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* It is the smallest ordinal \(\alpha\) such that \(1+\alpha=\alpha\). Every ordinal larger than it has this same property. |
* It is the smallest ordinal \(\alpha\) such that \(1+\alpha=\alpha\). Every ordinal larger than it has this same property. |
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* It is the next ordinal after [[0]] that isn't a [[successor ordinal]]. |
* It is the next ordinal after [[0]] that isn't a [[successor ordinal]]. |
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* It is additively, multiplicatively, and exponentially [[principal]]. |