Search the Kids Internet
Encyclopedia > Talk:Ordinal
Article Content
Talk:Ordinal
A much more common notation for Ω as the first uncountable ordinal number is ω1
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.)
- Thanks for catching this! --AxelBoldt
All Wikipedia text is available under the terms of the GNU Free Documentation License
|
Search Encyclopedia
|
Featured Article
|