Paperclipper has an optimizing power. Let it enter your solar system, and soon you will see a lot of paperclips. Watch how it makes them. Then create some simple obstacles to this process. Wait for a while, and see even more paperclips after your obstacles were removed or circumvented.

Doesn't happen with a rock. I can't quite imagine what an anti-inductive mind would do... probably random actions most likely leading to a soon self-destruction (at which point it stops being a mind).