Anarchism is popularly considered as a violent or terrorist movement that seeks to plunge our happy consumerist world into utter chaos. This is pure nonsense.
Anarchism is a political theory which rejects the heirarchical organization of society. Anarchists consider that people can voluntarily cooperate to meet everyone's needs, without bosses or political authority, and without sacrificing individual freedom. Instead of a society of individuals competing against one another, some enjoying huge advantages, each only looking after his or her own interests, an anarchist community would be a cooperative effort.
Anarchism posits that the author