Nová infinitní matematika: Prolegomena

It is typical of the mainstream 20th-century mathematics that examining infinity and applying it, although in bizarre ideal worlds, are based on Cantor’s theory of infinite sets. This in turn is based on a problematic hypothesis that there exists a set of all natural numbers, whose only, and moreover theological, justification is often withheld and pushed into the collective unconscious.
Although the scholar presents some strong warnings from leading mathematicians about the dangers hidden in contemporary infinite mathematics, his newly defined infinite mathematics is not merely a negation of contemporary views and hypotheses. On the contrary, infinite mathematics as introduced in this book is the result of a careful effort to surpass the horizon delimiting the classical world of geometry.