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)

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)

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)

Building on previous works which argued that scalar implicatures can be computed in embedded positions, this paper proposes a constraint on exhaustification which restricts the conditions under which an exhaustivity operator can be licensed. We show that this economy condition allows us to derive a number of generalizations, such as, in particular, the ‘Implicature Focus Generalization’: scalar implicatures can be embedded under a downward-entailing operator only if the scalar term bears pitch accent. Our economy condition also derives specific predictions regarding (...) the licensing of so-called Hurford disjunctions. (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 evidence that preschool children oftentimes understand disjunctive sentences as if they were conjunctive. The result holds for matrix disjunctions as well as disjunctions embedded under every. At the same time, there is evidence in the literature that children understand or as inclusive disjunction in downward-entailing contexts. We propose to explain this seemingly conflicting pattern of results by assuming that the child knows the inclusive disjunction semantics of or, and that the conjunctive inference is a scalar implicature. We make (...) two assumptions about implicature computation in the child: that children access only a proper subset of the adult alternatives, and that children possess the adult capacity to strengthen sentences with implicatures. As a consequence, children are expected to sometimes not compute any implicatures at all, but in other cases they are expected to compute an implicature that is different from the adult implicature. We argue that the child’s conjunctive strengthening of disjunctive sentences realizes the latter possibility: the adult infers that the conjunction is false but the child infers that the conjunction is true. This behaviour is predicted when our assumptions about child development are coupled with the assumption that a covert exhaustive operator is responsible for strengthening in both the child and the adult. Specifically, children’s conjunctive strengthening is predicted to follow from the same mechanism used by adults to compute conjunctive free choice implicatures in response to disjunctive permission sentences. We furthermore argue that this parallel between the child and the adult extends to disambiguation preferences. In particular, we present evidence that children prefer to strengthen disjunctions to conjunctions, in matrix and embedded positions ; this result mirrors previous findings that adults prefer to compute free choice, at the root and under every. We propose a disambiguation strategy that explains the preference for conjunctive strengthening – by both the child and the adult – even though there is no general preference for exhaustification. Specifically, we propose that the preference for a conjunctive strengthening follows from a pragmatic preference for a complete answer to the Question Under Discussion. (shrink)

We propose a modification of the exhaustivity operator from Fox Presupposition and implicature in compositional semantics, Palgrave Macmillan, London, pp 71–120, 2007. https://doi.org/10.1057/9780230210752_4) that on top of negating all the Innocently Excludable alternatives affirms all the ‘Innocently Includable’ ones. The main result of supplementing the notion of Innocent Exclusion with that of Innocent Inclusion is that it allows the exhaustivity operator to identify cells in the partition induced by the set of alternatives whenever possible. We argue for this property of (...) ‘cell identification’ based on the simplification of disjunctive antecedents and the effects on free choice that arise as the result of the introduction of universal quantifiers. We further argue for our proposal based on the interaction of only with free choice disjunction. (shrink)

Sentences with disjunction in the scope of a universal quantifier, Every A is P or Q, tend to give rise to distributive inferences that each of the disjuncts holds of at least one individual in the domain of the quantifier, Some A is P & Some A is Q. These inferences are standardly derived as an entailment of the meaning of the sentence together with the scalar implicature that it is not the case that either disjunct holds of every individual (...) in the domain of the quantifier, \Every A is P &\Every A is Q. As we show, this derivation faces a challenge in that distributive inferences may obtain in the absence of plain negated inferences. We address this challenge by showing that on particular assumptions about alternatives, a derivation of distributive inferences as scalar implicatures can be maintained without in fact necessitating plain negated inferences. These assumptions accord naturally with the grammatical approach to scalar implicatures. We also present experimental data that suggest that plain negated inferences are not only unnecessary for deriving distributive inferences, but might in fact be unavailable. (shrink)

This paper argues that “covert” operations like Quantifier Raising (QR) can precede “overt” operations. Specifically we argue that there are overt operations that must take the output of QR as their input. If this argument is successful there are two interesting consequences for the theory of grammar. First, there cannot be a “covert” (i.e. post-spellout) component of the grammar. That is, what distinguishes operations that affect phonology from those that do not cannot be an arbitrary point in the derivation (“spellout”) (...) before which the former apply and after which the latter do; all syntactic operations apply in the same component (henceforth ‘single component grammar’). Second, there must be some alternative means for distinguishing “overt” from “covert” operations. One such alternative, which we can call the ‘phonological theory of QR’, was suggested by Bobaljik (1995), Pesetsky (1998), Groat and O’Neil (1994). These authors proposed that the distinguishing property has to do with principles of the syntax-phonology interface. Assume that movement is a copying operation with phonology targeting one copy in a chain for pronunciation. The distinction between “overt” and “covert” movement, these authors suggest, is this: “overt” movements are the result of phonology targeting the head of a chain for.. (shrink)

