# What is the “lowest” set of axioms that can be used in proofs?

What is the most basic set of axioms that one can use in proofs? As in, the axioms are irreducible. The most basic set of irrefutable rules in mathematics. I assume it has something to do with number theory, but what are they?

-
I am not a number theorist, but I would suggest the Peano Axioms. –  AmagicalFishy Feb 27 '14 at 5:23