Inquiry into the meaning of logical terms in natural language (‘and’, ‘or’, ‘not’, ‘if’) has generally proceeded along two dimensions. On the one hand, semantic theories aim to predict native speaker intuitions about the natural language sentences involving those logical terms. On the other hand, logical theories explore the formal properties of the translations of those terms into formal languages. Sometimes, these two lines of inquiry appear to be in tension: for instance, our best logical investigation into conditional connectives may (...) show that there is no conditional operator that has all the properties native speaker intuitions suggest if has. Indicative conditionals have famously been the source of one such tension, ever since the triviality proofs of both Lewis (1976) and Gibbard (1981) established conclusions which are in prima facie tension with ordinary judgments about natural language indicative conditionals. In a recent series of papers, Branden Fitelson has strengthened both triviality results (Fitelson 2013, 2015, 2016), revealing a common culprit: a logical schema known as IMPORT-EXPORT. Fitelson’s results focus the tension between the logical results and ordinary judgments, since IMPORT-EXPORT seems to be supported by intuitions about natural language. In this paper, we argue that the intuitions which have been taken to support IMPORT-EXPORT are really evidence for a closely related, but subtly different, principle. We show that the two principles are independent by showing how, given a standard assumption about the conditional operator in the formal language in which IMPORT-EXPORT is stated, many existing theories of indicative conditionals validate one, but not the other. Moreover, we argue that once we clearly distinguish these principles, we can use propositional anaphora to show that IMPORT-EXPORT is in fact not valid for natural language indicative conditionals (given this assumption about the formal conditional operator). This gives us a principled and independently motivated way of rejecting a crucial premise in many triviality results, while still making sense of the speaker intuitions which appeared to motivate that premise. We suggest that this strategy has broad application and an important lesson: in theorizing about the logic of natural language, we must pay careful attention to the translation between the formal languages in which logical results are typically proved, and natural languages which are the subject matter of semantic theory. (shrink)

This paper investigates the way that linguistic expressions influence vagueness, focusing on the interpretation of the positive (unmarked) form of gradable adjectives. I begin by developing a semantic analysis of the positive form of ‘relative’ gradable adjectives, expanding on previous proposals by further motivating a semantic basis for vagueness and by precisely identifying and characterizing the division of labor between the compositional and contextual aspects of its interpretation. I then introduce a challenge to the analysis from the class of ‘absolute’ (...) gradable adjectives: adjectives that are demonstrably gradable, but which have positive forms that relate objects to maximal or minimal degrees, and do not give rise to vagueness. I argue that the truth conditional difference between relative and absolute adjectives in the positive form stems from the interaction of lexical semantic properties of gradable adjectives—the structure of the scales they use—and a general constraint on interpretive economy that requires truth conditions to be computed on the basis of conventional meaning to the extent possible, allowing for context dependent truth conditions only as a last resort. (shrink)

This paper revisits intervention effects in Mandarin Chinese why-questions. I present a novel empirical generalization, in which it is shown that the ability for quantifiers to induce intervention hinges upon their monotonicity and their ability to be interpreted as topics. I then propose a semantic account of intervention that correlates topicality with the monotone properties of intervening operators. A crucial assumption in this account is that why-questions in Chinese are idiosyncratic, in that the Chinese equivalent of why directly merges at (...) a high scope position that stays above a propositional argument. Combining the semantic idiosyncrasies of why-questions with the theory of topicality, I conclude that a wide range of intervention phenomena can be explained in terms of interpretation failure. (shrink)

This paper deals with a series of semantic contrasts between the copula be and the preposition as, two functional elements that both head elementary predication structures. It will be argued that the meaning of as is a type lowering device shifting the meaning of its complement NP from the type of generalized quantifiers to the type of properties (where properties are conceived as relations between individuals and situations), while the copula be induces a type coercion from (partial) situations to (total) (...) possible worlds. Paired with van der Sandt's (1992) theory of presupposition accommodation, these assumptions will account for the observed contrasts between as and be. (shrink)

The goal of this paper is to offer a compositional semantics for subjunctive and indicative will conditionals, and to derive the projection properties of the types of conditionals we consider and in particular those of counterfactual conditionals. It is argued that subjunctive conditionals are "bare" conditional embedded under temporal and aspectural operators, which constrain the interpretation of the modal operators in the embedded conditional. Furthermore, it is argued that a theory of presupposition projection à la Heim together with the present (...) proposal about their logical form explains the projection facts. (shrink)

This paper addresses the question of whether the appearance ofthen in a conditional construction has any effect on the meaning of the sentence as a whole. It will be suggested thatthen does make a contribution by way of a particular presupposition associated with it. This also results inthen sometimes conflicting with the intended meaning of the sentence; in such cases its appearance is precluded. Certain aspects of the syntax ofthen will be discussed in parallel.

