Definition:Well-Orderable Set/Class Theory
< Definition:Well-Orderable Set(Redirected from Definition:Well-Orderable Class)
Jump to navigation
Jump to search
Definition
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.
Also see
Sources
- 2010: Raymond M. Smullyan and Melvin Fitting: Set Theory and the Continuum Problem (revised ed.) ... (previous) ... (next): Chapter $4$: Superinduction, Well Ordering and Choice: Part $\text I$ -- Superinduction and Well Ordering: $\S 1$ Introduction to well ordering