I'm afraid that there are a few fundamental miscommunications between "capital A" Anarchists and the rest of us in the thread, let me see if I can clear them up.
First, the word itself - "lower case a" anarchy means simply the absence of rulers. It makes no more promise than that, it's highly unpredictable and can lead to a wide range of social or anti-social behaviours, hence why a number of posters are synonimising it with chaos. It is generally assumed that the way that anarchy resolves is by pockets of "rule of law" forming (despotic, democratic, it varies) then taking over, and society resuming in a new configuration. "Capital A" Anarchy is the belief that there is a working way of staying in that state without rulers indefinitely without needing to resort to "top down" forms of government in order ot make life liveable. I can see where they're coming from, but I just don't buy it as a means of sustaining mass society.
It's really a question of what you believe about the state of nature. As I reckon about half of you are aware, this is the philosophical question of how mankind behaved before civilisation, and it implies how mankind will/should behave if societal structure was abandoned. John Locke and others thought that reason and fairness would assert itself as a law of nature given the time and space to do so, and that's the worldview that informs Anarchism. Hobbes and others saw it differently - they thought that without something holding us all back, enough of us would want to exert dominance over each other that the whole thing would descend into 'a war of man against man' forever. To Hobbes, society protects us from our own worst tendencies, and I tend to subscribe to that belief. This is the fundamental philosophical argument a number of you are really having right now.
As I say, I can see the appeal of Anarchism, and I'd explain it thus - the most successful Anarchist movement on the planet is the "night out with the mates". Think about it; no one 'leads' your friends when you all go out on the town together and yet everyone is working together for the common goal of having a good time, there is an unspoken pact of mutual protection without any formalism, decisions are made organically with input from all, and there is a sense of exhiliration in the fact that you can do whatever you want, you are master of your own destiny. However, like a great party, Anarchism just doesn't scale well. If more and more people join the group, factions and sub-groups start to form as more and more voices compete for the same conversation time, and voices aren't heard. As people you've never met before join the group, it can be really hard to keep the same feel of cameraderie (especially if they have a slightly different idea of a good time), and that's when the group stops working smoothly and some kind of organisation is needed - in my experience someone with a plan usually steps up and starts forming a little steerage committee for your pub crawl. And now we're building governance.