Abstract
The article discusses the methodology for studying reflective systems, which are very specific objects of study. However, such objects include almost all phenomena of the socio-humanitarian sciences, including scientific knowledge. It is noted that in the era of the “sixties” original concepts of reflexive analysis arose in Russian philosophy, among which the three most striking ones, associated with the names of V.A. Lefebvre (1936-2020), G.P. Shchedrovitsky (1929-1994), M.A. Rozova (1930-2011). The main attention is paid to the methodology that was built within the framework of the theory of social relay races by M.A. Rosova. It is shown how systems with reflection function and why they are able to rebuild, changing the order of sociality.