"An economic system in which the state (government) gains control over the means of production such as land and natural resources" is not a correct definition for capitalism.
Capitalism is an economic system based on individuals, companies or corporations owning property or capital (cash or reserves).
Private ownership is sometimes used to mean sole proprietorship, although the term "private" can also be used to refer to shared ownership in the form of corporate ownership. So, in this context, "privately owned" would mean something that is not in state ownership or control and run for profit.
The opposite of capitalism is Communism, which is based on Karl Marx's social and economic critique of capitalism in his book Das Kapital.
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