The nature of discourse and argument Part 1

The term argument leads a double life. In common usage it means to fight about or to disagree, usually loudly, and sometimes with thrown objects. However in the formal sense of logic it means the discussion or addressing of a topic. Now these should be easily distinguished; I am having an argument with my wife versus the argument is lacking in rigor. But for the sake of ease in reading, I will use argument in the logical sense only and use disagreement or fight for the other while writing this post, and most probably this blog.