This paper concentrates on giving precise content to the general wisdom on the scalar presupposition of even, according to which the prejacent of even, p, is stronger than its relevant focus alternatives, q. To that end I first examine both familiar challenges for the popular ‘comparative likelihood’ view of the ‘stronger than’ relation, as well as novel challenges, having to do with the context dependency of even and with its sensitivity to standards of comparison. To overcome these challenges and to (...) account for the full range of data I develop a revised, ‘gradability-based’ scalar presupposition for even, which differs from the ‘comparative likelihood’ one in several respects: instead of directly comparing degrees to which propositions are more or less likely, we compare extents to which non-focus entities x in p and q exceed the salient standard on a scale associated with a contextually supplied gradable property G. To capture cases where information about contrastive topics is crucial for fixing two distinct standards on G, I follow theories which view even as a general, two-place alternative-sensitive operator, allowing it to associate with both focus and contrastive topics. Beyond the ability to account for a large range of intricate felicity variations and inferences found with even, a more general contribution of the paper lies in showing the linguistic relevance of tools originally developed in the literature on gradable predicates to the semantics of scalar alternative–sensitive particles. (shrink)

This paper presents the first possible world semantics for concessive conditionals (i.e., even if A, C conditionals) constructed in a compositional way. First, the meaning of if is formalized through a semantics that builds on the proposal given by Stalnaker (1968). A major difference from Stalnaker’s approach is that irrelevant conditionals (i.e., conditionals where the antecedent and the consequent have no connection) are false in this new setting. Second, the meaning of even is analyzed through a formal semantics based on (...) the notion of scale. This analysis overcomes the problems arising in standard approaches, in which even is analyzed with the help of pragmatic presuppositions. Finally, the two particles are combined in order to provide a formal analysis of even if. This theory predicts the major phenomena concerning the behavior of concessive conditionals and without any call to pragmatic explanations. More generally, this approach creates the possibility of a compositional analysis of other conditionals such as if then or only if forms. (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)

We observe that the facts pertaining to the acceptability of negative polarity items (henceforth, NPIs) in interrogative environments are more complex than previously noted. Since Klima [Klima, E. (1964). In J. Fodor & J. Katz (Eds.), The structure of language. Prentice-Hall], it has been typically assumed that NPIs are grammatical in both matrix and embedded questions, however, on closer scrutiny it turns out that there are differences between root and embedded environments, and between question nucleus and wh-restrictor. While NPIs are (...) always licensed in the nucleus of root questions, their acceptability in the restrictor of wh-phrases and in the nucleus of any embedded question depends on the logical properties of the linguistic environment: its strength in terms of exhaustivity [Groenendijk, J., & Stokhof, M. (1984). Studies on the semantics of questions and the pragmatic answers. Amserdam (NL), Post-Doctoral Dissertation. Heim, I. (1994). In R. Buchalla & A. Mittwoch (Eds.), Proceedings of the 9th annual IATL conference and of the 1993 IATL workshop on discourse (pp. 128-144). Akademon, Jerusalem. Beck, S., & Rullmann, H. (1999). Natural Language Semantics, 7, 249-298. Sharvit, Y. (2002). Natural Language Semantics, 10, 97-123] and its monotonicity properties (in the sense of von Fintel [von Fintel, K. (1999). Journal of Semantics, 16, 97-148]). (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)

A central question in the study of presuppositions is how a presupposition trigger contributes to the meaning of a complex expression containing it. Two competing answers are found in the literature on quantificational expressions. According to the first, a quantificational expression presupposes that every member of its domain satisfies the presuppositions triggered in its scope, and according to the second, a quantificational expression presupposes that at least one member of its domain satisfies the presuppositions triggered in its scope. The former (...) view implies that an interrogative clause, a kind of quantificational expression, presupposes all of its possible answers’ presuppositions, whereas the latter view implies that an interrogative clause presupposes that the presuppositions of at least one of is possible answers are satisfied. This paper contributes to the debate by showing that ‘alternative’ interrogatives, formed with or, project presuppositions in the same, distinctive manner that other disjunctive constructions do: generally, universally. A theory that treats disjunctive words as restricted variables, bindable by various quantificational operators, is extended to account for the presuppositions of ‘alternative’ interrogatives, disjoined declaratives, and disjoined conditional antecedents in a uniform manner. The paper then explores some ways to reconcile the proposal with two special cases where interrogatives have been claimed to have weaker presuppositions: constituent interrogatives in presupposition-weakening contexts, and polar interrogatives containing bias-inducing scalar particles like even. (shrink)

