This paper reviews a series of experimental studies that address what we call ‘interface judgement’, which is the complex judgment involving integration from multiple levels of grammatical representation such as the syntax-semantics and prosody-semantics interface. We first discuss the results from the ERP literature connected to NPI licensing in different languages, paying particular attention to the N400 and the P600 as neural correlates of this specific phenomenon and focusing on the study by Xiang et al. (2016). The results of this (...) study show evidence that there are two distinct NPI licensing mechanisms, i.e., licensing and rescuing, in line with Giannakidou (1998, 2006). Then we discuss an acceptability judgement task on Greek NPIs which supports the negativity as a scale hypothesis (Zwarts 1995, 1996, Giannakidou 1998). For the semantics-prosody interface judgment, we discuss two types of findings on two different phenomena and languages: (i) the study by Giannakidou & Yoon (2016) on scalar and non-scalar NPIs in Greek and Korean, which serves as the foundation for Chatzikontantinou (2016)’s study of production data showing distinct prosodic properties in emphatic (scalar) and non-emphatic (non-scalar) Greek NPIs; (ii) a (production and perception) study by Etxeberria & Irurtzun (2015) on the prosodic disambiguation of the scalar/non-scalar readings of sentences containing the focus particle ‘ere’ in Basque. The main conclusion of the paper is that experimental methods of the kind discussed in the paper are useful in establishing physical, quantitative correlates of interface judgement. (shrink)

The rightness and wrongness of actions fits on a continuous scale. This fits the way we evaluate actions chosen among a diverse range of options, even though English speakers don’t use the words “righter” and “wronger”. I outline and defend a version of scalar consequentialism, according to which rightness is a matter of degree, determined by how good the consequences are. Linguistic resources are available to let us truly describe actions simply as right. Some deontological theories face problems in (...) accounting for degrees of rightness, as they don't invoke continuous parameters among the right-making features of action. (shrink)

Three experiments investigated the processing of the implicature associated with some using a “gumball paradigm.” On each trial, participants saw an image of a gumball machine with an upper chamber with 13 gumballs and an empty lower chamber. Gumballs then dropped to the lower chamber and participants evaluated statements, such as “You got some of the gumballs.” Experiment 1 established that some is less natural for reference to small sets and unpartitioned sets compared to intermediate sets. Partitive some of was (...) less natural than simple some when used with the unpartitioned set. In Experiment 2, including exact number descriptions lowered naturalness ratings for some with small sets but not for intermediate size sets and the unpartitioned set. In Experiment 3, the naturalness ratings from Experiment 2 predicted response times. The results are interpreted as evidence for a Constraint-Based account of scalar implicature processing and against both two-stage, Literal-First models and pragmatic Default models. (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 reports an experimental investigation of presuppositions and scalar implicatures in language acquisition. Recent proposals posit the same mechanisms for generating both types of inferences, in contrast to the traditional view. We used a Covered Box picture selection task to compare the interpretations assigned by two groups of children and by adults, in response to sentences with presuppositions and ones with either ‘direct’ or ‘indirect’ scalar implicatures. The main finding was that the behavior of children and adults (...) differed across inference types. This asymmetry is consistent with the traditional perspective, but poses a challenge for the more recent uniform accounts. We discuss how the latter could be amended to account for these findings, and also relate the findings to previous results on presupposition processing. Finally, we discuss an unexpected difference found between direct and indirect scalar implicatures. (shrink)

This chapter contains section titled: Introduction The Demandingness Objection Scalar Utilitarianism Wrongness as Blameworthiness Rightness and Goodness as Guides to Action.

