Difference between revisions of "Axiom"
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| − | + | An axiom is a statement that defines a given system of logic. | |
| − | + | For example, the statement <math>a \times b = b \times a</math> is an axiom for the [[field]] of [[real numbers]] under the [[operation]] of multiplication, but is not true for [[matrix|matrices]]. | |
| − | + | ||
| + | Axioms and [[postulate]]s are often used interchangeably, but there are several differences. | ||
Revision as of 19:15, 12 November 2006
An axiom is a statement that defines a given system of logic.
For example, the statement 
is an axiom for the field of real numbers under the operation of multiplication, but is not true for matrices.
Axioms and postulates are often used interchangeably, but there are several differences.
