Kit Fine has reawakened a puzzle about variables with a long history in analytic philosophy, labeling it “the antinomy of the variable”. Fine suggests that the antinomy demands a reconceptualization of the role of variables in mathematics, natural language semantics, and first-order logic. The difficulty arises because: (i) the variables ‘x’ and ‘y’ cannot be synonymous, since they make different contributions when they jointly occur within a sentence, but (ii) there is a strong temptation to say that distinct variables ‘x’ (...) and ‘y’ are synonymous, since sentences differing by the total, proper substitution of ‘x’ for ‘y’ always agree in meaning. We offer a precise interpretation of the challenge posed by (i) and (ii). We then develop some neglected passages of Tarski to show that his semantics for variables has the resources to resolve the antinomy without abandoning standard compositional semantics. (shrink)

Structured propositions are often invoked to explain why intensionally equivalent sentences do not substitute salva veritate into attitude ascriptions. As the semantics is standardly developed—for example, in Salmon, Soames :47–87, 1987) and King :516–535, 1995), the semantic value of a complex expression is an ordered complex consisting of the semantic values of its components. Such views, however, trivialize semantic composition since they do not allow for independent constraints on the meaning of complexes. Trivializing semantic composition risks “trivializing semantics” Semantics versus (...) pragmatics, Oxford University Press, Oxford, 2005). Yet, proponents of structured propositions suggest a route to reimpose substantive compositionality. While the mapping from a sentence to the structured proposition it expresses is trivially compositional, there is a non-trivial mapping from the structured proposition to its truth-value. This non-trivial level of semantic composition allows the meanings assigned to complex expressions to impose substantive constraints on the meanings of the simple ones. I first articulate the basic desiderata: an account of structured propositions capable of explaining attitude attributions and of delivering a non-trivially compositional semantics. I then show that the two-stage semantics proposed by standard proponents of structured propositions does not satisfy these joint goals. (shrink)

Semantics in the Montagovian tradition combines two basic tenets. One tenet is that the semantic value of a sentence is an intension, a function from points of evaluations into truth-values. The other tenet is that the semantic value of a composite expression is the result of applying the function denoted by one component to arguments denoted by the other components. Many philosophers object to intensional semantics on the grounds that intensionally equivalent sentences do not substitute salva veritate into attitude ascriptions. (...) They propose instead that the semantic values of sentences must be structured propositions. In rejecting intensional semantics, philosophers who endorse structured propositions also usually reject functional compositionality, undermining both tenets of the Montagovian programme. I defend a semantic theory that incorporates both structured propositions and functional compositionality. I argue that this semantic theory can preserve many explanatory benefits of Montague semantics. Finally, I show how treating composition functional application can resolve core problems internal to a theory of structured propositions. (shrink)

There are two dominant approaches to quantification: the Fregean and the Tarskian. While the Tarskian approach is standard and familiar, deep conceptual objections have been pressed against its employment of variables as genuine syntactic and semantic units. Because they do not explicitly rely on variables, Fregean approaches are held to avoid these worries. The apparent result is that the Fregean can deliver something that the Tarskian is unable to, namely a compositional semantic treatment of quantification centered on truth and reference. (...) We argue that the Fregean approach faces the same choice: abandon compositionality or abandon the centrality of truth and reference to semantic theory. Indeed, we argue that developing a fully compositional semantics in the tradition of Frege leads to a typographic variant of the most radical of Tarskian views: variabilism, the view that names should be modeled as Tarskian variables. We conclude with the consequences of this result for Frege's distinction between sense and reference. (shrink)

Each of our theories of mental representation provides some insight into how the mind works. However, these insights often seem incompatible, as the debates between symbolic, dynamical, emergentist, sub-symbolic, and grounded approaches to cognition attest. Mental representations—whatever they are—must share many features with each of our theories of representation, and yet there are few hypotheses about how a synthesis could be possible. Here, I develop a theory of the underpinnings of symbolic cognition that shows how sub-symbolic dynamics may give rise (...) to higher-level cognitive representations of structures, systems of knowledge, and algorithmic processes. This theory implements a version of conceptual role semantics by positing an internal universal representation language in which learners may create mental models to capture dynamics they observe in the world. The theory formalizes one account of how truly novel conceptual content may arise, allowing us to explain how even elementary logical and computational operations may be learned from a more primitive basis. I provide an implementation that learns to represent a variety of structures, including logic, number, kinship trees, regular languages, context-free languages, domains of theories like magnetism, dominance hierarchies, list structures, quantification, and computational primitives like repetition, reversal, and recursion. This account is based on simple discrete dynamical processes that could be implemented in a variety of different physical or biological systems. In particular, I describe how the required dynamics can be directly implemented in a connectionist framework. The resulting theory provides an “assembly language” for cognition, where high-level theories of symbolic computation can be implemented in simple dynamics that themselves could be encoded in biologically plausible systems. (shrink)

In this paper I assume that syntactic structures contain items that function as variables over possible worlds (or things like possible worlds). I show that in certain syntactic positions we can use some variables but not other. I accordingly motivate a "binding theory" for the items that occupy these positions, and I discuss some consequences of this binding theory.

