cardinality in a sentence

Examples

1. Carl's Theorem states that the cardinality of the rational numbers.
2. where A is some set with cardinality \ alpha.
3. Hence, the set has the same cardinality as.
4. There are two ways to define the " cardinality of a set ":
5. The 2nd element \ beth _ 1 is the cardinality of the continuum.
6. The set of computable numbers has the same cardinality as the natural numbers.
7. The cardinality of ? is denoted \ aleph _ 1 ( 23 problems.
8. Every set is of lower cardinality than the set of its subsets ".
9. In particular, every uncountable Polish space has the cardinality of the continuum.
10. This still leaves much ambiguity in the actual cardinality.