Capitalism is the term for the market system popularized by Karl Marx. If socialists want to incorporate markets, I am all for it, since it slips capitalism through the back door. This represents a total classical liberal/libertarian victory over socialist ideologies of the past. The only thing they have kept are slogans and terms.
The key thing modern progressives need to do is cut out their naiive criticisms of economics. The usual gambit is to repeat criticisms of Marx, et al. of classical economics, which mostly amount to charicature and ridicule, and don't even apply to classical economics, let alone modern subjectivist economics.
The so-called left libertarians represented by C4SS are the most pre-eminent and sophisticated of the 'socialist'-oriented political ideologies. But like all socialist types, they cannot free themselves from the dogma that labor is a special kind of factor of production which, as they think, not being exposed to the principles of choice under scarcity, follows different principles governing action and exchange than those which cover all other economic factors of production. Carson takes pains to demonstrate this in his book, but is ultimately unsuccessful.
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