Determiners

Partee (2009) conjectures a formal semantics for natural language (hereafter, single-type semantics) that interprets CPs and referential DPs in the same semantic type: properties of situations. Partee’s semantics contrasts with Montague semantics and its recent contenders (dubbed dual- or multi-type semantics) which assume distinct basic types for the semantic values of referential DPs (i.e. individuals) and CPs (i.e. propositions, truth-values, or sets of assignment functions). Partee’s conjecture is motivated by results in event semantics and discourse representation theory, which support the (...) indirect uni-directional shiftability between propositions and individuals. However, none of these results supports the identity of the types for individuals and propositions. Our paper improves upon the strength and scope of Partee’s support for single-type semantics. In particular, it identifies a number of new arguments for the adoption of single-type semantics which display this semantics’ greater unificatory and explanatory power. These arguments are based on the ability of single-type semantics to provide a uniform account of the distributional similarities between DPs and CPs, to explain the truth-evaluability of DP fragments, and to capture semantic inclusion relations between CPs and referential DPs. To further support single-type semantics, we defend it against a number of objections. (shrink)

This paper distinguishes between definiteness and determinacy. Definiteness is seen as a morphological category which, in English, marks a uniqueness presupposition, while determinacy consists in denoting an individual. Definite descriptions are argued to be fundamentally predicative, presupposing uniqueness but not existence, and to acquire existential import through general type-shifting operations that apply not only to definites, but also indefinites and possessives. Through these shifts, argumental definite descriptions may become either determinate or indeterminate. The latter option is observed in examples like (...) ‘Anna didn’t give the only invited talk at the conference’, which, on its indeterminate reading, implies that there is nothing in the extension of ‘only invited talk at the conference’. The paper also offers a resolution of the issue of whether possessives are inherently indefinite or definite, suggesting that, like indefinites, they do not mark definiteness lexically, but like definites, they typically yield determinate readings due to a general preference for the shifting operation that produces them. (shrink)

In this paper, we argue that same is fundamentally different from different, in that same imposes a discourse condition on eventualities, while different compares individuals. This difference has not been noted in previous literature. Furthermore, in the literature on same, there has been a persistent puzzle about the contribution of the definite article with which same must co-occur. We show that this puzzle is resolved once the contribution of same is adjusted to apply to eventualities: then the definite article can (...) be interpreted in the usual way, as generating a presupposition about individuals. (shrink)

A singular complex demonstrative is a noun phrase consisting of a token of 'this' or 'that' followed by descriptive text. Gareth Evans notes that a person must utilize sensory information, i.e. signals, to understand tokens of these demonstratives. On the basis of Evans's insight, I develop a theory of complex demonstrative understanding. Our recognition that a specific item is relevant to the evaluation of a demonstrative utterance across all circumstances of evaluation is also crucial to the theory. I explain this (...) by importing David Kaplan's idea of a 'dthat' operation into the realm of thought. Initially, we utilize descriptive content to make a complex demonstrative referent an object of thought, but we proceed to think the item free of this descriptive content. ;Since the theory focuses on the thoughts we employ to understand complex demonstratives and, thereby, their embedding utterances, it is primarily about reference in thought. However, it would be incomplete if it did not address complex demonstrative reference. At the end I argue that enduring sub-sentential linguistic conventions are surrounded by satellite practices. One family of such practices is labeled linguistic instrumentalism. We assign reference to demonstratives in such as way as to maintain expectation of communicative success with them. ;Because complex demonstratives are used in a family of complicated ways, I concentrate on the most basic kind, referent-grounded complex demonstratives . These singular demonstratives are understood directly on the basis of sensory signals, with direct sensory information-based thoughts . As a present tense example, a person sees a car, points, and says, "That car is beautiful." As a past tense example, the next day the person says, "That car was beautiful." According to my theory, we make the referents of these demonstratives objects of thought by thinking of them as standing in a specific position relative to sensory signals received from them. Although I realize that this idea is dismissed by most, and that acceptance of it hinges on developments in functionalist theories of thought organization, I claim that it saves the main appearances better than any other available. (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)

The project of naturalising phenomenology is examined within the larger context of the philosophy of science. Transcendental phenomenology, as defended by Husserl, in opposition to the naturalistic enterprise, reflects a particular way of thinking about philosophy and its relationship to the empirical sciences that stands as an obstacle to the project of naturalisation. This paper develops a critique of a basic assumption made in this conception of philosophy, namely that it is possible to ask and answer questions concerning knowledge in (...) the abstract, prior to and independently of the various investigative contexts which are the immediate concern of practicing scientists. To successfully naturalise phenomenology, we need to abandon this conception of philosophy. (shrink)

