#3. Anarchy means the non-aggression principle is optional.
If you believe in the non-aggression principle… who’s job is it to enforce it? If someone breaks into your home, and you are unable to defend yourself, or pay for private security, who do you call? If you have a dispute with your neighbor, who (you allege) stole your life savings, how will you sue them or have them arrested to get it back, assuming you might be correct?
In an anarchist state, no one is responsible for defending life, liberty, or property unless they are paid to do so. Crimes such as theft, fraud, breach of contract, or murder could be committed against those who do not have the means of self-defense. In Ancapistan… no one can hear you scream. And no one cares.