Quantified Noun Phrases Research Articles

Children's Interpretations of Numerically Quantified Expression Ambiguities: Evidence from Quantified Noun Phrases and Bare Cardinals.

Understanding how children comprehend text by forming links between sentences has been the focus of research for decades. Such research has consistently shown that children use anaphors and resolve ambiguities in a different manner than adults. The present study examined a less-studied anaphoric reference that arises when two numerically quantified expressions (e.g., "three cats… two cats…") are used in the text. Focusing on 249 six- to eight-year-old children and 50 adults for comparison, the study employed a picture selection task across six experiments to assess interpretative preferences in ambiguous and unambiguous discourses containing numerically quantified expressions. The findings indicate a pronounced difference in interpretative strategies: unlike adults, who predominantly adopted an anaphoric subset reading, children showed a consistent preference for the non-anaphoric reading, even in contexts explicitly disambiguated towards this interpretation. This preference persisted across various experimental manipulations, highlighting challenges in text integration and comprehension among children. Contributing to the developmental trajectory of language comprehension, this study underscores the complexity of cognitive development and linguistic interpretation, revealing significant developmental differences in processing numerically quantified expressions and anaphoric references within discourse.

Predicting Scalar Implicature Interpretations From Lexical Knowledge.

We measure typically developing monolingual child Spanish speakers' lexical development with a range of standard expressive and receptive tests. We also measure their comprehension of sentences with the existential quantifier algunos "some" to determine their abilities to generate "some, but not all" scalar implicatures or pragmatically enriched quantifier interpretations. We then determine the degree to which lexical development predicts implicature interpretations. We fit regression models with lexical measures as predictor variables and implicature interpretations as the outcome variable. We then divide the child sample into implicature generators (50/61) and implicature nongenerators (11/61) and test the usefulness of the four lexical measures in a linear discriminant function analysis to separate children into these two categories. Results show significant correlations between each lexical measure and the outcome variable and, in a regression, that three of four lexical measures account for unique variance. Furthermore, the linear discriminant function analysis separates children into implicature nongenerators with 100% accuracy (11/11) and implicature generators with 88% accuracy (44/50). The Quantity Scale, or set of quantity-expressing determiners, proposed by Horn and Grice, develops as a function of the links among its quantifiers. We speculate that children's lexicons refract approximate number system representations in language- and morpheme-specific ways. These quantified noun phrases (NPs) are then merged into sentences interpreted pragmatically with conversationally computed implicatures, using higher order reasoning.

An Analysis of Data Collection Tasks Used in Studies on Scope Ambiguity in English Involving Universal Quantifiers and Negation

This study examines types and characteristics of data collection tasks used in studies on scope ambiguity in English involving a universally quantified noun phrase and negation, and investigates any differences in comprehension patterns across studies using different tasks. Since Musolino’s seminal 1998 study using a truth value judgment task, several other studies on English scope ambiguity have used the same task type or variations on it, while others have tested different tasks. Through a keyword search of relevant databases, the present study found a total of 13 studies dealing with the topic of universal quantification and negation in English published since 1998. Based on tasks’ key characteristics and how they were conducted, seven different basic task types were identified. A comparison of the results of the studies found a difference in the overall comprehension patterns of English native speakers for sentences containing a universally quantified noun phrase in subject position between the truth value judgment task with one type of context story and the other tasks. The results are discussed in terms of their methodological implications, and some suggestions for further research from methodological perspectives are provided.

The structure of Polish numerically-quantified expressions

Cross-linguistically, numerically-quantified expressions vary in terms of their internal syntactic structure (e.g. the category of the numeral, its position in the nominal projection) as well as interaction with the external syntax (e.g. occurring in the subject positions, determining agreement and concord). Here, I investigate Polish numerically-quantified expressions of the 5+ type, such as pięć czarownic ‘five witches’, focusing on three morphosyntactic properties: the genitive case on the quantified noun, the accusative case on the numeral, and the occurrence of 3sg neuter verbal agreement. I argue that all of these properties can be captured within existing theories of case and agreement, in terms of a null head that takes the quantified noun phrase as its complement, and a numeral phrase as its specifier. Genitive on the noun is structural, accusative on the numeral is licensed by a null preposition, and default agreement is a result of the case-discriminating nature of verbal agreement. This proposal has implications for the broader theory of agreement and case assignment in Slavic languages and beyond.

