A Formal Semantics for Some Discourse Anaphora
Dissertation, University of California, San Diego (
1985)
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Abstract
The dissertation is an attempt to provide a formal semantics for occurrences of anaphoric pronouns and definite descriptions whose quantifier antecedents occur in sentences other than those in which the anaphoric pronouns and descriptions themselves occur, . The predominant view of anaphoric pronouns whose quantifier antecedents occur in the same sentence as they do is that they function as bound variables . Chapter 1 of this dissertation is constituted by a series of arguments against a bound variable treatment of q - terms and the observation that the semantic behavior of q - terms is similar to that of certain singular terms in English arguments. Given the similarity of semantic behavior between the latter and q - terms, it seems plausible to suppose that a theory of the semantic behavior of these singular terms in English arguments would provide a model for the eventual production of a semantic theory of q - terms. In Chapter 2, a formal semantics for these singular terms in arguments is produced. In Chapter 3, a formal semantics for q - terms is produced, on the model of the semantics in Chapter 2. Finally, in Chapter 4 it is shown that the formal semantics of Chapter 3 can be extended to handle pronouns in discourses containing verbs of propositional attitudes such as 'wants', 'dreams' etc. It is also shown that some occurrences of sentences containing q - terms have truth conditions not expressible by any quantified first order sentence. One must use finite partially ordered quantifiers to express the truth conditions of such occurrences of sentences. ;The dissertation contains two appendices: the first is a technical discussion of the formal semantics of Hans Kamp which shows that his theory cannot accomodate the linguistic data mine is designed to handle. The second examines the views of Gareth Evans, Charles Chastain and Keith Donnellan on certain anaphoric pronouns