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The 'private sector' of the economy is, in fact, the voluntary sector; and the 'public sector' is, in fact, the coercive sector.

Henry Hazlitt (1971). “Man Vs. the Welfare State”, p.121, Ludwig von Mises Institute
The 'private sector' of the economy is, in fact, the voluntary sector; and the 'public sector' is, in fact, the coercive sector.