Aleph 0: Difference between revisions
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RhubarbJayde (talk | contribs) (Created page with "Aleph 0, written \(\aleph_0\), is the cardinal corresponding to the cardinality of the natural numbers. As an initial ordinal, it is considered the same as \(\omega\), while it may not be the same while in the absense of the axiom of choice.") |
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Aleph 0, written \(\aleph_0\), is the [[cardinal]] corresponding to the cardinality of the [[natural numbers]]. As an initial ordinal, it is considered the same as \(\omega\), 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 absense of the [[axiom of choice]]. |
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Revision as of 11:41, 1 September 2023
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 \(\omega\), while it may not be the same while in the absense of the axiom of choice.