Mandarin Chinese exhibits two paradigms of conditionals with indefinite wh-words that have the semantics of donkey sentences, represented by ‘bare conditionals’ on the one hand and ruguo- and dou-conditionals on the other. The bare conditionals require multiple occurrences of wh-words, disallowing the use of overt or covert anaphoric elements in the consequent clause, whereas the ruguo- and dou-conditionals present a completely opposite pattern. We argue that the bare conditionals are cases of unselective binding par excellence (Heim 1982, Kamp 1981) while (...) the ruguo- and dou-conditionals are most naturally accounted for with the traditional E-type pronoun strategy of Evans (1980). We thus argue partly for a return to the E-type strategy (along with Heim 1990) but maintain the need for unselective binding in UG (cf. Kratzer 1989, Chierchia 1992). It is further shown that these two paradigms do not differ with respect to the proportion problem and the distribution of symmetric and asymmetric readings of Kadmon (1987), though they differ with respect to ∀ and ∃ readings (discussed in Chierchia 1992) in a non-trivial way that provides further support for the proposed approach. Finally, evidence is given that the bare conditionals should be kept apart from correlative constructions in languages like Hindi, and treated differently from the latter. (shrink)

This paper examines a type of discourse structure we here call ‘generic passages’. We argue that generic passages should be analyzed as sequences of generic sentences, each sentence containing its own GEN operator (Krifka et al. 1995). The GEN operators produce tripartite matrix/restrictor structures; the main discourse connection among the sentences is that the restrictor produced by each sentence in the sequence has as its contents the information in the matrix produced by the previous sentence in the discourse. We also (...) argue that an identity of reference times is required for this process to occur. In the end generic passages are a natural product of the interaction of generic operators in sentences with independently- established principles structuring ordinary extensional narrative. (shrink)

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)

I outline a discourse-based account of presuppositions that relies on insights from the writings of Peter Strawson, as well as on insights from more recent work by Robert Stalnaker and Barbara Abbott. One of the key elements of my account is the idea that presuppositions are “assertorically inert”, in the sense that they are background propositions, rather than being part of the “at issue” or asserted content. Strawson is often assumed to have defended the view that the falsity of a (...) presupposition leads to catastrophe, in the sense that a false presupposition “wrecks the assertive enterprise”. I argue that the discourse-based account in terms of assertoric inertia can explain how cases of presupposition failure can sometimes be non-catastrophic; there are cases in which the assertive enterprise operates smoothly, despite presupposition failure. The chief problem facing this line of argument is to account for cases in which presupposition failure is catastrophic. If presuppositions are assertorically inert, then how can their falsity ever wreck the assertive enterprise? I offer a principled account that delineates the circumstances in which false presuppositions are, and those in which they are not, catastrophic. (shrink)

Most studies of the so-called proportion problem seek to understand how lexical and structural properties of sentences containing adverbial quantifiers give rise to various proportional readings. This paper explores a related but distinct problem: given a use of a particular sentence in context, why do only some of the expected proportional readings seem to be available? That is, why do some sentences allow an asymmetric reading when other, structurally similar sentences seem to require a symmetric reading? Potential factors suggested in (...) the literature include the distribution of donkey pronouns, certain uniqueness implications, and focus structures. I argue here that the use of an adverbial quantifier presupposes HOMOGENEITY: all individual situations that get lumped into a single case for the purposes of evaluating the quantification must agree on whether they satisfy the nuclear scope. For instance, in order for a token of Usually, if a farmer owns a donkey, he beats it to be felicitous when construed under a farmer-dominant asymmetric reading, the context must be consistent with the proposition that each farmer either beats all or none of his donkeys. Thus proportional sentences are indeed systematically ambiguous, but only some readings will be felicitous in a given context. (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)

This paper introduces an interesting class of predicates that come in pairs, so-called total and partial predicates. It will be shown that such predicates contribute to an explanation for the weak and strong interpretations of donkey sentences. This paper proposes that the phenomenon of weak and strong interpretations is real, and that whether a sentence receives the weak or the strong interpretation depends on the predicate in the nuclear scope of the sentence. It also proposes that sum individuals are calculated (...) at some level before the nuclear scope of the sentence is processed. Once the sum individuals are calculated, it will be decided whether the nuclear scope is true of at least one element of the sum individual (weak interpretation) or true of all elements of the sum individual (strong interpretation). (shrink)

This paper arose from an attempt to determine how the very late medieval1 supposition theorists treated anaphoric pronouns, pronouns whose significance is derivative from their antecedents. Modern researches into pronouns were stimulated in part by the problem of "donkey sentences" discussed by Geach 1962 in a section explaining what is wrong with medieval supposition theory. So there is some interest in seeing exactly what the medieval account comes to, especially if it turns out, as I suspect, to work as well (...) as contemporary ones. Besides, finding a good analysis of pronouns has proved to be very difficult, and so we might possibly find some insight in a historically different kind of approach. I discuss a version of supposition theory that aims at producing analyses of sentences containing quantified terms,2 as articulated around 1400 by Paul of Venice, and as further developed by certain logicians such as de Soto and Celaya in the 1400's and early 1500's.3 Much of what I will say also applies indirectly to earlier versions of supposition theory (before 1400). (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)

