The purpose of this paper is to use an anaphoric notion of presupposition for solving the problem of zero argument anaphora. Since Shopen (1973) it has been known that many missing arguments have an anaphoric interpretation, but it has not been known how this interpretation arises. I argue that these arguments are involved in presuppositions. On an anaphoric account of presuppositions as in van der Sandt (1992) or Kamp and Roßdeutscher (1992), it can be shown that the zero arguments acquire (...) an anaphoric interpretation through the presuppositions. The analysis rests on the principle that the Discourse Representation Structure for the presupposition is proper, so that the discourse referents for the zero arguments are in its universe and must be anchored to discourse referents in the context. (shrink)

This paper embeds the core part of Discourse Representation Theory in the classical theory of types plus a few simple axioms that allow the theory to express key facts about variables and assignments on the object level of the logic. It is shown how the embedding can be used to combine core analyses of natural language phenomena in Discourse Representation Theory with analyses that can be obtained in Montague Semantics.

We present a new method for characterizing the interpretive possibilities generated by elliptical constructions in natural language. Unlike previous analyses, which postulate ambiguity of interpretation or derivation in the full clause source of the ellipsis, our analysis requires no such hidden ambiguity. Further, the analysis follows relatively directly from an abstract statement of the ellipsis interpretation problem. It predicts correctly a wide range of interactions between ellipsis and other semantic phenomena such as quantifier scope and bound anaphora. Finally, although the (...) analysis itself is stated nonprocedurally, it admits of a direct computational method for generating interpretations. (shrink)

In this paper it is shown how the DRT (Discourse Representation Theory) treatment of temporal anaphora can be formalized within a version of Montague Semantics that is based on classical type logic.