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Journal articles on the topic 'Quantifiers'

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Published: 4 June 2021

Last updated: 25 July 2025

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1

CUI, LICONG, YONGMING LI, and XIAOHONG ZHANG. "INTUITIONISTIC FUZZY LINGUISTIC QUANTIFIERS BASED ON INTUITIONISTIC FUZZY-VALUED FUZZY MEASURES AND INTEGRALS." International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 17, no. 03 (2009): 427–48. http://dx.doi.org/10.1142/s0218488509005966.

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In this paper, we generalize Ying's model of linguistic quantifiers [M.S. Ying, Linguistic quantifiers modeled by Sugeno integrals, Artificial Intelligence, 170 (2006) 581-606] to intuitionistic linguistic quantifiers. An intuitionistic linguistic quantifier is represented by a family of intuitionistic fuzzy-valued fuzzy measures and the intuitionistic truth value (the degrees of satisfaction and non-satisfaction) of a quantified proposition is calculated by using intuitionistic fuzzy-valued fuzzy integral. Description of a quantifier by intuitionistic fuzzy-valued fuzzy measures allows us to

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2

Benmamoun, Elabbas. "The Syntax of Quantifiers and Quantifier Float." Linguistic Inquiry 30, no. 4 (1999): 621–42. http://dx.doi.org/10.1162/002438999554237.

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The Arabic quantifier kull displays a Q___NP and NP___Q alternation. Shlonsky (1991) argues that in both patterns Q heads a QP projection with the NP as a complement that may undergo movement to [Spec, QP] or beyond to yield the NP___Q pattern and Q-float structures. On the contrary, I argue on the basis of evidence from reconstruction, Case, and agreement that the two patterns are radically different. In the Q___NP pattern Q is indeed the head of a QP projection that contains the NP. In the NP___Q pattern, however, Q heads a QP adjunct that modifies the NP and in some cases the VP.

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Huumo, Tuomas. "Layers of (un)boundedness: The aspectual–quantificational interplay of quantifiers and partitive case in Finnish object arguments." Linguistics 58, no. 3 (2020): 905–36. http://dx.doi.org/10.1515/ling-2020-0084.

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AbstractI present an account of the interplay between quantifiers and the partitive–accusative case alternation in Finnish object marking, with special reference to the aspectual and quantificational semantics of the clause. The case alternation expresses two oppositions (in affirmative clauses): (a) bounded (accusative) vs. unbounded (partitive) quantity, (b) culminating (accusative) vs. non-culminating (partitive) aspect. The quantifiers analyzed are of two main types: (i) mass quantifiers (e. g., paljon ‘a lot of’, vähän ‘(a) little’), which quantify a mass expressed by a mass noun or a plu

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4

De Cat, Cécile. "Towards a unified analysis of French floating quantifiers." Journal of French Language Studies 10, no. 1 (2000): 1–25. http://dx.doi.org/10.1017/s0959269500000119.

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In French, a quantifier can appear in various positions outside of the NP it quantifies over, whether this NP is the subject or the (direct or indirect) object of the sentence. This phenomenon, often referred to as ‘floating’, has been investigated since the early stages of the generative framework, and several analyses have been proposed to account for both the quantifier subject and the quantifier object in a unified way. However, to my knowledge, none of them has succeeded in providing such a unified account without recourse to non-explanatory restrictions. The main aim of this paper is to

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5

Holford, Dawn Liu, Marie Juanchich, Tom Foulsham, Miroslav Sirota, and Alasdair D. F. Clarke. "Eye-tracking evidence for fixation asymmetries in verbal and numerical quantifier processing." Judgment and Decision Making 16, no. 4 (2021): 969–1009. http://dx.doi.org/10.1017/s1930297500008056.

