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This document contains the first chapter of a syllabus on model theory. It defines basic model-theoretic concepts such as signatures, terms, formulas, structures, satisfaction, theories, elementary equivalence, morphisms, embeddings, and elementary embeddings. It also presents some key results, including: 1) A theory is consistent if it has a model and complete if it is consistent and every formula or its negation is entailed. 2) The compactness theorem, which states that if every finite subset of a theo

Author

Benjamin Icard

Language

EN