We define the property of Π2-compactness of a statement Φ of set theory, meaning roughly that the hard core of the impact of Φ on combinatorics of 1 can be isolated in a canonical model for the statement Φ. We show that the following statements are Π2-compact: “dominating NUMBER = 1,” “cofinality of the meager IDEAL = 1”, “cofinality of the null IDEAL = 1”, “bounding NUMBER = 1”, existence of various types of Souslin trees and variations on uniformity of (...) measure and CATEGORY = 1. Several important new metamathematical patterns among classical statements of set theory are pointed out. (shrink)

В монографии исследуется одна из основных проблем современной онтологии: вопрос о характере отношения "человек-мир" в контексте динамической, становящейся реальности. Авторы книги предпринимают попытку осмысления данной проблемы.

This text is a classic of Lenin - his essay explores materialism and its relation to capitalism and how Communism can get over this psychological wish for material and empirical ownership.