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AbstractWhen people are given quantified information (e.g., ‘there is a 60% chance of rain’), the format of quantifiers (i.e., numerical: ‘a 60% chance’ vs. verbal: ‘it is likely’) might affect their decisions. Previous studies with indirect cues of judgements and decisions (e.g., response times, decision outcomes) give inconsistent findings that could support either a more intuitive process for verbal than numerical quantifiers or a greater focus on the context (e.g., rain) for verbal than numerical quantifiers. We used two pre-registered eye-tracking experiments (n(1) = 148, n(2) = 133) to i

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Szymanik, Jakub, and Marcin Zajenkowski. "Contribution of working memory in parity and proportional judgments." Cognitive and Empirical Pragmatics 25 (December 5, 2011): 176–94. http://dx.doi.org/10.1075/bjl.25.08szy.

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This paper presents experimental evidence on the differences in a sentence–picture verification task under additional memory load between parity and proportional quantifiers. We asked subjects to memorize strings of four or six digits, then to decide whether a quantified sentence was true for a given picture, and finally to recall the initially given string of numbers. The results show that: (a) proportional quantifiers are more difficult than parity quantifiers with respect to reaction time and accuracy; (b) maintaining either four or six elements in working memory has the same effect on the

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7

신근영. "A New Type of Floating Quantifiers: Tamazight Quantifier Kullu." Journal of Studies in Language 32, no. 1 (2016): 95–114. http://dx.doi.org/10.18627/jslg.32.1.201605.95.

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8

Yokota, Kenji. "Japanese floating numeral quantifiers as generalized quantifiers." Language Sciences 45 (September 2014): 123–34. http://dx.doi.org/10.1016/j.langsci.2014.06.017.

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9

BARBERO, FAUSTO. "SOME OBSERVATIONS ABOUT GENERALIZED QUANTIFIERS IN LOGICS OF IMPERFECT INFORMATION." Review of Symbolic Logic 12, no. 3 (2019): 456–86. http://dx.doi.org/10.1017/s1755020319000145.

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AbstractWe analyse the two definitions of generalized quantifiers for logics of dependence and independence that have been proposed by F. Engström, comparing them with a more general, higher order definition of team quantifier. We show that Engström’s definitions (and other quantifiers from the literature) can be identified, by means of appropriate lifts, with special classes of team quantifiers. We point out that the new team quantifiers express a quantitative and a qualitative component, while Engström’s quantifiers only range over the latter. We further argue that Engström’s definitions are

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10

Moxey, Linda M. "Processing Quantified Noun Phrases with Numbers Versus Verbal Quantifiers." Discourse Processes 55, no. 2 (2017): 136–45. http://dx.doi.org/10.1080/0163853x.2017.1330042.

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11

Gubbi, Abdullah, Mohammad Fazle Azeem, and N. Z. H. Nayakwadi. "Conventional Entropy Quantifier and Modified Entropy Quantifiers for Face Recognition." Procedia Computer Science 46 (2015): 1529–36. http://dx.doi.org/10.1016/j.procs.2015.02.076.

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12

Park, Keunhyung, and Stanley Dubinsky. "The effects of focus on scope relations between quantifiers and negation in Korean." Proceedings of the Linguistic Society of America 5, no. 1 (2020): 100. http://dx.doi.org/10.3765/plsa.v5i1.4670.

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This paper addresses the effects of focus-marking (i.e. nun-marking) on the scope of quantified expressions in Korean negation constructions and shows how these inform the analysis of Korean negation constructions generally. Specifically, highlighting the “Rigid Scope” properties of Korean (in contrast with English), focus-marking in Korean negation constructions eliminates quantifier/negative scope ambiguities. In all cases but one, a focus-marked element has scope over all others. The anomalous case involving contrastive focus of object universal quantifiers brings the semantics of quantifie

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13

Ben-Yami, Hanoch. "Bare Quantifiers?" Pacific Philosophical Quarterly 95, no. 2 (2014): 175–88. http://dx.doi.org/10.1111/papq.12023.

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14

Moltmann, Friederike. "Nominalizing Quantifiers." Journal of Philosophical Logic 32, no. 5 (2003): 445–81. http://dx.doi.org/10.1023/a:1025649423579.

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Szabo, Z. G. "Bare Quantifiers." Philosophical Review 120, no. 2 (2011): 247–83. http://dx.doi.org/10.1215/00318108-2010-029.