How to agree with a QNP

This paper focuses on the great variety of φ-agreement patterns and case alternations quantified noun phrases trigger in Serbo-Croatian. Novel data from Serbo-Croatian are contributed, showing more agreement patterns than so far attested. Crucial for the analysis is an observation that draws a parallel between the agreement patterns of quantified noun phrases and conjoined noun phrases. We will show that the data can best be described by a strictly derivational agreement system based on rule ordering (Müller 2009; Murphy &Puškar 2018) and operating in narrow syntax. Existing case-based approaches (Pesetsky 1982; Franks 1994; Bošković 2003; 2006) and INDEX-CONCORD based feature systems (Wechsler & Zlatić 2000; 2003; Danon 2013) fail to account for agreement alternations in pre- and post-verbal position as well as in NP-topicalisation configurations.

Equivalential Structures for Binary and Ternary Syllogistics

The aim of this paper is to provide a contribution to the natural logic program which explores logics in natural language. The paper offers two logics called \( \mathcal {R}(\forall ,\exists ) \) and \( \mathcal {G}(\forall ,\exists ) \) for dealing with inference involving simple sentences with transitive verbs and ditransitive verbs and quantified noun phrases in subject and object position. With this purpose, the relational logics (without Boolean connectives) are introduced and a model-theoretic proof of decidability for they are presented. In the present paper we develop algebraic semantics (bounded meet semi-lattice) of the logics using congruence theory.

Processing Quantified Noun Phrases with Numbers Versus Verbal Quantifiers

ABSTRACTStatements containing quantity information are commonplace. Although there is literature explaining the way in which quantities themselves are conveyed in numbers or words (e.g., many, probably), there is less on the effects of different types of quantity description on the processing of surrounding text. Given that quantity information is usually conveyed to alter our understanding of a situation (e.g., to convey information about a risk), our understanding of the rest of the quantified statement is clearly important. In this article texts containing quantified statements expressed numerically versus verbally are compared in two text change experiments to assess how the entire quantified noun phrase is encoded in each case. On the basis of the results it is argued that numerical quantifiers place focus on the size of a subset, whereas verbal quantifiers are better integrated with nouns leading to more focus on the subset itself.

Core Knowledge, Language, and Number

ABSTRACTThe natural numbers may be our simplest, most useful, and best-studied abstract concepts, but their origins are debated. I consider this debate in the context of the proposal, by Gallistel and Gelman, that natural number system is a product of cognitive evolution and the proposal, by Carey, that it is a product of human cultural history. I offer a third proposal that builds on aspects of these views but rejects one tenet that they share: the thesis that counting is central to number. I suggest that children discover the natural numbers when they learn a natural language: especially nouns, number words, and the rules that compose quantified noun phrases. This learning, in turn, depends both on cognitive systems that are innate and shared by other animals, and on our species-specific language faculty. Thus, natural number concepts are unique to humans and culturally universal, yet they are learned.

Embodied cognitive semantics for quantification

The present paper proposes an operational semantic model of natural language quantifiers (e.g.,many, some, three) and their use in quantified noun phrases. To this end we use embodied artificial agents that communicate in and interact with the physical world. We argue that existing paradigms such as Generalized Quantifiers (Barwise and Cooper 1981; Montague 1973) and Fuzzy Quantifiers (Zadeh 1983) do not provide a satisfactory models for our situated-interaction scenarios and propose a more adequate semantic model, based on fuzzy-quantification.

Quantification in Ordinary Language and Proof Theory

This paper gives an overview of the common approach to quantification and generalised quantification in formal linguistics and philosophy of language. We point out how this usual general framework represents a departure from empirical linguistic data. We briefly sketch a different idea for proof theory which is closer to the language itself than standard approaches in many aspects. We stress the importance of Hilbert’s operators—the epsilon-operator for existential and tau-operator for universal quantifications. Indeed, these operators are helpful in the construction of a semantic representation which is close to natural language in particular with quantified noun phrases as individual terms. We also define guidelines for the design of proof rules corresponding to generalized quantifiers.

