I had a question about axioms. Assuming I understand this correctly, axioms can neither be proven nor disproven; they are self-evident definitions that we have made to simplify math. So someone (with a strong religious motivation I might add) said that axioms are based on faith. You can't prove or disprove them, therefore you just have to accept them on faith. What I'm wondering is, what really separates axioms from other beliefs held on faith? The main differences I can see are that axioms were created in a far more logical way and that they can be changed if necessary (unlike most religious beliefs). But, in terms of supporting evidence, they would almost seem the same as other faith-based beliefs. You can neither prove them nor disprove them.