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{{DISPLAYTITLE:\(\omega\)}} |
{{DISPLAYTITLE:\(\omega\)}} |
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The [[ordinal]] '''omega''', written \(\omega\), is defined as the [[order type]] of the natural numbers \(\mathbb N\). As a [[von Neumann ordinal]], it corresponds to the naturals themselves. Note that \(\omega\) is not to be confused with [[Uncountable|\(\Omega\)]], a common notation for a much larger ordinal. |
The [[ordinal]] '''omega''', written \(\omega\), is defined as the [[order type]] of the natural numbers \(\mathbb N\). As a [[von Neumann ordinal]], it corresponds to the naturals themselves. Note that \(\omega\) is not to be confused with [[Uncountable|\(\Omega\)]], a common notation for a much larger ordinal. The existence of \(\omega\) is guaranteed by the [[axiom of infinity]]. |
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==Properties== |
==Properties== |
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