Jet Skis and Scuba Divers: Demonstrating Depth of Thought

We are continuing our discussion on critical thought from last week by discussing the other side of that coin, expressing your ideas effectively.  After our critical analysis, after going deeper into a subject, how do we demonstrate depth of thought in our writing?  It isn't enough to think deeply, we need to be able to establish our assertions clearly and demonstrate our thinking for the reader.  You hosts discuss demonstrating depth of thought and offer some concrete advice on how to improve your own writing.