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This article develops a Gricean account for the computation of scalar implicatures in cases where one scalar term is in the scope of another. It shows that a cross-product of two quantitative scales yields the appropriate scale for many such cases. One exception is cases involving disjunction. For these, I propose an analysis that makes use of a novel, partially ordered quantitative scale for disjunction and capitalizes on the idea that implicatures may have different epistemic status.
The article aims to give an overview about the application of Optimality Theory (OT) to the domain of pragmatics. In the introductory part we discuss different ways to view the division of labor between semantics and pragmatics. Rejecting the doctrine of literal meaning we conform to (i) semantic underdetermination and (ii) contextualism (the idea that the mechanism of pragmatic interpretation is crucial both for determining what the speaker says and what he means). Taking the assumptions (i) and (ii) as essential requisites for a natural theory of pragmatic interpretation, section 2 introduces the three main views conforming to these assumptions: Relevance theory, Levinson’s theory of presumptive meanings, and the Neo-Gricean approach. In section 3 we explain the general paradigm of OT and the idea of bidirectional optimization. We show how the idea of optimal interpretation can be used to restructure the core ideas of these three different approaches. Further, we argue that bidirectional OT has the potential to account both for the synchronic and the diachronic perspective on pragmatic interpretation. Section 4 lists relevant examples of using the framework of bidirectional optimization in the domain of pragmatics. Section 5 provides some general conclusions. Modeling both for the synchronic and the diachronic perspective on pragmatics opens the way for a deeper understanding of the idea of naturalization and (cultural) embodiment in the context of natural language interpretation.
In this paper, we outline the foundations of a theory of implicatures. It divides into two parts. The first part contains the base model. It introduces signalling games, optimal answer models, and a general definition of implicatures in terms of natural information. The second part contains a refinement in which we consider noisy communication with efficient clarification requests. Throughout, we assume a fully cooperative speaker who knows the information state of the hearer. The purpose of this paper is not the study of examples. Our concern is the framework for doing these studies.