More Algebras for Determiners

Abstract. Some new algebras, which are possible denotations for various determiners, are studied. One of them is the algebra of generalised cardinal quantifiers which is a sub-algebra of conservative quantifiers and which contains cardinal, co-cardinal and proportional quantifiers. In addition some non-conservative quantifiers are studied (symmetric, contrapositional and fixed points with respect to the post-complement). It is shown that co-intersective quantifiers are contrapositional. The analysis is extended to quantifiers of higher types.

• Type: Conference
• Year: 2005
• Where: LACL
• Authors: Richard Zuber
• Keywords: Cardinal Quantifiers, LACL 2005, Natural Language Processing, Possible Denotations, Various Determiners