Successor ordinal: Difference between revisions

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An [[ordinal]] is called a successor if it is equal to \(\alpha + 1\) for some other \(\alpha\). An ordinal \(\alpha\) is a successor if and only if \(\max \alpha\) exists. The smallest successor ordinal is [[1]], which is also the only successor ordinal to also be [[Additive principal ordinals|additively principal]]. The least ordinal that is not a successor, other than [[0]], is [[Omega|\(\omega\)]].
 
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