in the ncert reader ..in pg 83..it is given that.. "A system of axioms is called consistent (see Appendix 1), if it is impossible to deduce from these axioms a statement that contradicts any axiom or previously proved statement. So, when any system of axioms is given, it needs to be ensured that the system is consistent. " i did not understand this topic...pls can any of u explain it...

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.

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 An axiom is defined as a mathematicalstatement that is accepted as being true without a mathematical proof.

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