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16

Van Benthem, Johan. "Polyadic quantifiers." Linguistics and Philosophy 12, no. 4 (1989): 437–64. http://dx.doi.org/10.1007/bf00632472.

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17

Zimmermann, Malte. "A Compositional Analysis of Anti-Quantifiers as Quantifiers." Semantics and Linguistic Theory 12 (September 3, 2002): 322. http://dx.doi.org/10.3765/salt.v12i0.2876.

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18

Oldenburg, Reinhard. "Gains and Pitfalls of Quantifier Elimination as a Teaching Tool." International Journal for Technology in Mathematics Education 22, no. 4 (2015): 163–67. http://dx.doi.org/10.1564/tme_v22.4.04.

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Quantifier Elimination is a procedure that allows simplification of logical formulas that contain quantifiers. Many mathematical concepts are defined in terms of quantifiers and especially in calculus their use has been identified as an obstacle in the learning process. The automatic deduction provided by quantifier elimination thus allows students to exercise the formulation of concepts using quantifiers. This may be seen as conceptual modelling.

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19

Finn, Suki, and Otávio Bueno. "Quantifier Variance Dissolved." Royal Institute of Philosophy Supplement 82 (July 2018): 289–307. http://dx.doi.org/10.1017/s135824611800005x.

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AbstractQuantifier variance faces a number of difficulties. In this paper we first formulate the view as holding that the meanings of the quantifiers may vary, and that languages using different quantifiers may be charitably translated into each other. We then object to the view on the basis of four claims: (i) quantifiers cannot vary their meaning extensionally by changing the domain of quantification; (ii) quantifiers cannot vary their meaning intensionally without collapsing into logical pluralism; (iii) quantifier variance is not an ontological doctrine; (iv) quantifier variance is not com

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20

Alexeyenko, Sascha. "Quantification in event semantics: generalized quantifiers vs. sub-events." ZAS Papers in Linguistics 60 (January 1, 2018): 39–53. http://dx.doi.org/10.21248/zaspil.60.2018.453.

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The goal of this paper is to evaluate two approaches to quantification in event semantics,namely the analysis of quantificational DPs in terms of generalized quantifiers andthe analysis proposed in Schein (1993) according to which quantifiers over individuals containan existential quantifier over sub-events in their scope. Both analyses capture the fact that theevent quantifier always takes scope under quantifiers over individuals (the Event Type Principlein Landman (2000)), but the sub-events analysis has also been argued to be able to accountfor some further data, namely for adverbs qualifyi

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21

Gelman, Susan A., Sarah-Jane Leslie, Alexandra M. Was, and Christina M. Koch. "Children's interpretations of general quantifiers, specific quantifiers and generics." Language, Cognition and Neuroscience 30, no. 4 (2014): 448–61. http://dx.doi.org/10.1080/23273798.2014.931591.

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22

Shlonsky, Ur. "Quantifiers as functional heads: A study of quantifier float in Hebrew." Lingua 84, no. 2-3 (1991): 159–80. http://dx.doi.org/10.1016/0024-3841(91)90069-h.

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23

Westerståhl, Dag. "Self-commuting quantifiers." Journal of Symbolic Logic 61, no. 1 (1996): 212–24. http://dx.doi.org/10.2307/2275605.

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24

Szeteli, Anna, and Gábor Alberti. "The interaction between relevant-set based operators and a topic–predicate dimension." Linguistics Beyond and Within (LingBaW) 4 (December 30, 2018): 161–72. http://dx.doi.org/10.31743/lingbaw.5672.

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Hungarian relevant-set based operators, such as universally quantified noun-phrases and the also-quantifier, signal a logico-pragmatic relation between their explicit meaning and a broader implicit set of relevant participants which property can be mentioned as “double referentiality” of the operator. Furthermore, they indicate the new or correcting information in a topic–predicate dimension which belongs to the broader world of the discourse. Our research aims to identify the differences by investigating the suprasegmental features of each-quantifiers and also-quantifiers on the Hungarian lef

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25

DELGADO, MIGUEL, M. DOLORES RUIZ, and DANIEL SÁNCHEZ. "STUDYING INTEREST MEASURES FOR ASSOCIATION RULES THROUGH A LOGICAL MODEL." International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 18, no. 01 (2010): 87–106. http://dx.doi.org/10.1142/s0218488510006404.

