An axiom is a basic mathematical truth used in proofs, outlined initially by Euclid. Axioms are self-evident and do not need to be proven, they can be combined and used logically to prove more complex mathematical concepts, especially in geometry.
Example: "The shortest distance between two points is a straight line."
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An axiom is an assumption that is assumed to be true in some mathematical system. The axioms of geometry are historically called postulates. Intuitively an axiom is a statement whose truth is self-evident. Mathematical axioms need not be self-evident or true in any real-world sense. An axiom of one mathematical system may be false in a different system.
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If you mean the ship where the humans also are, it is called: The Axiom.
The Personal Maxim (axiom, adage, saying for which he was always known) of Caesar Caligula; "Let them hate me, as long as they fear me"
Waste Allocation Load Lifter - Earth class. On the Axiom there are giant WALL-A s, but they stand for Waste Allocation Load Lifter - Axiom class.
It means that someone is trying to get something that is not possible...usually trying to get debt money from someone who doesn't have any money at all. The analogy is that there is no such thing as blood in a turnip, it just isn't there and no one can get any blood from it no matter how hard they try...just like if a person has no money and someone wants them to pay them money, no matter how hard they try they won't be able to make them pay, because there is no money.