# Category:Finite Ordinals

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This category contains results about **Finite Ordinals**.

Let $\alpha$ be an ordinal.

Then $\alpha$ is said to be **finite** if and only if one of the following holds:

- $\alpha = \O$
- $\alpha = \beta^+$ for some
**finite ordinal**$\beta$

where $\O$ denotes the empty set, and $\beta^+$ is the successor ordinal of $\beta$.

## Pages in category "Finite Ordinals"

The following 7 pages are in this category, out of 7 total.