There is a distinction between the commonly held meaning of anarchy (as chaos) and the political philosophy (which is why there are 2 asterisks).
Anarchism the political ideology believe that order doesn't not have to come from a centralized state via force. Rather it can happen organically... since the vast majority of humans desire order. We all value security, eatting, etc.
The difference is that order is maintained not via coercion by a central authority but by individuals, communities or markets (depending on the various branches of anarchy).
This book explores the concept very well and is heavily cited in philosophy circles:
http://en.wikipedia.org/wiki/Anarchy,_State,_and_Utopia
One of his arguments is that a sort of minimal state will eventually begin to appear in an anarchist society (minarchy).