It depends on the type of Libertarianism. Some of them believe the government should be so minimal that it does not provide education, health care, infrastructure, or defense. Some acknowledge such a position would harm society, and that the state does need to provide at least a few key services, such as primary education and defense. The Libertarianism promoted by the Koch brothers would inherently dissolve the government by eliminating taxes while Milton Friedman, by comparison, had some very generous positions.