Definition:Well-Orderable Set
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Definition
Let $S$ be a set.
If it is possible to construct an ordering $\preccurlyeq$ on $S$ such that $\preccurlyeq$ is a well-ordering, then $S$ is defined as being well-orderable.
Class Theory
In the context of class theory, the definition follows the same lines:
Let $A$ be a class.
If it is possible to construct an ordering $\preceq$ on $A$ such that $\preceq$ is a well-ordering, then $A$ is defined as being well-orderable.