The Structure, Semantics, and Use of Descriptions

russell: the Journal of Bertrand Russell Studies n.s. 34 (summer 2014): 67–78 The Bertrand Russell Research Centre, McMaster U. issn 0036–01631; online 1913–8032 c:\users\kenneth\documents\type3401\rj 3401 193 red.docx 2014-05-14 8:54 PM aiscussion THE STRUCTURE, SEMANTICS, AND USE OF DESCRIPTIONS Jolen Galaugher Philosophy / McMaster U. Hamilton, on, Canada l8s 4l6 jolenb1@gmail.com / galaugjb@mcmaster.ca he division of designators into denoting expressions and referring expressions has become a familiar feature of the Russellian orthodoxy in the philosophy of language. At a glance, expressions of the referring kind seem to be unstructured, lacking independently meaningful proper parts, while those of the denoting kind seem to be structured quantifiers, having molecular complexity. Most examples fit this pattern: proper names, indexicals, and demonstratives are unstructured, while definite descriptions and other quanti fier phrases are typically structured. On Russell’s 1903 theory of denoting, the semantic structure (independently meaningful proper parts) of denoting complexes had proved a source of difficulty for his logic of propositions. The early theory was not only incapable of explaining both how we are supposed to designate complex meanings and how complex meanings are supposed to denote, but was also at odds with the view that proposition and constituent are logically basic, introducing further functional complexes into the propositional complex. Russell’s 1905 theory of descriptions reconstrued these apparently structured referring expressions as quantified noun phrases. On the new theory, knowing the meaning of such expressions does not require acquaintance with a specific object, but rather a grasp of the truth-conditions of the sentences in which they occur.1 One might say that on the new theory, denoting is linked to object-independent truth-conditions, while referring is linked to object-dependent truth-conditions—a connection elaborated and extended by Kripke and Kaplan. This is the situation as Arthur Sullivan paints it in his new book, Reference and Structure in the Philosophy of Language: a Defense of the 1 Russell articulated the dichotomy in “Knowledge by Acquaintance and Knowledge by Description” (1911), ML, p. 226; Papers 6: 158. For Sullivan’s use of this passage, see his anthology, Logicism and the Philosophy of Language, pp. 79–80, and Reference and Structure in the Philosophy of Language, pp. 13–14, 137, 140 n.15. q= 68 Discussion c:\users\kenneth\documents\type3401\rj 3401 193 red.docx 2014-05-14 8:54 PM Russellian Orthodoxy (2013). In this work, Arthur Sullivan defends a stronger set of claims than the denoting /referring distinction might historically have entailed. Building on Neale’s sharp distinction between semantically unstructured rigid referring expressions and semantically structured restricted quantifiers,2 Sullivan takes it to be crucial that these categories are exhaustive and exclusive, so that all and only referring expressions are unstructured designators, and all and only denoting expressions are structured designators (p. 13). Adopting a distinction from Bach,3 Sullivan maintains that the semantic mechanism of referring designators is simply to conventionally relate the utterance of the designator to the designatum, and hence to express object-dependent propositions, while the semantic mechanism of denoting designators is satisfactional, expressing a compositional condition which may or may not be satisfied by any object and which thus expresses object-independent propositions (p. 11). In Part 1, Sullivan articulates the orthodox theory of reference in terms of these two exhaustive and exclusive categories of designator and the distinct, corresponding semantic mechanisms by which they designate. In Part 2, he provides arguments in favour of the orthodoxy. In Part 3, he deals with apparent counter -examples, reinterpreting complex demonstratives and referential uses of definite descriptions to bring them into conformity with the strict referringversus -denoting dichotomy. In Part 4, he offers a synopsis and some general conclusions. Importantly, in Part 2, Sullivan argues that semantic structure is a necessary but not sufficient condition of non-rigidity, that only denoting designnators are non-rigid, that all unstructured designators are rigid designators, and that the lack of semantic structure is necessary and sufficient for status as a referring expression. Contrary to the view which is now popular, Russell regarded ordinary proper names as...