In this paper, I give an analysis of neg-raising inferences as scalar implicatures. The main motivation for this account as opposed to a presupposition-based approach like Gajewski (Linguist Philos 30(3):289–328, 2007) comes from the differences between presuppositions and neg-raising inferences. In response to this issue, Gajewski (2007) argues that neg-raising predicates are soft presuppositional triggers and adopts the account of how their presuppositions arise by Abusch (J Semantics 27(1):1–44, 2010). However, I argue that there is a difference between soft (...) triggers and neg-raising predicates in their behavior in embeddings; a difference that is straightforwardly accounted for in the present approach. Furthermore, by adopting Abusch’s (2010) account of soft triggers, Gajewski (2007) inherits the assumptions of a pragmatic principle of disjunctive closure and of a non-standard interaction between semantics and pragmatics—assumptions that are not needed by the present proposal, which is just based on a regular theory of scalar implicatures. I also show that the arguments that Gajewski (2007) presents in favor of the presuppositional account can be explained also by the scalar implicatures-based approach proposed here. Finally, while the main point of the paper is a comparison with the presuppositional account, I sketch a preliminary comparison with more syntactic approaches to neg-raising. (shrink)

Paul Grice has given an account of conversational implicatures that hinges on the hypothesis that communication is a cooperative activity performed by rational agents which pursue a common goal. The attempt to derive Grice’s principles from game theory is a natural step, since its aim is to predict the behaviour of rational agents in situations where the outcome of one agent’s choice depends also on the choices of others. Generalised conversational implicatures, and in particular scalar ones, offer an ideal (...) test bed for this working hypothesis, since with this kind of implicatures the alternative choices available to the agents are less dependent on context, and they can be derived from the meanings of the sentences employed. Some rival game-theoretic accounts of the same phenomena will be criticised. The present paper shows that scalar implicatures can be explained using iterated admissibility, but that some of these need an additional assumption in order to be accounted for. (shrink)

Abstract: The Gricean theory of conversational implicature has always been plagued by data suggesting that what would seem to be conversational inferences may occur within the scope of operators like believe , for example; which for bona fide implicatures should be an impossibility. Concentrating my attention on scalar implicatures, I argue that, for the most part, such observations can be accounted for within a Gricean framework, and without resorting to local pragmatic inferences of any kin d. However, there remains (...) a small class of marked cases that cannot be treated as conversational implicatures, and they do require a local mode of pragmatic interpretation. (shrink)

This article develops a Gricean account for the computation of scalarimplicatures in cases where one scalar term is in the scope ofanother. It shows that a cross-product of two quantitative scalesyields the appropriate scale for many such cases. One exception iscases involving disjunction. For these, I propose an analysis that makesuse of a novel, partially ordered quantitative scale for disjunction andcapitalizes on the idea that implicatures may have different epistemic status.

The Gricean theory of conversational implicature has always been plagued by data suggesting that what would seem to be conversational inferences may occur within the scope of operators likebelieve, for example; which for bona fide implicatures should be an impossibility. Concentrating my attention on scalar implicatures, I argue that, for the most part, such observations can be accounted for within a Gricean framework, and without resorting to local pragmatic inferences of any kind. However, there remains a small class of (...) marked cases that cannot be treated as conversational implicatures, and they do require a local mode of pragmatic interpretation. (shrink)

This paper develops an analysis of a scalar implicature that is induced by the use of reportative evidentials such as the Cuzco Quechua enclitic = si and the German modal sollen. Reportatives, in addition to specifying the speaker’s source of information for a statement as a report by someone else, also usually convey that the speaker does not have direct evidence for the proposition expressed. While this type of implicature can be calculated using the same kind of Gricean reasoning (...) that underlies other scalar implicatures, it requires two departures from standard assumptions. First, evidential scalar implicatures differ from the more familiar scalar implicatures in that they do not turn on the notion of informativeness but on the notion of evidential strength. Second, the implicature arises on the illocutionary level of meaning. It is argued that a version of Grice’s maxim of quantity in terms of illocutionary strength can account for this evidential scalar implicature as well as for the more typical scalar implicatures. The account developed also proposes some revisions to the taxonomy of speech acts and suggests that the sincerity conditions of assertive speech acts contain an evidential sincerity condition in addition to the belief condition standardly assumed. (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)

