Existential Disclosure (revised version of LP-1990-17)
Paul Dekker

Abstract:
The work of Kamp [1981] and Heim [1982] in the early eighties has started a 
new branch of semantic theorizing within the format of discourse represen-
tation theory (DRT). More recently, compositional, dynamic reformulations of 
the DRT framework have been given that enhance comparison of DRT with more 
classical semantic theories, in particular, Montague grammar, and that 
enable an integration of results (Barwise [1987], Rooth [1987], Asher and 
Wada [1988], Zeevat [1989], Groenendijk and Stokhof [1990], Muskens [1990]). 
Groenendijk and Stokhof [1990] in particular formulates a dynamic Montague 
grammar (DMG), in which the paradigmatic Montague grammar of the seventies 
is adapted in order to incorporate DRT-results.

In this paper I want to show how existing treatments of relational nouns, 
adverbial modification and tense in discourse can be formulated within such 
dynamic frameworks. Although there are vaste differences between the three 
kinds of phenomena, they have one feature in common. In existing treatments 
they all involve the specification of an implicit argument. Relational nouns 
appear to have implicit object arguments which can be specified by comple-
ment phrases. Many adverbs have been interpreted as predicates that range 
over events implicitly introduced by verb phrases. And in temporal discourse 
reference times implicitly referred to in one sentence are related to 
reference times involved in subsequent discourse. In all three cases we find 
expressions with implicit arguments referred back to by other expressions.

A dynamic semantics provides a natural framework for the treatment of these 
phenomena. In a dynamic semantics nouns and verbs with implicit arguments 
can be interpreted as functions from individuals to sentence denotations, 
that is, to context change potentials. Thus, they may be interpreted in 
precisely the same way as nouns and verbs without implicit arguments. 
However, the expressions which carry implicit arguments can be taken to 
introduce objects into the context which are available for optional 
adnominal, adverbial or temporal specification.

The proposals made in this paper are programmatic, compositional reformu-
lations of existing treatments of relational nouns, adverbs and tense. The 
point is to show that a compositional system of dynamic interpretation 
provides a natural framework for the description of the phenomena involved. 
Although the reformulations are cast within the framework of DMG, such 
reformulations are not restricted to this particular framework. As I hope 
the following sections show, a completely parallel treatment of the 
phenomena at issue is possible in any compositional reformulation of DRT. I 
have chosen to use DMG because it is relatively simple, at least to those 
who are used to Montagovian semantics.

The paper is organized as follows. In section 1, I review very shortly the 
rudimentary but compositional dynamic reformulation of DRT into DMG proposed 
by Groenendijk and Stokhof. In this section I show that dynamic interpre-
tation comes along with the possibility of what I will call `existential 
disclosure', the possibility of addressing (dynamic) existentially closed 
(implicit) arguments as if they were free variables. The subsequent sections 
2-4 show how existential disclosure can be employed to model the specifi-
cation of implicit arguments of nouns and verbs by means of adnominal modifi-
cation, adverbial modification and temporal operators.