Noun
(logic) a word (such as `some' or `all' or `no') that binds the variables in a logical proposition
(grammar) a word that expresses a quantity (as `fifteen' or `many')
Source: WordNetBut often instead of quantifier elimination a weaker property suffices: A theory T is called model-complete if every substructure of a model of T which is itself a model of T is an elementary substructure. Source: Internet
Formalizing natural languages First-order logic is able to formalize many simple quantifier constructions in natural language, such as "every person who lives in Perth lives in Australia". Source: Internet
Finally, we would like, for reasons of technical convenience, that the prefix of φ (that is, the string of quantifiers at the beginning of φ, which is in normal form) begin with a universal quantifier and end with an existential quantifier. Source: Internet
Here the order of the universal quantifiers for x and for ε is not important, but the order of the former and the existential quantifier for N is. Source: Internet
However, some also serves as a quantifier rather than as a plural article, as in "There are some apples there, but not many." Source: Internet
A sentence is a formula in which each occurrence of a variable is in the scope of a corresponding quantifier. Source: Internet