- a self-evident truth that requires no proof.
- a universally accepted principle or rule.
- Logic, Mathematics. a proposition that is assumed without proof for the sake of studying the consequences that follow from it.
Origin of axiom
Examples from the Web for axiom
Whether or not Hippocrates ever actually said “First, do no harm,” the axiom is central to medical ethics.Why So Many Surgeons Are Psychos
December 17, 2014
Jakes says he believes in the axiom that the act of forgiveness is not really a gift to others as much as it is a gift to oneself.Bishop T.D. Jakes on His New Book and Whitney Houston’s Death
March 10, 2012
It is an axiom in all progress that the more we conquer the more easily we conquer.The Conquest of Fear
That the half may be better than the whole in travel is an axiom verified every day.The Roof of France
In the practice of law this axiom is not yet generally accepted.The Sexual Question
It's an axiom, I think, that to heighten a nation's wisdom you must lower its franchise.The Stark Munro Letters
J. Stark Munro
So convinced am I of the truth of this axiom, that I should not die easy if I had not told it.Arthur O'Leary
Charles James Lever
- a generally accepted proposition or principle, sanctioned by experience; maxim
- a universally established principle or law that is not a necessary truththe axioms of politics
- a self-evident statement
- logic maths a statement or formula that is stipulated to be true for the purpose of a chain of reasoning: the foundation of a formal deductive systemCompare assumption (def. 4)
Word Origin and History for axiom
late 15c., from Middle French axiome, from Latin axioma, from Greek axioma "authority," literally "that which is thought worthy or fit," from axioun "to think worthy," from axios "worthy, worth, of like value, weighing as much," from PIE adjective *ag-ty-o- "weighty," from root *ag- "to drive, draw, move" (see act (n.)).
Axioms in philosophy are not axioms until they are proved upon our pulses. [Keats, letter, May 3, 1818]
- A principle that is accepted as true without proof. The statement For every two points P and Q there is a unique line that contains both P and Q is an axiom because no other information is given about points or lines, and therefore it cannot be proven. Also called postulate
In mathematics, a statement that is unproved but accepted as a basis for other statements, usually because it seems so obvious.