Proportional quantification and progressive aspect interact in English in revealing ways. This paper investigates these interactions and draws conclusions about the semantics of the progressive and telicity. In the scope of the progressive, the proportion named by a proportionality quantifier (e.g. most in The software was detecting most errors) must hold in every subevent of the event so described, indicating that a predicate in the scope of the progressive is interpreted as an internally homogeneous activity. Such an activity interpretation is (...) argued to be available for telic predicates (e.g. cross the street) because these receive a partitive interpretation except in combination with a completive operator, which asserts that the event so described has culminated. The obligatoriness of the completive operator in the preterit is shown to parametrically distinguish those languages that show completion entailments in the preterit, e.g. English, from those that do not, e.g. Malagasy, Hindi, and Japanese. (shrink)

This paper focuses on children’s interpretation of sentences containing negation and a quantifier (e.g., The detective didn’t find some guys). Recent studies suggest that, although children are capable of accessing inverse scope interpretations of such sentences, they resort to surface scope to a larger extent than adults. To account for children’s behavioral pattern, we propose a new factor at play in Truth Value Judgment tasks: the Question–Answer Requirement (QAR). According to the QAR, children (and adults) must interpret the target sentence (...) that they evaluate as an answer to a question that is made salient by the discourse. (shrink)

This paper examines aspectual be–type constructions in African American English. These constructions receive a habitual interpretation, but they are distinguished from simple tense generics in that they are not ambiguous between generic/habitual and capacity readings. The analysis proposed to account for these constructions is one in which aspectual be neutralizes the distinction between stage- and individual-level predicates. Following Kratzer (1995), I assume that stage-level predicates have a separate event argument associated with them, but individual-level predicates do not. Aspectual be forces (...) individual-level predicates to take an eventuality argument which coerces them into stage-level predicates. The logical representations of these constructions are given a tripartite structure in which a habitual operator binds variables ranging over eventualities.The analysis can be extended to account for constructions in which permanently stable entities indicated by bare plural subjects occur with be–type predicates. The solution proposed here accounts for some well-known properties of aspectual be that have not been discussed in the literature. (shrink)

In “Descriptions as Predicates” (Fara 2001) I argued that definite and indefinite descriptions should be given a uniform semantic treatment as predicates rather than as quantifier phrases. The aim of the current paper is to clarify and elaborate one of the arguments for the descriptions-aspredicates view, one that concerns the interaction of descriptions with adverbs of quantification.

In this paper, I discuss the distribution and interpretation of free choice items (FCIs) in Greek, a language exhibiting a lexical paradigm of such items distinct from that of negative polarity items. Greek differs in this respect from English, which uniformly employs any. FCIs are grammatical only in certain contexts that can be characterized as nonveridical (Giannakidou 1998, 1999), and although they yield universal-like interpretations in certain structures, they are not, I argue, universal quantifiers. Evidence will be provided that FCIsare (...) indefinites; the quasi-universal effect is shown to be the result of binding by an operator with universal force. Additionally, the limited distribution of FCIs in non veridical contexts can be accounted for by analyzing them as indefinites which must always be interpreted in an intensional type. The difference between ``regular'' indefinites and FCIs, therefore, is reduced to a type difference which captures the fact that only the latter exhibit limited distribution: because of their intensional type, FCIs will be grammatical only in contexts providing alternatives (worlds or situations), and nonveridical contexts do exactly this. By contrast, FCIs are excluded from veridical and episodic contexts because these provide no alternatives and hence do not satisfy the lexical semantic requirement ofFCIs. The proposed analysis is supported by data from other languages as well (Spanish, Catalan,French) and has important consequences regarding the analysis of English any. If FCIs are not universal quantifiers but indefinites, then the usual ambiguity thesis (free choice any being universal, negative polarity any an existential) can no longer be maintained, at least not as one in terms of quantificational force. (shrink)

