## FANDOM

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Omega omega is the order type of the ordinal number that contains all ordinals with a cardinality less than aleph omega, ordered according to the element of relation.

## Limit ordinal Edit

As a limit ordinal, it can be expressed as the union of a sequence of smaller ordinals. One of these, with a cardinality of aleph null (equal to the cofinality of omega omega), is $\omega \cup \omega_1 \cup \omega_2 \cup \omega_3 \cdot\cdot\cdot$.