FROM GEORG CANTOR TO ERNST MACH

Abstract

In the review, in the context of the ideas of E. Mach, one of the key problems of modern natural science is touched upon: the correlation of “reductionism” and “holism”. If the idea of reductionism was unprecedentedly developed in the framework of the theory of sets and the Bourbaki program, then the Mach principle, as well as other ideas of the philosopher, are only on the rise. Nevertheless, there is a clear realization that the future lies behind these ideas and the book under review in this context seems extremely important.