explain when a system of axioms. is consistent
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An axiomatic system is said to beconsistent if it lacks contradiction, i.e. the ability to derive both a statement and its denial from the system's axioms. In an axiomatic system, anaxiom is called independent if it is not a theorem that can be derived from other axioms in the system.
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An axiomatic system is said to beconsistent if it lacks contradiction, i.e. the ability to derive both a statement and its denial from the system's axioms. In an axiomatic system, anaxiom is called independent if it is not a theorem that can be derived from other axioms in the system.
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