An axiomatic statement is a statement that is basic and obvious, and that cannot be disputed or questioned. The statement "two plus two equals four" is an example of an axiomatic statement.

  • An axiomatic statement is a statement that is selfevident.

  • It is an axiomatic truth that all statements are either true or false.

Definition of axiomatic


evident without proof or argument


self-evident, taken for granted


containing aphorisms or maxims




of or relating to or derived from axioms


axiomatical, postulational

Nearby Words

axiomatic Pronunciation in a video

Example Sentences for axiomatic

  • 1

    The first formalizations of modal logic were axiomatic.

  • 2

    The axiom of choice is a formal statement in axiomatic set theory.

  • 3

    It's one of the most axiomatic principles in economics.

  • 4

    Infinity is a psychological reaction to the axiomatic of arithmetic.

  • 5

    This is a general advantage of the axiomatic approach in mathematics.

  • 6

    Antithetic and axiomatic sentences abound in his pages.

  • 7

    It was not the case that neither could ever be proved in the axiomatic system.

  • 8

    Hilbert's approach signaled the shift to the modern axiomatic method.

  • 9

    George Peacock was the founder of axiomatic thinking in arithmetic and algebra.

  • 10

    In fact in an axiomatic setting rigorous adds nothing to the idea of proof.