The generalized quantifier theory does not apply to Japanese quantifiers since: i) the number of NP argument is unspecified; and, ii) quantities are often expressed by predicative adjectives. The word order changes the interpretation, e.g., non-split quantifiers correspond to definite NPs with uniqueness and maximality conditions while split NPs are wide scope indefinites. This paper shows that...

Natural languages display a great variety of constructions which denote non-Freagean quantifiers that is complex quantifiers which are not iterations of simpler quantifiers. Such quantifiers have been extensively studied by Ed (Clark and Keenan (1986), Keenan (1987b), Keenan (1992)). Usually expressions denoting non-Fregean quantifiers are not lexically simple and often they are not syntactic c...

Classical quantifiers (e.g., “all”, “some” and “none”) have been extensively studied in logic and psychology. In contrast, generalized quantifiers (e.g., “most”) allow for fine-grained statements about quantities. The discrepancy in the underlying mental representation and its interpretation among interpreters can affect language use and reasoning. We investigated the effect of quantifier type,...

Recently, research devoted to computational modeling of quantifier comprehension has been extensively published in this journal. McMillan et al. (2005) using neuroimaging methods examined the pattern of neuroanatomical recruitment while subjects were judging the truth-value of statements containing natural language quantifiers. The authors were considering two standard types of quantifiers: fir...

Linguistic meaning has long been recognized to be highly context-dependent. Quantifiers like many and some provide a particularly clear example of context-dependence. For example, the interpretation of quantifiers requires listeners to determine the relevant domain and scale. We focus on another type of context-dependence that quantifiers share with other lexical items: talker variability. Diff...

Quantifiers have the ability of summarizing the properties of a class of objects without enumerating them. This talk introduces a framework for modeling quantifiers in natural languages in which each linguistic quantifier is represented by a family of non-additive measures, and the truth value of a quantified proposition is evaluated by using Sugeno’s integral. Some elegant logical properties o...