Axiom, << AK see uhm, >> is a mathematical statement that is assumed to be true. An example of an axiom is the parallel postulate of geometry. The parallel postulate states that “through a point not on a given line, one, and only one, line may be drawn that is parallel to the given line.”
The ancient Greeks distinguished between axioms and postulates. They considered axioms to be universal, self-evident truths that could not be proved. Postulates, on the other hand, were assumed to be true as the basis for a specific field of study, such as geometry. Today, most mathematicians no longer make this distinction.
See also Geometry (Axiomatic system) .