The meaning of have is notoriously difficult to define; sometimes it seems to denote possession, but often, it seems to denote nothing, only to complicate composition. This paper focuses on the cases where have embeds a small clause, proposing that all it accomplishes is abstraction, turning the small clause into a predicate. This analysis is extended to the cases where have appears to embed DPs: These objects are interpreted as small clauses as well, with implicit predicates denoting possession or—with relational (...) nouns—nothing. (shrink)

The presence of temporal adjectives in possessive nominals like John's former car creates two interpretations. On one reading, the temporal adjective modifies the common noun (N-modifying reading). On the other, it modifies the possession relation (POSS-modifying reading). An explanation for this behavior is offered that appeals to what occurs in possessive sentences like John has a former car (N-modifying reading) and John formerly had a car (POSS-modifying reading). In the sentential cases, the source of two readings is two distinct, modifiable (...) phrases. Given the parallels, we propose a structure for possessive nominals analogous to that of possessive clauses. Specifically, we argue that such nominals include a locative small-clause structure, following Freeze (1992), and we explain the ambiguity structurally, as a simple matter of where temporal adjectives attach (NP vs. PP). We show that this analysis provides a straightforward basis for the semantic composition of possessive nominals. (shrink)

This paper proposes that elementary reciprocal sentences have four semantic readings: a strongly reciprocal interpretation, a weakly reciprocal interpretation, a situation-based weakly reciprocal reading, and a collective reading. Interpretational possibilities of reciprocal sentences that have been discussed in the literature are identified as one of these four. A compositional semantic analysis of all of these readings is provided in which the reciprocal expression is uniformly represented as 'the other ones among them' (recasting Heim, Lasnik and May 1991a, b). A reciprocal (...) sentence is thus a special kind of relational plural. Interpretational variability comes about by the same mechanisms of plural predication at work in relational plurals: pluralization operators, LF operations like QR, and addition of contextual information. (shrink)

Keenan (1987) observed that trivial determiners built from basic existential determiners (e.g.,either zero or else more than zero) are allowed inthere-insertion contexts, and that trivial determiners built from basic non-existential determiners (e.g.,either all or else not all) are not. This result is unexpected under the analyses ofthere-sentences proposed in Barwise and Cooper (1981), Higginbotham (1987), and Keenan (1987). I argue that the class of NPs barred from the postverbal position ofthere-sentences (strong NPs) is correctly characterized in presuppositional terms, as suggested (...) in de Jong and Verkuyl (1985) and Lumsden (1988). According to this characterization, strong NPs share one of the defining components of definiteness proposed in Heim (1982), namely the Descriptive Content Condition (DCC). How to derive the prohibition against strong NPs inthere-insertion contexts (definiteness effect) from the fact that strong NPs meet the DCC is not obvious, however. I argue that accounting for this prohibition involves regarding the XP-coda in [there be NP XP] as providing the contextual domain for the interpretation of the postverbal NP. (shrink)

In Shona , bare plurals and bare singulars seem to have different scope possibilities with respect to a class of modifiers which I term “scopeless quantity words” few’, and ose ‘all’). I argue that this is due to two factors. First, the scopeless quantity words are intersective modifiers rather than quantifying determiners, so that DPs containing them denote entities rather than generalised quantifiers. Second, transitive sentences involving plural arguments are usually interpreted using the **-operator, which gives a cumulative reading; the (...) apparent wide and narrow scope readings of bare plurals are both subcases of this reading, but a narrow scope reading for bare singulars cannot be subsumed by the cumulative reading. I also discuss the scope behaviour of a quantifying determiner, oga-oga ‘every’, which shows a subject/object asymmetry: in subject position, it appears to show the expected scopal ambiguity, but in object position, it appears to have the same readings as a scopeless quantity word; I argue that this is because of the location of existential closure. This adds to the evidence suggesting that many words giving quantity are intersective modifiers rather than quantifying determiners or adverbial quantifiers. (shrink)

Brasoveanu (Linguist Philos 34:93–168, 2011) argues that “different” exhibits what he calls association with distributivity: a distributive operator such as “each” creates a two-part context that propagates through the compositional semantics in a way that can be accessed by a subordinate “different”. We show that Brasoveanu’s analysis systematically undergenerates, failing to provide interpretations of sentences such as “Every1 boy claimed every girl read a different1 poem”, in which “different” can associate with a non-local distributive operator. We provide a generalized version (...) of association with distributivity, implemented using de Groote’s (in: Proceedings of semantics and linguistic theory XVI, 2006) continuation-based dynamic semantics. We compare our analysis with the one in Brasoveanu (2011), drawing conclusions about computational tractability, scope of indefinites, and whether it is possible or even desirable to arrive at a unified analysis of internal and external readings of “different”. (shrink)

