Aphex_Twin said:
We're playing the definition game (again)
Anarchy, in the proper meaning of the word, means 'without political leader.' In your rendition it is 'without inter-personal authority', so a more proper way to define it would be: antiauthoritarian-egalitarian-self-styled-statist-pragmatist. I would then be: antistatist-systematic-propertarian. So, as not to do tongue twisters all way, I propose we call it 'left anarchy' and 'right anarchy.'
(Or, 'evil anarchy' and 'the right (kind of) anarchy'... but I'm flexible

)
We are not playing any game, we are sorting out fundamental ideological terms.
According to Kropotkin, the Greek word means "contrary to authority".All sorts of authority. Or to lift a part from my FAQ:
"Anarchism can be understood as the generic social and political idea that expresses negation of all power, sovereignty, domination, and hierarchical division, and a will to their dissolution. . . Anarchism is therefore more than anti-statism . . . [even if] government (the state) . . . is, appropriately, the central focus of anarchist critique." [David Weick:Reinventing Anarchy, p. 139]
Anarchism is a political theory, not a lexical definition.The people who developed it into a political ideology was very much opposed to capitalism, and for the branch I belong to, also closely connected to organized labour.
Thus anarchism as political ideology is not
only a opposition to government, but
just as much (and sometimes more), opposition to private property and exploitation.
Quite simply, if you are not against interest, rents and profits, then you are not an anarchist.
Since
your ideology is based on the concept that property is the basis of human freedom, I see absolutely no reason why you shouldn't call yourself a proprietarian. That would be crystal clear and avoid any tongue twisting.
Of course I can't tell
you what you should and what you should not call yourself. But it would be much less confusing if political groups did not adopt the name of other political groups who they in crucial ways differ fundamentally from(I think you would prefer your country to my ideal society, and I know that I would very much prefer mine to the model of society you propose).
Political debates, both on this forum and in RL, are confusing enough already.
