In the psychological sense, I see freedom as the ceasing of unfulfillable desires and ignorance of self. Sort of like Buddhism.
On a more abstract, political scale, I don't think we can ever be fully independent. Humans are social animals that require the presence of other people to live normally. We can not invent a language or even some of the most basic thought processes without encountering others. This, I believe, is the fatal flaw in ideological libertarianism.
Freedom in the first sense is not selfish. Freedom in the second sense, is.