Question

explain when a system of axioms is called consistence

Answer 1

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. ... A system will be calledindependent if each of its underlying axioms is independent. hope help

Answer 2

Hey there!


=>> According the statement, a system of axioms is said to be consistent if all the axioms hold true and no axiom contradict the other ones. 

If an axiom contradicts any of the other axioms then the system will not be consistent.

Hope it helped!☺️