Interpretation (model theory)

In model theory, which is a branch of mathematical logic, an interpretation assigns meaning to the symbols of a formal language. It provides a structure that gives context to the language's terms, making it possible to evaluate the truth of sentences formulated in that language. The essential components of an interpretation typically include: 1. **Domain of Discourse**: A non-empty set that represents the objects being discussed. The elements of this domain are the "individuals" that terms in the language refer to.