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## Main Question or Discussion Point

The cardinality of set of [N][tex]\omega[/tex] . what does omega stands for?

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The cardinality of set of [N][tex]\omega[/tex] . what does omega stands for?

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matt grime

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The lower case omega is (usually) the first infinite ordinal.

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CRGreathouse

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omega's cardinality is aleph naught. But omega is an ordinal, while aleph naught is a cardinal.

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It's an infinite sequence of natural numbers.

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AKG

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[tex][N]^{\omega} = \{ X \subseteq N : |X| = \omega \}[/tex]

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