Abstract

Let k be the number of all pure sets, und let K be the number of all pure classes. The Platonist, assuming that the class \V of all pure sets cannot be enlarged by any formal means, will come to the conclusion that cardinalities between k und K are conceptually impossible. So the Continuum Hypothesis is true on class level. And if this feature of \V is reflected by all infinite sets \Va, the General Continuum Hypothesis is true on set level