Most of us feel dizzy when thinking about infinity: it is impossible to imagine! Perhaps that is why she is an inexhaustible source of inspiration. In pursuit of infinity, scientists had to weave between dogmas and paradoxes, enter the territory of Greek philosophy, and understand the intricacies of religious fabrications and the secrets of secret societies. But today in mathematics, infinity has ceased to be something unclear and has turned into a full-fledged mathematical object, similar to numbers and geometric figures.