The root word of anarchy is archy. It is a Greek word "arkhi" which means ruler, authority or leader. Combined with "a" which means not or without. Therefore, anarchy means a person or a community "without ruler", "without authority", or "without leader".
Analyzing this information is quite a "paine" indeed. Thomas Paine is using different types of literary devices it seems. But I cannot help you much further I am sorry.