The quantifier “some” often elicits a scalar implicature during comprehension: “Some of today's letters have checks inside” is often interpreted to mean that not all of today's letters have checks inside. In previous work, Goodman and Stuhlmüller (G&S) proposed a model that predicts that this implicature should depend on the speaker's knowledgeability: If the speaker has only examined some of the available letters (e.g., two of three letters), people are less likely to infer that “some” implies “not all” than (...) if the speaker has examined all of the available letters. G&S also provided behavioral evidence in support of their model. In this paper, we first show that a simple extension of G&S's model (1) predicts G&S's knowledgeability effects, and in addition, (2) predicts that the knowledgeability effect will be reduced when the speaker's usage indicates numeral alternatives are available. We tested the new model's predictions in four preregistered experiments. All experiments supported the first model prediction, replicating G&S's finding of a main effect of the speaker's knowledge. Further, Experiments 2 and 4 supported the second model prediction showing that the words that a speaker tends to use affect the strength of scalar implicature that comprehenders make. In particular, when the speaker has partial knowledge (e.g., has only examined two of three letters), comprehenders think that “some” is more likely to mean “not all” when the speaker also tends to produce number words in similar sentences (e.g., “2 of today's rooms have working smoke detectors.”). These results have important ramifications for theories of meaning: the context beyond the sentence (e.g., the speaker's tendency to use particular words) affects the set of alternatives that comprehenders consider when inferring meaning. (shrink)

I argue for a subsumption of any version of Grice’s first quantity maxim posited to underlie scalar implicature, by developing the idea of implicature recovery as a kind of explanatory inference, as e.g. in science. I take the applicable model to be contrastive explanation, while following van Fraassen’s analysis of explanation as an answer to a why-question. A scalar implicature is embedded in such an answer, one that meets two probabilistic constraints: the probability of the answer, and ‘favoring’. (...) I argue that besides having application at large, outside of linguistic interpretation, these constraints largely account not only for implicatures based on strength order, logical and otherwise, but also for unordered cases. I thus suggest that Grice’s maxim and its descendants are expressions of general explanatory constraints, as they happen to be manifested in this particular explanatory task. I conclude by briefly discussing how I accordingly view Grice’s system outside of scalar implicature. (shrink)

Next SectionIn recent years, the interpretation of scalar terms in embedded environments has been investigated extensively. Some experimentalists have been concerned with sentences like (1), in which a scalar term is embedded under a universal quantifier. The controversy involves the question whether ‘some’ in these sentences is interpreted as ‘some but not all’, thus leading to the embedded upper-bounded inference that no square is connected to all of the circles. (1) All the squares are connected with some of (...) the circles.Geurts & Pouscoulous (2009) conducted a verification task that seemed to prove that the inference is not licensed. In response, Clifton & Dube (2010) and Chemla & Spector (2011) gathered evidence suggesting the opposite conclusion. By experimentally investigating the typicality structure of complex quantified sentences like (1) above, I show how the results of the latter two experiments can be explained as typicality effects. Typicality plays a significant role in the comprehension of quantified sentences, thus complicating the interpretation of data from the kinds of experiments that have been employed to test between theories of upper-bounded inferences. (shrink)

In the moral realm, our deontic judgments are usually (always?) binary. An act (or omission) is either morally forbidden or morally permissible. 1 Yet the determination of an act's deontic status frequently turns on the existence of properties that are matters of degree. In what follows I shall give several examples of binary moral judgments that turn on scalar properties, and I shall claim that these examples should puzzle us. How can the existence of a property to a specific (...) degree demarcate a boundary between an act's being morally forbidden and its not being morally forbidden? Why aren't our moral judgments of acts scalar in the way that the properties on which those judgments are based are scalar, so that acts, like states of affairs, can be morally better or worse rather than right or wrong? I conceive of this inquiry as operating primarily within the realm of normative theory. Presumably it will give aid and comfort to consequentialists, who have no trouble mapping their binary categories onto scalar properties. For example, a straightforward act utilitarian, for whom one act out of all possible acts is morally required (and hence permissible) and all others morally forbidden, can, in theory at least, provide an answer to every one of the puzzles I raise. And, in theory, so can all other types of act and rule consequentialists. They will find nothing of interest here beyond embarrassment for their deontological adversaries. The deontologists, however, must meet the challenges of these puzzles. And for them, the puzzles may raise not just normative questions, but questions of moral epistemology and moral ontology. Just how do we know that the act consequentialist's way of, say, trading off lives against lives is wrong? For example, do we merely intuit that taking one innocent, uninvolved person's life to save two others is wrong? Can our method of reflective equilibrium work if we have no theory by which to rationalize our intuitions? And what things in the world make it true, if it is true, that one may not make the act consequentialist's tradeoff? I do not provide any answers to these questions any more than I provide answers to the normative ones. But they surely lurk in the background. (shrink)

