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All noun phrases (NPs) are quantifiers from a semantic point of view, that is, they have an interpretation that can be formalised with the aid of simple mathematical concepts. The application of such mathematical concepts to semantics is also called logic. The term quantifier may either refer to the NP as a whole, or to its determiner. Determiners are specific elements at the onset of NPs and they determine the quantificational character of NPs. Some NPs lack an overt determiner, such as proper names and some geographical names. Proper names and some nouns closely related to them may have a vocative function. In addition, they may be used as nouns or pronouns of address. The class of determiners may be split into articles (this topic), and demonstrative and possessive determiners. The group of articles consists of the definite article, the indefinite article and the negative article.

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