On Powers of Cardinals
Grzegorz Bancerek · 1992
In the first section the results of [23, axiom (30)], i.e. the correspondence between natural and ordinal (cardinal) numbers are shown. The next section is concerned with the concepts of infinity and cofinality (see [3]), and introduces alephs as infinite cardinal numbers. The arithmetics of alephs, i.e. some facts about addition and multiplication, is present in the third section. The concepts of regular and irregular alephs are introduced in the fourth section, and the fact that א0 and every non-limit cardinal number are regular is proved there. Finally, for every alephs α and β