Aleph 0: Difference between revisions
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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 |
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]]. |
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 absence of the axiom of choice.