Or and Anaphora

The meanings of donkey sentences cannot be captured using a procedure which, like Montague’s, uses the existential quantifiers of classical logic to translate indefinites and the variables to translate pronouns. The treatment of these examples requires meanings which depend on the context in which sentences appear, and thus necessitates a logic which models this context to some extent. If context is represented as the information conveyed in discourse, and the meanings of pronouns are enriched to depend on this information, the result is the E-Type approach (ETA) adapted by Heim (1990) from proposals in Evans (1980) and Cooper (1979). If the context is represented as a list of potential referents, and the meanings of indefinites are enriched to introduce new referents into this list, the result is a compositional formulation like Groenendijk and Stokhof’s (1990) of the discourse representation theory (DRT) of Kamp (1981) and Heim (1982). Either tack suffices to capture the way in which the referents of he and it systematically correspond to the alternative possibilities described by the antecedent. Disjunction offers a parallel way of introducing alternatives in the antecedent of a conditional, as shown in (2).
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