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)

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 investigate a basic probabilistic dynamic semantics for a fragment containing conditionals, probability operators, modals, and attitude verbs, with the aim of shedding light on the prospects for adding probabilistic structure to models of the conversational common ground.

I develop a conception of expressivism according to which it is chiefly a pragmatic thesis about some fragment of discourse, one imposing certain constraints on semantics. The first half of the paper uses credal expressivism about the language of probability as a stalking-horse for this purpose. The second half turns to the question of how one might frame an analogous form of expressivism about the language of deontic modality. Here I offer a preliminary comparison of two expressivist lines. The first, (...) expectation expressivism, looks again to Bayesian modelling for inspiration: it glosses deontically modal language as characteristically serving to express decision-theoretic expectation (expected utility). The second, plan expressivism, develops the idea (due to Gibbard 2003) that this language serves to express 'plan-laden' states of belief. In the process of comparing the views, I show how to incorporate Gibbard's modelling ideas into a compositional semantics for attitudes and modals, filling a lacuna in the account. I close with the question whether and how plan expressivism might be developed with expectation-like structure. (shrink)

This paper is about even in downward entailing contexts. Karttunen and Peters (1979) have shown that there are two different sets of implicatures of even in such contexts. They argue that the two sets of implicatures are derived by allowing even to take scope either higher or lower than a negative polarity licenser. Rooth (1985) argues that even is lexically ambiguous, that is, there is a negative polarity even. I argue against Rooth's ambiguity theory and show that within Rooth's theory (...) of focus, a scope theory of even has better empirical coverage. I also answer objections to the scope theory raised by Rooth (1985) and Karttunen and Karttunen (1977). (shrink)

‘Only’ associates with focus and licenses NPIs. This paper looks at the distributional pattern of NPIs under ‘only’ and presents evidence for the movement theory of focus association and against an in situ approach. NPIs are licensed in the ‘scope’ (or the second argument) of ‘only’, but not in the complement (or its first argument), which I will call the ‘syntactic restrictor’. While earlier approaches argued that ‘only’ licenses NPIs in the unfocused part of the sentence it occurs in except (...) in its focus, evidence from DP-‘only’ shows that NPIs are also not licensed in the unfocused part of the syntactic restrictor. The distribution of NPIs provides a test for the size of the syntactic restrictor, and this test is applied to the case of VP-‘only’. The evidence shows that (i) the restrictor can be smaller than the entire VP and is not necessarily identical to the surface complement of ‘only’; (ii) in the case of association with a head the restrictor comprises an XP containing the head; and (iii) in cases of association into an island, the restrictor comprises the entire island. Generalizations (i)–(iii) can be captured straightforwardly by a movement approach but are incompatible with an in situ analysis. Contextual domain- restriction of the kind used in in situ approaches accounts for the appropriate semantics in cases where the semantic focus is properly contained in the syntactic restrictor of ‘only’. (shrink)

In Spanish (and other Romance languages) certain predicates select the subjunctive mood in the embedded clause, while others select the indicative mood. In this paper, I present a new analysis for the predicates that select the subjunctive mood in Spanish that is based on a semantics of comparison. The main generalization proposed here is the following: in Spanish, a predicate selects the subjunctive mood in its embedded proposition if the proposition is compared to its contextual alternatives on a scale introduced (...) by the predicate. In this proposal, predicates that select the subjunctive mood are thus analyzed as gradable predicates. Furthermore, the subjunctive mood morpheme is claimed to make a semantic contribution, namely to evaluate the contextual alternatives that are compared by the predicate. In comparing this proposal to other approaches, I show that it can more straightforwardly account for a number of properties of these predicates (entailment relations, practical inferences, and contexts with more than two alternatives). New empirical evidence for two crucial properties of the predicates that select the subjunctive mood is provided: these predicates are focus sensitive and they are gradable, two properties that follow directly from the proposal developed here. In the vast literature on mood, the link between the appearance of the subjunctive mood and these important properties has never been made before. (shrink)