In a recent book, Jeffrey King argues that complex demonstratives, i.e., noun phrases of the form 'this/that _F<D>', are not singular terms. As such, they are not devices of direct reference contributing the referent to the proposition expressed. In this essay I challenge King's position and show how a direct reference view can handle the data he proposes in favor of the quantificational account. I argue that when a complex demonstrative cannot be interpreted as a singular term, it is best (...) understood as a case of deferred reference--in which case it should be viewed as an anaphora inheriting its value from a quantified term--or as an emphatic description. (edited). (shrink)

In this paper, we argue that there are more kinds of relative clause constructions between the linguistic heaven and earth than are dreamed of in the classical lore, which distinguishes just restrictive relative clauses and appositives. We start with degree relatives. Degree, or amount, relatives show restrictions in the relativizers they allow, in the determiners that can combine with them, and in their stacking possibilities. To account for these facts, we propose an analysis with two central, and novel, features: First, (...) we argue that the standard notion of degree (a number on a measuring scale) needs to be replaced by a notion of structured degree, which keeps track of the object measured. Second, we argue that at the CP-level of degree relatives an operation of (degree) maximalization takes place. We show that the observed facts concerning degree relatives follow from these assumptions. We then broaden the discussion to other relative clause constructions. We propose that the operation of maximalization takes place in relative clauses when the head noun is semantically interpreted CP-internally, while syntactically the CP is part of a DP that also contains CP-external material. Based on this, we argue that degree relatives form part of a linguistically coherent class of relative clause constructions -- we call them maximalizing relatives -- which all show restrictions similar to those observed for degree relatives, and which differ semantically (and often also syntactically) both from restrictive relative clauses and from appositives. We discuss free relatives, internally-headed relatives, and correlatives. (shrink)

This squib presents two puzzles related to an ambiguity found in for-infinitival relative clauses (FIRs). FIRs invariably receive a modal interpretation even in the absence of any overt modal verb. The modal interpretation seems to come in two distinct types, which can be paraphrased by finite relative clauses employing the modal auxiliaries should and could. The two puzzles presented here arise because the availability of the two readings is constrained by factors that are not otherwise known to affect the interpretation (...) of a relative clause. Specifically, we show, first, that “strong” determiners require the FIR to be interpreted as a SHOULD-relative while “weak” determiners allow both interpretations (the Determiner-Modal Generalization). Secondly, we observe that the COULD-interpretation requires a raising (internally headed) structure for the FIR, while the SHOULD-interpretation is compatible with either a raising or a more standard matching (externally headed) structure (the Raising/Matching Generalization). (shrink)

It is commonly argued that natural language has the expressive power of quantifying over intensional entities, such as times, worlds, or situations. A standard way of modelling this assumes that there are unpronounced but syntactically represented variables of the corresponding type. Not all that much as has been said, however, about the exact syntactic location of these variables. Meanwhile, recent work has highlighted a number of problems that arise because the interpretive options for situation pronouns seem to be subject to (...) various restrictions. This paper is primarily concerned with situation pronouns inside of determiner phrases, arguing that they are introduced as arguments of (certain) determiners. Verbal predicates, on the other hand, are assumed to not combine with a situation pronoun. The various restrictions on their interpretation are shown to fall out from the semantic system that is developed based on that view. Further support for such an account comes from situation semantic analyses of donkey sentences as well as data on the temporal interpretation of nominal predicates. Its ability to account for this full range of data in a unified manner is shown to set it apart from previous proposals. The paper closes with an outlook on further extensions, including an account of quantifier domain restriction based on situation pronouns. (shrink)

This paper investigates relative constructions as in The gifted mathematician that you claim to be should be able to solve this equation, in which the head noun is semantically dependent on an intensional operator in the relative clause, even though it is not c-commanded by it. This is the kind of situation that has led, within models of linguistic description that assume a syntactic level of Logical Form, to analyses in which the head noun is interpreted within the CP-internal gap (...) by reconstruction or interpretation of a lower element of a chain. We offer a solution that views surface representation as the input to semantics. The apparent inverted scope effects are traced back to the interpretation of the head nominal gifted mathematician as applying to individual concepts, and of the relative clause that you claim to be as including an equational statement. According to this view, the complex DP in question refers to the individual concept that exists just in the worlds that are compatible with what is generally supposed to be the case, is a gifted mathematician in those worlds, and is identical to you in those worlds. Our solution is related to the non-reconstructionist analysis of binding of pronouns that do not stand in a c-command relationship to their binder, as in The woman that every man hugged was his mother in Jacobson Proceedings of Semantics and Linguistic Theory IV:161-178, 1994) and Sharvit Proceedings of Semantics and Linguistic Theory VI:227-244, 1996), and allows us to capture both similarities with and differences from the latter type of construction. We point out and offer explanations for a number of properties of such relative clauses—in particular their need for an internal intensional operator, their incompatibility with any determiner other than the definite article, and the fact that some of their properties are shared by demonstrably distinct kinds of relative clauses. (shrink)

