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Canonical static concept record
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An infinite cardinal that is not the successor cardinal of any smaller cardinal.
This convention includes as the least limit cardinal. Some authors instead use “limit cardinal” only for uncountable alephs whose indices are limit ordinals.
wp-aleph-numberopenlogic-set-theoryEach relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Limit cardinals are infinite cardinals that are not successors.
The target is a member or subtype of the broader source class.
wp-aleph-numberopenlogic-set-theoryEach relation below starts at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
At limit indices, the aleph hierarchy takes the supremum of earlier alephs.
Apply a standard functorial or canonical construction whose output is not merely a reduct of the input and is not generally an equivalent presentation of the same object.
wp-aleph-number