Traditional procedures for rational updating fail when it comes to self-locating opinions, such as your credences about where you are and what time it is. This paper develops an updating procedure for rational agents with self-locating beliefs. In short, I argue that rational updating can be factored into two steps. The first step uses information you recall from your previous self to form a hypothetical credence distribution, and the second step changes this hypothetical distribution to reflect information you have genuinely (...) learned as time has passed. While the second step resembles traditional procedures of updating by conditionalization, the first is best understood by analogy to traditional models of how agents transmit self-locating opinions through ordinary interpersonal communication. (shrink)

This paper investigates how regular pronominal typology interfaces with de se and de re interpretations, and highlights a correlation between strong pronouns and de re interpretations, and weak pronouns and de se interpretations. In order to illustrate this correlation, I contrast different pronominal forms within a single language, null versus overt pronouns in Kutchi Gujarati, and clitic versus full pronouns in Austrian Bavarian. I argue that the data presented here provide cross-linguistic comparative support for the idea of a dedicated de (...) se LF as argued for by Percus and Sauerland. (shrink)

This paper investigates how regular pronominal typology interfaces with de se and de re interpretations, and highlights a correlation between strong pronouns and de re interpretations, and weak pronouns and de se interpretations. In order to illustrate this correlation, I contrast different pronominal forms within a single language, null versus overt pronouns in Kutchi Gujarati, and clitic versus full pronouns in Austrian Bavarian. I argue that the data presented here provide cross-linguistic comparative support for the idea of a dedicated de (...) se LF as argued for by Percus and Sauerland. (shrink)

The point of formalisation is to model various aspects of natural language. Perhaps the main use to which formalisation is put is to model and explain inferential relations between different sentences. Judged solely by this objective, a formalisation is successful in modelling the inferential network of natural language sentences to the extent that it mirrors this network. There is surprisingly little literature on the criteria of good formalisation, and even less on the question of what it is for a formalisation (...) to mirror the inferential network of a natural language or some fragment of it. This paper takes some exploratory steps towards a quantitative account of the main ingredient in the goodness of a formalisation. We introduce and critically examine a mathematical model of how well a formalisation mirrors natural-language inferential relations. (shrink)

Formal semantics is an approach to SEMANTICS1, the study of meaning, with roots in logic, the philosophy of language, and linguistics, and since the 1980’s a core area of linguistic theory. Characteristics of formal semantics to be treated in this article include the following: Formal semanticists treat meaning as mind-independent (though abstract), contrasting with the view of meanings as concepts “in the head” (see I-LANGUAGE AND E-LANGUAGE and MEANING EXTERNALISM AND INTERNALISM); formal semanticists distinguish semantics from knowledge of semantics (Lewis (...) 1975, Cresswell 1978), which has consequences for the notion of semantic COMPETENCE. A central part of the meaning of a sentence on this approach is its TRUTH CONDITIONS, and most although not all formal semantics is model-theoretic, relating linguistic expressions to model-theoretically constructed semantic values cast in terms of truth, REFERENCE, and possible worlds. This sets formal semantics apart from approaches which view semantics as relating a sentence just to a representation on another linguistic “level” (LOGICAL FORM) or a representation in an innate LANGUAGE OF THOUGHT. The formal semanticist could accept such representations as an aspect of semantics but would insist on asking what the model-theoretic semantic interpretation of the given representationlanguage is (Lewis 1970). Formal semantics is centrally concerned with COMPOSITIONALITY at the SYNTAX-SEMANTICS INTERFACE, how the meanings of larger constituents are built up from the meanings of their parts on the basis of their syntactic structure, and with the relation between compositional SENTENCE MEANING and meaning in discourse. (shrink)

