At first I thought it would screw up your Posts permalinks but after checking on my test blog, the permalink will stay the same unless you change it. You can see this approach at work on my test blog http://myjustatest.wordpress.com/ I changed the name of the Posts page tab from “Posts” to “Musings” but the underlying link is the same as before.
Thanks justjennifer! Yes, I’m using a static front page. You put me on the right track. I went back to my Dashboard and Manage pages. Clicked on Posts and when it opened I changed the title to Blog. Worked like a charm! And all my posts are still there. Terrific!