# axiom

An axiom is a statement that everyone believes is true, such as "the only constant is change." Mathematicians use the word axiom to refer to an established proof.

The word axiom comes from a Greek word meaning “worthy.” An axiom is a worthy, established fact. For philosophers, an axiom is a statement like “something can’t be true and not be true at the same time.” An example of a mathematical axiom is “a number is equal to itself.” In everyday usage, an axiom is just a common saying, but it’s one that pretty much everyone agrees on.

Definitions of axiom
1. noun
(logic) a proposition that is not susceptible of proof or disproof; its truth is assumed to be self-evident
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types:
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Euclid's axiom, Euclid's postulate, Euclidean axiom
(mathematics) any of five axioms that are generally recognized as the basis for Euclidean geometry
Euclid's first axiom
a straight line can be drawn between any two points
Euclid's second axiom
any terminated straight line can be projected indefinitely
Euclid's third axiom
a circle with any radius can be drawn around any point
Euclid's fourth axiom
all right angles are equal
Euclid's fifth axiom, parallel axiom
only one line can be drawn through a point parallel to another line
type of:
proposition
(logic) a statement that affirms or denies something and is either true or false
2. noun
a saying that is widely accepted on its own merits
synonyms: maxim
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aphorism, apophthegm, apothegm
a short pithy instructive saying
gnome
a short pithy saying expressing a general truth
moralism
a moral maxim
Murphy's Law, Sod's Law
humorous axiom stating that anything that can go wrong will go wrong
type of:
expression, locution, saying
a word or phrase that particular people use in particular situations
Word Family