Definition:Finite Cardinal

Definition

Let $\mathbf a$ be a cardinal.

Then $\mathbf a$ is described as finite if and only if:

$\mathbf a < \mathbf a + \mathbf 1$

where $\mathbf 1$ is (cardinal) one.

That is, such that $\mathbf a \ne \mathbf a + \mathbf 1$.

Sources

• 1975: T.S. Blyth: Set Theory and Abstract Algebra ... (previous) ... (next): $\S 8$