Axiom

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An Axiom is a Formal Statement that is assumed to be necessarily True.



References

  • WordNet
    • maxim: a saying that is widely accepted on its own merits
    • (logic) a proposition that is not susceptible of proof or disproof; its truth is assumed to be self-evident
  • (Wikipedia, 2009) ⇒ http://en.wikipedia.org/wiki/Axiom
    • In traditional logic, an axiom or postulate is a proposition that is not proved or demonstrated but considered to be either self-evident, or ...
  • http://en.wiktionary.org/wiki/axiom
    • 1. (philosophy) A self-evident and necessary truth; a proposition which it is necessary to take for granted; a proposition whose truth is so evident that no reasoning or demonstration can make it plainer.
    • 2. (mathematics) An unproved theorem that serves as a basis for deduction of other theorems. E.g., "A point has no mass; a line has no width. A plane is a flat surface with no mass and contains an infinity of points and lines".
    • 3. An established principle in some art or science that is universally received: The axioms of political economy cannot be considered absolute truths.
  • http://www.logic-classroom.info/glossary.htm
    • axiom is a first principle or premise.