As an introduction to his blog post
The Organic Body Politics and Parental Licensure Adam Gurri defines 3 libertarian perspectives
- Natural Rights libertarian
- Consequentialist libertarian
- Organic libertarian
While most libertarians probably consider aspects of all three types, the philosophical purists general stick with one “school” at a time when making arguments for or against public policy.
Natural Rights libertarians, perhaps the most popular branch, start with the Non-Aggression Principle as a natural right.
The Consequentialist starts with attempting to minimize harm, a form of utilitarianism.
Organic libertarian is a more Hayekian approach, which emphasizes civil and political relations that are grown rather than designed. They are discovered not as axiomatic or universal truths but as casuistically discerned approaches which are stable over generations, an approach generally followed by conservatives.