In this article, I discuss several inquiries into the meaning of expressions of quantity. It is to some extent received wisdom that quantifiers are not expressions that stand proxy for amounts, quantities, frequencies, etc. In cognitive psychology, a common observation is that quantifiers express perspectives on quantity. I will argue that while this result bears some relation to notions known from formal semantics, the dominant theoretical framework, generalised quantifier theory, nevertheless falls short of providing a unifying approach to logical, linguistic and psychological aspects of quantity expressions. The upshot is that the many diverse ways in which quantity information may be worded should be reflected in a variety of analyses. In other words, quantifiers need to be approached on a case by case basis.
2023. Modified Numerals and Split Disjunction: The First-Order Case. Journal of Logic, Language and Information 32:4 ► pp. 539 ff.
Katzir, Nicole & Mira Ariel
2023. A few or several? Construal, quantity, and argumentativity. Language and Cognition► pp. 1 ff.
Knowlton, Tyler, Paul Pietroski, Alexander Williams, Justin Halberda & Jeffrey Lidz
2023. Psycholinguistic evidence for restricted quantification. Natural Language Semantics 31:2-3 ► pp. 219 ff.
Carstensen, Kai-Uwe
2021. Quantification: The View From Natural Language Generation. Frontiers in Artificial Intelligence 4
Liu, Mingming
2021. A pragmatic explanation of the mei-dou co-occurrence in Mandarin. Journal of East Asian Linguistics 30:3 ► pp. 277 ff.
Heinat, Fredrik & Eva Klingvall
2019. Anaphoric Reference to Quantified Expressions in Swedish. Journal of Psycholinguistic Research 48:3 ► pp. 551 ff.
SORODOC, I., S. PEZZELLE, A. HERBELOT, M. DIMICCOLI & R. BERNARDI
2018. Learning quantification from images: A structured neural architecture. Natural Language Engineering 24:3 ► pp. 363 ff.
AUGURZKY, PETRA, OLIVER BOTT, WOLFGANG STERNEFELD & ROLF ULRICH
2017. Are all the triangles blue? – ERP evidence for the incremental processing of German quantifier restriction. Language and Cognition 9:4 ► pp. 603 ff.
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