This volume recasts the influential work of Barbara H. Partee in light of new studies surrounding the semantics of quantification and reference in natural language. The papers examine cutting-edge issues in formal semantics and pragmatics. With topics ranging from the fundamental issues of compositionality and information structure to the analysis of tense and aspect, Reference and Quantification is both an excellent discussion of Partee's work and a thorough overview of developments in current semantics research.

This extended collection of papers is the result of putting recent ideas on quantification to work on a wide variety of languages.

Humans possess two nonverbal systems capable of representing numbers, both limited in their representational power: the first one represents numbers in an approximate fashion, and the second one conveys information about small numbers only. Conception of exact large numbers has therefore been thought to arise from the manipulation of exact numerical symbols. Here, we focus on two fundamental properties of the exact numbers as prerequisites to the concept of EXACT NUMBERS : the fact that all numbers can be generated by (...) a successor function and the fact that equality between numbers can be defined in an exact fashion. We discuss some recent findings assessing how speakers of Munduruc (an Amazonian language), and young Western children (3-4 years old) understand these fundamental properties of numbers. (shrink)

I will assume (without explicitly argue for it here) that the verb’s external argument is not an argument of the verb root itself, but is introduced by a separate head in a neo-Davidsonian way. The content argument can be saturated by DPs denoting the kinds of things that can be believed or reported.

This paper sets forth a new theory of quantifiers and term connectives, called shadow theory , which should help simplify various semantic theories of natural language by greatly reducing the need of Montagovian proper names, type-shifting, and λ-conversion. According to shadow theory, conjunctive, disjunctive, and negative noun phrases such as John and Mary , John or Mary , and not both John and Mary , as well as determiner phrases such as every man , some woman , and the boys (...) , are all of semantic type e and denote individual-like objects, called shadows — conjunctive , disjunctive , or negative shadows, such as John-and-Mary, John-or-Mary, and not-(John-and-Mary). There is no essential difference between quantification and denotation: quantification is nothing but denotation of shadows. Individuals and shadows constitute a Boolean structure. Formal language LSD (Language for Shadows with Distributivity), which takes compound terms to denote shadows, is investigated. Expansions and enrichments of LSD are also considered toward the end of the paper. (shrink)

In this paper, we discuss some rather puzzling facts concerning the semantics of Warlpiri expressions of cardinality, i.e. the Warlpiri counterparts of English expressions like one,two, many, how many. The morphosyntactic evidence, discussed in section 1, suggests that the corresponding expressions in Warlpiri are nominal, just like the Warlpiri counterparts of prototypical nouns, eg. child. We also argue that Warlpiri has no articles or any other items of the syntactic category D(eterminer). In section 2, we describe three types of readings— (...) "definite", "indefinite" and "predicative"—which are generally found with Warlpiri nouns, including those which correspond to English common nouns and cardinality expressions. A partial analysis of these readings is sketched i n section 3. Since Warlpiri has no determiner system, we hypothesize that the source of (in)definiteness in this language is semantic. More specifically, we suggest that Warlpiri nominals are basically interpreted as individual terms or predicates of individuals and that their three readings arise as a consequence of the interaction of their basic meanings, which are specific to Warlpiri, with certain semantic operations, such as type shifting (Rooth and Partee 1982, Partee and Rooth 1983, Partee 1986, 1987), which universally can or must apply in the process of compositional semantic interpretation. (shrink)

In this paper I revisit the main arguments for a predicate analysis of descriptions in order to determine whether they do in fact undermine Russell's theory. I argue that while the arguments without doubt provide powerful evidence against Russell's original theory, it is far from clear that they tell against a quantificational account of descriptions.

With the aid of some results from current linguistic theory I examine a recent anti-Fregean line with respect to hybrid talk of numbers and ordinary things, such as ‘the number of moons of Jupiter is four’. I conclude that the anti-Fregean line with respect to these sentences is indefensible.

