In mathematics, a content is a set function like a measure but a content need not be countably additive, but must only be finitely additive. A content is a real function defined on a field of sets such that 1. * 2. * 3. * An example of a content is a measure, which is a σ-additive content defined on a σ-field. Every (real-valued) measure is a content, but not vice versa. Contents give a good notion of integrating bounded functions on a space but can behave badly when integrating unbounded functions, while measures give a good notion of integrating unbounded functions.