Is there any relationship between natural law and legal positivism?

An hypothesis is an idea that has not been proven - it is as yet a supposition. Such that "on average females are shorter than males". A theory is an idea that has been proven at a fundamental level....

the law is something we have to do or prison, the history is something that tells what happens in the past.

Classic push - pull relationship. One exists because of the other. Law can be the fuse to ignite a war, and the result of war is law.

In most US jurisdictions, sex between an aunt and her nephew is considered to be incest and is illegal.