Online research in philosophy

“Be Articulate: A Pragmatic Theory of Presupposition Projection” is a remarkable paper in at least two respects: First, it is the only broadly Gricean treatment of presuppositions that generates precise and accurate predictions about the pattern of presupposition projection. Schlenker proposes that presuppositions arise as a result of a pragmatic prohibition against using one short construction to express two independent meanings. This basic idea is quite an old one.1 But no one has ever elaborated this pragmatic story in a way that yields a systematic theory of presupposition projection. Indeed, for many, the fact that pragmatic approaches to presupposition did not easily account for a wide range of projection behavior (most previous accounts contented themselves by treating projection out of negation) was a reason to be skeptical of such pragmatic approaches. Schlenker’s work puts this worry about Gricean accounts to rest.

In this paper, we offer a novel analysis of presuppositions, paying particular attention to the interaction between the knowledge resources that are required to interpret them. The analysis has two main features. First, we capture an analogy between presuppositions, anaphora and scope ambiguity (cf. van der Sandt, 1992), by utilising semantic underspecification (cf. Reyle, 1993). Second, resolving this underspecification requires reasoning about how the presupposition is rhetorically connected to the discourse context. This has several consequences. First, since pragmatic information plays a role in computing the rhetorical relation, it also constrains the interpretation of presuppositions. Our account therefore goes beyond existing ones, and provides a forum for analysing problematic data, that require pragmatic reasoning. Second, binding presuppositions to the context via rhetorical links replaces accommodating them, in the sense of adding them to the context (cf. Lewis, 1979). Thus, unlike previous theories, we don't resort to interpretation mechanisms that are peculiar to presuppositions. Rather, they are handled entirely in terms of the discourse update procedure. We formalise this approach in SDRT (Asher 1993, Lascarides and Asher 1993), and demonstrate that it provides a rich framework for interpreting presuppositions, where semantic and pragmatic constraints are integrated.

In his paper “What is a Context of Utterance?”, Christopher Gauker (1998) argues that the phenomenon of informative presuppositions is incompatible with the “pragmatic” view of presuppositions as involving requirements on the common ground, the body of shared assumptions of the participants in a conversation. This is a surprising claim since most proponents of this view have in fact dealt with informative presuppositions by appealing to a process called presupposition accommodation. Gauker’s attack shows the need to clarify the nature of this process.

In the last thirty years, the problem of presupposition projection has been taken to provide a decisive argument for a dynamic approach to meaning, one in which expressions are not evaluated with respect to the ‘global’ context of utterance, but rather with respect to a ‘local context’ obtained by updating the global one with expressions that occur earlier in the sentence. The computation of local contexts is taken by dynamic analyses to follow from a generalization of the notion of belief update. I argue that the dynamic approach is faced with a dilemma: in its pragmatic incarnation (Stalnaker), it is explanatory but not general; in its semantic incarnation (Karttunen and Heim), it is general but not explanatory. I suggest that the dilemma stems for a faulty understanding of ‘local contexts’, and I offer a new reconstruction of this notion which eschews belief update but offers a general and fully precise solution to the projection problem.

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.

In his paper “What is a Context of Utterance?”, Christopher Gauker (1998) argues that the phenomenon of informative presuppositions is incompatible with the “pragmatic” view of presuppositions as involving requirements on the common ground, the body of shared assumptions of the participants in a conversation. This is a surprising claim since most proponents of this view have in fact dealt with informative presuppositions by appealing to a process called presupposition accommodation. Gauker’s attack shows the need to clarify the nature of this process.

This paper consists of two main parts and a coda. In the first part I present the ''binding theory'' of presupposition projection, which is the framework that I adopt in this paper (Section 1.1). I outline the main problems that arise in the interplay between presuppositions and anaphors on the one hand and attitude reports on the other (Section 1.2), and discuss Heim''s theory of presuppositions in attitude contexts (Section 1.3).In the second part of the paper I present my own proposal. To begin with, I define an extension of DRT in which attitude reports can be represented (Sections 2.1–2.2). I then argue that the verb believe triggers a certain presupposition and that, given the binding theory, this presupposition determines the projection behaviour of the verb (Section 2.3). This analysis yields predictions which are incomplete in the sense that they do not fully account for speakers'' intuitions about presuppositions and anaphors in belief contexts. In Section 2.4 I suggest that this is as it should be because we may assume on independent grounds that there is a class of plausibility inferences which complement the predictions of the presupposition theory. Finally, the analysis is extended to the verb want (Section 2.5).

It is a somewhat vexed question whether presuppositions are always accommodated into the global context of utterance of the sentence, or whether they may sometimes be accommodated into a local context - the context of some subsentential constituent. Von Fintel (2008) argues that there is no local accommodation. He shows that presuppositions in the scope of universally quantified sentences, which have traditionally been handled via local accommodation (eg Heim 1983), can be accounted for by assuming that conversational participants select a domain of quantification such that every relevant element of it has the property required by the presupposition in the scope. It is shown that this domain selection mechanism cannot account for a related set of data involving presupposition triggers in the restrictor rather than scope of the universal. We also discuss the relationship between quantified sentences and conditionals, and general consequences for the theory of presupposition accommodation.

Understanding the pattern by which complex sentences inherit the presuppositions of their parts (presupposition projection) has been a major topic in formal pragmatics since the 1970s. Heim’s classic paper “On the Projection Problem for Presuppositions” (1983) proposed a replacement of truth-conditional semantics with a dynamic semantics that treats meanings as instructions to update the common ground. Heim’s system predicts the basic pattern of presupposition projection quite accurately. The classic objection to this program (including other versions of dynamic semantics) is that the treatment of binary connectives is stipulative, and other, equally natural treatments fail to make the right predictions about presupposition projection. I give a variation on Heim’s system that is designed to escape this objection. I show that the most liberal possible version of this variant is equivalent to a strong-Kleene system in terms of its definedness conditions.