Category:Definitions/Limit Ordinals

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


Definition 1

An ordinal $\lambda$ is a limit ordinal if and only if it is a limit element in the well-ordering on the class of all ordinals $\On$ that is the subset relation.


Definition 2

An ordinal $\lambda$ is a limit ordinal if and only if it is neither the zero ordinal nor a successor ordinal.