New enlarged and revised edition July 2018 based on excerpts from "Beyond the State and Politics. Capitalism for the New Millennium".‘Anarcho-capitalism’ is the name of a governance that has property, freedom, and non-aggression as its first principles. In the political spectrum, libertarianism differs from the classical liberalism and is distinct from the American usage of the word ‘liberalism’. Classical liberalism put the property into the center of its system of governance. Yet the classical liberals were not strict enough in holding up the barrier against the erosion of the property rights. A political order of freedom requires a society with a minimum of state. Freedom requires uncompromising adherence to the property rights and to voluntary exchange relations. As much market as possible - as little state as necessary refers only to the way. Ultimately, the ideal of anarcho-capitalism is to minimize and to abolish the state as the bearer of the monopoly of violence. Yet anarchism in the sense of no authoritative force does not mean that order would not exist. According to the ideal of the liberal order, there will be a legal and a social order in place - only that it will be private. Anarcho-capitalism demands private institutions that take care of internal and external security. Anarcho-capitalism does not promote anarchy but the transformation of the state as a public institution into a private legal order.Taking away power from the state is a moral necessity in the face of the prospect that the new technologies would put such an immense arsenal of surveillance and control into the hands of the state that a future totalitarian regime could exert complete control over the individual and produce the uttermost terror. Therefore, to establish an anarcho-capitalist order is a matter of human dignity. What needs to be done as practical steps to establish a new order of liberty is a change of the system of selection of the representatives through a lottery, called 'demarchy' or sortition. This form of governance selects the members of the legislature as a random sample from a pool of candidates formed by the citizens of a community. A stateless society would then require that this General Assembly hires a private government management company to run the business of government under the supervision of the legislature.