Should people get vaccinated for the sake of others? What could ground—and limit—the normative claim that people ought to do so? In this paper, we propose a reasons-based consequentialist account of vaccination for the benefit of others. We outline eight harm-based and probabilistic factors that, we argue, give people moral reasons to get vaccinated. Instead of understanding other-directed vaccination in terms of binary moral duties (i.e., where people either have or do not have a moral duty to get vaccinated), we (...) develop a scalar approach according to which people can have stronger or weaker moral reasons to get vaccinated in view of the moral good of vaccination. One advantage of our approach is that it can capture why a person might have strong moral reasons to get vaccinated with Vaccine A, but only weak moral reasons to get vaccinated with Vaccine B. We discuss theoretical strengths of our approach and provide a case study of vaccination against COVID-19 to demonstrate its practical significance. (shrink)

The idea is that, in a wide range of contexts, utterances of the sentences in (a) in each case will communicate the assumption in (b) in each case (or something closely akin to it, there being a certain amount of contextually governed variation in the speaker's propositional attitude and so the scope of the negation). These scalar inferences are taken to be one kind of (generalized) conversational implicature. As is the case with pragmatic inference quite generally, these inferences are (...) defeasible (cancellable), which distinguishes them from entailments, and they are nondetachable, which distinguishes them from conventional implicatures. The core idea is that the choice of a weaker element from a scale of elements ordered in terms of semantic strength (that is, numbers of entailments) tends to implicate that, as far as the speaker knows, none of the stronger elements in the scale holds in this instance. The pattern is quite clear in (1) and (2), where the weak/strong alternatives are some/all and five/six respectively. In the case of (3), the stronger expression must be intelligent and good-hearted which entails intelligent; what Y's utterance implicates is that Mary does not have the two properties: intelligence and good-heartedness, so that, given the proposition expressed (Mary is intelligent) it follows, deductively, that she is not good-hearted, in Y's opinion. The example in (4) involves a scale inversion due to the negation, so that the weak/strong alternatives are not necessarily/not possibly; the negation which the scalar inference generates creates a double negation, which is eliminated giving possibly. (shrink)

The following is an advertisement for scalar epistemic consequentialism. Benefits include an epistemic consequentialism that (i) is immune from the the no-positive-epistemic-duties objection and (ii) doesn’t require bullet-biting on the rightness of epistemic tradeoffs. The advertisement invites readers to think more carefully about both the definition and logical space of epistemic consequentialism.

The automorphism groups of scalar products of spinors are determined. Spinors are considered as elements of minimal left ideals of Clifford algebras on quadratic modules, e.g., on orthogonal spaces. Orthogonal spaces of any dimension and arbitrary signature are discussed. For example, the automorphism groups of scalar products of Pauli spinors and Dirac spinors are, respectively, isomorphic to the matrix groups U(2) and U(2, 2). It is found that there are, in general, 32 different types or similarity classes of (...) such automorphism groups, if one considers real orthogonal spaces of arbitrary dimension and arbitrary signature. On a more abstract level this means that the Brauer-Wall group of the real field R, consisting of graded central simple algebras over R, can be extended from the cyclic group of 8 elements to an abelian group with32 elements. This extended Brauer-Wall group is seen to be isomorphic with the group (Z 8 × Z 8 )/Z 2 and it consists of real Clifford algebras with antiinvolutions. Moreover, the subgroup determined by the antiinvolution is isomorphic to the automorphism group of scalar products of spinors. (shrink)