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Many papers have addressed the task of proposing a set of convenient axioms that a good rule interestingness measure should fulfil. We provide a new study of the principles proposed until now by means of the logic model proposed by Hájek et al.14 In this model association rules can be viewed as general relations of two itemsets quantified by means of a convenient quantifier.28 Moreover, we propose and justify the addition of two new principles to the three proposed by Piatetsky-Shapiro.27 We also use the logic approach for studying the relation between the different classes of quantifiers and

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26

Latte, Markus. "Branching-time logics and fairness, revisited." Mathematical Structures in Computer Science 31, no. 9 (2021): 1135–44. http://dx.doi.org/10.1017/s0960129521000475.

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AbstractEmerson and Halpern (1986, Journal of the Association for Computing Machinery33, 151–178) prove that the Computation Tree Logic (CTL) cannot express the existence of a path on which a proposition holds infinitely often (fairness for short).The scope is widened from CTL to a general branching-time logic. A path quantifier is followed by a language with temporal descriptions. In this extended setting, the said inexpressiveness is strengthened in two aspects. First, universal path quantifiers are unrestricted. In this way, they are relieved of any temporal quantifiers such as of those in

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27

Katsos, Napoleon, Chris Cummins, Maria-José Ezeizabarrena, et al. "Cross-linguistic patterns in the acquisition of quantifiers." Proceedings of the National Academy of Sciences 113, no. 33 (2016): 9244–49. http://dx.doi.org/10.1073/pnas.1601341113.

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Learners of most languages are faced with the task of acquiring words to talk about number and quantity. Much is known about the order of acquisition of number words as well as the cognitive and perceptual systems and cultural practices that shape it. Substantially less is known about the acquisition of quantifiers. Here, we consider the extent to which systems and practices that support number word acquisition can be applied to quantifier acquisition and conclude that the two domains are largely distinct in this respect. Consequently, we hypothesize that the acquisition of quantifiers is cons

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28

de Haan, Ronald, and Jakub Szymanik. "Characterizing polynomial Ramsey quantifiers." Mathematical Structures in Computer Science 29, no. 06 (2019): 896–908. http://dx.doi.org/10.1017/s0960129518000397.

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AbstractRamsey quantifiers are a natural object of study not only for logic and computer science but also for the formal semantics of natural language. Restricting attention to finite models leads to the natural question whether all Ramsey quantifiers are either polynomial-time computable or NP-hard, and whether we can give a natural characterization of the polynomial-time computable quantifiers. In this paper, we first show that there exist intermediate Ramsey quantifiers and then we prove a dichotomy result for a large and natural class of Ramsey quantifiers, based on a reasonable and widely

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29

Pikhurko, Oleg, and Oleg Verbitsky. "Descriptive complexity of finite structures: Saving the quantifier rank." Journal of Symbolic Logic 70, no. 2 (2005): 419–50. http://dx.doi.org/10.2178/jsl/1120224721.

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AbstractWe say that a first order formula Φ distinguishes a structure M over a vocabulary L from another structure M′ over the same vocabulary if Φ is true on M but false on M′. A formula Φ defines an L-structure M if Φ distinguishes M from any other non-isomorphic L-structure M′. A formula Φ identifies an n-element L-structure M if Φ distinguishes M from any other non-isomorphic n-element L-structure M′.We prove that every n-element structure M is identifiable by a formula with quantifier rank less than and at most one quantifier alternation, where k is the maximum relation arity of M. Moreov

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30

Jiang, Jie-Hong R. "Second-Order Quantified Boolean Logic." Proceedings of the AAAI Conference on Artificial Intelligence 37, no. 4 (2023): 4007–15. http://dx.doi.org/10.1609/aaai.v37i4.25515.

