In my opinion, if the set of beliefs is orthogonal and irrefutable, it is a set of axioms. Orthogonal: It is not possible to derive one belief from another or a

In my opinion, if the set of beliefs is orthogonal and irrefutable, it is a set of axioms. Orthogonal: It is not possible to derive one belief from another or a combination of other beliefs. Irrefutable: Counterexamples have not been found or counterexamples can simply not ever be found. It is obvious, however, that orthogonal and irrefutable do not mean "true". On the contrary, "true" means that a statement can be derived from the axioms, while the axioms by definition themselves cannot. Axiomatic systems are simply a form of rigorous and highly systematic beliefs, but not necessarily internally consistent nor necessarily consistent with reality.