Other Free Encyclopedias » 21st Century Webster's Family Encyclopedia » 21st Century Webster's Family Encyclopedia - Augusta to Barlach, Ernst

Axiom

system proven statements

Axiom, any general statement accepted as true without proof as the basis for building a logical system of other statements that are proven. These proven statements are called theorems. The axioms of a system need not be self-evident, but they must be consistent with one another.

See also: Geometry.

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