"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 organization."
Anarchism is a political theory which aims to create anarchy, "the absence of a master, of a sovereign." [P-J Proudhon, What is Property , p. 264] 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.
In the words of anarchist L. Susan Brown:
"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." [The Politics of Individualism, p. 106]
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 status quo 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." [Anarchy, p. 16]