1. The belief that all forms of goverment are oppressive and therefore undesirable.
2. The desire to therefore create a "Utopia" based on free human cooperation in which all members of the "Utopia" are equal without laws, class, prejudice, militarism or hierarchy or the need there of.
3. Recognizing that a autonomous community is the embodiment of this "Utopia" based on emperical examples which have manifested through out the course of history.
Examples of Anarchism are all around us. Like when a stop light goes out and the all drivers take turns crossing the street, during a mosh pit at a punk show when all those in the mosh pit help someone up who has fallen instead of trampling them or at a dinner where all those eating divide the duties of the meal up equally. Anarchism is basically voluntary human cooperation. It's mutual trading out of respect for each other as oppose to trading based on the forces you can bring to bare on each other. It's order without oppression and Democracy without goverment.
Those who are uneducated about the history of Anarchism will tell you that it will never work. In all actuallity it does work to varying degrees. Burning Man, the E.Z.L.N, the Spanish Revolution, the Paris commune and African tribes are just some of the many examples to name a few.
There are many forms of Anarchism. Ranging from but not limited to, Anarcho-Primitism to Anarcho-Feminism to Anarcho-Communism or to my owm personal choice, Anarcho-Syndicalism.
Some key Anarchist thinkers include but once again are not limited to Emma Goldman, Peter Kropotkin, John Zerzan, Pierre Proudhon and Rudolf Rocker.
On a personal note, I would ask everyone reading this to set aside they're prejudices and actually read up on the subject if it so intruges them.