The article is dedicated to potential possibilities of widening and deepening the traditional classical dialectics as the methodology of cognition in the light of the emergence of new unconventional forms of thinking synergetics as the theory of self-organization. Clarifies the meaning of the definition of “synergy” between the concepts of organization – self-organization, understand the basic properties of dissipative systems – the openness and nonlinearity. It is concluded that compatibility of opposite conditions and tendencies, which operates synergist such as chaos and order, instability and stability, chance and necessity, organization and disorganization, is impossible without the use of dialectical methods and laws.