Axioms

An axiom is a statement that is taken to be true, to serve as a premise or starting point for further reasoning and arguments. It is an unprovable rule or first principle accepted as true because it is self-evident or particularly well-established.

The precise definition of an axiom varies across fields of study. In classic philosophy, an axiom is a statement that is so evident or well-established that it is accepted without controversy or question. In modern logic, an axiom is a premise or starting point for reasoning. In mathematics, an axiom is a statement that is taken for granted for the sake of developing a specific theory. Axioms are not self-evident truths in any field of study, but rather statements that are widely recognized to be true.