Recent semantic research has made increasing use of a principle, Maximize Presupposition, which requires that under certain circumstances the strongest possible presupposition be marked. This principle is generally taken to be irreducible to standard Gricean reasoning because the forms that are in competition have the same assertive content. We suggest, however, that Maximize Presupposition might be reducible to the theory of scalar implicatures. (i)First, we consider a special case: the speaker utters a sentence with a presupposition p which is not (...) initially taken for granted by the addressee, but the latter takes the speaker to be an authority on the matter. Signaling the presupposition provides new information to the addressee; but it also follows from the logic of presupposition qua common belief that the presupposition is thereby satisfied (Stalnaker, Ling Philos 25(5–6):701–721, 2002). (ii) Second, we generalize this solution to other cases. We assume that even when p is common belief, there is a very small chance that the addressee might forget it (‘Fallibility’); in such cases, marking a presupposition will turn out to generate new information by re-establishing part of the original context. We also adopt from Raj Singh (Nat Lang Semantics 19(2):149–168, 2011) the hypothesis that presupposition maximization is computed relative to local contexts—and we assume that these too are subject to Fallibility; this accounts for cases in which the information that justifies the presupposition is linguistically provided. (iii) Finally, we suggest that our assumptions have benefits in the domain of implicatures: they make it possible to reinterpret Magri’s ‘blind’ (i.e. context-insensitive) implicatures as context-sensitive implicatures which just happen to be misleading. (shrink)

According to the alternative semantics for focus, the semantic reflec of intonational focus is a second semantic value, which in the case of a sentence is a set of propositions. We examine a range of semantic and pragmatic applications of the theory, and extract a unitary principle specifying how the focus semantic value interacts with semantic and pragmatic processes. A strong version of the theory has the effect of making lexical or construction-specific stipulation of a focus-related effect in association-with-focus constructions (...) impossible. Furthermore, while focus has a uniform import, the sources of meaning differences in association with focus are various. (shrink)

This paper addresses the question of whether the preverbal even (VP-even) embedded in a nonfinite clause can take wide scope (e.g., Bill refused to even drink WATER). The paper presents novel evidence for wide scope VP-even that is independent of the presuppositions of even. The evidence is based on examples of antecedent-contained deletion (ACD), where embedded VP-even associates with a nominal constituent (or part of it) that raises out of the embedded clause via quantifier raising. Assuming that even must c-command (...) the focus that it associates with, the case at issue forces VP-even to have wide scope, and further shows that VP-even in NPI-licensing contexts is not necessarily an NPI. (shrink)

This paper presents an analysis of negative polarity items (NPIs) in Hindi. It is noted that NPIs in this language are composed of a (weak) indefinite plus a particle bhii meaning ‘even’. It is argued that the compositional semantics of this combination explains their behavior as NPIs as well as their behavior as free choice (FC) items. I assume that weak Hindi indefinites like ek and koi are to be viewed as a predicate that I call one, a predicate that (...) is true of everything that exists. I further assume that bhii exhibits association with focus with the indefinite, and that this leads to contradictory implicatures in positive contexts. The behavior of these phrases in a variety of syntactic contexts is discussed, including constructions like correlatives. Finally, I provide a comparison with analyses of English any, and discuss the relevance of the analysis presented here for that of any. (shrink)

The computation of both Scalar Implicatures (SI) and Association with Focus (AF) is characterized with reference to sets of alternatives. However, it has generally been assumed that the relevant alternatives are determined in different ways for the two processes. Specifically, it has been assumed that the alternatives for SI – scalar alternatives – are computed by a special procedure specifically designed for implicatures, whereas the alternatives for AF – focus alternatives – are determined by the general theory of association with (...) focus – focus semantics. As far as we know, the only attempt to connect the two is Krifka (1995), under which scalar alternatives and focus alternatives are identical and determined by focus semantics. However, Krifka’s result is based on a specific stipulation about scalar items, which he borrows from Horn and incorporates into focus semantics, namely that scalar items are inherently focused and have their Horn Scale as their lexically specified focus values. (shrink)

