• GEOMETRIC EXPLOSION OF THE REAL NUMBERS AND THE CARDINAL NUMBER (_0^)ℵ

Abstract

Theory of exploded numbers raises the question: Is it possible to compare the cardinal number  to the exploded number  ? For example, both are greater than any arbitrary natural number n. On the other hand, the first is the cardinality of the set of natural number  while the second is a „number” modelled on the exploded number line. To answer the question, we explode the real numbers and their fundamental rules. Finally, we discover the alteregos of natural numbers beyond   .