# Completeness

An object is complete if nothing needs to be added to it.

### Axiomatic Completeness

An axiomatic theory is complete if every syntactically correct statement in the theory can be proven either right or wrong.

### Graph′s Completeness

A graph is complete if any two of its vertices are connected by exactly one edge. A complete graph with N vertices is often denoted as KN.

### Metric Completeness

A metric space is complete if all Cauchy sequences of its elements converge.

**Subjects: ** Mathematics