There is a prominent line of work in natural language semantics, rooted in the work of Hamblin, in which the meaning of a sentence is not taken to be a single proposition, but rather a set of propositions—a set of alternatives. This allows for a more fine-grained view on meaning, which has led to improved analyses of a wide range of linguistic phenomena. However, this approach also faces a number of problems. We focus here on two of these, in our (...) view the most fundamental ones. The first has to do with how meanings are composed, i.e., with the type-theoretic operations of function application and abstraction; the second has to do with how meanings are compared, i.e., the notion of entailment. Our aim is to reconcile what we take to be the essence of Hamblin’s proposal with the more orthodox type-theoretic framework rooted in the work of Montague in such a way that both the explanatory utility of the former and the solid formal foundations of the latter are preserved. Our proposal builds on insights from recent work on inquisitive semantics, and it also contributes to the further development of this framework by specifying how the inquisitive meaning of a sentence may be built up compositionally. (shrink)

I argue that alternative-denoting expressions interact with their semantic context by taking scope. With an empirical focus on indefinites in English, I show how this approach improves on standard alternative-semantic architectures that use point-wise composition to subvert islands, as well as on in situ approaches to indefinites more generally. Unlike grammars based on point-wise composition, scope-based alternative management is thoroughly categorematic, doesn’t under-generate readings when multiple sources of alternatives occur on an island, and is compatible with standard treatments of binding. (...) Unlike all in situ treatments of indefinites, relying on a true scope mechanism prevents over-generation when an operator binds into an indefinite. My account relies only on function application, some mechanism for scope-taking, and two freely-applying type-shifters: the first is Karttunen’s :3–44, 1977. https://doi.org/10.1007/BF00351935) proto-question operator, aka Partee’s Studies in discourse representation theory and the theory of generalized quantifiers, Foris, Dordrecht, 1986) IDENT, and the second can be factored out of extant approaches to the semantics of questions in the tradition of Karttunen. These type-shifters form a decomposition of LIFT, the familiar function mapping values into scope-takers. Exceptional scope of alternative-generating expressions arises via scopal pied-piping: indefinites take scope over their island, which then itself takes scope. (shrink)

In this paper I focus on a recently discussed phenomenon illustrated by sentences containing predicates of taste: the phenomenon of " perspectival plurality " , whereby sentences containing two or more predicates of taste have readings according to which each predicate pertains to a different perspective. This phenomenon has been shown to be problematic for (at least certain versions of) relativism. My main aim is to further the discussion by showing that the phenomenon extends to other perspectival expressions than predicates (...) of taste and by proposing a general solution to the problem raised by it on behalf of the relativist. The core claim of the solution (" multiple indexing ") is that utterances of sentences containing perspectival expressions should be evaluated with respect to (possibly infinite) sequences of perspective parameters. (shrink)

We provide an overview of the meta-ontological position known as "Quantifier Variance".

Neg-Raising concerns the phenomenon by which certain negated predicates can give rise to a reading where the negation seems to take scope from an embedded clause. The standard analysis in pragma-semantic terms goes back to Bartsch and has been elaborated in Horn, Gajewski, Romoli, and many others. Recently, this standard approach has been challenged by Collins and Postal, who argue, by providing various novel arguments, that Neg-Raising involves syntactic movement of the negation from the embedded clause into the matrix clause. (...) The syntactic structure of ‘I don’t think you’re right’ would then be like: I do[n’t]i think you’re ti right, and the Neg-Raising reading would result from the interpretation of the lower copy of the negation. In this paper I present three novel arguments against this account. First, following up work by Horn, I show that Collins and Postal, and their reply to Horn, predict that every negated predicate that can license so-called Horn-clauses should receive a Neg-Raising reading, contrary to fact. Second, Collins and Postal adopt various instances of phonological deletion of negative operators—a necessary ingredient for their account—but these instances of phonological deletion cannot be independently motivated. Third, it turns out that for certain constructions, Collins and Postal must also allude to the original Bartschian approach. I further demonstrate that the standard, pragma-semantic approach to Neg-Raising actually explains the grammaticality of Horn-clauses and other phenomena, such as the distribution of negative parentheticals, that were presented by Collins and Postal as arguments in favour of the syntactic approach to Neg-Raising, equally well, if not better, than this syntactic alternative. (shrink)

The existential and universal quantifiers in Japanese both consist of two morphemes: an indeterminate pronoun and a quantificational suffix. This paper examines the distributional characteristics of these suffixes (ka for the existential quantifier and mo for the universal quantifier). It is shown that ka can appear in a wider range of structural positions than mo can. This difference receives explanation on semantic grounds. I propose that mo is a generalized quantifier. More specifically, I assume that the phrase headed by mo (...) is of type ${\langle\langle\alpha, t\rangle, t}$ . Because of its type, mo cannot appear in certain structural positions without causing type mismatch. Ka, on the other hand, is a choice function variable of type ${\langle\alpha/t, \alpha\rangle}$ , and due to its type, its distribution is not as restricted. One of the consequences of this analysis is that there are no quantifier raising or type shifting operations in Japanese that would adequately obviate type mismatch. (shrink)