This paper addresses two puzzles in the semantics of connected exceptive phrases (EP): (i) the compatibility of EPs modifying noun phrases headed by the negative polarity item (NPI) determiner any and (ii) the ability of a negative universal quantifier modified by an EP to license strong NPIs. Previous analyses of EPs are shown to fail to solve these puzzles. A new unified solution to the two puzzles is proposed. The crucial insight of the analysis is to allow von Fintel’s (Natural (...) Language Semantics 1: 123–148, 1993; Restrictions on quantifier domains, PhD dissertation, 1994) leastness condition on EPs to be imposed at scopes non-local to the surface position of the EP. A general result is derived concerning the truth conditions of sentences in which an existential modified by an EP occurs in the scope of a downward entailing operator. The distribution of EPs is argued to depend on how the leastness condition interacts with other pragmatic strengthening conditions, such as the one imposed on any by Kadmon and Landman (Linguistics and Philosophy 16: 353–422, 1993). (shrink)

The notion of measurement plays a central role in human cognition. We measure people’s height, the weight of physical objects, the length of stretches of time, or the size of various collections of individuals. Measurements of height, weight, and the like are commonly thought of as mappings between objects and dense scales, while measurements of collections of individuals, as implemented for instance in counting, are assumed to involve discrete scales. It is also commonly assumed that natural language makes use of (...) both types of scales and subsequently distinguishes between two types of measurements. This paper argues against the latter assumption. It argues that natural language semantics treats all measurements uniformly as mappings from objects (individuals or collections of individuals) to dense scales, hence the Universal Density of Measurement (UDM). If the arguments are successful, there are a variety of consequences for semantics and pragmatics, and more generally for the place of the linguistic system within an overall architecture of cognition. (shrink)

We present an argument for revising the theory of alternatives for Scalar Implicatures and for Association with Focus. We argue that in both cases the alternatives are determined in the same way, as a contextual restriction of the focus value of the sentence, which, in turn, is defined in structure-sensitive terms. We provide evidence that contextual restriction is subject to a constraint that prevents it from discriminating between alternatives when they stand in a particular logical relationship with the assertion or (...) the prejacent, a relationship that we refer to as symmetry. Due to this constraint on contextual restriction, discriminating between alternatives in cases of symmetry becomes the task of focus values. This conclusion is incompatible with standard type-theoretic definitions of focus values, motivating our structure-sensitive definition instead. (shrink)

In Shona , bare plurals and bare singulars seem to have different scope possibilities with respect to a class of modifiers which I term “scopeless quantity words” few’, and ose ‘all’). I argue that this is due to two factors. First, the scopeless quantity words are intersective modifiers rather than quantifying determiners, so that DPs containing them denote entities rather than generalised quantifiers. Second, transitive sentences involving plural arguments are usually interpreted using the **-operator, which gives a cumulative reading; the (...) apparent wide and narrow scope readings of bare plurals are both subcases of this reading, but a narrow scope reading for bare singulars cannot be subsumed by the cumulative reading. I also discuss the scope behaviour of a quantifying determiner, oga-oga ‘every’, which shows a subject/object asymmetry: in subject position, it appears to show the expected scopal ambiguity, but in object position, it appears to have the same readings as a scopeless quantity word; I argue that this is because of the location of existential closure. This adds to the evidence suggesting that many words giving quantity are intersective modifiers rather than quantifying determiners or adverbial quantifiers. (shrink)

Two theories of implicit domain restriction have gained considerable prominence over the last two decades. According to von Fintel (Restrictions on quantifier domaines, Ph.D. thesis, University of Massachusetts at Amherst, 1994), quantifiers come with covert restrictors and, as a result of this, induce domain restriction; according to Stanley [in Gerhard and Peter (eds) Logical form and language, Clarendon Press, Oxford, 2002; Stanley and Szabó (Mind Lang 15(2–3):2192–2161, 2000)], by contrast, nouns, as opposed to quantifiers, come with covert restrictors. In this (...) article, I do three things. First, I assess the arguments that have been given for and against these two accounts and show that none of them is conclusive. Second, I advance a novel empirical argument based on the observed pragmatic behaviour of bare nouns, an argument that falsifies Stanley’s theory while providing clear evidence in support of von Fintel’s (1994). Finally, I discuss the relevance of the bare noun data in the context of another important debate—namely, whether domain restriction is a local mechanism only, or whether it can also be achieved by global means. (shrink)

