciﬁcations of meaning. It also supports polymorphic types and separation types.1 We develop an intensional number theory within PTCT in order to represent proportional generalized quantiﬁers like most. We use the type system and our treatment of generalized quantiﬁers in natural language to construct a type-theoretic approach to pronominal anaphora that avoids some of the diﬃculties that undermine previous type-theoretic analyses of this phenomenon.
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