Traitorfish
The Tighnahulish Kid
Part of the difficulty in understanding anarchism is that it has no neat genealogy. With something like liberalism or socialism, you can map out a loose but workable map from its origins to the present day, plotting the various schools along a timeline, but anarchism comes from a hundred directions at once, and goes in a hundred more. It can emerge in radical Christianity and revolutionary syndicalism, it can advocates the abolition of the technology or the abolition of work, it can draw on Marx, Rousseau, Tolstoy, or all three at once. "Anarchism", used in general and rather than in a specific context (e.g. to refer to the Bakunin faction of the First International), can only really describe the commonalities of all these tendencies, for which the definition you quote- "belief in the abolition of all government and the organization of society on a voluntary, cooperative basis without recourse to force"- is about as close as you'll get. Simply put, there is no anarchism, but rather anarchisms, each very much their own creature.