This paper revisits two fundamental issues in question semantics—what does a question mean, and how is this meaning compositionally derived? Drawing on observations with the distribution of wh-words in questions and free relatives as well as quantificational variability effects in question-embeddings, I argue that the nominal meanings of short answers must be derivable from question denotations, which therefore calls for a categorial approach to defining questions, including embedded questions. I provide a novel hybrid categorial approach to compose questions. This approach (...) overcomes the problems with traditional categorial approaches in defining bare wh-indefinites, composing multi-wh questions, and accounting for coordinations of questions. (shrink)

I give an account of the compositional semantics of unconditionals that explains their relationship to if -conditionals in the Lewis/Kratzer/Heim tradition. Unconditionals involve an alternative-denoting adjunct that supplies domain restrictions pointwise to a main-clause operator such as a modal. The differences from if -clauses follow from the structure of the adjuncts; both are conditionals in the Lewisian sense. In the course of treating unconditionals, I provide a concrete implementation of conditionals where conditional adjuncts in general are a species of correlative, (...) and show what detaching this hypothesis from if involves. (shrink)

This paper offers an analysis of metalinguistic comparatives such as more dumb than crazy in which they differ from ordinary comparatives in the scale on which they compare: ordinary comparatives use scales lexically determined by particular adjectives, but metalinguistic ones use a generally-available scale of imprecision or ‘pragmatic slack’. To implement this idea, I propose a novel compositional implementation of the Lasersohnian pragmatic-halos account of imprecision—one that represents clusters of similar meanings as Hamblin alternatives. In the theory that results, existential (...) closure over alternatives mediates between alternative-sets and meanings in which imprecision has been resolved. I then articulate a version of this theory in which the alternatives are not related meanings but rather related utterances, departing significantly from Lasersohn’s original conception. Although such a theory of imprecision is more clearly ‘metalinguistic’, the evidence for it from metalinguistic comparatives in English is surprisingly limited. The overall picture that emerges is one in which the grammatical distinction between ordinary and metalinguistic comparatives tracks the independently motivated distinction between vagueness and imprecision. (shrink)

Next SectionBy discussing a novel paradigm, it is shown that the likeliness of an operator to trigger an intervention effect in a wh-in-situ question is determined by the logical properties of that operator (contra Beck 1996a, 2006, for instance). A new empirical generalization accounting for the differences between operators in their ability to cause intervention and improving on existing analyses is suggested. This generalization is fully predictive and allows one to not have to list in the lexicon whether an intervener (...) is problematic or not. It is implemented as a formal condition on wh-questions in a version of Hamblin 1973's/Karttunen 1977's question semantics that makes crucial use of Chierchia 2006's domain alternatives. (shrink)

In Beck, focus intervention is used as an argument for reducing Hamblin’s semantics for questions to Rooth’s focus semantics. Drawing on novel empirical evidence from Mandarin and English, we argue that this reduction is unwarranted. Maintaining both Hamblin’s original semantics and Rooth’s focus semantics not only allows for a more adequate account for focus intervention in questions, but also correctly predicts that focus intervention is a very general phenomenon caused by interaction of alternatives in different dimensions.

Formal semantic analyses often take words to be minimal building blocks for the purposes of compositionality. But various recent theories of morphology and syntax have converged on the view that there is no demarcation line corresponding to the word level. The same conclusion has emerged from the compositional semantics of superlatives. In the spirit of extending compositionality below the word level, this paper explores how a small set of particles (Japanese KA and MO, Chinese DOU, and Hungarian VALA/VAGY, MIND, and (...) IS) form quantifier words and serve as connectives, additive and scalar particles, question markers, and existential verbs. The main question is whether the meanings of these particles across the varied environments are highly regular, or they are lexicalized with a variety of different meanings that bear a family resemblance. This paper does not reach definitive conclusions, but it raises analytical possibilities using Boolean semantics and the semantics of alternatives. It also draws attention to systematic similarities and some differences between MO and DOU that have not been studied in the literature. (shrink)

We explore the power of type-logical grammar as a linguistic theory, specifically, of a new tentative development inside the framework—a “symmetricized” Lambek Calculus, due to [Moortgat2005]. The basis for our discussion is an account we give for constructions involving questions and—in particular—involving sluicing; it seeks to solve puzzles these constructions have been setting for linguistic theory. Two things in the organization of grammar are of interest here: first, a uniform system joining structures from the surface side (syntactic) and structures from (...) the “mind side” (discourse)—we call MERGE and co-MERGE the relations by which the former and the latter structures are arranged; second, a view on the circumstances of performing MOVE (by Syntax) from the type-logical perspective. As it is usual for type-logical grammars, the theory is conscious of semantics. We refer to examples from Japanese, on one side, and from English and Russian, on the other. (shrink)

The 2007 edition of the Amsterdam Colloquium is the Sixteenth in a series which started in 1976. Originally, the Amsterdam Colloquium was an initiative of the Department of Philosophy of the University of Amsterdam. Since 1984 the Colloquium is organized by the Institute for Logic, Language and Computation (ILLC) of the University of Amsterdam.

We carry out the Karttunen-Stalnaker pragmatic account of presupposition projection within a state-of-the art version of dynamic epistemic logic. It turns out that the basic projection facts can all be derived from a Gricean maxim ‘be informative’. This sheds light on a recent controversy on the appropriateness of dynamic semantics as a tool for analysing presupposition.