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You seem to be speaking of communism, not socialism.
> The motivating force behind socialism is envy. Nobody is allowed to have something that somebody else doesn't have.
You also appear to be grossly misunderstanding motivations. The general motivation is not that existing imbalance is some sort of sin, but rather that the imbalance, by nature, slides further and further out of control.
> not for their personal gain.
Arguments about working for personal gain and accumulation of wealth mean little to working class individuals that work mostly for survival and to accumulate their employer's wealth. Individuals (especially those supporting families) living paycheck to paycheck, with no financial mobility or leverage, are surely not seeing freedom in the system or even a path to get there.
I wanted to add:
As Wikipedia says, Socialism wants "social ownership", they want to do away with private property. That was the origin of the discussion. Since socialists want to confiscate wealth, people flee into crypto currencies, among other things.
"living paycheck to paycheck, with no financial mobility or leverage, are surely not seeing freedom in the system or even a path to get there."
So they want to instate Socialism to ensure that NOBODY has a path to freedom anymore. That is envy yet again.
If you live paycheck to paycheck, try to change your life. Under capitalism you are free to try other ways of living. Under socialism, living paycheck to paycheck, or rather food stamp to food stamp, is the only allowed way of existence.