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Second-order quantified Boolean formulas (SOQBFs) generalize quantified Boolean formulas (QBFs) by admitting second-order quantifiers on function variables in addition to first-order quantifiers on atomic variables. Recent endeavors establish that the complexity of SOQBF satisfiability corresponds to the exponential-time hierarchy (EXPH), similar to that of QBF satisfiability corresponding to the polynomial-time hierarchy (PH). This fact reveals the succinct expression power of SOQBFs in encoding decision problems not efficiently doable by QBFs. In this paper, we investigate the second-order q

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31

Luosto, Kerkko. "Hierarchies of monadic generalized quantifiers." Journal of Symbolic Logic 65, no. 3 (2000): 1241–63. http://dx.doi.org/10.2307/2586699.

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AbstractA combinatorial criterium is given when a monadic quantifier is expressible by means of universe-independent monadic quantifiers of width n. It is proved that the corresponding hierarchy does not collapse. As an application, it is shown that the second resumption (or vectorization) of the Härtig quantifier is not definable by monadic quantifiers. The techniques rely on Ramsey theory.

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32

Bajnok, Béla, and Peter E. Francis. "Secrets and Quantifiers." Math Horizons 28, no. 3 (2021): 12–13. http://dx.doi.org/10.1080/10724117.2020.1850124.

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33

Mykhaylenko, V. V. "“READING” VAGUE QUANTIFIERS." Collection of scientific works "Visnyk of Zaporizhzhya National University. Philological Sciences" 1, no. 1 (2020): 186–92. http://dx.doi.org/10.26661/2414-9594-2020-1-1-27.

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34

NISHIOKA, NOBUAKI. "QUANTIFIERS AND NEGATION." ENGLISH LINGUISTICS 21, no. 2 (2004): 323–47. http://dx.doi.org/10.9793/elsj1984.21.323.

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35

MOXEY, LINDA M., and ANTHONY J. SANFORD. "QUANTIFIERS AND FOCUS." Journal of Semantics 5, no. 3 (1986): 189–206. http://dx.doi.org/10.1093/jos/5.3.189.

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36

BROWN, MARK A. "Questions and Quantifiers*." Theoria 56, no. 1-2 (2008): 62–84. http://dx.doi.org/10.1111/j.1755-2567.1990.tb00218.x.

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37

Cantero-Flores, Víctor. "Quantifiers and existence." Principia: an international journal of epistemology 28, no. 1 (2024): 135–45. http://dx.doi.org/10.5007/1808-1711.2024.e96727.

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There are some sentences that include expressions that refer to entities that do not exist. One example is this: Mary is in terror of werewolves. Some argue that this sentence cannot be translated into predicate logic. This may be seen as flaw in predicate logic. Against this, I argue in this paper that the problem is not predicate logic, but rather our commitments with the existence and nature of certain things. By revising some of these commitments, we can see that predicate logic is perfectly capable to deal with the problematic sentences.

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38

Crain, Stephen. "Acquisition of Quantifiers." Annual Review of Linguistics 3, no. 1 (2017): 219–43. http://dx.doi.org/10.1146/annurev-linguistics-011516-033930.

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39

Hella, Lauri. "Quantifying over Quantifiers." Electronic Notes in Theoretical Computer Science 84 (September 2003): 16. http://dx.doi.org/10.1016/s1571-0661(04)80839-9.

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40

Geurts, Bart. "Reasoning with quantifiers." Cognition 86, no. 3 (2003): 223–51. http://dx.doi.org/10.1016/s0010-0277(02)00180-4.

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41

Russell, Jeffrey Sanford. "Quality and Quantifiers." Australasian Journal of Philosophy 96, no. 3 (2017): 562–77. http://dx.doi.org/10.1080/00048402.2017.1363259.

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42

WESTERSTÅHL, DAG. "DECOMPOSING GENERALIZED QUANTIFIERS." Review of Symbolic Logic 1, no. 3 (2008): 355–71. http://dx.doi.org/10.1017/s1755020308080234.