This article offers a unified theory of the licensing of Negative and Positive Polarity Items, focusing on the acceptability conditions of PPIs of the some-type, and NPIs of the any-type. It argues that licensing has both a syntactic and a semantic component. On the syntactic side, the acceptability of PIs is checked in constituents; in fact, for any given PI, only some constituents, referred to as `domains', are eligible for the evaluation of that PI. The semantic dimension of licensing consists (...) in the sensitivity of PIs to the monotonicity properties of the syntactic environments they find themselves in. Two pieces of evidence support the semantic dimension of what I call the ‘environment-based’ approach defended here: PIs are subject to flip-flop and certain inferences affect their acceptability by modifying the monotonicity of their environment. A third property, called ‘entanglement’ and so far unnoticed, is described: the acceptability of PIs depends on the acceptability of other PIs in the same syntactic environment. The latter property is exploited to determine what semantic property some is sensitive to: it turns out that, contrary to the consensus among researchers, some is acceptable in the complement of the set of environments in which any is acceptable, and vice versa. (shrink)

Using formal systems to represent and reason about uncertainty.

It has been a long-standing puzzle that Negative Polarity Items appear to split into two subvarieties when their effect on the interpretation of questions is taken into account: while questions with any and ever can be used as unbiased requests of information, questions with so-called `minimizers', i.e. idioms like lift a finger and the faintest idea, are always biased towards a negative answer (cf. Ladusaw 1979). Focusing on yes/no questions, this paper presents a solution to this puzzle. Specifically it is (...) shown that in virtue of containing even (cf. Heim 1984), minimizers, unlike any, trigger a presupposition, which reduces the set of the possible answers to a question to the singleton containing the negative answer. (shrink)

This paper proposes that both weak and strong NPIs in English are sensitive to the downward entailingness of their licensers. It is also proposed, however, that these two types of NPIs pay attention to different aspects of the meaning of their environment. As observed by von Fintel and Chierchia, weak NPIs do not attend to the scalar implicatures of presuppositions of their licensers. Strong NPIs see both the truth-conditional and non-truth-conditional (scalar implications, presuppositions) meaning of their licensers. This theory accounts (...) for the puzzling inability, noted by Rullmann and Gajewski, of Strawson anti-additive operators to license strong NPIs, as well as for the effects of Zwarts’s hierarchy of negative strength. Additional issues concerning comparative quantifiers, few, and proportional quantifiers are addressed. (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)

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)

Recently there has been a lively revival of interest in implicatures, particularly scalar implicatures. Building on the resulting literature, our main goal in the present paper is to establish an empirical generalization, namely that SIs can occur systematically and freely in arbitrarily embedded positions. We are not so much concerned with the question whether drawing implicatures is a costly option (in terms of semantic processing, or of some other markedness measure). Nor are we specifically concerned with how implicatures come about (...) (even though, to get going, we will have to make some specific assumptions on this matter). The focus of our discussion is testing the claim of the pervasive embeddability of SIs in just about any context, a claim that remains so far controversial. While our main goal is the establishment of an empirical generalization, if we succeed, a predominant view on the division of labor between semantics and pragmatics will have to be revised. A secondary goal of this paper is to hint at evidence that a revision is needed on independent grounds. But let us first present, in a rather impressionistic way, the reasons why a revision would be required if our main generalization on embedded SIs turns out to be correct. In the tradition stemming from Grice (1989), implicatures are considered a wholly pragmatic phenomenon and SIs are often used as paramount examples. Within such a tradition, 㳊 semantics is taken to deal with the compositional construction of sentence meaning (a term which we are using for now in a loose, non technical way), while pragmatics deals with how sentence meaning is actually put to use (i.e. enriched and possibly modified through reasoning about speakers’ intentions, contextually relevant information, etc.). Simply put, on this view pragmatics takes place at the level of complete utterances and pragmatic enrichments are a root phenomenon (something that happens globally to sentences) rather than a compositional one.. (shrink)

A downward-entailing context has the property that the replacement of the predicate in the context by a stronger predicate preserves truth. So, for instance, presuppositions aside, the context after “every” in (1) where the NPI “ever” appears is downward entailing.

This paper will be concerned with the conjunctive interpretation of a family of disjunctive constructions. The relevant conjunctive interpretation, sometimes referred to as a “free choice effect,” (FC) is attested when a disjunctive sentence is embedded under an existential modal operator. I will provide evidence that the relevant generalization extends (with some caveats) to all constructions in which a disjunctive sentence appears under the scope of an existential quantifier, as well as to seemingly unrelated constructions in which conjunction appears under (...) the scope of negation and a universal quantifier. (shrink)