One of the tasks of language learning is the discovery of the intricate division of labour between the lexical-semantic content of an expression and the pragmatic inferences the expression can be used to convey. Here we investigate experimentally the development of the semantics– pragmatics interface, focusing on Greek-speaking five-year-olds’ interpretation of aspectual expressions such as arxizo (‘ start ’) and degree modifiers such as miso (‘ half ’) and mexri ti mesi (‘ halfway ’). Such expressions are known to give (...) rise to scalar inferences crosslinguistically : for instance, start, even though compatible with expressions denoting completion (e.g. finish), is typically taken to implicate non-completion. Overall, our experiments reveal that children have limited success in deriving scalar implicatures from the use of aspectual verbs but they succeed with ‘ discrete ’ degree modifiers such as ‘ half ’. Furthermore, children are better at spontaneously computing scalar implicatures than judging the pragmatic appropriateness of scalar statements. Finally, children can suspend scalar implicatures in environments where they are not supported. We discuss implications of these results for the scope and limitations of children’s ability to both acquire the lexical semantics of aspectuals and to compute implicatures as part of what the speaker means. (shrink)

This paper offers a compositional analysis of Mandarin universal _wh_’s in construction with an additive/scalar adverb _ye_ ‘also/even’. In the analysis, universal force is derived from exhaustification of the subdomain alternatives activated by _wh_-items under stress, and the tendency of _wh_-_ye_ to appear in negative sentences is explained by the interaction between _ye_ and domain widening. Specifically, the _ye_ in _wh_-_ye_ is argued to be a scalar _ye_ imposing a total order presupposition on its associated set of alternatives. (...) In _wh_-_ye_ it associates with the domain argument of the _wh_, and the requirement can be met by either an ordered _wh_ or a two-point scale \(\langle D',D \rangle \) made available through domain widening, specifically by widening of QUDs. The negative preference follows from the fact that a QUD is most naturally widened when it is settled negatively, as in the case of negatively biased questions with minimizers/maximizers. (shrink)

According to the standard analysis, quantifiers such as , connectives such as , modals such as and a host of other expressions form informational scales (Horn, 1972). In the canonical case, informational scales are defined on the basis of entailment (e.g. p and q asymmetrically entails p or q). Given the Gricean assumption that speakers try to say as much as they truthfully can that is relevant to the conversational exchange, the fact that an informationally weaker term was used in (...) (1)-(3) often gives the listener reason to think that the speaker was not in a position to offer a stronger statement (presumably because such a statement would be false). Thus, even though weak scalar expressions such as some and or have a lower-bounded semantics (for instance some means ‘some and possibly all’), their semantic content is typically upper-bounded by a conversational implicature (e.g. ‘some but not all’). More recently, the precise mechanisms responsible for the computation of scalar implicatures (SIs) have become the topic of much debate. There is considerable disagreement as to whether SIs are derived on the basis of broadly Gricean quantity considerations, as the traditional account would have it, or post- Gricean relevance-oriented computations, whether they are the result of local or global calculations, and whether they are context-specific or generalized, default inferences (for varying perspectives, see Hirschberg, 1985; Sperber and Wilson, 1986/1995; Grice, 1989; Carston, 1990, 1998; Horn, 1992; Levinson, 2000; Chierchia, 2001). In several cases, SIs have been used to motivate and illustrate very different views of the architecture of the semantics-pragmatics interface. Despite their prominent place in the theoretical linguistic literature, scalar inferences have attracted relatively little attention in psycholinguistics.. (shrink)

In the philosophical debate on lying, there has generally been agreement that either the speaker believes that his statement is false, or he believes that his statement is true. This article challenges this assumption, and argues that lying is a scalar phenomenon that allows for a number of intermediate cases – the most obvious being cases of uncertainty. The first section shows that lying can involve beliefs about graded truth values (fuzzy lies) and graded beliefs (graded-belief lies). It puts (...) forward a new definition to deal with these scalar parameters, that requires that the speaker asserts what he believes more likely to be false than true. The second section shows that statements are scalar in the same way beliefs are, and accounts for a further element of scalarity, illocutionary force. (shrink)

