[Sifmole]

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OK suppose the whole world becomes Anarcho-capitalist. What's to stop some rebels from building an Army and annexing a few thousand acres or hiring mercenaries and taking over a continent or two?

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Basic self-interest. It is in some people's interest to take over and control everyone's lives while it is in everyone else's interest to stop them. If individuals in a society are truly against oppression then it would be very difficult for one group to conquer everyone else.

The case you describe is very similar to US action in Vietnam. Note, though, that the US military was coercively funded and used involuntary labor (this would be very difficult in a society which values freedom) to pursue its conquest of Southeast Asia and STILL failed. It also benefited from patriotism/chauvinism etc...

Here is a question for you: how do you propose that someone funds this continental conquest?

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Um... Pillage?