Quantification has several distinct senses. In mathematics and empirical science, it is the act of counting and measuring that maps human sense observations and experiences into members of some set of numbers. Quantification in this sense is fundamental to the scientific method.
In logic, quantification is the binding of a variable ranging over a domain of discourse. The variable thereby becomes bound by an operator called a quantifier. Academic discussion of quantification refers more often to this meaning of the term than the preceding one.
In grammar, a quantifier is a type of determiner, such as all or many, that indicates quantity. These items have been argued to correspond to logical quantifiers at the semantic level.
Read more about Quantification: Natural Language, Logic, Natural Science, Social Sciences, Hard Versus Soft Science