Introduction
Libertarianism is support for liberty. The term also may be used as a direct synonym for anarchism, especially outside the U.S.; see the anarchism article for this usage.
Body
Right or Free Market libertarianism
Moralist
Natural rights
Brief note on natural rights free-market anarchism
Objectivism
Consequentialist
Milton Friedmanm, Hayek
Anarchist (maybe give this its own section or include as subsection in the above sections)
Free market anarchism
Murray Rothbard, David Friedman
Left libertarianism
Egalitarian ownership of natural resources
Neologistic use of the term by some free marketers
Anarchism
Capitalist
Socialist
Libertarian socialism is another term for socialist anarchism by anarchists who don't wish to use the term "anarchist," in order to avoid the association of violence with the term "anarchist." "Libertarian" traditionally meant "anarchist" before being defined to mean support for liberty in general. Therefore some socialist anarchists today wish to continue using the term in the traditional sense.