> And by socialist system with a free market do you mean one where private ownership of the modes of production remains legal, but simply isn't chosen, or do yo

> And by socialist system with a free market do you mean one where private ownership of the modes of production remains legal, but simply isn't chosen, or do you consider banning private ownership compatible with free markets? I would consider public ownership but not state ownership compatible with free markets. The only essential element for free markets is competition with sufficiently low regulation. Some socialist ideologies are inherently incompatible with markets, some are not. E.g. libertarian Marxism and other form of libterian socialism are, because they reject centralised government entirely.