explain when a system of axioms is called consistent? pls someone help me out fast! pls pls pls pls !
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A system of axioms is called consistent if all the axioms in it hold true and none of the axioms contradict the other ones. If any of the axioms contradicts any other axioms of the system then the system will be inconsistent.
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A system of axioms is called consistent, if it is impossible to deduce from these axioms a statement that contradicts any axiom. So when any system of axioms is given, it needs to be ensured that the system is consistent.
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