People’s moral judgments affect their judgments of intentionality for actions that succeeded by luck. This article aimed to explain that phenomenon by suggesting that people’s judgments of intentionality are driven by the underlying questions they have considered. We examined two types of questions: questions about why people act, and questions about how they succeed in acting. In a series of experiments, we found that people prefer different questions for neutral and immoral actions (Studies 1 and 2) and that asking them (...) to think about questions they would not have preferred can change their judgments of intentionality (Study 3). These experiments suggest that neutral actions are judged to be less intentional simply because they do not motivate observers to ask questions which draw attention to the actor’s mental states. We discuss the potential application of this framework to other concepts affected by morality in surprising ways, such as causality. (shrink)

In some utterances, some material does not seem to be explicitly expressed in words, but nevertheless seems to be part of the literal content of the utterance rather than an implicature. I will call material of this kind implicit content. The following are some relevant examples from the literature. (1) Everyone was sick. (2) I haven’t eaten. (3) It’s raining. In the case of (1), we are supposed to have asked Stephen Neale how his dinner party went last night (Neale, (...) 1990, pp. 94–95) and received this as the reply. Obviously, we do not take Neale to be saying that everyone in the world was sick; we interpret him as saying that everyone who attended his dinner party was sick. How, then, do we come to incorporate the property of attending Neale’s dinner party into the proposition expressed, when it does not seem to be the denotation of any overt lexical items in the utterance? In uttering (2), I might be asserting that I have not eaten dinner today (Bach 1994, pp. 135–136), even though I do not use any audible words meaning ‘dinner’ or ‘today’. (I might thereby intend to create an implicature to the effect that we should go to a restaurant.) And in saying (3), I might be claiming that it is raining at 11.59pm on Halloween 2008 in Arkham, Massachusetts, even though I do not appear to mention any time or place (Perry 1986; Stanley 2000; Recanati 2002, 2004, 2007; Mart´ı 2006; Neale 2007). (shrink)

The implicit content associated with incomplete definite descriptions is contributed in the form of definite descriptions of situations. A definite description of this kind is contributed by a small structure in the syntax, which is interpreted, in general terms, as ‘the situation that bears R to s’.

Using a version of situation semantics, this article argues that bare and complex demonstratives are interpreted as individual concepts.

This paper argues that donkey pronouns should be construed as definite articles, followed by an NP sister which has undergone deletion in the phonology. So Every man who owns a donkey beats it is claimed to share a Logical Form with Every man who owns a donkey beats the donkey, which means the same. There is independent evidence for assimilating pronouns to determiners, and for NP-deletion; so this theory explains E-type anaphora without postulating any special entity (`E-type pronoun') for the (...) purpose. Since NP-deletion, like other ellipsis, requires an antecedent, this theory also explains the requirement for a "formal link" between donkey pronoun and antecedent, which standard E-type theories find difficult to account for. Other empirical advantages of this theory include its ability to explain the pattern of strict and sloppy identity displayed by donkey sentences with phonologically reduced continuations. It is shown that Bach-Peters sentences, quantificational subordination, and paycheck sentences can also be dealt with on the present approach. (shrink)

In this paper, we discuss the fact that not only adverbially quantified sentences with singular indefinites or bare plurals but also ones containing plural definites show Quantificational Variability Effects, that is, they receive readings according to which the quantificational force of the respective DP seems to depend on the quantificational force of the Q-adverb. We show that if the Q-adverb is a frequency adverb like usually, there is strong evidence that QVEs come about as indirect effects of a quantification over (...) situations. This conclusion is based on the fact that in such cases the availability of QVEs is constrained in ways that have no parallel in sentences containing adverbs of quantity like for the most part or quantificational DPs instead of frequency adverbs. We show that these constraints can be derived from plausible assumptions about how the situations to be quantified over are constrained: they have to be located in time on the basis of the most specific locally available information, and their running times are not allowed to overlap. (shrink)

