This paper presents corpus and experimental data that problematize the traditional analysis of must as a strong necessity modal, as recently revived and defended by von Fintel and Gillies :351–383, 2010). I provide naturalistic examples showing that must p can be used alongside an explicit denial of knowledge of p or certainty in p, and that it can be conjoined with an expression indicating that p is not certain or that not-p is possible. I also report the results of an (...) experiment involving lotteries, where most participants endorsed a sentence of the form must not-p despite being instructed that p is a possibility. Crucially, endorsement was much higher for must in this context than for matched sentences with knowledge or certainty expressions. These results indicate that the requirements for felicitous use of must are weaker than for know and certain rather than being at least as strong, as the epistemic necessity theory would predict. However, it is possible to account for these data while retaining the key insights of von Fintel and Gillies’ analysis of the evidential component of must. I discuss several existing accounts that could be construed in this way and explain why none is completely satisfactory. I then propose a new model that embeds an existing scalar theory into a probabilistic model of informational dynamics structured around questions and answers. (shrink)

We derive a probabilistic account of the vagueness and context-sensitivity of scalar adjectives from a Bayesian approach to communication and interpretation. We describe an iterated-reasoning architecture for pragmatic interpretation and illustrate it with a simple scalar implicature example. We then show how to enrich the apparatus to handle pragmatic reasoning about the values of free variables, explore its predictions about the interpretation of scalar adjectives, and show how this model implements Edgington’s Vagueness: a reader, 1997) account of the sorites paradox, (...) with variations. The Bayesian approach has a number of explanatory virtues: in particular, it does not require any special-purpose machinery for handling vagueness, and it is integrated with a promising new approach to pragmatics and other areas of cognitive science. (shrink)

ABSTRACT A trivalent theory of indicative conditionals automatically enforces Stalnaker's thesis – the equation between probabilities of conditionals and conditional probabilities. This result holds because the trivalent semantics requires, for principled reasons, a modification of the ratio definition of conditional probability in order to accommodate the possibility of undefinedness. I explain how this modification is motivated and how it allows the trivalent semantics to avoid a number of well-known triviality results, in the process clarifying why these results hold for many (...) bivalent theories. In short, the slew of triviality results published in the last 40-odd years need not be viewed as an argument against Stalnaker's thesis: it can be construed instead as an argument for abandoning the bivalent requirement that indicative conditionals somehow be assigned a truth-value in worlds in which their antecedents are false. (shrink)

Conditionals frequently convey that the antecedent is relevant to the consequent. Recently many authors have argued that this relevance is part of the conventional meaning of conditionals, but this approach fails to account for many examples where a conditional is used to conveyirrelevance of antecedent to consequent. Both types of conditionals are best explained by a conventional meaning with no relevance requirement, and a separate process of coherence establishment among successive clauses in discourse. This account is supported by the distribution (...) of discourse particles and is able to account for experimental studies used to support the conventionalist position. (shrink)

Abstract: Chomsky (1986) has claimed that the prima facie incompatibility between descriptive linguistics and semantic externalism proves that an externalist semantics is impossible. Although it is true that a strong form of externalism does not cohere with descriptive linguistics, sociolinguistic theory can unify the two approaches. The resulting two-level theory reconciles descriptivism, mentalism, and externalism by construing community languages as a function of social identification. This approach allows a fresh look at names and definite descriptions while also responding to Chomsky's (...) (1993, 1995) challenge to articulate an externalist theory of meaning that can be used in the scientific investigation of language. (shrink)

The basic Bayesian model of credence states, where each individual’s belief state is represented by a single probability measure, has been criticized as psychologically implausible, unable to represent the intuitive distinction between precise and imprecise probabilities, and normatively unjustifiable due to a need to adopt arbitrary, unmotivated priors. These arguments are often used to motivate a model on which imprecise credal states are represented by sets of probability measures. I connect this debate with recent work in Bayesian cognitive science, where (...) probabilistic models are typically provided with explicit hierarchical structure. Hierarchical Bayesian models are immune to many classic arguments against single-measure models. They represent grades of imprecision in probability assignments automatically, have strong psychological motivation, and can be normatively justified even when certain arbitrary decisions are required. In addition, hierarchical models show much more plausible learning behavior than flat representations in terms of sets of measures, which—on standard assumptions about update—rule out simple cases of learning from a starting point of total ignorance. (shrink)

Thought: A Journal of Philosophy, Volume 10, Issue 1, Page 42-52, March 2021.

Epistemic and deontic comparatives differ in how they interact with disjunction. I argue that this difference provides a compelling empirical argument against the semantics of Kratzer, which predicts that all modal comparatives should interact with disjunction in the same way. Interestingly, an identical distinction is found in the semantics of non-modal adjectives: additive adjectives like ‘heavy’ behave logically like epistemic comparatives, and intermediate adjectives like ‘hot’ behave like deontic comparatives. I characterize this distinction formally and argue that the divergence between (...) epistemic and deontic modals explained if we structure their semantics around scalar concepts: epistemic modals should be analyzed using probability , and deontic modals using expected value. (shrink)

The European Summer School in Logic, Language and Information is organized every year by the Association for Logic, Language and Information in different sites around Europe. The main focus of ESSLLI is on the interface between linguistics, logic and computation. ESSLLI offers foundational, introductory and advanced courses, as well as workshops, covering a wide variety of topics within the three areas of interest: Language and Computation, Language and Logic, and Logic and Computation. During two weeks, around 50 courses and 10 (...) workshops are offered to the attendants, each of 1.5 hours per day during a five days week, with up to seven parallel sessions. ESSLLI also includes a student session and four evening lectures by senior scientists in the covered areas. The 15 revised full papers presented were carefully reviewed and selected. The papers are organized in topical sections on The papers are organized in topical sections on language and computation; logic and computation; and logic and language. (shrink)

Individualists and externalists about language take themselves to be disagreeing about the basic subject matter of the study of language. Are linguistic facts are really facts about individuals, or really facts about language use in a community?The right answer to this question, I argue, is ‘Yes’. Both individualistic and social facts are crucial to a complete understanding of human language. The relationship between the theories inspired by these facts is analogous to the relationship between anatomy and ecology, or between micro- (...) and macro-economics: both types of facts are important objects of study in their own right, but we need a theory that accounts for the complex relationship between the two. I argue that modern extensions of the signaling-games approach of Lewis (1969) do just this, defusing the conflict while preserving the core positive insights of both sides of this debate.The upshot is that arguments for social externalism and the normativity of meaning pose no threat to individualist explanations and can be accountedfor within a naturalistic theory of language. A good externalist theory will make crucial reference to individualistic facts, but go further by examining language users’ interactions in a systematic way. (shrink)