In this paper, I show that the availability of what some authors have called the weak reading and the strong reading of donkey sentences with relative clauses is systematically related to monotonicity properties of the determiner. The correlation is different from what has been observed in the literature in that it concerns not only right monotonicity, but also left monotonicity (persistence/antipersistence). I claim that the reading selected by a donkey sentence with a double monotone determiner is in fact the one (...) that validates inference based on the left monotonicity of the determiner. This accounts for the lack of strong reading in donkey sentences with MON determiners, which have been neglected in the literature. I consider the relevance of other natural forms of inference as well, but also suggest how monotonicity inference might play a central role in the actual process of interpretation. The formal theory is couched in dynamic predicate logic with generalized quantifiers. (shrink)

This paper argues for the reality of specificity as noteworthiness, a concept built upon Fodor and Sag’s (1982) view of referentiality. Support for this view of specificity comes from the behavior of indefinite this in spoken English, as well as from specificity markers in Samoan, Hebrew, and Sissala. It is shown that the conditions on the use of this-indefinites cannot be accounted for by previous analyses of specificity. The relationship between definiteness and specificity in article systems crosslinguistically is examined, and (...) a distinction between presuppositions and felicity conditions is argued for. Additional evidence for the reality of specificity comes from a study of article choice in the English of adult second language learners (whose L1s, Russian and Korean, lack articles). It is shown that the learners’ errors are tied to specificity: they consist largely of overuse of the in specific indefinite contexts, and overuse of a in non-specific definite contexts. It is concluded that specificity is a universal semantic distinction, which receives morphological expression crosslinguistically and is available to second language learners. (shrink)

In this essay, we propose that Peirce’s Existential Graphs can derive the desired uniqueness implication (or in a weaker claim, the definite description readings) of donkey pronouns in conjunctive discourse (A man walks in the park. He whistles), without postulating a separate category of E-type pronouns.

In this paper I present experimental data showing that the interpretation of donkey sentences is influenced by certain aspects of world knowledge that seem to elude introspective observation, which I try to explain by reference to a scale ranging from prototypical individuals (like children) to quite marginal ones (such as railway lines). This ontological cline interacts with the semantics of donkey sentences: as suggested already by the anecdotal data on which much of the literature is based, the effect of world (...) knowledge is by and large restricted to donkey sentences with non-intersective determiners. I outline a psychological model which incorporates both ontological and logical factors, and suggest that there may be something wrong with the standard assumption that a statement's receiving a truth value requires that it have a definite reading. (shrink)

Situation semantics was developed as an alternative to possible worlds semantics. In situation semantics, linguistic expressions are evaluated with respect to partial, rather than complete, worlds. There is no consensus about what situations are, just as there is no consensus about what possible worlds or events are. According to some, situations are structured entities consisting of relations and individuals standing in those relations. According to others, situations are particulars. In spite of unresolved foundational issues, the partiality provided by situation semantics (...) has led to some genuinely new approaches to a variety of phenomena in natural language semantics. In the way of illustration, this article includes relatively detailed overviews of a few selected areas where situation semantics has been successful: implicit quantifier domain restrictions, donkey pronouns, and exhaustive interpretations. It moreover addresses the question of how Davidsonian event semantics can be embedded in a semantics based on situations. Other areas where a situation semantics perspective has led to progress include attitude ascriptions, questions, tense, aspect, nominalizations, implicit arguments, point of view, counterfactual conditionals, and discourse relations. (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)

We discuss presupposition, the phenomenon whereby speakers mark linguistically the information that is presupposed or taken for granted, rather than being part of the main propositional content of a speech act. Expressions and constructions carrying presuppositions are called “presupposition triggers”, forming a large class including definites and factive verbs. The article first introduces the range of triggers, the basic properties of presuppositions such as projection and cancellability, and the diagnostic tests used to identify them. The reader is then introducedto major (...) models of presupposition from the last 50 years, separated into three classes: Frege-Strawson derived semantic models, pragmaticmodels such as that offered by Stalnaker, and dynamic models. Finallywe discuss some of the main current issues in presupposition theory. These involve accommodation, which occurs when a hearer's knowledge state is adjusted to meet the speaker's presuppositions; presupposition failure, which occurs when a presupposition is false; the interaction between presuppositions and attitudes; and the triggering problem, i.e., the problem of explaining why presuppositions occur in the first place. (shrink)