In a recent paper, Martin Hackl and I identified a variety of circumstances where scalar implicatures, questions, definite descriptions, and sentences with the focus particle only are absent or unacceptable (Fox and Hackl 2006, henceforth F&H). We argued that the relevant effect is one of maximization failure (MF): an application of a maximization operator to a set that cannot have the required maximal member. We derived MF from our hypothesis that the set of degrees relevant for the semantics of degree (...) constructions is always dense (the Universal Density of Measurement, UDM). The goal of this paper is to present an apparent shortcoming of F&H and to argue that it is overcome once certain consequences of the proposal are shown to follow from more general properties of MF. Specifically, the apparent problem comes from evidence that the core generalizations argued for in F&H extend to areas for which an account in terms of density is unavailable. Nevertheless, I will argue that the account could still be right. Certain dense sets contain "too many alternatives" for there to be a maximal member, thus leading to MF. But, there are other sets that lead to the same predicament. My goal will be to characterize a general signature of MF in the hope that it could be used to determine the identity of alternatives in areas where their identity is not clear on independent grounds. (shrink)

This paper argues in favor of two claims: (a) that Scope Shifting Operations (Quantifier Raising and Quantifier Lowering) are restricted by economy considerations, and (b) that the relevant economy considerations compare syntactic derivations that end up interpretively identical. These ideas are shown to solve several puzzles having to do with the interaction of scope with VP ellipsis, coordination, and the interpretation of bare plurals. Further, the paper suggests a way of dealing with the otherwise puzzling clause-boundedness of Quantifier Raising.

A Logical Form (LF) is a syntactic structure that is interpreted by the semantic component. For a particular structure to be a possible LF it has to be possible for syntax to generate it and for semantics to interpret it. The study of LF must therefore take into account both assumptions about syntax and about semantics, and since there is much disagreement in both areas, disagreements on LF have been plentiful. This makes the task of writing a survey article in (...) the field fairly difficult, a difficulty that is amplified by the amount of material that needs to be covered if the result is going to be in any way representative. My response to this difficulty is to limit my objectives. As a start, I will confine myself to issues relating to the syntactic positions of Quantificational Noun Phrases (QNPs) at LF and to various interpretive consequences. But even within these relatively narrow confines, I will not attempt anything close to a comprehensive survey. Instead my goal will be restricted to the presentation of one leading idea and to the discussion of some evidence that might bear on it.1 Much research on the nature of LF has consisted in attempts to account for the meaning of sentences containing QNPs. (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)

It is well-known that constructions involving ellipsis share many properties with constructions that involve phonological reduction. The similarity between ECs and PRCs is semantic: the interpretation of both is constrained by the interpretation of an antecedent. Rooth and Tancredi have pointed out that this similarity follows from an independently needed theory of focus.

It is well known that in Sluicing constructions wh-dependencies can cross certain projections that are otherwise barriers to movement (Ross (1969), Chomsky (1972)). This fact would follow under the assumption that the relevant barriers are somehow deactivated when phonologically deleted ('island repair'). The problem, however, is that another form of phonological deletion (VP Ellipsis, VPE) seems to be impossible in certain contexts where Sluicing allows for island repair (Chung et al. (1995), Merchant (1999)).

The neo-Gricean account: the source of these scalar implicatures is a reasoning process (undertaken by the hearer), which culminates in an inference about the belief state of the speaker.

It is well known that in certain environments the scope of a moved quantifier phrase can be determined at either its pre-movement position (“scope reconstruction”) or its postmovement position (“surface scope”). Thus the familiar ambiguity of (1) results from two choices for the scope of the moved QP. Under scope reconstruction, the scope of the moved existential QP is the sister of the pre-movement position (i.e. the sister of t, [to win the lottery]), while under surface scope it is the (...) sister of the post-movement position (i.e. [is likely t to win the lottery]). The two scope possibilities yield different semantic interpretations, corresponding to the paraphrases in (2). (1) Someone from New York is likely t to win the lottery (2) a. It is likely that there will be someone from New York who wins the lottery.. (shrink)

Principles of communication allow the listener to infer (upon hearing (1) that unless the speaker believed that (1alt) were false, the speaker would have uttered (1alt).

It is widely believed that existential quantifiers can bring about the semantic effects of a scope which is wider than their actual syntactic scope (See Fodor & Sag (1982), Cresti (1995), Kratzer (1995), Reinhart (1995) and Winter (1995), among many others.) On the other hand, it is assumed that the syntactic scope of universal quantifiers can be determined unequivocally by the semantics. This paper shows that this second assumption is wrong; universal quantifiers can also bring about scope illusions, though in (...) a very specific environment. In particular, we argue that in the environment of generic tense, universal quantifiers can show the semantic effects of a scope which is wider than the one that is actually realized at LF. Our argument has four steps. First, we show that in generic contexts, universal quantifiers escape standard “scope-islands” (Section 1). Second, we show how the effects of wide scope in generic contexts can be achieved without syntactic wide scope (Section 2.1). Third, we show that this result is actually forced on us, once we take seriously certain independent issues concerning the interpretation of generic tense (Sections 2.2 - 2.4). Finally, the semantics of generic tense and, in particular, its interaction with focus, will yield some intricate new predictions, which, as we show, are borne out (Sections 3 - 5). (shrink)

