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Compactness theorem
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First-order logic
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A set of first-order sentences has a model if and only if every finite subset has a model.
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Syntactic proof of first-order compactness
Compactness theorem
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Compactness obstruction to axiomatizing finitely many maximal elements
Compactness theorem
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Compactness obstruction to an exclusive disjunction of infinitude
Compactness theorem
53
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First-order logic
Mathematical logic
Foundations of mathematics
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Mathematics
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