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Sorry, I see no value in this text because it wrongly assumes that ancap is about abolishing rules.

Ancap is about determining a specific functional set of rules and functional architecture to support it.

It's about evaluating forces and feedbacks in human societies and economies and designing a system where people are impeded in using power to enforce their vision upon other people.

That is why central authority and state are a problem - there are never backup mechanisms that you can switch to once the main one stops working correctly, and many people want this, because they want to capture that mechanism and enforce their will upon others. So even attempts to create backup mechanisms are met with resistance by crowds of fools who think that their favorite faction is the closest to capturing the main one and making others do something, and by people with power, who, of course, exist just as well ~~despite that being ideologically inconvenient for you~~.

The problem of someone eventually amassing too much power is not being solved by existing states any better than in ancap.

Thus ancaps are trying to design systems as decentralized as possible for human societies. So that there always would be backup mechanisms to run away to.

EDIT: If this is too abstract, that's because ancap as an ideology is defined by these criteria and not by specific solutions. And that's right, if an ideology puts its set of solutions above the goals, then it's a religious cult.