Formal semantics and pragmatics as they have developed since the late 1960's have been shaped by fruitful interdisciplinary collaboration among linguists, philosophers, and logicians, among others, and in turn have had noticeable effects on developments in syntax, philosophy of language, computational linguistics, and cognitive science.In this paper I describe the environment in which formal semantics was born and took root, highlighting the differences in ways of thinking about natural language semantics in linguistics and in philosophy and logic. With Montague as (...) a central but not solo player in the story, I reflect on crucial developments in the 1960's and 70's in linguistics and philosophy, and the growth of formal semantics and formal pragmatics from there. I discuss innovations, key players, and leading ideas that shaped the development of formal semantics and its relation to syntax, to pragmatics, and to the philosophy of language in its early years, and some central aspects of its early impact on those fields. (shrink)

This paper starts from the observation that the standard arguments for compositionality are really arguments for the computability of semantics. Since computability does not entail compositionality, the question of what justifies compositionality recurs. The paper then elaborates on the idea of recursive semantics as corresponding to computable semantics. It is then shown by means of time complexity theory and with the use of term rewriting as systems of semantic computation, that syntactically unrestricted, noncompositional recursive semantics leads to computational explosion (factorial (...) complexity). Hence, with combinatorially unrestricted syntax, semantics with tractable time complexity is compositional. (shrink)

This paper argues that, given a simple [DP VP] sentence, the availability of a collective interpretation crucially depends on the syntactic and semantic properties of the subject DP, specifically the presence versus absence of a pluralizing function that makes the collective interpretation available. In support of my claim, I present Lebanese Arabic and Western Armenian examples in which an indefinite DP contains a cardinal numeral and there is no overt distributivity operator but the interpretation of the sentence is nevertheless obligatorily (...) distributive, regardless of the predicate. I show that neither a distributivity operator within the DP nor one on the predicate can explain this strictly distributive interpretation. Instead, I argue that in order to allow a collective interpretation, an indefinite DP must denote a quantifier over pluralities, a condition that is not always met in numeral-containing indefinite DPs. While the claims in this paper are based primarily on observations from Lebanese Arabic and Western Armenian, because both are morphologically rich languages, the fact that this constraint is operative in these two unrelated languages, in addition to striking similarities to the Russian gender system, suggest that it is an inherent property of DPs crosslinguistically. (shrink)

This paper defends Lewis’ influential treatment of de se attitudes from recent criticism to the effect that a key explanatory notion—self-ascription—goes unexplained. It is shown that Lewis’ treatment can be reconstructed in a way which provides clear responses. This sheds light on the explanatory ambitions of those engaged in Lewis’ project.

One of the big questions about indefinites is why they can escape scope islands. In the recent approach of Brasoveanu and Farkas :1–55, 2011) scopal relations with syntactically dominating quantifiers are hard wired into the semantic definition of the existential quantifier, which immediately explains why the semantic scope of indefinites may exceed their syntactic scope. In this paper, I argue for the revival of an alternative approach which places the explanatory burden on the idea that indefinites are essentially referential expressions, (...) similar to definites, and not plain existential quantifiers. I propose one fully explicit variant of such theories and argue that it comes with a number of conceptual and empirical advantages over competing theories. (shrink)

This article discusses what may be referred to as ``adjectival relatives''''in Japanese and related constructions in other languages (such asadjectival passives in English). The most intriguing characteristicof this construction is that the verb contained in it occurs in the pasttense form, but its primary role is to describe a state that obtains atthe local evaluation time, rather than the past event that producedthis state. In fact, in some cases, the putative event that presumablyproduced the target state is non-existent, and the (...) entire constructionreceives a purely stative interpretation. In other words, it is possiblefor an adjectival relative to describe a target state without having itstriggering event. The proposal I put forth in the article states that whatI refer to as an adjectival relative does not have a clausal structure.It rather has a verbal projection (technically a Tense Phrase, or TP). Mod(the modifier head) then combined with TP to yield a MP (modifierphrase), which denotes a property of states that appear to have resultedfrom an event the verb describes. In order to reach this conclusion, I adopttwo additional ideas: (i) Kratzer''s (1996) idea that the so-called externalargument of a verb is not really its argument at all; (ii) direct causationdoes not have to be overtly represented in natural language syntax (Bittner1999). Having incorporated these two ideas, the proposal explains therelation between the state that the adjectival relative describes and theputative event as a modal one, thereby accounting for the non-existenceof putative past events in some examples. (shrink)

