Definition:Finite Class

Definition

Let $A$ be a class.

Let there exist a natural number $n$ as defined by the von Neumann construction such that there exists a bijection $\phi$ from $A$ to $n$.

Then $A$ is a finite class.

Also see

• Definition:Cardinality of Finite Class

• Results about finite classes can be found here.

Sources

• 2010: Raymond M. Smullyan and Melvin Fitting: Set Theory and the Continuum Problem (revised ed.) ... (previous) ... (next): Chapter $3$: The Natural Numbers: $\S 6$ Finite Sets