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This note explains the circumstances under which a type 〈1〉 quantifier can be decomposed into a type 〈1, 1〉 quantifier and a set, by fixing the first argument of the former to the latter. The motivation comes from the semantics of Noun Phrases (also called Determiner Phrases) in natural languages, but in this article, I focus on the logical facts. However, my examples are taken among quantifiers appearing in natural languages, and at the end, I sketch two more principled linguistic applications.

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43

Van Der Does, Jaap. "Sums and quantifiers." Linguistics and Philosophy 16, no. 5 (1993): 509–50. http://dx.doi.org/10.1007/bf00986210.

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44

Sundholm, G�ran. "Constructive generalized quantifiers." Synthese 79, no. 1 (1989): 1–12. http://dx.doi.org/10.1007/bf00873254.

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45

Panconesi, Alessandro, and Desh Ranjan. "Quantifiers and approximation." Theoretical Computer Science 107, no. 1 (1993): 145–63. http://dx.doi.org/10.1016/0304-3975(93)90259-v.

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46

Chierchia, Gennaro. "Questions with quantifiers." Natural Language Semantics 1, no. 2 (1992): 181–234. http://dx.doi.org/10.1007/bf00372562.

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47

Grygiel, Marcin. "Kwantyfikacyjne i egzystencjalne wykładniki afirmacji na przykładzie języka serbskiego." Slavia Meridionalis 10 (August 31, 2015): 103–19. http://dx.doi.org/10.11649/sm.2010.008.

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Quantifiers and existentials as markers of affirmation in SerbianIn the paper I argue that quantifiers understood as numerical language expressions and the verb ‘to be’ are used to express and intensify affirmation in Serbian and other Slavic languages. I focus on two types of quantifiers: the universal quantifier, represented in Serbian by the lexeme svi and its derivatives, and the existential quantifier associated with the numeral jedan and the verb ‘to be’. Both types of quantifiers in analyzed contexts acquire secondary functions of affirmation markers. However, the scope of this type of

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48

Hao, Liheng. "Generalized Syllogism Reasoning with the Quantifiers in Modern Square{no} and Square{most}." Applied Science and Innovative Research 8, no. 1 (2024): p31. http://dx.doi.org/10.22158/asir.v8n1p31.

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A modern Square{Q}={Q, Q_, Q_, _Q_} is composed of a generalized quantifier Q and its three types of negative quantifiers: inner, outer and dual negative one. This paper mainly discusses the non-trivial generalized syllogisms reasoning with the quantifiers in Square{no} and Square{most}. To this end, this paper firstly gives formalizes generalized syllogisms, then proves the validity of the syllogism AMM-1 with the generalized quantifier most, and further deduces the other 24 valid syllogisms. The reason why these valid generalized syllogisms studied in this paper can be mutually reduced is be

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49

Agustito, Denik, Dafid Slamet Setiana, Heru Sukoco, and Krida Singgih Kuncoro. "Understanding quantified statements in mathematics learning at the university." Union: Jurnal Ilmiah Pendidikan Matematika 11, no. 3 (2023): 551–58. http://dx.doi.org/10.30738/union.v11i3.16105.

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The objective is to provide knowledge for pure mathematics and mathematics education students to understand quantified statements so that they can easily comprehend the meaning of mathematical propositions and facilitate their proof. The method used in this research is a literature review by collecting various sources such as books or scientific writings related to the logic used to understand mathematics, specifically related to quantifiers, both universal and existential quantifiers. When mathematics and mathematics education students understand the quantified statement ∀x[Px], what they do

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50

Oger, Francis. "Elementary equivalence for abelian-by-finite and nilpotent groups." Journal of Symbolic Logic 66, no. 3 (2001): 1471–80. http://dx.doi.org/10.2307/2695119.

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AbstractWe show that two abelian-by-finite groups are elementarily equivalent if and only if they satisfy the same sentences with two alternations of quantifiers. We also prove that abelian-by-finite groups satisfy a quantifier elimination property. On the other hand, for each integer n, we give some examples of nilpotent groups which satisfy the same sentences with n alternations of quantifiers and do not satisfy the same sentences with n + 1 alternations of quantifiers.

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