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The article defines an ordinal as a set whose every element is a subset; but {0,1,{1}} is such a set, and is not an ordinal. To be an ordinal, the set should have the additional property of being totally ordered by containment. (Then the axiom of foundation yields that the set is well-ordered.)
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If you wish to start a new discussion or revive an old one, please do so on the
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A much more common notation for Ī© as the first uncountable ordinal number is Ļ
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99:Thanks for catching this! --AxelBoldt
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18:Talk:Ordinal number
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