I have two aims for the present paper, one narrow and one broad. The narrow aim is to show that a class of data originally described by Lynsey Wolter empirically undermine the leading treatments of complex demonstratives that have been described in the literature. The broader aim of the paper is to show that Wolter demonstratives, as I will call the constructions I focus on, are a threat not just to existing treatments, but to any possible theory that retains the (...) uncontroversial assumptions that relative clauses always form a constituent with the nouns they modify, and that semantic composition proceeds sequentially and locally, with the inputs to interpretation having the structure syntax tells us they do. (shrink)

Recently, philosophers have offered compelling reasons to think that demonstratives are best represented as variables, sensitive not to the context of utterance, but to a variable assignment. Variablists typically explain familiar intuitions about demonstratives—intuitions that suggest that what is said by way of a demonstrative sentence varies systematically over contexts—by claiming that contexts initialize a particular assignment of values to variables. I argue that we do not need to link context and the assignment parameter in this way, and that we (...) would do better not to. (shrink)

Most philosophers recognize that applying the standard semantics for complex demonstratives to non-deictic instances results in truth conditions that are anomalous, at best. This fact has generated little concern, however, since most philosophers treat non-deictic demonstratives as marginal cases, and believe that they should be analyzed using a distinct semantic mechanism. In this paper, I argue that non-deictic demonstratives cannot be written off; they are widespread in English and foreign languages, and must be treated using the same semantic machinery that (...) is applied to deictic instances. (shrink)

Standard semantic theories predict that non-deictic readings for complex demonstratives should be much more widely available than they in fact are. If such readings are the result of a lexical ambiguity, as Kaplan (1977) and others suggest, we should expect them to be available wherever a definite description can be used. The same prediction follows from ‘hidden argument’ theories like the ones described by King (2001) and Elbourne (2005). Wolter (2006), however, has shown that complex demonstratives admit non-deictic interpretations only (...) when a precise set of structural constrains are met. In this paper, I argue that Wolter’s results, properly understood, upend the philosophical status quo. They fatally undermine the ambiguity theory and demand a fundamental rethinking of the hidden argument approach. (shrink)

This paper is about the relationship between two questions: the question of what the objects of assertion are and the question of how best to theorise about ‘shifty’ phenomena like modality and tense. I argue that the relationship between these two questions is less direct than is often supposed. I then explore the consequences of this for a number of debates in the philosophy of language.

This paper investigates how the distribution of negative polarity items can inform our understanding of the underlying semantic representation of constituent questions. It argues that the distribution of NPIs in questions is governed by the same logical properties that govern their distribution in declarative constructions. Building on an observation due to Guerzoni and Sharvit that strength of exhaustivity in questions correlates with the acceptability of NPIs, I propose a revision of the semantics of questions that can explain this link in (...) terms already familiar from the literature of negative polarity, namely the availability of a local downward entailing environment. I argue for a new theory of questions that takes strength of exhaustivity to be encoded internal to the question nucleus rather than in different answer-hood operators. This switch, while conceptually a simple move, has far-reaching consequences in the domain of questions. I also show how this new analysis can account for a host of issues related to NPIs, such as the subject–object asymmetry noted by Han and Siegel, the interaction between NPIs and high versus low wh-adjuncts, the varying acceptability of NPIs in the restrictor of which-phrases, and the contrast between weak and strong NPIs. (shrink)

Bare plural generic sentences pervade ordinary talk. And yet it is extremely controversial what semantics to assign to such sentences. In this paper, I achieve two tasks. First, I develop a novel classification of the various standard uses to which bare plurals may be put. This “variety data” is important—it gives rise to much of the difficulty in systematically theorizing about bare plurals. Second, I develop a novel account of bare plurals, the radical account. On this account, all bare plurals (...) fail to express propositions. The content of a bare plural has to be pragmatically “completed” by a speaker in order for her to make an assertion. At least the content of a quantifier expression has to be supplied. But sometimes, the content of a sentential operator or modal verb is also supplied. The radical account straightforwardly explains the variety data: Speakers’ communicative intentions vary wildly across different contexts. (shrink)

In this paper, I address a series of arguments recently put forward by Cappelen Review of Philosophy and Psychology 8: 743–762 to the effect that philosophers should not do formal semantics or be concerned with the “minutiae of natural language semantics”. He offers two paths for accessing his ideas. I argue that his arguments fail in favour of the first and cast some doubt on the second in so doing. I then proffer an alternative conception of why exactly philosophers should (...) continue to do formal linguistics which includes both semantics and syntax. (shrink)

