Quote:
far left is socialism and far right is zero government.
Uh-oh, I feel the ol' "nazis were socialist and therefore leftists" trope coming on...
The traditional left-right spectrum is useful is determining the
end goals of a society, not the means. Left wingers are more often than not in favor of greater social equality, equitable economic distribution and individual rights. The right, otoh, tend to place greater emphasis on hierarchy, strict traditional societal roles, varying degrees of granted privilege and a greater emphasis on rule by a select few deemed worthy, determined by various means (royal bloodlines, religious authority or economic power/wealth).
Where things get confusing for many is
how these goals are achieved, which is not represented very well by that spectrum (or any spectrum, I would argue).
Anarchists/communists/socialists are left wing because they are meant to be organizational systems designed to achieve the goals of equality and liberty for
ALL. Nazism, fascism, theocracy and, arguably, capitalism, fall on the right becasue they are hierarchical systems, with a few on top ruling those below. Obviously, there are shades of grey within those, and varying degrees of social/economic liberty amongst them (capitalism, for instance, usually comes with a healthy does of social freedom for most, and often a [limited] amount of political freedom. Anarcho-capitalists, for instance, want to maximize these areas, while strictly maintaining a economic hierarchy through property, which makes them right-wing).
Left-wing anarchists are definitely left-wing; they argue for a horizontal society is which all people are liberated from hierarchical systems; religion, capitalism, state violence and oppression, etc. They advocate for total ownership of society by the people in it. This is why, referencing the left-right spectrum, they are left wing.