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Elementary theory
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Elementary theory
In mathematical logic, an elementary theory is a theory that involves axioms using only finitary first-order logic, without reference to set theory or using any axioms that have consistency strength equal to set theory.
Saying that a theory is elementary is a weaker condition than saying it is algebraic.
Examples of elementary theories include:
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Elementary theory
In mathematical logic, an elementary theory is a theory that involves axioms using only finitary first-order logic, without reference to set theory or using any axioms that have consistency strength equal to set theory.
Saying that a theory is elementary is a weaker condition than saying it is algebraic.
Examples of elementary theories include: