The article discusses three ways of knowledge underlying the natural sciences, social and intuitive knowledge. There were the characteristics of the methodological basis of each of them - the formal, dialectical and holistic logic. Author has disclosed and formalized paradoxes of G.Gurdjieff and A.Govinda inherent the intuitive way of cognition. In paper is given the definition of a super complex system and discussed the reasons of its unknowability by traditional methods. It is shown that the basic feature of social knowledge is its classification as a public good. Author has justified the thesis that the transition from social knowledge to the intuitive knowledge should be made via an intermediate methodology – subtractive negative knowledge. There are outlined the contours of a new approach to the knowledge of the social reality.