Model theory is a branch of mathematical logic that deals with the relationship between formal languages and their interpretations, or models. It explores how structures (models) can satisfy various formal theories expressed in logical languages. Model theorists study: 1. **Structures and Their Interpretations**: A structure is a mathematical object that can be evaluated under a certain language, often involving sets, operations, and relations. Model theorists analyze how different structures can satisfy the axioms of a given theory.
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