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"Anarcho"-capitalists claim to be anarchists because they say that they oppose government. As such, as noted in the last section, they use a dictionary definition of anarchism. However, this fails to appreciate that anarchism is a political theory, not a dictionary definition

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So his claim is that anarchism = absence of government + no rent and profit. It's not a common definition nowadays.

By the way anarcho-capitalism is compatible top down with other form of more strict anarchism. You can make a voluntary anarcho-communistic society inside anarcho-capitalistic society.

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