Private Sector and Public Sector

In their common Economic usages, 'private sector' and 'public sector' signify a possibly antagonistic adjacency.  However, that 'private' and 'public' themselves are related as 'closed' to 'open' suggests that a more radical distinction between them is being homogenized in those usages.  Indeed, their actual relation is entailed in the concept of Division of Labor, which presupposes an organization of a work-force, and, hence, requires an organizer of its parts.  In the Republic, that organizer is the Philosopher-King, the modern correlate of which is the Government, in an orchestra, the conductor.  So, the Private-Public distinction, properly conceived, is that of Part to Whole, and any apparent antagonism, e. g. profits vs. regulation, is a symptom of a dysfunctional organization, comparable to unhealth.  Likewise, the reduction of the scope of the Public to a 'sector' that is commensurate with another 'sector', is a reduction of the Whole to a Part, and, so, signifies a dysfunctional Economic condition.