The quantificational asymmetry: A comparative look

The traditional account of the Delay of Principle B Effect (DPBE) predicts that all languages that show a DPBE will also reveal a Quantificational Asymmetry (QA). Children's performance on object-pronouns must therefore improve when a QP-subject replaces the NP-subject. These QA results have been obtained in English (modulo methodological differences), but none of the few Dutch studies reliably revealed this effect. We used similar materials to Marinis and Chondrogianni (2011) who used a test that induced both a DBPE and a QA in English; hence, we compared their results (n=33, 6;0–9;0) to ours (n=29, 6;3–9;1) on the same task. The comprehension experiment consists of bi-clausal sentences with Noun Phrase (NP) and Quantified Noun Phrase (QP) antecedents and object-pronouns and reflexives. Both Dutch and English children show a DPBE, i.e. they have problems with correctly interpreting object-pronouns, because they frequently accept interpretations in which the object-pronoun is co-identified with the NP-subject. However, only English children's performance reveals a QA, which the Dutch children do not show, as they perform similarly on NP and QP-subjects. Interestingly, a similar contrast is found for object-reflexives: where the English children's performance worsens when a QP-subject replaces the NP-subject, the Dutch children's scores are target-like on both subject types. These contrasts suggest that all children allow locally bound pronouns and reflexives (as suggested by Spenader et al., 2009) and that it is their quantifier reading preferences that determine how the object-pronoun or object-reflexive is understood. We hypothesize that these quantifier readings are language-specific: Dutch children prefer a distributive reading for QPs, which induces a bound pronoun interpretation; English children prefer a collective reading, which forbids a bound pronoun interpretation.

Variable binding and coreference in sentence comprehension: Evidence from eye movements

The hypothesis that pronouns can be resolved via either the syntax or the discourse representation has played an important role in linguistic accounts of pronoun interpretation (e.g. Grodzinsky & Reinhart, 1993). We report the results of an eye-movement monitoring study investigating the relative timing of syntactically-mediated variable binding and discourse-based coreference assignment during pronoun resolution. We examined whether ambiguous pronouns are preferentially resolved via either the variable binding or coreference route, and in particular tested the hypothesis that variable binding should always be computed before coreference assignment. Participants’ eye movements were monitored while they read sentences containing a pronoun and two potential antecedents, a c-commanding quantified noun phrase and a non c-commanding proper name. Gender congruence between the pronoun and either of the two potential antecedents was manipulated as an experimental diagnostic for dependency formation. In two experiments, we found that participants’ reading times were reliably longer when the linearly closest antecedent mismatched in gender with the pronoun. These findings fail to support the hypothesis that variable binding is computed before coreference assignment, and instead suggest that antecedent recency plays an important role in affecting the extent to which a variable binding antecedent is considered. We discuss these results in relation to models of memory retrieval during sentence comprehension, and interpret the antecedent recency preference as an example of forgetting over time.

CP-Negation and the Domain of Quantifier Raising

CP-Negation and the Domain of Quantifier Raising

Agreement alternations with quantified nominals in Modern Hebrew

Cross-linguistically, quantified noun phrases (QNPs) trigger one of four agreement patterns: with the quantifier, with the noun, default agreement, or semantic agreement. This paper focuses on agreement alternations in Hebrew, and argues that they follow not from variations in hierarchical structure but from the availability of multiple means of assigning values to the QNP's features. Building upon the index-concord analysis of Wechsler & Zlatić (2003) and adapting it to the Minimalist framework, it is argued that certain agreement patterns are the result of the quantifier bearing a set of abstract features that do not match its morphologically-triggered ones. Variations in QNP agreement patterns are then argued to be subject to constraints at the interfaces of syntax with both semantics and morphology. Overall, it is claimed that even apparent cases of non-local agreement with non-nominative NPs do not really pose a counterexample to established models of agreement, and that this supports the view that the system of ϕ-features cannot be simply an unstructured bundle of morphological features.

The Study of Quantified Noun Phrase in Persian

This paper focuses on the structural properties of quantified noun phrases in Persian language. Based on the Giusti's hypothesis, it will be argued that, first, quantified noun phrases are of category QP in Persian ,namely that the quantifier (Q,) on a par with the determiner (D), is a functional head that always dominates a definite nominal (DP) and indefinite one (NP) or a prepositional phrase (PP),1and second, a certain number of quantifiers act as adjectives.

