Determiner universal: Every natural language contains basic expressions (called determiners) whose semantic function is to assign to common count noun denotations (i.e., sets) A a quantifier that lives on A.
Standardized
Determiner universal: Every natural language contains basic expressions (called determiners) whose semantic function is to assign to common count noun denotations (i.e., sets) A a quantifier that lives on A.
All the following lack determiner quantification: Straits (Salish), Asurini (Tupi), Mohawk (Iroquoian), Lakhota (Siouan), Navajo (Athabaskan), Warlpiri (Pama-Nyungan), Gun-djeyhmi (Gunwingguan, Australian). Warlpiri and Gun-djeyhmi, for example, make use of verbal affixes to express various kinds of quantificational meaning. And Asurini quantifiers such as all, many, two do not form a syntactic constituent with the noun, because they do not belong to the category of determiners. They are instead members of other categories such as adverb, verb and noun. See discussion in Bach et al. (1995).
For technical reasons, the following logical relations are abbreviated as follows: A is a subset of E = A $ E ; X is a member of set Q = X % Q; the union of the sets X and A = X § A. In a model M = , a quantifier Q lives on a set A$E if Q is a set of subsets of E with the property that, for any X$E, X%Q iff (X § A)% Q.English examples which illustrate this notion are the following equivalences: Many men run <-> Many men are men who run; Few women sneeze <-> Few women are women who sneeze; John loves Mary <-> John is John and loves Mary.
For technical reasons, the following logical relations are abbreviated as follows: A is a subset of E = A $ E ; X is a member of set Q = X % Q; the union of the sets X and A = X § A. In a model M =, a quantifier Q lives on a set A$E if Q is a set of subsets of E with the property that, for any X$E, X%Q iff (X § A)% Q.English examples which illustrate this notion are the following equivalences: Many men run <-> Many men are men who run; Few women sneeze <-> Few women are women who sneeze; John loves Mary <-> John is John and loves Mary.