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Mathematics-Online lexicon:

Statement and Axiom

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A statement is a verbal expression that is either true or false, i.e. that is uniquely assigned one of the two truth values t (true) or f (false) respectively.

We use capital letters as symbols for statements, such as

$\displaystyle A:$   description$\displaystyle \quad . $

Statements can be joined using logical operators. Basic mathematical statements that cannot be derived from other statements are called axioms.
(Authors: Höllig/Kimmerle/Abele)

see also:

[Examples]
  automatically generated 6/11/2007