Omega: Difference between revisions
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{{DISPLAYTITLE:\(\omega\)}}
The [[ordinal]] '''omega''', written \(\omega\), is defined as the [[order type]] of the
==Properties==
* It is the first [[infinite]] ordinal.
* It is the first [[limit ordinal]].
* It is considered by some to be the first [[admissible ordinal]].
* Using the [[von Neumann cardinal assignment]], it is equal to [[aleph 0|\(\aleph_0\)]].
* It is the smallest ordinal \(\alpha\) such that \(1+\alpha=\alpha\). Every ordinal larger than it has this same property.
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