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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    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:
    (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
    a short pithy saying expressing a general truth
    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
DISCLAIMER: These example sentences appear in various news sources and books to reflect the usage of the word ‘axiom'. Views expressed in the examples do not represent the opinion of or its editors. Send us feedback
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