Denić ( 2018, 2019, To appear ) observes that the availability of distributive inferences—for sentences with disjunction embedded in the scope of a universal quantifier—depends on the size of the domain quantified over as it relates to the number of disjuncts. Based on her observations, she argues that probabilistic considerations play a role in the computation of implicatures. In this paper we explore a different possibility. We argue for a modification of Denić’s generalization, and provide an explanation that is based (...) on intricate logical computations but is blind to probabilities. The explanation is based on the observation that when the domain size is no larger than the number of disjuncts, universal and existential alternatives are equivalent if distributive inferences are obtained. We argue that under such conditions a general ban on ‘fatal competition’ (Magri 2009a, b, Spector 2014 ) is activated, thereby predicting distributive inferences to be unavailable. (shrink)

This paper brings a developmental perspective to the discussion of a longstanding issue surrounding the proper characterization of presuppositions. On an influential view (Stalnaker in Synthese 22(1–2):272–289, 1970; Stalnaker, in Milton, Unger (eds) Semantics and philosophy, New York University Press, New York, 1974; Karttunen in Theor Linguist 1:181–194, 1974), formal presuppositions reflect admittance conditions: an utterance of a sentence which presupposes _p_ is admitted by a conversational context _c_ only if _p_ is common ground in _c_. The theory distinguishes two (...) modes of satisfying this formal requirement: (i) presuppositions may have common ground status prior to utterance, or (ii) they may achieve common ground status post hoc, via accommodation, an adjustment of the common ground by cooperative listeners so as to meet the requirements of an uttered sentence. While intuitive and general, the theory has been criticized (among other things) on methodological grounds (see e.g. Gazdar in Pragmatics: implicature, presupposition and logical form, Academic Press, New York, 1979): the availability of accommodation makes it difficult to empirically examine the notion of presupposition as admittance conditions because a central tenet—pragmatic infelicity results whenever _c_ does not entail _p_—may be masked due to the pragmatic sophistication of language users. In this paper, we argue that child language presents an opportunity to avoid this intrinsic difficulty. In a series of behavioral experiments, we show that young children generate a default expectation that the presuppositions of an asserted sentence have common ground status prior to utterance. Furthermore and more tellingly, we also find that even when accommodation is the preferred option for adults, children fail to accommodate presuppositions in an adult-like manner. This pattern of behavior, we argue, is expected under the admittance theory: in a population where the interference from accommodation is reduced, the impact of failing to satisfy the formal admittance conditions becomes directly observable. (shrink)

Our proposal is concerned with the relation between an aspect of phonology (linearization) and syntax.1 In the picture that we had in mind, the syntax is autonomous — "it does what it does" — but sometimes the result maps to an unusable phonological representation. In this sense, linearization acts logically as a filter on derivations. We know of no evidence that the syntax can predict which syntactic objects will be usable by the phonology, and we know of no clear evidence (...) that the phonology communicates this information to the syntax. In this sense, our proposal fits squarely into the tradition that Svenonius characterizes as the "mainstream".2 We thus attempted to identify certain deviant configurations that are not plausibly excluded for syntax-internal reasons, but are filtered out in the linearization process. (shrink)

• Why does wh-movement proceed through the left edge of CP? • Logic of a common answer: Things would go wrong otherwise.

This paper proposes an architecture for the mapping between syntax and phonology — in particular, that aspect of phonology that determines ordering. In Fox and Pesetsky (in prep.), we will argue that this architecture, when combined with a general theory of syntactic domains ("phases"), provides a new understanding of a variety of phenomena that have received diverse accounts in the literature. This shorter paper focuses on two processes, both drawn from Scandinavian: the familiar process of Object Shift and the less (...) well-known process of Quantifier Movement. We will argue that constraints on these operations can be seen as instances of the same property of grammar that explains the fact that movement is local and successive cyclic. We begin by sketching a model in which locality and successive cyclicity are consequences of the architecture that we propose, rather than specific facts about movement itself. We next present our proposal in somewhat greater detail, and show how it can account for a wide range of apparent limitations on movement — in particular, superficially contradictory restrictions on Object Shift and Quantifier Movement. The restrictions on Object Shift include those grouped under the rubric of Holmberg's Generalization, which Quantifier Movement does not seem to obey. We will argue that Quantifier Movement instead obeys a near mirror-image of Holmberg's Generalization (an "Inverse Holmberg Effect"), but that both Holmberg's Generalization and its mirror image are expected if our proposed architecture is correct. (shrink)

Claims: A. Shared assumption (1) needs to be modified. The argument of a restrictive quantifier phrase, QP, (at least when there is Inverse Scope) is a partial function defined only for individuals that satisfy the restrictor: (3'a) a. λP.[[book]] ⊆ P b.