This dissertation investigates the ways in which natural language restricts the domains of quantifiers. Adverbs of quantification are analyzed as quantifying over situations. The domain of quantifiers is pragmatically constrained: apparent processes of "semantic partition" are treated as pragmatic epiphenomena. The introductory Chapter 1 sketches some of the background of work on natural language quantification and begins the analysis of adverbial quantification over situations. Chapter 2 develops the central picture of "semantic partition" as a side-effect of pragmatic processes of anaphora (...) resolution. I argue that the apparent effects of topic/focus articulation and presuppositional information on the interpretation of quantifiers are not the result of a direct and local mechanism of sentence grammar. Instead, I develop an analysis where the link is established via the anaphoric dependence of quantifier domains on the discourse context. Chapter 3 discusses the analysis of conditional clauses as quantifier restrictors, concentrating on the question whether conditional clauses restrict quantifiers directly or indirectly. A treatment is explored which has if-clauses constrain the value of the hidden domain variable of the restricted quantifier. Chapter 4, on unless-clauses, and Chapter 5, on only if- and even if-clauses, present some issues in the compositional analysis of complex conditional clauses. These chapters significantly expand the data coverage of the theory of A-quantification. Building on previous work of mine on exceptives, I analyze unless-clauses as exceptive operators on A-quantifiers. The analysis of only if-clauses, treated as conditional clauses that combine if with the focus adverb only, unearthes some interesting new properties. Chapter 6, finally, examines the phenomenon of donkey-anaphora in the light of the results of the previous chapters. I show that a solution to the proportion problem may become possible once we combine the situation-semantic approach to adverbial quantification with the pragmatic theory developed in Chapter 2 and further elaborated in the analysis of donkey anaphora in complex conditionals. (shrink)

Partee (1973) noted anaphoric parallels between English tenses and pronouns. Since then these parallels have been analyzed in terms of type-neutral principles of discourse anaphora. Recently, Stone (1997) extended the anaphoric parallel to English modals. In this paper I extend the story to languages of other types. This evidence also shows that centering parallels are even more detailed than previously recognized. Based on this evidence, I propose a semantic representation language (Logic of Change with Centered Worlds), in which the observed (...) parallels can be formally analyzed. (shrink)

In this paper, I shall explore a determiner in natural language which is ambivalent as to whether it should be classified as quantificational or objectdenoting: the determiner both. Both in many ways appears to be a paradigmatic quantifier; and yet, I shall argue, it can be interpreted as having an individual—an object—as semantic value. To show the significance of this, I shall discuss two ways of thinking about quantifiers. We often think about quantifiers via intuitions about kinds of thoughts. Certain (...) terms are naturally used to express singular thoughts, and appear to do so by contributing objects to the thoughts expressed. Other terms are naturally used to express general thoughts, and appear to do so by contributing higher-order properties to the thoughts expressed. Viewed this way, the main condition on whether a term is a quantifier or not is whether its semantic value is an object or a higher-order property. At least, these provide necessary conditions. Both can be interpreted as contributing objects to thoughts, and in many cases appears to express genuine singular thoughts. Thinking about quantifiers this way, both can appear object-denoting and non-quantificational. We also often think about quantifiers in terms of a range linguistic features, including semantic value, presupposition, scope, binding, syntactic distribution, and many others. Viewed this way, I shall argue, both can appear quantificational. In particular, it displays scope behavior that is one of the hallmarks of quantification. But, I shall show, it can do so even if given a semantics on which it denotes an object. Thus, both appears quantificational by some linguistic standards, and yet appears object-denoting by standards based on intuitions about the kinds.. (shrink)

§§3-4 of the Begriffsschrift present Frege’s objections to a dominant if murky nineteenth-century semantic picture. I sketch a minimalist variant of the pre-Fregean picture which escapes Frege’s criticisms by positing a thin notion of semantic content which then interacts with a multiplicity of kinds of truth to account for phenomena such as modality. After exploring several ways in which we can understand the existence of multiple truth properties, I discuss the roles of pointwise and setwise truth properties in modal logic. (...) I argue that thinking of supertruth and determinate truth as setwise truth properties allows an understanding of supervaluationist approaches to vagueness which escapes both Williamson’s objections to and a needless metalinguistic orientation of traditional supervaluationism. (shrink)

paper, abstract, revised handout, original handoutto appear in the Proceedings of Sinn und Bedeutung 12 (Oslo, 2007). The paper argues that the variability of the uniqueness effects exhibited by Hindi and Romanian correlatives is due to their mixed referential and quantificational nature. The account involves an articulated notion of quantification, independently motivated by donkey anaphora and quantificational subordination and consisting of both (discourse) referential components and non-referential components (dynamic operators over plural info states). The variable uniqueness effects emerge out of (...) the interaction between: (i) the semantics of wh-indefinites, singular anaphors and habitual morphology and (ii) the pragmatics of quantification, which allows for the selection of different levels of ‘zoom-in’ on the quantified-over objects. (shrink)