It is interesting to observe the contrasting attitudes of our left-liberal culture to the two kinds of crime, organized versus unorganized. Organized crime is essentially anarcho-capitalist, a productive industry struggling to govern itself; apart from attempts to monopolize and injure competitors, it is productive and non-aggressive. Unorganized, or street, crime, in contrast, is random, punkish, viciously aggressive against the innocent, and has no redeeming social feature. Wouldn't you know, then, that our leftist culture hates and reviles the Mafia and organized crime, while it lovingly excuses, and apologizes for, chaotic and random street punksviolence which amounts to "anarchy" in the bad, or common meaning. In a sense, street violence embodies the ideal of left-anarchism: since it constitutes an assault on the rights of person and property, and on the rule of law that codifies such rights.
One great scene in The Godfather embodies the difference between right and left anarchism. One errant, former member of the Corleone famiglia abases himself before The Godfather (Marlon Brando). A certain punk had raped and brutalized his daughter. He went to the police and the courts, and the punk was, at last, let go (presumably by crafty ACLU-type lawyers and a soft judicial system). This distraught father now comes to Don Corleone for justice. Brando gently upbraids the father: "Why didn't you come to me? Why did you go to The State?" The inference is clear: the State isn't engaged in equity and justice; to obtain justice, you must come to the famiglia. Finally, Brando relents: "What would you have me do?" The father whispers in the Godfather's ear. "No, no, that is too much. We will take care of him properly." So not only do we see anarcho-capitalist justice carried out, but it is clear that the Mafia code has a nicely fashioned theory of proportionate justice. In a world where the idea that the punishment should fit the crime has been abandonedand still struggled over by libertarian theorists it is heart-warming to see that the Mafia has worked it out in practice.
Anarchism is a political theory which aims to create anarchy, "the absence of a master, of a sovereign." In other words, anarchism is a political theory which aims to create a society within which individuals freely co-operate together as equals. As such anarchism opposes all forms of hierarchical control - be that control by the state or a capitalist - as harmful to the individual and their individuality as well as unnecessary.
While the popular understanding of anarchism is of a violent, anti-State movement, anarchism is a much more subtle and nuanced tradition then a simple opposition to government power. Anarchists oppose the idea that power and domination are necessary for society, and instead advocate more co-operative, anti-hierarchical forms of social, political and economic organisation. However, "anarchism" and "anarchy" are undoubtedly the most misrepresented ideas in political theory. Generally, the words are used to mean "chaos" or "without order," and so, by implication, anarchists desire social chaos and a return to the "laws of the jungle." This process of misrepresentation is not without historical parallel. For example, in countries which have considered government by one person (monarchy) necessary, the words "republic" or "democracy" have been used precisely like "anarchy," to imply disorder and confusion. Those with a vested interest in preserving the statusquo will obviously wish to imply that opposition to the current system cannot work in practice, and that a new form of society will only lead to chaos. Or, as Errico Malatesta expresses it:
"since it was thought that government was necessary and that without government there could only be disorder and confusion, it was natural and logical that anarchy, which means absence of government, should sound like absence of order."
The word "anarchy" is from the Greek, prefix an (or a), meaning "not," "the want of," "the absence of," or "the lack of", plus archos, meaning "a ruler," "director", "chief," "person in charge," or "authority." Or, as Peter Kropotkin put it, Anarchy comes from the Greek words meaning "contrary to authority." While the Greek words anarchos and anarchia are often taken to mean "having no government" or "being without a government," as can be seen, the strict, original meaning of anarchism was not simply "no government." "An-archy" means "without a ruler," or more generally, "without authority," and it is in this sense that anarchists have continually used the word. For example, we find Kropotkin arguing that anarchism "attacks not only capital, but also the main sources of the power of capitalism: law, authority, and the State." For anarchists, anarchy means "not necessarily absence of order, as is generally supposed, but an absence of rule."
Anarchism can be understood as the generic social and political idea that expresses negation of all power, sovereignty, domination, and hierarchical division, and a will to their dissolution. . . Anarchism is therefore more than anti-statism . . . [even if] government (the state) . . . is, appropriately, the central focus of anarchist critique. For this reason, rather than being purely anti-government or anti-state, anarchism is primarily a movement against hierarchy. Why? Because hierarchy is the organisational structure that embodies authority. Since the state is the "highest" form of hierarchy, anarchists are, by definition, anti-state; but this is not a sufficient definition of anarchism. This means that real anarchists are opposed to all forms of hierarchical organisation, not only the state. They are therefore opposed to what the Mexican anarchist Flores Magon called the 'sombre trinity' -- state, capital and the church. Anarchists are thus opposed to both capitalism and to the state, as well as to all forms of religious authority. But anarchists also seek to establish or bring about by varying means, a condition of anarchy, that is, a decentralised society without coercive institutions, a society organised through a federation of voluntary associations. Reference to "hierarchy" in this context is a fairly recent development -- the "classical" anarchists such as Proudhon, Bakunin and Kropotkin did use the word, but rarely (they usually preferred "authority," which was used as short-hand for "authoritarian"). However, it's clear from their writings that theirs was a philosophy against hierarchy, against any inequality of power or privileges between individuals. This opposition to hierarchy is, for anarchists, not limited to just the state or government. It includes all authoritarian economic and social relationships as well as political ones, particularly those associated with capitalist property and wage labour.
Thus "anarchy" means more than just "no government," it means opposition to all forms of authoritarian organisation and hierarchy. In Kropotkin's words, "the origin of the anarchist inception of society . . . [lies in] the criticism ... of the hierarchical organisations and the authoritarian conceptions of society; and ... the analysis of the tendencies that are seen in the progressive movements of mankind. Thus any attempt to assert that anarchy is purely anti-state is a misrepresentation of the word and the way it has been used by the anarchist movement. When one examines the writings of classical anarchists... as well as the character of anarchist movements... it is clearly evident that it has never had this limited vision [of just being against the state]. It has always challenged all forms of authority and exploitation, and has been equally critical of capitalism and religion as it has been of the state. And, just to state the obvious, anarchy does not mean chaos nor do anarchists seek to create chaos or disorder. Instead, they wish to create a society based upon individual freedom and voluntary co-operation. In other words, order from the bottom up, not disorder imposed from the top down by authorities.
To quote Peter Kropotkin, Anarchism is "the no-government system of socialism." In other words, "the abolition of exploitation and oppression of man by man, that is the abolition of private property [i.e. capitalism] and government." Anarchism, therefore, is a political theory that aims to create a society which is without political, economic or social hierarchies. Anarchists maintain that anarchy, the absence of rulers, is a viable form of social system and so work for the maximisation of individual liberty and social equality. They see the goals of liberty and equality as mutually self-supporting. While there are many different types of anarchism (from individualist anarchism to communist-anarchism -- there has always been two common positions at the core of all of them -- opposition to government and opposition to capitalism. In the words of the individualist-anarchist Benjamin Tucker, anarchism insists on "the abolition of the State and the abolition of usury; on no more government of man by man, and no more exploitation of man by man. All anarchists view profit, interest and rent as usury (i.e. as exploitation) and so oppose them and the conditions that create them just as much as they oppose government and the State. More generally, in the words of L. Susan Brown, the "unifying link" within anarchism "is a universal condemnation of hierarchy and domination and a willingness to fight for the freedom of the human individual." For anarchists, a person cannot be free if they are subject to state or capitalist authority.