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	Aleph 0, written \(\aleph_0\), is the [[cardinal]] corresponding to the cardinality of the [[natural numbers]]. As an initial (von Neumann) [[ordinal]], it is considered the same as [[Omega\|\(\omega\)]], while it may not be the same while in the ~~absense~~ of the [[axiom of choice]].		Aleph 0, written \(\aleph_0\), is the [[cardinal]] corresponding to the cardinality of the [[natural numbers]]. As an initial (von Neumann) [[ordinal]], it is considered the same as [[Omega\|\(\omega\)]], while it may not be the same while in the absence of the [[axiom of choice]].

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