In many languages, the same particles that form quantifier words also serve as connectives, additive and scalar particles, question markers, roots of existential verbs, and so on. Do these have a unified semantics, or do they merely bear a family resemblance? Are they aided by silent operators in their varied roles―if yes, what operators? I dub the particles “quantifier particles” and refer to them generically with capitalized versions of the Japanese morphemes. I argue that both MO and KA can be (...) assigned a stable semantics across their various roles. The specific analysis I offer is motivated by the fact that MO and KA often combine with just one argument; I propose that this is their characteristic behavior. Their role is to impose semantic requirements that are satisfied when the immediately larger context is interpreted as the meet/join of their host’s semantic contribution with something else. They do not perform meet/join themselves. The obligatory vs. optional appearance of the particles depends on whether the meet/join interpretations arise by default in the given constellation. I explicate the proposal using the toolkit of basic Inquisitive Semantics. (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)

Polarity phenomena in language are pervasive and quite diverse. A quite familiar polarity item (PI) is any. Any a PI because it exhibits limited distribution: it is ungrammatical in positive sentences, but becomes fine with negation, in questions, with modal verbs, and in the scope of downward entailing quantifiers like few.

. Fresh evidence from Free Choice Items (FCIs) in French question the current perception of the class. The role of some standard distinctions found in the literature is weakened or put in a new perspective. The distinction between universal and existential is no longer an intrinsic property of FCIs. Similarly, the opposition between variation-based vs intension-based analyses is relativized. We show that the regime of free choiceness can be characterized by an abstract constraint, that we call Non-Individuation (NI), and which (...) can be satisfied in different ways that match current distinctions. NI says that the information conveyed by a sentence containing a FCI should not be reducible to a referential situation, that is a situation in which particular individuals satisfy the sentence in the current world. The widely used resource of modal variation becomes a particular scenario of free-choiceness, not its essence. In fact, we show that under certain conditions, FCIs can occur in episodic, non-modal sentences, a fact that NI can accommodate. We also discuss more fine-grained aspects of the semantics of FCIs, such as their emotional colour. (. . .) the tripod fell spontaneously, because, though it stood on its feet so as to serve for a seat, it did not fall so as to serve for a seat. Aristotle, Physics II,6. (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)

This paper reports on an experimental investigation of the scope of English a indefinites and a certain indefinites. Three experiments test whether native English speakers allow indefinites to scope out of syntactic islands, and to take intermediate as well as widest scope. The experimental findings indicate that a indefinites and a certain indefinites have different ranges of interpretations available to them. Experiment 1 shows that a certain indefinites, unlike a indefinites, cannot be interpreted in the scope of an intensional operator, (...) and further shows that functional readings are available to a certain indefinites but not to a indefinites. Experiment 2 focuses on the availability of long-distance readings of indefinites out of scope islands, and shows that the most accessible reading for a certain indefinites is the widest-scope reading, while the most accessible reading for a indefinites is the narrow-scope reading. Experiment 3 shows that modification of an a indefinite by a relative clause does not facilitate long-distance readings, as long as it does not restrict the domain to a singleton set. Overall, these findings are consistent with the proposal of Schwarz (Proceedings of the Thirteenth Amsterdam Colloquium, ILCC, University of Amsterdam, 192–197, 2001) that a certain indefinites and a indefinites are derived by different semantic mechanisms. The behavior of a certain indefinites is shown to be consistent with the contextually determined choice function approach Kratzer (Events in grammar, Kluwer, Dordrecht, 165–196, 1998) and the singleton indefinite approach Schwarzschild (J Semant 19:289–314, 2002). In contrast, a indefinites are most compatible with a purely quantificational approach, contra much recent theoretical literature. These findings highlight the value of conducting experimental studies testing the predictions of semantic theories. (shrink)

The article proposes an analysis of imperatives and possibility and necessity statements that (i) explains their differences with respect to the licensing of free choice any and (ii) accounts for the related phenomena of free choice disjunction in imperatives, permissions, and statements. Any and or are analyzed as operators introducing sets of alternative propositions. Free choice licensing operators are treated as quantifiers over these sets. In this way their interpretation can be sensitive to the alternatives any and or introduce in (...) their scope. (shrink)

