(griech.)unmittelbar einleuchtender Grundsatz, der seinerseits nicht weiter begründbar ist und von dem durch log. Schlußfolgerungen Lehrsätze ableitbar sind.
ETYM Latin axioma, Greek axioma that which is thought worthy, that which is assumed, a basis of demonstration, a principle; cf French axiome. Related to Agent.
1. A maxim widely accepted on its intrinsic merit.
2. A statement accepted as true as the basis for argument or inference; postulate.
3. An established rule or principle or a self-evident truth.
In logic: a proposition that is not susceptible of proof or disproof; its truth is assumed to be self-evident.
Necessary and accepted truth; basic and universal principle.
In mathematics, a statement that is assumed to be true and upon which theorems are proved by using logical deduction; for example, two straight lines cannot enclose a space. The Greek mathematician Euclid used a series of axioms that he considered could not be demonstrated in terms of simpler concepts to prove his geometrical theorems.