Just adding on...
Yes, anarchy is the lack of government. Anarchy is a total lack of rules and control where everyone is free to do as they please. There are no boundaries. In fact, anarchy (in a perfect world) would be the ideal way to live. However, human nature prevents this. Someone's desire to kill and steal (and so on and so forth) is what makes anarchy fail. This is not a utopian society. Therefore, people (in my opinion) should look to the next best thing: a society in which government exists, but who's only responsibility is to protect the rights of its people (e.g., someone can't just have the freedom to kill someone -- that revokes the individual's right to live). That was the original intention of America's founding fathers -- to offer a country where people can live with rights and without fear of oppression. However, the American govt. has began to revoke an individual's rights over time. And now today, we have two parties that are favored by the mass majority of American citizens that really just favor two different extremes -- one favors social control while the other favors economic control. Either way, you are probably going to lose more freedom.