>>12407912An axiom is definitionally a statement that is assumed true.
If you mean "take all statements which are true in reality as axioms", then how do you know which statements are true?
You could select arbitrary axioms, but you probably wouldn't get any useful results from studying those axioms.
That said, mathematics isn't the only field that uses axioms. A lot of non-mathematical philosophy also uses axioms. Theology is a good example of such a field where, arguably, people take statements as axioms and theorems, and then try to find other axioms and theorems which don't invalidate their system.
