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None of which has anything to do with colleges or social safety nets provided by taxing free market capitalist business. Ask a any liberal from college kid to a Hollywood fat cat if they think the nation's industry should be nationalized and they'd think you're insane. Eliminating the health insurance "industry" doesn't count, since they're vampires that produce nothing but inefficiency. Not a "means of production". Using these terms in any way that does not include the context of "means of production" is meaningless.Marxism is a political and economic way of organizing society, where the workers own the means of production.
Socialism is a way of organizing a society in which the means of production are owned and controlled by the proletariat. Marx proposed that this was the next necessary step in the progress of history.
Communism is the theoretical classless, stateless society that Marx proposed would arise after Socialism.