When I say socialism I mean worker ownership of the means of production.
Socialism as the worker ownership of the means of production is quite different from socialism as defined as state ownership of the means of production. The latter differs little from capitalism. Capitalism as well as state ownership of the means of production places the worker in submission to a president, state or authority that owns the association of workers and the product of their labor.
The worker is forced to work for the capitalist (owner of the means of production) because the options are slim. The means of production is most often only obtainable through existing wealth. This is used to justify the continued claim the capitalist has over the product of the workers labor through property. This idea of property is property as dominion over a collective of people, the workers. This is property as the right of increase, to increase wealth not by labor but by claim to the product of the workers labor.
Socialism by this definition is the idea that the worker owns the product of their own labor.