You don't 'need' to do anything with math. Theorems do not require your belief to be derivable using some sets of axioms and inference rules.
Axioms are not some 'self-evident truths', they are just starting points. And math is just a way to see what can be derived from them, nothing more and nothing less.
Want to see what happens if it's possible to draw exactly 3 lines parallel to a given line through an arbitrary point? Go on, that would be interesting. But that doesn't affect any geometry theorems operating in our familiar boring Euclidean space.