The paper argues that two distinct and independent notions of plurality are involved in natural language anaphora and quantification: plural reference (the usual non-atomic individuals) and plural discourse reference, i.e., reference to a quantificational dependency between sets of objects (e.g., atomic/non-atomic individuals) that is established and subsequently elaborated upon in discourse. Following van den Berg (PhD dissertation, University of Amsterdam, 1996), plural discourse reference is modeled as plural information states (i.e., as sets of variable assignments) in a new dynamic system (...) couched in classical type logic that extends Compositional DRT (Muskens, Linguistics and Philosophy, 19, 143-186, 1996). Given the underlying type logic, compositionality at sub-clausal level follows automatically and standard techniques from Montague semantics become available. The idea that plural info states are semantically necessary (in addition to non-atomic individuals) is motivated by relative-clause donkey sentences with multiple instances of singular donkey anaphora that have mixed (weak and strong) readings. At the same time, allowing for non-atomic individuals in addition to plural info states enables us to capture the intuitive parallels between singular and plural (donkey) anaphora, while deriving the incompatibility between singular (donkey) anaphora and collective predicates. The system also accounts for empirically unrelated phenomena, e.g., the uniqueness effects associated with singular (donkey) anaphora discussed in Kadmon (Linguistics and Philosophy, 13, 273-324, 1990) and Heim (Linguistics and Philosophy, 13, 131-177, 1990) among others. (shrink)

Donkey pronouns (e.g., it in Every farmer who owns a donkey beats it) are argued to have an interpretation more similar to a demonstrative phrase (e.g., . . . beats that donkey) than to any of the other alternatives generally considered (e.g., . . . the donkey(s) he owns, . . . a donkey he owns). Like the demonstrative phrase, the pronoun is not equivalent to Evans' E-type paraphrase, nor to either the weak or the strong reading sometimes claimed for (...) donkey sentences. A consequence is to narrow the range of formal analyses. (shrink)

There are two main approaches to the problem of donkey anaphora (e.g. If John owns a donkey , he beats it ). Proponents of dynamic approaches take the pronoun to be a logical variable, but they revise the semantics of quantifiers so as to allow them to bind variables that are not within their syntactic scope. Older dynamic approaches took this measure to apply solely to existential quantifiers; recent dynamic approaches have extended it to all quantifiers. By contrast, proponents of (...) E-type analyses take the pronoun to have the semantics of a definite description (with it ≈ the donkey, or the donkey that John owns ). While competing accounts make very different claims about the patterns of coindexation that are found in the syntax, these are not morphologically realized in spoken languages. But they are in sign language, namely through locus assignment and pointing. We make two main claims on the basis of ASL and LSF data. First, sign language data favor dynamic over E-type theories: in those cases in which the two approaches make conflicting predictions about possible patterns of coindexation, dynamic analyses are at an advantage. Second, among dynamic theories, sign language data favor recent ones because the very same formal mechanism is used irrespective of the indefinite or non-indefinite nature of the antecedent. Going beyond this debate, we argue that dynamic theories should allow pronouns to be bound across negative expressions, as long as the pronoun is presupposed to have a non-empty denotation. Finally, an appendix displays and explains subtle differences between overt sign language pronouns and all other pronouns in examples involving ‘disjunctive antecedents’, and suggests that counterparts of sign language loci might be found in spoken language. (shrink)

Unbound anaphoric pronouns or ‘E-type pronouns’ have presented notorious problems for semantic theory, leading to the development of dynamic semantics, where the primary function of a sentence is not considered that of expressing a proposition that may act as the object of propositional attitudes, but rather that of changing the current information state. The older, ‘E-type’ account of unbound anaphora leaves the traditional notion of proposition intact and takes the unbound anaphor to be replaced by a full NP whose semantics (...) is assumed to be known (e.g. a definite description). In this paper, I argue that there are serious problems with any version of the E-type account as well as the (original form of the) dynamic account. I will explore a new account based on structured propositions, which can be considered a conservative extension of a traditional proposition-based semantics, but which at the same time incorporates some crucial insights of the dynamic account. (shrink)

We argue that definite noun phrases give rise to uniqueness inferences characterized by a pattern we call definiteness projection. Definiteness projection says that the uniqueness inference of a definite projects out unless there is an indefinite antecedent in a position that filters presuppositions. We argue that definiteness projection poses a serious puzzle for e-type theories of (in)definites; on such theories, indefinites should filter existence presuppositions but not uniqueness presuppositions. We argue that definiteness projection also poses challenges for dynamic approaches, which (...) have trouble generating uniqueness inferences and predicting some filtering behavior, though unlike the challenge for e-type theories, these challenges have mostly been noted in the literature, albeit in a piecemeal way. Our central aim, however, is not to argue for or against a particular view, but rather to formulate and motivate a generalization about definiteness which any adequate theory must account for. (shrink)

Donkey sentences have existential and universal readings, but they are not often perceived as ambiguous. We extend the pragmatic theory of nonmaximality in plural definites by Križ (2016) to explain how context disambiguates donkey sentences. We propose that the denotations of such sentences produce truth-value gaps — in certain scenarios the sentences are neither true nor false — and demonstrate that Križ’s pragmatic theory fills these gaps to generate the standard judgments of the literature. Building on Muskens’s (1996) Compositional Discourse (...) Representation Theory and on ideas from supervaluation semantics, the semantic analysis defines a general schema for quantification that delivers the required truth-value gaps. Given the independently motivated pragmatic theory of Križ 2016, we argue that mixed readings of donkey sentences require neither plural information states, contra Brasoveanu 2008, 2010, nor error states, contra Champollion 2016, nor singular donkey pronouns with plural referents, contra Krifka 1996, Yoon 1996. We also show that the pragmatic account improves over alternatives like Kanazawa 1994 that attribute the readings of donkey sentences to the monotonicity properties of the embedding quantifier. (shrink)

I argues that quantificational adverbs are unselective binders over individuals. The Lewisian analysis, however, fails to recognize the ambiguity in some quantificationally modified conditionals. That the Lewisian approach cannot predict some attested reading is known as the “proportion problem.” I propose a solution based on the following ideas: (a) quantificational adverbs bind selectively; (b) a singular indefinite and its anaphoric pronoun may introduce a plural discourse referent, and (c) plural predication is elusive.