What do you mean by the term 'consistent' in context of a system of axioms?

Asked by Topperlearning User | 4th Jun, 2014, 01:23: PM

Expert Answer:

A system of axioms is called consistent, 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.

Answered by  | 4th Jun, 2014, 03:23: PM