Anarcho-capitalism is a political philosophy that says that governments that make people pay taxes are bad, and that society would be better if the things that governments do were done by the free market instead. It is called anarcho-capitalism because it is a mix of the anarchist idea that governments are bad, and the capitalist idea that private property is good. Anarcho-capitalists say that the government is a thief, because it takes people's money away against their will, and keeps them from making trades between themselves.
Anarcho-capitalists think that without armies and police that are paid for with taxes, people will still be able to protect themselves by paying people to defend them. They also think that when people get into fights or arguments about who owns what, that instead of being forced to go to a court that the government sets up, they should be able to get together and decide what kind of court to go to and what kind of rules they should be judged by.
Most libertarians think that there needs to be a government in order to protect people's property, which makes anarcho-capitalists different, even though they are still a kind of libertarian. On the other hand, most anarchists don't agree with anarcho-capitalism because they think that it's bad to use force to stop someone from using someone else's property. A lot of anarchists don't even think that anarcho-capitalism counts as a real kind of anarchism. That is because most anarchists aren't just against the government, but the whole idea of hierarchy. Hierarchy is when one person is seen as being more important than another person. They say that capitalism creates hierarchies because some people have more money than others.
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