> Capitalism is simply an economic system where the means of production are privately owned.
Just a nitpick, there is another condition, which is that the labor is traded on the free market under capitalism. I can imagine a society where everything is done in cooperatives where the workers are also the owners (they have shared private ownership).
The natural state in capitalism is that a worker owns their own means of production - their time. If one wants to trade their time into a collective, that is their time to trade. Slavery breaks this, and one of the more interesting facets of the American civil war was that the North (anti-slavery side) was much more efficient than was the South (which favored slavery), even in agriculture.
Labor is not capital (means of production), it's not being "owned", since one cannot accumulate it. That analysis is deliberately obfuscating problems with capitalism, which stem from capital accumulation. (And if anything, it is slavery that turns labor into actual capital.)
Just a nitpick, there is another condition, which is that the labor is traded on the free market under capitalism. I can imagine a society where everything is done in cooperatives where the workers are also the owners (they have shared private ownership).