Definition:Axiom

An axiom is a statement which is accepted as being true.

An alternative term for it is postulate.

A statement that is considered an axiom can be described as being axiomatic.

Different fields of mathematics usually have a different set of statements which are considered as being axiomatic.

A logical or mathematical system which possesses an explicitly stated set of axioms from which theorems can be derived is called an axiomatic system.