What is the Art of public debate better known as?

Although we commonly think of the Word 'FORENSICS' as pertaining to the scientific study of crime scenes etc. it can also mean anything pertaining to or connected with debate or the courts of law. A further meaning, when used in the form of a noun, is directly The Art Of Public Debate. The root of the Word derives from the latin 'forens', or 'forensis' i.e belonging to the forum (public)