We call them the 'heels' of the bread, and yes, we eat them. On a proper loaf of bread, they're the best part! I do agree that on low quality bread they are pretty bad, but that's why we only buy from the bakery section (when I'm not able to bake it myself) and not from the shelf.
If you don't like them, perhaps use them for croutons, or Tuscan Bread Soup, or bread crumbs?