KnowraElementary equivalenceLinked fromLinked fromThe 6 pages that link to Elementary equivalence, each with the reason it gives.All 6Related 6Model theoryRelated: It identifies structures indistinguishable by the language's sentences.Compactness theoremRelated: Compactness helps transfer finite fragments of theories while preserving elementary equivalence.Alfred TarskiRelated: Tarski’s model-theoretic framework made this comparison of mathematical structures precise.Structure (mathematical logic)Related: It compares structures by their complete first-order behavior.Categorical theoryRelated: Models of one theory are elementarily equivalent, even when they are not isomorphic.Lindström's theoremRelated: The theorem's proof connects logical strength to which structures a logic can distinguish.