We bring out syntactic and semantic similarities of two types of conditionals with fronted antecedents [normal indicative conditionals and biscuit conditionals ] and two types of left dislocation constructions in German, which mark two types of topicality. On the basis of these similarities we argue that NCs and BCs are aboutness topics and relevance topics, respectively. Our analysis extends the approach to aboutness topicality of Endriss to relevance topics to derive the semantic and pragmatic contribution of left-dislocated DPs and applies (...) it to an analysis of conditionals as pluralities of possible worlds. We show how this uniform approach to the interpretation of topicality accounts for the nominal left dislocation constructions as well as for the semantic and pragmatic effects observed in connection with the two types of conditionals. We furthermore discuss the potential of our proposal to deal with subjunctive biscuit conditionals, if-clauses modifying speech acts different from assertions, conditionals with right-dislocated if-clauses, and nested conditionals. (shrink)

I provide arguments in favor of an implicature approach to Homogeneity where the basic meaning of the kids laughed is some of the kids laughed, and its strengthened meaning is all of the kids laughed. The arguments come from asymmetries between positive and negatives sentences containing definite plurals with respect to children’s behavior, the availability of Non-maximal readings, and the robustness of neither-true-nor-false judgments :205–248, 2015). I propose to avoid some problems of Magri’s analysis by modeling the Implicature account of (...) Homogeneity after the Implicature account of Free Choice, based on a hitherto unnoticed analogy between the two phenomena. The approach that emerges has the advantages of Magri’s implicature account of Homogeneity, while at the same time bears a close resemblance to recent approaches to Non-maximality :1–58. https://doi.org/10.3765/sp.5.3, 2012; Križ and Spector in Interpreting plural predication: homogeneity and non-maximality, Ms., Institut Jean Nicod, 2017), which enables restating their account of Non-maximality as following from the context-sensitivity of implicature calculation. (shrink)

With this paper I aim to demonstrate that a look beyond the Aristotelian square of opposition, and a related non-conservative view on logical determiners, contributes to both the understanding of Aristotelian syllogistics as well as to the study of quantificational structures in natural language.

The primary theoretical focus of this paper is on Free Choice uses of any, in particular on two phenomena that have remained largely unstudied. One involves the ability of any phrases to occur in affirmative episodic statements when aided by suitable noun modifiers. The other involves the difference between modals of necessity and possibility with respect to licensing of any. The central thesis advanced here is that FC any is a universal determiner whose domain of quantification is not a set (...) of particular individuals but the set of possible individuals of the relevant kind. In a theory of genericity utilizing situations, an any phrase can be seen as having a universal quantifier binding the situation variable of the common noun. This inherent genericity is argued to be at the heart of the intuition that any statements support counterfactual inferences and do not involve existential commitments. A conflict in presuppositions is shown to account for the incompatibility of unmodified any phrases in affirmative episodic statements and the crucial role played by modification in ameliorating this clash is explicated. In the case of modals of necessity, the interaction between the universal force of any and the particular modal base is shown to be crucial. In view of these facts it is argued that FC any is not directly licensed by modal or generic operators as generally assumed but that its felicitous use is sensitive to the pragmatics of epistemic modality. Turning to its polarity sensitive uses, language internal as well as crosslinguistic evidence is presented to distinguish it from FC any in having the existential quantificational force typical of indefinites. The paper concludes by suggesting that the common tie between them is that they both occur in statements that apply to a class of entities, rather than to particular members of the class. (shrink)

Variabilism is the view that proper names (like pronouns) are semantically represented as variables. Referential names, like referential pronouns, are assigned their referents by a contextual variable assignment (Kaplan 1989). The reference parameter (like the world of evaluation) may also be shifted by operators in the representation language. Indeed verbs that create hyperintensional contexts, like ‘think’, are treated as operators that simultaneously shift the world and assignment parameters. By contrast, metaphysical modal operators shift the world of assessment only. Names, being (...) variables, refer rigidly in the latter merely intensional contexts, but may vary their reference in hyperintensional contexts. This conforms to the intuition that the content of attitude ascriptions encapsulates referential uncertainty. Furthermore, names in hyperintensional contexts are ambiguous between de re* and de dicto* interpretations. This fact is used to account for asymmetric mistaken identity attributions (for example, Biron thinks Katherine is Rosaline, but he doesn’t think Rosaline is Katherine). -/- The variable theory compares favourably with its alternatives, including Millianism and descriptivism. Millians cannot account for the behaviour of names in hyperintensional contexts, while descriptivists cannot generate a necessary contrast between intensional and hyperintensional contexts. No other theory can capture the facts pertaining to the existentially bound use of names. (shrink)

