Views has a setting to exclude the current nid from the URL from the listing one is currently viewing. This is essential when you have, say, a list of related nodes that are are defined by a category that includes the current node. If you don't exclude the current node, your current node will be listed in the "related content" block on itself. Well, obviously one is related to oneself, one thinks.
First, I tired to accomplish this through the UI with these steps, below.