It is also true that the number of cardinals is greater than any cardinal, leading to Cantor’s Paradox.
… Since every set is a subset of this latter class, and every cardinality is the cardinality of a set (by definition!) this intuitively means that the “cardinality” of the collection of cardinals is greater than the cardinality of any set: it is more infinite than any true infinity. This is the paradoxical nature of Cantor’s “paradox”.
It is also true that the number of cardinals is greater than any cardinal, leading to Cantor’s Paradox.