What do I do with the Boots Of Introspection? When I have them equipped, I can't walk. Is there something else I can use them for?
According to the Wiki, you obtain these boots from defeating yourself, and their sole purpose is to prevent you from moving. The description:
Take the time to breathe and calm down. If you wear these boots, you will never move as long as you touch the ground.
It sounds like its a gag item, especially when one considers the definition of Introspection.
Introspection: the examination or observation of one's own mental and emotional processes.