The General Theory of Law has been changing along the development of globalization as an economic and cultural phenomenon. From this perspective the study of law has also been going through changes, aimed to explore new ways of compression and promotion of the legal phenomenon. This study offers two analysis of the way of conceiving the law of a society, first, from a descriptive perspective, which responds to the legal conventionalism, in which the research results will be presented on the concept of existence of legal rules, that tries to explain two key aspects in the creation of law, one social (conventionalism) and other systemic (positivism); and second, from a functional perspective, in which will be presented the preliminary results...