This paper explores the idea that scalar implicatures are computed with respect todiscourse referents. Given the general consensus that a proper account of pronominal anaphora in natural language requires discourse referents separately from the truth-conditional meaning, it is naturally expected that the anaphoric information that discourse referents carry play a role in the computation of scalar implicatures, but the literature has so far mostly exclusively focused on the truth-conditional dimension of meaning. This paper offers a formal theory of (...) scalar implicatures with discourse referents couched in dynamic semantics, and demonstrates its usefulness through a case study on the plurality inferences of plural nouns in English. (shrink)

Since Horn (1972) the notion of conversational implicature proposed by Grice has been put to use to explain certain interpretive differences between expressions in natural language and their counterparts in formal logic. For example, the sentences in (1) seem to convey more than they would be expected to if the natural language disjunction or had the same meaning as the logical disjunction ∨, or if the quantificational determiner some was interpreted as the existential quantifier ∃.

• Spatial predicates with both State and Event Readings The fog extended from London toward Paris. • Basic properties to be accounted for.

This study investigated the understanding of underinformative sentences like “Some elephants have trunks” by children with autism spectrum disorder (ASD). The scalar term ‘some’ can be interpreted pragmatically, ‘Not all elephants have trunks’, or logically, ‘Some and possibly all elephants have trunks’. Literature indicates that adults with ASD show no real difficulty in interpreting scalar implicatures, i.e., they often interpret them pragmatically, as controls do. This contrasts with the traditional claim of difficulties of people with ASD in other (...) pragmatic domains, and is more in line with the idea that pragmatic problems are not universal. The aim of this study was to: a) gain insight in the ability of children with ASD to derive scalar implicatures, and b) do this by assessing not only sensitivity to underinformativeness, but also different degrees of tolerance to violations of informativeness. We employed a classic statement-evaluation task, presenting optimal, logical false, and underinformative utterances. In Experiment 1, children had to express their judgment on a binary option ‘I agree’ vs ‘I disagree’. In Experiment 2, a ternary middle answer option ‘I agree a bit’ was also available. Sixty-six Flemish-speaking 10-year-old children were tested: 22 children with ASD, an IQ-matched group, and an age-matched group. In the binary judgment task, the ASD-group gave more pragmatic answers than the other groups, which was significant in the mixed effects logistic regression analysis, although not in the non-parametric analysis. In the ternary judgment task, the children with ASD showed a dichotomized attitude towards the speaker’s meaning, by tending to either fully agree or fully disagree with underinformative statements, in contrast with TD children, who preferred the middle option. Remarkably, the IQ-matched group exhibited the same pattern of results as the ASD group. Thanks to a fine-grained measure such as the ternary judgment task, this study highlighted a neglected aspect of the pragmatic profile of ASD, whose struggle with social communication seems to affect also the domain of informativeness. We discuss the implications of the dichotomized reaction towards violations of informativeness of these two groups in terms of the potential role of ASD and of cognitive and verbal abilities. (shrink)

; Some students in the audience liked the talk, but not all. The intuitive meaning of the sentences in (1) imposes restrictions (the material underlined in the glosses) that go beyond the meaning of logical disjunction or existential quantification: in formal logic, P ∨ Q is true if both disjuncts are, and ∃xP (x) is true if the P holds of all entities in the domain of quantification.

It has been generally assumed that certain categories of numerical expressions, such as ‘more than n’, ‘at least n’, and ‘fewer than n’, systematically fail to give rise to scalar implicatures in unembedded declarative contexts. Various proposals have been developed to explain this perceived absence. In this paper, we consider the relevance of scale granularity to scalar implicature, and make two novel predictions: first, that scalar implicatures are in fact available from these numerical expressions at the appropriate (...) granularity level, and second, that these implicatures are attenuated if the numeral has been previously mentioned or is otherwise salient in the context. We present novel experimental data in support of both of these predictions, and discuss the implications of this for recent accounts of numerical quantifier usage. (shrink)