In their recent book, Ladyman and Wiesner (What is a complex system?, Yale University Press, 2020) delineate the bounds of the exciting interdisciplinary field of complexity science. In this work, they provide examples of generally accepted complex systems and common features which these possess to varying degrees. In this paper, I plan to extend their list to include the formal study of natural language, i.e. linguistics. In fact, I will argue that language exhibits many of the hallmarks of a complex (...) system, specifically a complex biological system. Thus, my aim is to advocate contra the the ‘Minimalist Program’ (Chomsky, The minimalist program, MIT Press, Cambridge, 1995), which motivates simple underlying mechanisms (i.e. Merge) in their idealisations, that biolinguistics should embrace a ‘Maximalist Program’ in which multiple subfields contribute component explanations to an emerging whole. (shrink)

In this paper, I utilise the growing literature on scientific modelling to investigate the nature of formal semantics from the perspective of the philosophy of science. Specifically, I incorporate the inferential framework proposed by Bueno and Colyvan : 345–374, 2011) in the philosophy of applied mathematics to offer an account of how formal semantics explains and models its data. This view produces a picture of formal semantic models as involving an embedded process of inference and representation applying indirectly to linguistic (...) phenomena. The final aim of the paper is directed at proposing a novel account of the syntax–semantics interface while shedding light on empty categories, semantically null forms, underspecified content and compositionality as a whole. (shrink)

This paper attempts to describe and address a specific puzzle related to compositionality in artificial networks such as Deep Neural Networks and machine learning in general. The puzzle identified here touches on a larger debate in Artificial Intelligence related to epistemic opacity but specifically focuses on computational applications of human level linguistic abilities or properties and a special difficulty with relation to these. Thus, the resulting issue is both general and unique. A partial solution is suggested.

The standard view of "believes" and other propositional attitude verbs is that such verbs express relations between agents and propositions. A sentence of the form “S believes that p” is true just in case S stands in the belief-relation to the proposition that p; this proposition is the referent of the complement clause "that p." On this view, we would expect the clausal complements of propositional attitude verbs to be freely intersubstitutable with their corresponding proposition descriptions—e.g., "the proposition that p"—as (...) they are in the case of "believes." In many cases, however, intersubstitution of that-clauses and proposition descriptions fails to preserve truth value or even grammaticality. These substitution failures lead some philosophers to reject the standard view of propositional attitude reports. Others conclude that propositional attitude verbs are systematically ambiguous. I reject both these views. On my view, the that-clause complements of propositional attitude verbs denote propositions, but proposition descriptions do not. (shrink)

In his “Meaning and Formal Semantics in Generative Grammar” (Erkenntnis 2015, 61–87), Stephen Schiffer argues that truth-conditional semantics is a poor fit with generative linguistics. In particular, he thinks that it fails to explain speakers’ abilities to understand the sentences of their language. In its place, he recommends his “Best Bet Theory”—a theory which aims to directly explain speakers’ abilities to mean things by their utterances and know what others mean by their utterances. I argue that Schiffer does not provide (...) good reason to prefer the Best Bet Theory over truth-conditional semantics in the context of generative linguistics. First, his negative arguments against the truth-conditional approach are unpersuasive, and second, the Best Bet Theory involves an explanatory circularity which makes it unfit for linguistic theorizing. I conclude that the Best Bet Theory is thus not even a viable competitor to truth-conditional semantics in generative linguistics. (shrink)

In this paper, I argue that while truth-conditional semantics in generative linguistics provides lots of good semantic explanations, truth-conditions do not play an important role in these explanations. That is, the fact that expressions have the particular truthconditional contents they have does not even partly explain facts about semantic phenomena. Rather, explanations of semantic phenomena appeal to extra-truth-conditional properties attributed to expressions via their lexical entries. Focusing on recent truth-conditional work on gradable adjectives and degree modifiers by Kennedy and McNally, (...) I show that the best explanations of semantic anomaly and entailment for these expressions are non-truth-conditional—they do not depend on the fact that these expressions have the truth-conditional contents they have. I then provide reasons for thinking that the point generalizes beyond gradable adjectives and degree modifiers to other expressions, and beyond anomaly and entailment to other semantic phenomena. Truth-conditional content, generally, is extrasemantic. (shrink)

This paper argues against Zoltán Szabó’s claim in “Compositionality as Supervenience” that we ought to understand the principle of compositionality as the idea that in natural language, the meanings of complex expressions strongly supervene on the meanings of their constituents and how the constituents are combined. The argument is that if we understand compositionality Szabó’s way, then compositionality can play no role in explanations of the acquirability of natural languages, because it makes these explanations circular. This, in turn, would undermine (...) the primary motivation for thinking that natural language is compositional, and would thus undermine the importance of the principle in natural language semantics. Thus, even if Szabó’s reading of the principle best accords with theorists’ intuitions about what sorts of languages are compositional—as he claims it does—there is good reason to reject that reading. Finally, the paper defends the claim that we ought to think of the principle as the idea that in natural language, the meanings of complexes weakly supervene on the meanings of their constituents and how they are combined. (shrink)