This paper provides a semantic analysis of English rise-fall-rise (RFR) intonation as a focus quantifier over assertable alternative propositions. I locate RFR meaning in the conventional implicature dimension, and propose that its effect is calculated late within a dynamic model. With a minimum of machinery, this account captures disambiguation and scalar effects, as well as interactions with other focus operators like ‘only’ and clefts. Double focus data further support the analysis, and lead to a rejection of Ward and Hirschberg’s (Language (...) 61:747–776, 1985) claim that RFR never disambiguates. Finally, I draw out connections between RFR and contrastive topic (CT) intonation (Büring, Linguist Philos 26:511–545, 2003), and show that RFR cannot simply be reduced to a sub-case of CT. (shrink)

The view that if-clauses function semantically as restrictors is widely regarded as the only candidate for a fully general account of conditionals. The standard implementation of this view assumes that, where no operator to be restricted is in sight, if-clauses restrict covert epistemic modals. Stipulating such modals, however, lacks independent motivation and leads to wrong empirical predictions. In this paper I provide a theory of conditionals on which if-clauses are uniformly interpreted as restrictors, but no covert modals are postulated. Epistemic (...) if-clauses, like those in bare conditionals, restrict an information state parameter which is used to interpret an expressive layer of the language. I show that this theory yields an attractive account of bare and overtly modalized conditionals and solves various empirical problems for the standard view, while dispensing with its less plausible assumption. (shrink)

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)

Statements about the future are central in everyday conversation and reasoning. How should we understand their meaning? The received view among philosophers treats will as a tense: in ‘Cynthia will pass her exam’, will shifts the reference time forward. Linguists, however, have produced substantial evidence for the view that will is a modal, on a par with must and would. The different accounts are designed to satisfy different theoretical constraints, apparently pulling in opposite directions. We show that these constraints are (...) jointly satisfied by a novel modal account of will. On this account, will is a modal but doesn't work as a quantifier over worlds. Rather, the meaning of will involves a selection function similar to the one used by Stalnaker in his semantics for conditionals. The resulting theory yields a plausible semantics and logic for will and vindicates our intuitive views about the attitudes that rational agents should have towards future-directed contents. (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)

This paper argues for a particular semantic decomposition of morphological definiteness. I propose that the meaning of ‘the’ comprises two distinct compositional operations. The first builds a set of witnesses that satisfy the restricting noun phrase. The second tests this set for uniqueness. The motivation for decomposing the denotation of the definite determiner in this way comes from split-scope intervention effects. The two components—the selection of witnesses on the one hand and the counting of witnesses on the other—may take effect (...) at different points in the composition of a constituent, and this has non-trivial semantic consequences when other operators inside the DP take action in between them. In particular, I analyze well-known examples of mutually recursive definite descriptions like ‘the rabbit in the hat’ as examples of definites whose referent-introducing and referent-testing components are interleaved rather than nested. I further demonstrate that this picture leads to a new theory of relative superlative descriptions like ‘the kid who climbed the highest tree’, which explains the previously mysterious role of the definite determiner in licensing such readings. (shrink)

The paper revisits Sharvy's theory of plural definite descriptions. An alternative account of plural definite descriptions building on the ideas of plural quantification and non-distributive plural predication is developed. Finally, the alternative is extrapolated to account for generic uses of definite descriptions.

