How to remove "Anonymous" name from comment form

I've decided to use Drupal for a totally minimalistic website, which I'm sure I would be able to put together from scratch in just a few days. Anyway, I take it as a good exercise in altering and theming even the tiniest elements of a Drupal system.

I ran into a couple of problems while working on the website, but I spent most time on trying to remove the default value from the comment form Name input box. For such a small modification, a few hour struggle has been long enough to trigger a blog post.