# Category:Definitions/Ordinals

This category contains definitions related to Ordinals.
Related results can be found in Category:Ordinals.

Let $A$ be a set.

Then $A$ is an ordinal if and only if $A$ is:

transitive
epsilon-connected, that is:
$\forall x, y \in A: x \ne y \implies x \in y \lor y \in x$
well-founded

## Subcategories

This category has only the following subcategory.

## Pages in category "Definitions/Ordinals"

The following 24 pages are in this category, out of 24 total.