Scalar utilitarianism, a form of utilitarianism advocated by Alastair Norcross, retains utilitarianism's evaluative commitments while dispensing with utilitarianism's deontic commitments, or its commitment to the existence or significance of moral duties, obligations and requirements. This article disputes the effectiveness of the arguments that have been used to defend scalar utilitarianism. It is contended that Norcross's central ‘Persuasion Argument’ does not succeed, and it is suggested, more positively, that utilitarians cannot easily distance themselves from deontic assessment, just as long (...) as scalar utilitarians admit – as they should do – that utilitarian evaluation generates normative reasons for action.Send article to KindleTo send this article to your Kindle, first ensure [email protected] is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about sending to your Kindle. Find out more about sending to your Kindle. Note you can select to send to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be sent to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply. Find out more about the Kindle Personal Document Service.Should Utilitarianism Be Scalar?Volume 25, Issue 1GERALD LANG DOI: https://doi.org/10.1017/S0953820812000295Your Kindle email address Please provide your Kindle [email protected]@kindle.com Available formats PDF Please select a format to send. By using this service, you agree that you will only keep articles for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services. Please confirm that you accept the terms of use. Cancel Send ×Send article to Dropbox To send this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about sending content to Dropbox. Should Utilitarianism Be Scalar?Volume 25, Issue 1GERALD LANG DOI: https://doi.org/10.1017/S0953820812000295Available formats PDF Please select a format to send. By using this service, you agree that you will only keep articles for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services. Please confirm that you accept the terms of use. Cancel Send ×Send article to Google Drive To send this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about sending content to Google Drive. Should Utilitarianism Be Scalar?Volume 25, Issue 1GERALD LANG DOI: https://doi.org/10.1017/S0953820812000295Available formats PDF Please select a format to send. By using this service, you agree that you will only keep articles for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services. Please confirm that you accept the terms of use. Cancel Send ×Export citation Request permission. (shrink)

The paper develops a uniform compositional analysis of the various readings of the scalar particle still and its German counterpart noch. Noch/still is a presuppositional scalar particle that gives rise to implicatures. Interpretive possibilities arise through different choices for the scale that the particle associates with, different attachment sites in the syntax, and interaction with focus. These interpretive parameters allow for a wide range of possible sentence interpretations, which overlap, but do not coincide for still and noch. The (...) contrastive perspective allows us to examine the role of scales in the grammar. The implicatures triggered by the scalar item open an interesting perspective for the generation of implicatures in general. (shrink)

Sensitivity to the square of the cutoff scale of quantum corrections of the Higgs boson mass self-energy has led many authors to conclude that the Higgs theory suffers from a naturalness or fine-tuning problem. However, speculative new physics ideas to solve this problem have not manifested themselves yet at high-energy colliders, such as the Large Hadron Collider at CERN. For this reason, the role of naturalness as a guide to theory model-building is being severely questioned. Most attacks suggest that one (...) should not resort to arguments involving gravity, which is a much less understood quantum field theory. Another line of attack is against the assumption that there exists a multitude of additional heavy states specifically charged under the Standard Model gauge symmetries. Nevertheless, if we give ground on both of these assaults on naturalness, what remains is a naturalness concern over the prospect of numerous additional spin-zero scalar states in nature. The proliferation of heavy scalars generically destabilizes the Higgs boson mass, raising it to the highest and most remote scalar mass values in nature, thus straining the legitimacy of the Standard Model. The copious use of extra scalars in theory model building, from explaining flavor physics to providing an inflationary potential and more, and the generic expectation of extra scalar bosons in nature argues for the proliferation instability problem being the central concern for naturalness of the Standard Model. Some approaches to solving this problem are presented. (shrink)

Recent work on the relation between narrative and selfhood has emphasized embodiment as an indispensable foundation for selfhood. This has occasioned an interesting debate on the relation between embodiment and narrative. In this paper, I attempt to mediate the range of conflicting intuitions within the debate by proposing a scalar approach to narrative and an accompanying concept of a split-self. Drawing on theoretical developments from contemporary narratology, I argue that we need to move away from a binary understanding of (...) narrative as something an entity strictly is or is not; rather, we need to see narrative as an attribute admitting of degrees. I suggest that the relation between narrative and embodiment should be seen along these lines, proposing three levels of the narrativity of embodied experiencing: 1) the unnarratable, 2) the narratable and 3) the narrative. Finally, I discuss the implications this framework has for the general question of the narrative constitution of selfhood. (shrink)