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{{Short description|Operation on ordinal numbers}}
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.
==Properties==