Formal semantics (logic)

In logic, formal semantics OR logical semantics, is the study of the semantics, or interpretations, of formal and (idealizations of) natural languages usually trying to capture the pre-theoretic notion of entailment. (Although both linguistics and logic lay claim to providing theories of natural language, according to Geach, logic generally ignores the "idiotism of idiom", and sees natural languages as cluttered with idioms of no logical interest.)