Mathematically speaking, what is an ‘Axiom’?
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In order to prove something in mathematics you need to have a chain with no weak links. Let’s say you prove that C is true, but in that proof you assume that B is true. Your proof that C is true doesn’t hold unless you also prove that B is true. Your proof that B is true assumes that A is true, but that A is true is so fundamental that it’s universally agreed upon, so you don’t have to prove that in order for your proof that B (and thus, C) is true to hold.
A in this case, is an axiom.
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