author’s publications Vopěnka, Petr (7)

New Infinitary Mathematics

Vopěnka, Petr

The dominant current of twentieth-century mathematics, which simultaneously explores and applies infinity (albeit in bizarre ideal worlds...

Nová infinitní matematika: II. Nová teorie množin a polomnožin

Vopěnka, Petr

Infinite mathematics does not end with the non-existence of a set of all natural numbers. As a number of new valuable impulses come from ...

Nová infinitní matematika: IV. Staronový diferenciální počet

Vopěnka, Petr

Newton and Leibniz’s discovery of infinitesimal calculus is still considered one of the greatest achievements of the human mind. And this...

Nová infinitní matematika: I. Velká iluze matematiky 20. století

Vopěnka, Petr

As early as 1899, Georg Cantor, the founder of the classical set theory, was aware of the fact that the class of all transfinite ordinal ...

Nová infinitní matematika: III. Reálná čísla a jejich diskretizace

Vopěnka, Petr

Real numbers have been the sometimes hidden backbone of all infinite mathematics from their beginnings to the present day. These numbers ...

Nová infinitní matematika: Prolegomena

Vopěnka, Petr

It is typical of the mainstream 20th-century mathematics that examining infinity and applying it, although in bizarre ideal worlds, are b...

Podivuhodný květ českého baroka

Vopěnka, Petr

This publication, subtitled First Lectures on Set Theory, presents a picture of a remarkable world of ideas, which was established at the...

První přednášky o teorii množin