But to fully understand it, you have to understand the underlying and subtle theme of anarchy, that is, instead of trying to dominate man with force and violence in order to have a stable society, anarchy attempts to use man's own nature and create an environment where a system of rewards, incentives and punishments are naturally occurring. Ultimately leading to a free and stable society through rigorous use of knowledge about human nature, sound logic and reasoning. The market ( a representation of human wants and needs) is the perfect tool. Therefore, AC opposes any unnatural interference to the market.
It's the abandonment of violence in favor of reason and adaptation of preferred behavior with natural incentives. The idea is close to 100 years old, but this philosophy still in it's infancy. There are a lot of complications, but almost all human problems can be solved without commanding force.