Recently, von Fintel (2001) and Gillies (2007) have argued that certain sequences of counterfactuals, namely reverse Sobel sequences, should motivate us to abandon standard truth conditional theories of counterfactuals for dynamic semantic theories. I argue that we can give a pragmatic account of our judgments about counterfactuals without giving up the standard semantics. In particular, I introduce a pragmatic principle governing assertability, and I use this principle to explain a variety of subtle data concerning reverse Sobel sequences.

Arguments against the Russellian theory of definite descriptions based on cases that involve failures of uniqueness are a recurrent theme in the relevant literature. In this paper, I discuss a number of such arguments, from Strawson (1950), Ramachandran (1993) and Szabo (2005). I argue that the Russellian has resources to account for these data by deploying a variety of mechanisms of quantifier domain restrictions. Finally, I present a case that is more problematic for the Russellian. While the previous cases all (...) involve referential uses of descriptions (or some variations of such uses), the most effective objection to the uniqueness condition draws on genuine attributive uses. (shrink)

Unbound anaphoric pronouns or ‘E-type pronouns’ have presented notorious problems for semantic theory, leading to the development of dynamic semantics, where the primary function of a sentence is not considered that of expressing a proposition that may act as the object of propositional attitudes, but rather that of changing the current information state. The older, ‘E-type’ account of unbound anaphora leaves the traditional notion of proposition intact and takes the unbound anaphor to be replaced by a full NP whose semantics (...) is assumed to be known (e.g. a definite description). In this paper, I argue that there are serious problems with any version of the E-type account as well as the (original form of the) dynamic account. I will explore a new account based on structured propositions, which can be considered a conservative extension of a traditional proposition-based semantics, but which at the same time incorporates some crucial insights of the dynamic account. (shrink)

As an empirical inquiry into the nature of meaning, semantics must rely on data. Unfortunately, the primary data to which philosophers and linguists have traditionally appealed—judgments on the truth and falsity of sentences—have long been known to vary widely between competent speakers in a number of interesting cases. The present article constitutes an experiment in how to obtain some more consistent data for the enterprise of semantics. Specifically, it argues from some widely accepted Gricean premises to the conclusion that judgments (...) on lying are semantically relevant. It then endeavors to show how, assuming the relevance of such judgments, we can use them to generate a useful, widely acceptable test for semantic content. (shrink)

This paper deals with the interpretation and distribution of universal Free Choice (FC) items, such as English FC any or Spanish cualquiera. Crosslinguistically, universal FC items can be characterized as follows. First, they have a restricted distribution. Second, they express freedom of choice: the sentence You can take any card conveys the information that the addressee is free to pick whichever card she chooses. Under standard assumptions, the truth conditions of sentences like You can take any card are taken to (...) be captured by formalizations in which a universal quantifier ranging over individuals has wide scope over the possibility modal. The crucial observation that informs the account in this paper is that this type of formalization cannot capture the freedom of choice component. I will argue that in order to derive the right interaction between possibility modals and FC items, we need to add an exclusiveness condition to the standard wide scope paraphrases. The same proposal that guarantees freedom of choice will automatically account for the distribution restrictions of FC items. The formal implementation of this proposal is cast in the Hamblin semantics proposed in Kratzer and Shimoyama (Indeterminate phrases: The view from Japanese, 2002). (shrink)

In this paper, I provide a compositional semantics for sentences with enough and too followed by a to-infinitive clause and for resultative constructions with so... that within the framework of possible world semantics. It is proposed that the sentential complement of these constructions denotes an incomplete conditional and is explicitly or implicitly modalized, as if it were the consequent of a complete conditional. Enough, too, and so are quantifiers that relate an extent predicate and the incomplete conditional (expressed by the (...) sentential complement) and are interpreted as comparisons between two extents. The first extent is the maximal extent that satisfies the extent predicate. The second extent is the minimal or maximal extent of a set of extents that satisfy the (hidden) conditional, where the sentential complement supplies the consequent and the main clause the antecedent. This approach permits to predict (a) the context-dependent interpretation of these constructions and (b) the duality relations between the degree words. (shrink)

