The Existence of Intrinsic Set Properties Implies Cantor's Theorem : The Concept of Cardinal Revisited

Abstract

The author introduces the concept of intrinsic set property, by means of which the well-known Cantor’s Theorem can be deduced. As a natural consequence of this fact, it is proved that Cantor’s Theorem need not imply the existence of a tower of dierent-size innities, because the impossibility of dening