process of production and has a common heritage [4, p. 1417]. Consequently, the very
idea of research is to prove the possibility of a positive influence of the socio-economic
conflict on the development of mankind and can be expressed only through the
category "public".
The conflict is a social phenomenon, the main stimulus of which is the very nature
of social life. He directly expresses one or another aspect of social consciousness, the
place and role of man in it.
Proceeding from this, the social conflict can be represented through the integral
(1):
А ()=∫(,),
(1)
Hence the derivative of the parameter t, that is, the time of its origin and
distribution (2):
= (
2
,)
2
− (
1
,)
1
+ ∫
2
()
1
()
.
(2)
Given these derivatives, we mathematically interpret social development
according to the criterion of an existing social conflict by formulas (3) and (4).
()=∫(
,) + ∫(,),
(3)
hence the derivative of the parameter t:
= (
,)
− (,)
+ ∫
()
()
.
(4)
Consequently, social conflict as a platform for social development is such a
mathematical expression (5):
+∑+⋯+
∞
→∑
=∞
↔
,
(5)
where
– idea of conflict;
∑
– thought of the individual;
∞
- external
environment (infinite number of factors contributing to the formation of the conflict);
– social development;
– reaction to the idea.
So, from here, social development can take the form of a simple system (6):
= {
+ ∑+
=
}
(6)
where
– social development;
– actions of representatives of society
(statements, manifestations);
- readiness of the society to realize the idea.
The solution of contradictions, as sources of development of society, does not
necessarily take the form of confrontation or revolutionary actions can be carried out
through gradual reformation. Understanding of this was the impetus for the formation
of the concept of harmonious contradictions available in the team, the family, in the
life process, where there is a harmonious unity of contradictions. For the normal
functioning of a self-developing society [16, p. 67-77], a corresponding unity of
private, public and other forms of ownership is necessary.
One can draw a direct parallel between the conflict in the economic environment
and social dialogue as an instrument for its solution (Fig. 1). In other words, a conflict
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