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Introduction to Boolean Valued Analysis
Boolean valued analysis is the technique of studying properties of an arbitrary mathematical object by means of comparison between its representations in two different set-theoretic models whose construction utilizes principally distinct Boolean algebras. As these models, we usually take the classical Cantorian paradise in the shape of the von Neumann universe and a specially-trimmed Boolean valued universe in which the conventional set-theoretic concepts and propositions acquire bizarre interpretations. Usage of two models for studying a single object is a family feature of the so-called nonstandard methods of analysis. For this reason, Boolean valued analysis means an instance of nonstandard analysis in common parlance. This book is in Russia.