ABSTRACT A crucial issue in the debate about the correct treatment of natural language tense concerns covert variables: do we have reason to think there are any in the syntax, as the quantifier theorist maintains? If not, it seems we can quickly discount the quantifier theory from consideration, without even considering the data in its favour. And, indeed, there is a good reason to doubt that there are such variables: contemporary syntactic theory, notably, does not seem to posit them. I (...) respond to this argument going from the premise that positing covert variables is illicit to the conclusion that quantifier theories of tense are false. I argue that the argument fails by suggesting a non-committal understanding of the process of positing covert variables. On this view, even if we are not doing fundamental syntax in so positing, nevertheless there is a reason to think we are doing something theoretically productive, because it seems like an important part of the practice of semantics and because it seems like semantics is a discipline which is making progress. The progress of semantics supports the methodology of positing variables at its heart; the quantifier theorist of tense, accordingly, need not worry about their syntactic commitments. (shrink)

Richard Heck, Jr has recently argued against Russellianism about proper names not in the usual way—by appeal to “intuitions” about the truth conditions of “that”-clause belief ascriptions—but by appeal to our need to specify beliefs in a way that reflects their individuation. Since beliefs are individuated by their psychological roles and not their Russellian contents, he argues, Russellianism is precluded in principle from accounting for our ability to specify beliefs in ordinary language. I argue that Heck thus makes things easier (...) for the Russellian. For by framing the issue as one concerning the specificatory powers of ordinary language in general, rather than just of “that”-clause ascriptions, Heck weakens the implications of any claim about the semantics of that one type of belief-specifying locution. I augment this diagnosis with a positive account of the specificatory usefulness, and attested commonness, of (partly or wholly) quotational belief ascriptions, e.g. “Lois believes that ‘Superman’ is at the meeting.” This proposal is not of the usual sort concerning such locutions since it does not involve the (dubious) claim that they are in some way equivalent to “that”-clause ascriptions. (shrink)

The presence of contrastive focus on pronouns interpreted as bound variables is puzzling. Bound variables do not refer, and it is therefore unclear how two of them can be made to contrast with each other. It is argued that this is a problem for both alternative-based accounts such as Rooth’s (Nat Lang Semantics 1:75–116, 1992) and givenness-based ones such as Schwarzschild’s (Nat Lang Semantics 7:141–177, 1999). The present paper shows that previous approaches to this puzzle face an empirical problem, namely (...) the co-occurrence of additive too and focus on bound pronouns. Our account is based on the idea that the alternatives introduced by focused bound pronouns denote individuals. Putting forward the novel concept of compositional reconstruction, we show that a suitably modified Roothian analysis of focus licensing allows us to get bound pronouns to contrast with other bound pronouns. The reason for this is that the number of potential alternatives increases. We also suggest a modification of Rooth’s ~-operator: contrastiveness becomes a requirement of the operator, which is modelled as a definedness condition. It is argued that in the case of focused bound pronouns a ~-operator is necessarily inserted in the scope of the quantifier. If this is on the right track, it follows that the phenomenon of focused bound pronouns warrants both an operator interpreting focus as well as a semantic value for the contribution of focus. Any givenness-based analysis must include these two ingredients as well; we suggest a way in which this can be implemented more or less straightforwardly. (shrink)

In this paper I provide novel arguments for the predicative approach to proper names, which claims that argument proper names are definite descriptions containing a naming predicate . I first argue that modified proper names, such as the incomparable Maria Callas or the other Francis Bacon cannot be handled on the hypothesis that argument proper names have no internal structure and uniformly denote entities. I then discuss cases like every Adolf, which would normally be interpreted as every individual named Adolf (...) and show that the predicative approach to proper names can straightforwardly account for the distribution of a detectable naming component in proper names. Finally, I address the issue of proper names used as common nouns and plural proper names and demonstrate that they do not form a homogenous group yet can be clearly distinguished on both syntactic and semantic grounds from proper names involving a detectable naming component. (shrink)

The standard analysis of quantification says that determiner quantifiers (such as every) take an NP predicate and create a generalized quantifier. The goal of this paper is to subject these beliefs to crosslinguistic scrutiny. I begin by showing that in St'á'imcets (Lillooet Salish), quantifiers always require sisters of argumental type, and the creation of a generalized quantifier from an NP predicate always proceeds in two steps rather than one. I then explicitly adopt the strong null hypothesis that the denotations of (...) quantifiers should be crosslinguistically uniform. Since the Salish data cannot be captured by the usual analysis of English, I pursue the idea that English is reducible to the Salish pattern. Reanalysis of many English constructions is required. I argue that the reanalysis has advantages over the standard analysis for partitives, as well as for non-partitive all- and most-phrases, which I analyze as containing bare plurals of argumental type. Even where the new analysis faces some challenges (for example, with every), the attempt still leads to fruitful results. It forces us to view familiar constructions in a new light, and to redefine, I believe correctly, which quantificational constructions are ‘basic’ and which stand in need of further explanation. (shrink)

