Model Theory is a branch of Mathematical Logic that studies the relationships between formal languages and their interpretations, or models. It focuses on how different structures can satisfy the same set of sentences, exploring concepts like satisfaction, definability, and isomorphism. In Model Theory, mathematicians analyze various types of models, such as algebraic structures and ordered sets, to understand the properties of logical systems. This field has applications in areas like algebra, geometry, and computer science, providing insights into the foundations of mathematics and the nature of mathematical truth.