The paper proposes a novel solution to the problem of scope posed by natural language indefinites that captures both the difference in scopal freedom between indefinites and bona fide quantifiers and the syntactic sensitivity that the scope of indefinites does nevertheless exhibit. Following the main insight of choice functional approaches, we connect the special scopal properties of indefinites to the fact that their semantics can be stated in terms of choosing a suitable witness. This is in contrast to bona fide (...) quantifiers, the semantics of which crucially involves relations between sets of entities. We provide empirical arguments that this insight should not be captured by adding choice/Skolem functions to classical first-order logic, but in a semantics that follows Independence-Friendly Logic, in which scopal relations involving existentials are part of the recursive definition of truth and satisfaction. These scopal relations are resolved automatically as part of the interpretation of existentials. Additional support for this approach is provided by dependent indefinites, a cross-linguistically common class of special indefinites that can be straightforwardly analyzed in our semantic framework. (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)

Points of variation manifested by adjectives crosslinguistically have received much recent attention in the literature. This paper argues that one way in which adjectives may differ is in their projection of a degree argument position in the syntax. Under standard analyses of adjectival meaning, semantic transitivity implies syntactic transitivity. However, the Navajo data presented in this paper suggests that while all Navajo adjectives have a degree argument in their semantics, syntactic projection of the degree argument is only licensed by special (...) morphology on the adjective. (shrink)

This is the first part of a larger project that aims to develop a cross-categorical semantic account of a broad range of _as if_ constructions in English. In this paper, we focus on descriptive uses of _as if_ with regular truth-conditional content. The core proposal is that _as if_-phrases contribute hypothetical (_if_-like) and comparative (_as_-like) properties of situations, which are instantiated by an event, state, or larger situation when it resembles in some relevant respect its counterparts in selected stereotypical worlds (...) described by the clause embedded under _as if_. We motivate and develop this situation-semantic analysis in detail for examples like _Pedro danced as if he was possessed by demons_ where the modifying _as if_-adjunct is used to inferentially convey the manner of a reported activity. We extend this analysis to _as if_-complements of perception verbs in reports like _The soup tastes as if it contains fish sauce_, offering an alternative to conceptually problematic approaches that assimilate such perceptual resemblance reports to propositional attitude ascriptions. We also examine the predicative function of _as if_ in examples like _The state of the house is as if a tornado passed through it_ where the _as if_-phrase denotes a hypothetical comparative property of the nominal subject. (shrink)

This paper develops a semantic analysis of data like It is getting colder and colder. Their meaning is argued to arise from a combination of a comparative with pluractionality. The analysis is embedded in a general theory of plural predication and pluractionality. It supports a semantic theory involving a family of syntactic plural operators.

The paper provides a semantic analysis of intervention effects in wh-questions. The interpretation component of the grammar derives uninterpretability, hence ungrammaticality, of the intervention data. In the system of compositional interpretation that I suggest, wh-phrases play the same role as focused phrases, introducing alternatives into the computation. Unlike focus, wh-phrases make no ordinary semantic contribution. An intervention effect occurs whenever a focus-sensitive operator other than the question operator tries to evaluate a constituent containing a wh-phrase. It is argued that this (...) approach can capture the universal as well as the crosslinguistically variable aspects of intervention effects, in a way that is superior to previous approaches. Further consequences concern other focus-related constructions: multiple focus data, NPI licensing, and alternative questions. (shrink)

We discuss focus sensitivity in English, the phenomenon whereby interpretation of some expressions is affected by placement of intonational focus. We concentrate in particular on the interpretation of always and only, both of which are interpreted as universal quantifiers, and both of which are focus sensitive. Using both naturally occurring and constructed data we explore the interaction of these operators with negative polarity items, with presupposition, with prosodically reduced elements, and with syntactic extraction. On the basis of this data we (...) show that while only lexically encodes a dependency on the placement of focus, always does not. Rather, the focus sensitivity of always results from its dependency on context, and from the fact that focus also reflects what is given in the context. We account for this split using an analysis couched in event semantics. (shrink)

Differences in the interpretation of would-conditionals with simple (perfective) and perfect antecedent clauses are marked enough to discourage a unified view. However, this paper presents a unified, Lewis–Stalnaker style semantics for the modal in such constructions. Differences in the interpretation of the conditionals are derived from the interaction between the interpretation of different types of aspect and the modal. The paper makes a distinction between perfective and perfect aspect in terms of whether they make reference to or quantify over Lewis-style (...) events. In making reference to Lewis-events, perfective aspect is shown to be incompatible with counterfactual would-conditionals. The so-called ‘epistemic flavor’ of perfective conditionals about the future is derived from the use of diagonalization as an interpretive strategy called upon to resolve reference. (shrink)