This paper addresses a dilemma arising from the linguistic behaviour of arithmetical expressions in two basic ways: they occur, either as singular terms in identity statements or as predicates of concepts in adjectival statements. However, those forms of syntactical behaviour give rise to opposite accounts of the ontological status of natural numbers. The substantival use of arithmetical expressions is associated with the interpretation of natural numbers as abstract particulars while the adjectival use of arithmetical expressions ordinarily supports the interpretation of (...) natural numbers either as properties of physical collections or as properties of sortal concepts, i.e. as second-order properties. Both types of interpretation are taken under consideration and the special difficulties of each position are sketched, in view of recently discussed aspects of the ‘arithmetical platonism’ issue. The interpretation of numbers as abstract particulars by the neo-Fregean program presupposes the discrimination of singular terms from other categories of expressions. However, to achieve the alleged syntactical distinction by means of an appropriate set of criteria is considered as a very ambitious task which has not yet been met in an adequate way. On the other hand, interpretations of natural numbers as (1st or 2nd-order) properties face difficulties which, to a large extent, are taken to arise from the fact that those interpretations do not offer a satisfactory account of arithmetical identities. In particular, the paper takes in account Maddy’s approach according to which natural numbers are properties of sets. Then it investigates the reasons why interpretations of numbers as properties often result in an extensional treatment of those properties. Then the paper tries out a reduction strategy to investigate the relationship between the substantival form ‘ ’ and the adjectival form ‘ ’ and determine, if possible, the most fundamental of the two accounts. Hence, it presents three options. The first option is to examine whether the substantival form is reducible to the adjectival form, by an attempt to undermine the semantic role of arithmetical terms as genuine singular terms. The second option is to apply the converse reduction strategy. The third option is to take the substantival form to be equivalent to the adjectival form. In particular, the paper focuses its attention on the third option. To articulate the proposal about the alleged equivalence between the two forms of syntactical behaviour of numbers, it embarks on a discussion of Ramsey’s argument that no essential difference between particulars and universals can be asserted at least on syntactical grounds. Then the paper moves on to present the reasons why the third option appears to be the most prevalent of the three. To highlight this claim, it presents an account of how an equivalence principle can actually be settled among the two forms of arithmetical syntactical behaviour. The paper concludes with suggestions about possible ways by which we can construe the alleged equivalence, considering the substantival and the adjectival account as the two sides of the same coin. (shrink)

In this paper, I criticize John Bigelow's account of number and present my own account that results from the criticism. In doing so, I argue that proper understanding of the nature of number requires a radical departure from the standard conception of language and reality and outline the alternative conception that underlies my account of number. I argue that Bigelow's account of number rests on an incorrect analysis of the plural constructions underlying the talk of number and propound an analysis (...) of numerical sentences, such as “Quine and Goodman are two”, that conforms to the natural understanding of the plural constructions. The analysis leads to the account of number according to which natural numbers are properties, i.e., one-place relations: the number two, for example, is the property indicated by “to be two”, which, I argue, is a one-place predicate that can combine with plural terms like “Quine and Goodman”. (shrink)

In his groundbreaking Grundlagen, Frege (1884) pointed out that number words like ‘four’ occur in ordinary language in two quite different ways and that this gives rise to a philosophical puzzle. On the one hand ‘four’ occurs as an adjective, which is to say that it occurs grammatically in sentences in a position that is commonly occupied by adjectives. Frege’s example was (1) Jupiter has four moons, where the occurrence of ‘four’ seems to be just like that of ‘green’ in (...) (2) Jupiter has green moons. On the other hand, ‘four’ occurs as a singular term, which is to say that it occurs in a position that is commonly occupied by paradigmatic cases of singular terms, like proper names: (3) The number of moons of Jupiter is four. Here ‘four’ seems to be just like ‘Wagner’ in (4) The composer of Tannhäuser is Wagner, and both of these statements seem to be identity statements, ones with which we claim that what two singular terms stand for is identical. But that number words can occur both as singular terms and as adjectives is puzzling. Usually adjectives cannot occur in a position occupied by a singular term, and the other way round, without resulting in ungrammaticality and nonsense. To give just one example, it would be ungrammatical to replace ‘four’ with ‘the number of moons of Jupiter’ in (1): (5) *Jupiter has the number of moons of Jupiter moons. This ungrammaticality results even though ‘four’ and ‘the number of moons of Jupiter’ are both apparently singular terms standing for the same object in (3). So, how can it be that number words can occur both as singular terms and as adjectives, while other adjectives cannot occur as singular terms, and other singular terms cannot occur as adjectives? (shrink)