We offer an analysis of future morphemes as epistemic operators. The main empirical motivation comes from the fact that future morphemes have systematic purely epistemic readings—not only in Greek and Italian, but also in Dutch, German, and English will. The existence of epistemic readings suggests that the future expressions quantify over epistemic, not metaphysical alternatives. We provide a unified analysis for epistemic and predictive readings as epistemic necessity, and the shift between the two is determined compositionally by the lower tense. (...) Our account thus acknowledges a systematic interaction between modality and tense—but the future itself is a pure modal, not a mixed temporal/modal operator. We show that the modal base of the future is nonveridical, i.e. it includes p and ¬p worlds, parallel to epistemic modals such as must, and present arguments that future morphemes are a category that stands in between epistemic modals and predicates of personal taste. We identify, finally, a subclass of epistemic futures which are ratificational, and argue that will is a member of this class. (shrink)

Across languages, we find indefinites that trigger modal inferences. This article contributes to a semantic typology of these items by contrasting Spanish algún with indefinites like German irgendein or Italian uno qualsiasi. While irgendein-type indefinites trigger a Free Choice effect (Kratzer and Shimoyama 2002; Chierchia 2006), algún simply signals that at least two individuals in its domain are possibilities. Additionally, algún, but not irgendein, can convey that the speaker does not know how many individuals satisfy the existential claim in the (...) world of evaluation. We contend that the two types of indefinites impose different constraints on their domain of quantification: irgendein and its kin are domain wideners (Kratzer and Shimoyama 2002), whereas algún is an ‘anti-singleton’ indefinite (its domain cannot be restricted to a singleton). This, together with the fact that algún does not require uniqueness, allows us to derive the contrast between irgendein and algún by using the pragmatic reasoning presented by Kratzer and Shimoyama. (shrink)

The paper proposes an account of the contrast (noticed in Karttunen 1976) between the interpretations of the following two discourses: Harvey courts a girl at every convention. {She is very pretty. vs. She always comes to the banquet with him.}. The initial sentence is ambiguous between two quantifier scopings, but the first discourse as a whole allows only for the wide-scope indefinite reading, while the second allows for both. This cross-sentential interaction between quantifier scope and anaphora is captured by means (...) of a new dynamic system couched in classical type logic, which extends Compositional DRT (Muskens 1996) with plural information states (modeled, following van den Berg 1996, as sets of variable assignments). Given the underlying type logic, compositionality at sub-clausal level follows automatically and standard techniques from Montague semantics become available. The paper also shows that modal subordination (A wolf might come in. It would eat Harvey first) can be analyzed in a parallel way, i.e. the system captures the anaphoric and quantificational parallels between the individual and modal domains argued for in Stone (1999) (among others). In the process, we see that modal / individual-level quantifiers enter anaphoric connections as a matter of course, usually functioning simultaneously as both indefinites and pronouns. (shrink)

The paper proposes a novel analysis of quantificational subordination, e.g. Harvey courts a woman at every convention. {She is very pretty. vs. She always comes to the banquet with him.} (Karttunen 1976), in particular of the fact that the indefinite in the initial sentence can have wide or narrow scope, but the first discourse as a whole allows only for the wide scope reading, while the second discourse allows for both readings. The cross-sentential interaction between scope and anaphora is captured (...) in terms of structured anaphora to quantifier domains, formalized in a new dynamic system couched in classical type logic; given the underlying type logic, Montague-style compositionality at sub-clausal level follows automatically. Modal subordination (Roberts 1987) is analyzed in a parallel way, thereby capturing the parallels between the individual and modal domains argued for in Stone (1999). Several other phenomena are analyzed in terms of structured anaphora: exceptional wide scope, weak / strong donkey readings, anaphoric / uniqueness-implying definite descriptions and interactions between same / different and quantifier scope. (shrink)