This paper investigates the interpretation of counterfactual conditionals. The main goal of the paper is to provide an account of the semantic role of similarity in the evaluation of counterfactuals. The paper proposes an analysis according to which counterfactuals are treated as predications “ de re ” over past situations in the actual world. The relevant situations enter semantic composition via the interpretation of tense. Counterfactuals are treated as law-like conditionals with de re predication over particular facts. Similarity with respect (...) to particular facts is ensured by the semantics of tense in interaction with the modal, while the modal itself is responsible for invoking laws. In the paper, various arguments are provided to support a local view of similarity over the global approach found in semantics along the line of Lewis’s and Stalnaker’s. Arguments are also provided tying the evaluation of similarity to the interpretation of tense. Finally, arguments are provided to show that in key cases, the approaches make comparable predictions. (shrink)

In the last decade there has been a torrent of work at the intersection of philosophy and linguistics on predicates of personal taste, subjective expressions like fun and tasty that are used to express opinions rather than matters of fact. In each section of this paper I discuss a phenomenon that has been largely overlooked in the literature on PPTs. In Section 1, I identify a neglected experiential reading of these adjectives. All other theories of expressions like fun take them (...) to express some standing property, but distributional and compositional considerations suggest that the basic meaning of fun adjectives is experiential. In Section 2, I discuss the relation between fun claims relativized to particular experiencers and their unrelativized counterparts, arguing that previous theories fail to capture the evaluativity unique to the latter. Finally, I argue... (shrink)

The natural interpretation of counterfactuals with disjunctive antecedents involves selecting from each of the disjuncts the worlds that come closest to the world of evaluation. It has been long noticed that capturing this interpretation poses a problem for a minimal change semantics for counterfactuals, because selecting the closest worlds from each disjunct requires accessing the denotation of the disjuncts from the denotation of the disjunctive antecedent, which the standard boolean analysis of or does not allow (Creary and Hill, Philosophy of (...) Science 43:341–344, 1975; Nute, Journal of Philosophy 72:773–778, 1975; Fine, Mind 84(335):451–458, 1975; Ellis et al. Journal of Philosophical Logic 6:335–357, 1977). This paper argues that the failure to capture the natural interpretation of disjunctive counterfactuals provides no reason to abandon a minimal change semantics. It shows that the natural interpretation of disjunctive counterfactuals is expected once we refine our assumptions about the semantics of or and the logical form of conditionals, and (i) we assume that disjunctions introduce propositional alternatives in the semantic derivation, in line with independently motivated proposals about the semantics of or (Aloni, 2003a; Simons, Natural Language Semantics 13:271–316, 2005; Alonso-Ovalle, Disjunction in Alternative Semantics. PhD thesis, 2006); and (ii) we treat conditionals as correlative constructions, as advocated in von Fintel (1994), Izvorski (Proceedings of NELS 26, 1996), Bhatt and Pancheva (2006), and Schlenker (2004). (shrink)

It has long been observed that the superlative construction, exemplified by John climbed the highest mountain, has two readings. On the absolute reading, the heights of the relevant mountains in a relevant context are compared; on the comparative reading, relevant climbers’ achievements of mountain climbing are compared (Szabolcsi, Comparative superlatives, MIT Working Papers in Linguistics, 1986). Two theories have been proposed regarding this ambiguity. One theory holds that it results from movement of the superlative morpheme -est (movement theory) (Heim, Association (...) with focus, Doctoral Dissertation, 1985, Notes on superlatives, 1999; Szabolcsi 1986).The other theory holds that the ambiguity is derived by assignment of different values to the context variable C, keeping a single LF structure where -est stays in situ (in-situ theory) (Farkas and Kiss, Nat Lang Linguist Theory 18:417–455, 2000; Sharvit and Stateva, Linguist Philos 25:453–504, 2002). As is pointed out by Heim (1999), a choice between these theories is hard to make based solely on English. Through an investigation of Japanese superlative constructions, this paper argues that, in Japanese at least, a movement theory is required. (shrink)