Private property is not determined by its owner, but rather its function. Ordinary people can own private property, such as land which is taxed or rented out, means of production upon which people are employed etc. It is a fact that the Venezuelan state owns private property, and also that they employ people in exchange for wages. This is
no different at all to what Apple or GM does in the United States.
It is also possible for society in general to act as a capitalist. The way Marx and other Socialists use the term "private property" is perhaps different to its modern meaning. Proudhon writes,
>There are different kinds of property: 1. Property pure and simple, the dominant and seigniorial power over a thing; or, as they term it, naked property. 2. Possession. “Possession,” says Duranton, “is a matter of fact, not of right.” Toullier: “Property is a right, a legal power; possession is a fact.” The tenant, the farmer, the commandité, the usufructuary, are possessors; the owner who lets and lends for use, the heir who is to come into possession on the death of a usufructuary, are proprietors. If I may venture the comparison: a lover is a possessor, a husband is a proprietor.