Nakanishi :115–136, 2012) presents a novel argument for the so-called scope theory of English sentential even, based on examples with antecedent-contained deletion. Nakanishi’s argument is based on the assumption that even cannot associate with a focus which has moved out of its LF scope. I show that this assumption is incorrect, defusing Nakanishi’s argument. I propose that when even associates with a focus which has moved out of its surface scope, it actually associates with focused material in the lower copies (...) of movement. I show that a closer look at ACD examples of Nakanishi’s type in fact yields a new argument against the scope theory. I conclude that English sentential even must always be interpreted in its pronounced position. The patterns of focus association with even presented here constitute a new argument for the copy theory of movement. (shrink)

In this paper, I offer a novel solution to the well-known problem concerning two polarity items in Korean, amu-(N)-to and amu-(N)-rato, that show a complementary distribution within the set of typical NPI-licensing contexts. I present a uniform analysis of the distribution of these NPIs, where the complementary distribution follows from the opposite scope properties of the emphatic particles to and rato contained in the NPIs in question. As the- oretical background, I adopt Karttunen and Peters’s (1979, Syntax and Semantics 11: (...) Presuppositions (pp. 1–56). New York: Academic Press) and Wilkinson’s (1996, Natural Language Semantics, 4, 193–215) scope analysis of even, Lahiri’s (1998, Natural Language Semantics, 6, 57–127) analysis of Hindi NPIs, and Guerzoni’s (2002, Proceedings of NELS 32 (pp. 153–170); GLSA, University of Massachusetts, Amherst, Mass.; 2004, Natural Language Semantics, 12, 319–343) analysis of the negative bias of yes/no-questions containing minimizers. The current analysis also lends further support to Guerzoni’s approach in that it bears out the prediction that in certain environments, a yes/no-question can be positively biased, i.e., only the positive answer is allowed as a legitimate answer in the context; this prediction was left unconfirmed in Guerzoni’s work. (shrink)

This paper explores the role that the scalar properties and presuppositions of even play in creating polarity sensitive even meanings crosslinguistically (henceforth EVEN). I discuss the behavior of three lexically distinct Greek counterparts of even in positive, negative, subjunctive sentences, and polar questions. These items are shown to be polarity sensitive, and a three-way distinction is posited between a positive polarity (akomi ke), a negative polarity (oute), and a ‘flexible scale’even(esto) which does not introduce likelihood, but is associated with scales (...) made salient by the context. The analysis is a refinement of Rooth’s original idea that negative polarity is involved in the interpretation of English even, and establishes further that the “negative” polarity domain of EVEN includes a sensitivity that is not strictly speaking negative (flexible scale esto). The distributional restrictions of EVEN items are shown to follow from distinct presuppositions (positive polarity and flexible scale EVEN), or from their lexical featural specification (negative polarity EVEN), a result that squares neatly with the fact that ill-formedness is systematic pragmatic deviance in the former case but robust ungrammaticality in the latter. This result supports the by now widely accepted view that polarity dependencies are not of uniform nature, and that we need to distinguish presupposition failures (which are weaker and possibly.. (shrink)

We discuss a phenomenon that appears when ‘even’ occurs in questions. Specifically, an inference of what we call “extreme ignorance” is projected onto the speaker. We argue that this effect arises when the known unlikelihood ‘even’ focuses an entire question, resulting in the focused question being the least likely to be asked. Specific implicatures then conspire to bring about the inference that the speaker does not know the answer to the question that is most expected to be known. The environments (...) explored are Wh-questions and Y/N questions, and the languages looked at primarily English, Greek, German and Russian. (shrink)

Next SectionBy discussing a novel paradigm, it is shown that the likeliness of an operator to trigger an intervention effect in a wh-in-situ question is determined by the logical properties of that operator (contra Beck 1996a, 2006, for instance). A new empirical generalization accounting for the differences between operators in their ability to cause intervention and improving on existing analyses is suggested. This generalization is fully predictive and allows one to not have to list in the lexicon whether an intervener (...) is problematic or not. It is implemented as a formal condition on wh-questions in a version of Hamblin 1973's/Karttunen 1977's question semantics that makes crucial use of Chierchia 2006's domain alternatives. (shrink)

The distribution of the focus particle even is constrained: if it is adjoined at surface structure to an expression that is entailed by its focus alternatives, as in even once, it must be appropriately embedded to be acceptable. This paper focuses on the context-dependent distribution of such occurrences of even in the scope of non-monotone quantifiers. We show that it is explained on the assumption that even can move at LF Syntax and semantics, 1979). The analysis is subsequently extended to (...) occurrences of negative polarity items in these environments, which mirror the abovementioned distribution of even and which invalidate standard characterizations of NPI licensing conditions in terms of downward-entailingness. The idea behind the extension is that NPIs denote weak elements that are associates of covert even. The paper concludes by discussing two comprehensive theories of NPI licensing and how our proposal relates to them. (shrink)