Indefinites face competition at two levels: Presupposition and content. The antipresupposition hypothesis predicts that they signal the opposite of familiarity, or uniqueness, namely, novelty, or non-uniqueness. At the level of descriptive content, they are pressured from two sides: definites expressing identity and another phrases expressing difference, and Gricean reasoning predicts that indefinites signal both difference and identity and are infelicitous when definites and another phrases are felicitous. However, occasionally a space opens between the and another, for a to fill. This (...) is in part due to conditions handicapping the or another semantically, in part to another’s phonological handicap. The division of labor between determiners in the field of difference and sameness is thus the result of an intricate competition. We model this competition in a version of game-theoretic pragmatics. (shrink)

The present volume contains a collection of papers presented at the 21st annual meeting “Sinn und Bedeutung” of the Gesellschaft fur Semantik, which was held at the University of Edinburgh on September 4th–6th, 2016. The Sinn und Bedeutung conferences are one of the leading international venues for research in formal semantics.

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)

Discourse dynamics, pragmatics, and indefinites Content Type Journal Article Pages 1-30 DOI 10.1007/s11098-012-9882-y Authors Karen S. Lewis, Department of Philosophy, University of Southern California, Los Angeles, CA, USA Journal Philosophical Studies Online ISSN 1573-0883 Print ISSN 0031-8116.

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 proposes a novel account to the problem of exceptional scope (ES) of (in)definites, e.g. the widest and intermediate scope readings of the sentence Every student of mine read every poem that a famous Romanian poet wrote before World War II. We propose that ES readings are available when the sentence is interpreted as anaphoric to quantificational domains and quantificational dependencies introduced in the previous discourse. For example, the two every quantifiers and the indefinite elaborate on the sets of (...) individuals and the correlations between them introduced by a previous sentence like Every student chose a poet and read every poem written by him (for the intermediate scope reading) or a sentence like Every student chose a poet - the same poet - and read every poem written by him (for the widest scope reading). Our account, formulated within a compositional dynamic system couched in classical type logic, relies on two independently motivated assumptions: (a) the discourse context stores not only (sets of) individuals, but also quantificational dependencies between them, and (b) quantifier domains are always contextually restricted. Under this analysis, (in)definites are unambiguous and we do not resort to movement or special storage mechanisms, nor do weposit special choice-functional variables. (shrink)

In this paper we reconsider the issue of free choice and the role of the wh-morphology employed in it. We show that the property of being an interrogative wh-word alone is not sufficient for free choice, and that semantic and sometimes even morphological definiteness is a pre-requisite for some free choice items (FCIs) in certain languages, e.g. in Greek and Mandarin Chinese. We propose a theory that explains the polarity behaviour of FCIs cross-linguistically, and allows indefinite (Giannakidou 2001) as well (...) as definite-like FCIs. The difference is manifested as a lexical distinction in English between any (indefinite) and wh-ever (definite); in Greek it appears as a choice between a FCI nominal modifier (taking an NP argument), which illustrates the indefinite option, and a FC free relative illustrating the definite one. We provide a compositional analysis of Greek FCIs in both incarnations, and derive in a parallel manner the Chinese FCIs. Here the definite versus indefinite alternation is manifested in the presence or absence of dōu, which we take to express the maximality operator. It is thus shown that what we see in the morphology of FCIs in Greek is reflected in syntax in Chinese. Our analysis has important consequences for the class of so-called wh-indeterminates. In the context of current proposals, free choiceness is taken to come routinely from interrogative semantics, and wh-indeterminates are treated as question words which can freely become FCIs (Kratzer and Shimoyama 2002). Our results from Mandarin and Greek emphasize that wh-indeterminates do not form a uniform class in this respect, and that interrogative semantics alone cannot predict either sensitivity of free choice to definiteness, or the polarity behaviour of FCIs. (shrink)

There is a longstanding discussion whether wide-scope indefinites denote choice functions that are existentially bound or remain free. Data from Ga, an under-researched language spoken in Ghana, show that there are wide-scope indefinites denoting existentially bound skolemized choice functions whose parameter is bound by a higher quantificational NP, free skolemized choice functions with the speaker or a higher quantificational NP as a parameter, and narrow scope quantificational indefinites. Thus the data show that both existentially bound and free skolemized choice functions (...) are attested in natural language shedding new light on the semantics of indefinites. (shrink)