If you accept something as an axiom and other people don't then it's not a very good axiom. I.e., you will have to justify yourself and your actions to others,

If you accept something as an axiom and other people don't then it's not a very good axiom. I.e., you will have to justify yourself and your actions to others, who think your actions are wrong. Besides, an axiom is something assumed because the way that the ideas are built off of them are interesting, not because the axiom and the result are unquestionable.