Successor ordinal

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What Wikipedia says

In set theory, the successor of an ordinal number α is the smallest ordinal number greater than α. An ordinal number that is a successor is called a successor ordinal. The ordinals 1, 2, and 3 are the first three successor ordinals and the ordinals ω+1, ω+2 and ω+3 are the first three infinite successor ordinals.

Excerpt from the Wikipedia article “Successor ordinal”, under the CC BY-SA 4.0 license. Read the article on Wikipedia