Korean-speaking Children’s Acquisition of Interpretations of Scopally Ambiguous Sentences

This study investigates Korean-speaking four-and five-year-old children’s and adults’ interpretations of scopally ambiguous sentences containing a postnominal numeral quantifier and short-form negation in Korean by conducting two experiments. Experiment 1 investigated interpretive preferences for sentences containing short-form negation an and numerically quantified noun phrases (NPs) in object position. Both Korean-speaking children and adults were found to display a preference for the specific interpretation while children accepted the non-specific interpretation far less frequently than did adults. Experiment 2 explored the role of certain contextual factors in children’s access to the non-specific interpretation. It was found that when a target sentence is preceded by an affirmative sentence carrying contrastive information, children, like adults, could accept the non-specific interpretation without difficulty. The findings are discussed in the framework of O’Grady’s (2008) processor-based emergentist approach that highlights the role of processing factors.

Number-neutral bare plurals and the multiplicity implicature

Bare plurals (dogs) behave in ways that quantified plurals (some dogs) do not. For instance, while the sentence John owns dogs implies that John owns more than one dog, its negation John does not own dogs does not mean “John does not own more than one dog”, but rather “John does not own a dog”. A second puzzling behavior is known as the dependent plural reading; when in the scope of another plural, the ‘more than one’ meaning of the plural is not distributed over, but the existential force of the plural is. For example, My friends attend good schools requires that each of my friends attend one good school, not more, while at the same time being inappropriate if all my friends attend the same school. This paper shows that both these phenomena, and others, arise from the same cause. Namely, the plural noun itself does not assert ‘more than one’, but rather the plural denotes a predicate that is number neutral (unspecified for cardinality). The ‘more than one’ meaning arises as an scalar implicature, relying on the scalar relationship between the bare plural and its singular alternative, and calculated in a sub-sentential domain; namely, before existential closure of the event variable. Finally, implications of this analysis will be discussed for the analysis of the quantified noun phrases that interact with bare plurals, such as indefinite numeral DPs (three boys), and singular universals (every boy).

Conceptual plural information is used to guide early parsing decisions: Evidence from garden-path sentences with reciprocal verbs

In three eyetracking studies, we investigated the role of conceptual plurality in initial parsing decisions in temporarily ambiguous sentences with reciprocal verbs (e.g., While the lovers kissed the baby played alone). We varied the subject of the first clause using three types of plural noun phrases: conjoined noun phrases ( the bride and the groom), plural definite descriptions ( the lovers), and numerically quantified noun phrases ( the two lovers). We found no evidence for garden-path effects when the subject was conjoined [Ferreira, F., & McClure, K. K. (1997). Parsing of garden-path sentences with reciprocal verbs. Language and Cognitive Processes, 12, 273–306], but traditional garden-path effects were found with the other plural noun phrases. In addition, we tested plural anaphors that had a plural antecedent present in the discourse. We found that when the antecedent was conjoined, garden-path effects were absent compared to cases in which the antecedent was a plural definite description. Our results indicate that the parser is sensitive to the conceptual representation of a plural constituent. In particular, it appears that a Complex Reference Object [Moxey, L. M., Sanford, A. J., Sturt, P., & Morrow, L. I. (2004). Constrains on the formation of plural reference objects: The influence of role, conjunction, and type of description. Journal of Memory and Language, 51, 346–364] automatically activates a reciprocal reading of a reciprocal verb.

Syllogistic Logics with Verbs

This article provides sound and complete logical systems for several fragments of English which go beyond syllogistic logic in that they use verbs as well as other limited syntactic material: universally and existentially quantified noun phrases, building on the work of Nishihara, Morita and Iwata (1990, Systems and Computers in Japan, 21, 96–111); complemented noun phrases, following our Moss (2007, Syllogistic Logic with Complements); and noun phrases which might contain relative clauses, recursively, based on McAllester and Givan (1992, Artifical Intelligence, 56, 1–20). The logics are all syllogistic in the sense that they do not make use of individual variables. Variables in our systems range over nouns, and in the last system, over verbs as well.