Falsifikatsionny methodology of K. Popper

In work the logiko-methodological concept of K.R. Popper which was critical point in positivism development is considered, and promoted crisis of its neopositivistic doctrine. It is shown that neopositivism philosophy principles, were internally insolvent and resulted in essential difficulties at implementation of the methodological program of absolute formalization of scientific knowledge and the solution of problems of induction, demarcation, justification of knowledge, etc. These problems concern philosophers and methodologists of science also today. K. Popper proposed original solutions of some of them. It is possible if we ponder upon his argument, then we will be able to approach finding of the correct decisions. Therefore the analysis of the main ideas of the philosopher allows to understand more deeply them and to comprehend.