While proper names in argument positions have received a lot of attention, this cannot be said about proper names in the naming construction, as in “Call me Al”. I argue that in a number of more or less familiar languages the syntax of naming constructions is such that proper names there have to be analyzed as predicates, whose content mentions the name itself (cf. “quotation theories”). If proper names can enter syntax as predicates, then in argument positions they should have (...) a complex structure, consisting of a determiner and its restriction, like common nouns (cf. “definite description theories of proper names”). Further consideration of the compositional semantics of proper names in the naming construction also shows that they have another argument slot, that of the naming convention. As a result, we will be able to account for the indexicality of proper names in argument positions and provide compositional semantics of complex and modified proper names (e.g., the famous detective Sherlock Holmes ). (shrink)

A disjunctive sentence like Olivia took Logic or Algebra conveys that Olivia didn’t take both classes and that the speaker doesn’t know which of the two classes she took. The corresponding sentence with a possibility modal, Olivia can take Logic or Algebra, conveys instead that she can take Logic and that she can take Algebra. These exclusivity, ignorance and free choice inferences are argued by many to be scalar implicatures. Recent work has looked at cases in which exclusivity and ignorance (...) appear to be computed instead at the presupposition level, independently from the assertion. On the basis of those data, Spector and Sudo :473–517, 2017) have argued for a hybrid account relying on a pragmatic principle for deriving implicatures in the presupposition. In this paper, we observe that a sentence like Noah is unaware that Olivia can take Logic or Algebra has a reading on which free choice appears in the presupposition, but not in the assertion, and we show that deriving this reading is challenging on Spector and Sudo’s hybrid account. Following the dialectic in Fox, we argue against a pragmatic approach to presupposition-based implicatures on the ground that it is not able to account for presupposed free choice. In addition, we raise a novel challenge for Spector and Sudo’s account coming from the conflicting presupposed ignorance triggered by sentences like #Noah is unaware that I have a son or a daughter, which is infelicitous even if it’s not common knowledge whether the speaker has a son or a daughter. More generally, our data reveals a systematic parallelism between the assertion and presupposition levels in terms of exclusivity, ignorance, and free choice. We argue that such parallels call for a unified analysis and we sketch how a grammatical theory of implicatures where meaning strengthening operates in a similar way at both levels :31–57, 2012; Magri in A theory of individual-level predicates based on blind mandatory scalar implicatures, MIT dissertation, 2009; Marty in Implicatures in the DP domain, MIT dissertation, 2017) can account for such parallels. (shrink)

I explore the logic of the conditional, using credence judgments to argue against Duality and in favor of Conditional Excluded Middle. I then explore how to give a theory of the conditional which validates the latter and not the former, developing a variant on Kratzer (1981)'s restrictor theory, as well as a proposal which combines Stalnaker (1968)'s theory of the conditional with the theory of epistemic modals I develop in Mandelkern 2019a. I argue that the latter approach fits naturally with (...) a conception of conditionals as referential devices which allow us to talk about particular worlds. (shrink)

What does 'might' mean? One hypothesis is that 'It might be raining' is essentially an avowal of ignorance like 'For all I know, it's raining'. But it turns out these two constructions embed in different ways, in particular as parts of larger constructions like Wittgenstein's 'It might be raining and it's not' and Moore's 'It's raining and I don't know it', respectively. A variety of approaches have been developed to account for those differences. All approaches agree that both Moore sentences (...) and Wittgenstein sentences are classically consistent. In this paper I argue against this consensus. I adduce a variety of new data which I argue can best be accounted for if we treat Wittgenstein sentences as being classically inconsistent. This creates a puzzle, since there is decisive reason to think that 'Might p' is classically consistent with 'Not p'. How can it also be that 'Might p and not p' and 'Not p and might p' are classically inconsistent? To make sense of this situation, I propose a new theory of epistemic modals and their interaction with embedding operators. This account makes sense of the subtle embedding behavior of epistemic modals, shedding new light on their meaning and, more broadly, the dynamics of information in natural language. -/- . (shrink)