[ycmbntrthrwaway]

I suggest you read at least the start of "An Anarchist FAQ". It is specifically dedicated to explaining why "anarcho-capitalism" is not anarchism.

From Introduction [1]: "We should also indicate the history of this FAQ. It was started in 1995 when a group of anarchists got together in order to write an FAQ refuting the claims of certain "libertarian" capitalists to being anarchists. Those who were involved in this project had spent many an hour on-line refuting claims by these people that capitalism and anarchism could go together."

It is pretty obvious that so-called "libertarians" (Rothbard et al., who argue for absolute private property) are not anarchist, but now that David Friedman's ideas and "Machinery of Freedom" book becomes popular and he calls himself "anarcho-capitalist" it became necessary to explain why "anarcho-capitalism" is an oxymoron again.

There is a long tradition of market anarchism, and even Agorsim (see Samuel Edward Konkin III) can be considered to be anarchism in my opinion, but "anarcho-capitalism" is not.

[1] http://anarchism.pageabode.com/afaq/intro.html