My suggestion for
3... AlephDescription of setA.K.A.
0The cardinality of the set of all integersCountably Infinite
1The cardinality of the set of all real/complex numbersUncountably Infinite
2The cardinality of the set of all functionsUnsortably Infinite
3The cardinality of the set of all concepts described by the set of all functionsUnimaginably Infinite
4*The cardinality of the set of all setsUltimately Infinite
(*The set of all sets should be cardinality Aleph N+1 where N is otherwise the largest cardinality known to exist.)