Article dwells on methodology of complexity concept application in modern scientific discourse. Noting impossibility of its use in a well-settled blurred and eclectic form, the author proposes to differentiate this concept by three arguments: syncretic and combined complexity, complexity of system and complexity of specialization, and finally complexity of structural elements and inter-elementary links. This differentiation sets a fundamentally new methodological optics in analyzing a wide range of phenomena relating to both the natural sciences and humanitarian areas, as well as to the problem of evolutionary dynamics.

The article examines development aspects of the strategic theory of a firm in terms of existing approaches integration, creation of the firm strategic model and its practical application. It analyzes contradictions between various approaches to firms study. It substantiates the method of practical confirmation or disproof of the dynamic capabilities concept.

Discoveries model, containing information from the future, is contrary to the “arrow of time”, if the system is open, or to inability for spontaneous entropy reduction within it, if it is closed (self-contained). Top representatives of science, defending the materialist concept of creativity, run into a barrier, on the other side of which they are already expected by religious philosophers.

The article formulates and discusses in details two fundamental properties of cognitive processes activation methods for solving the IV level complexity problems. Complexity level is determined by some type of cognitive process, which is considered from gnoseological positions.

We can only consciously use the subconsciousness just like once we used a thermometer without knowing the nature and meaning of the term “temperature”. If we have recourse to the image of network (thin cloth), which incorporates all the objects of Being, the subconscious mind of a creative person can be perceived like a spider, sensitive to its slightest “twitches” caused by the influence of information grains. Just as a cell assimilates inorganic nutrition components into its living substance, thinking captures and assimilates previously extraneous, not related to it components.

The possibility of joint implementation of real options theory and game theory as applied to the subjects of the national economy modernizes the system of strategic management. Scenario analysis of competitive enterprises in framework of the market structure of “oligopoly” is presented. The mathematical apparatus of game theory allowing to use competitive enterprise management component as a strategic driver is explained. An example is given illustrating the possibility of exercising rights to specific activities in order to increase the capitalization of company, and the expansion of competitive advantage by optimizing strategic policy.

Each object of Being, including thinking, determines links that it creates to other objects and at the same time is determined by them. From their number and nature depends, in particular, the possibility of the object development (structuring), including the discovery, having the character of bifurcations.

Approaches to the nature of creativity are divided into materialistic ones and not quite. In the present article the author pays tribute to the materialist conception.

World of civilizations at the beginning of the new century suddenly came across four paradoxes, which called into question further existence of this world, the future of humanity.

Having knowledge on the harmony of functional systems and destructive capabilities of pathological system can guide us through catharsis without plunging into the apocalypse.