Paradox Die

This useless artifact appeared in my hand in a dream, and I've tried to recreate it.

It is a die that defeats its own purpose. Every side is the same. Ideally, every side should be indistinguishable from every other side, but the paint smudged a little as you can see in the picture.

Each face is subdivided into the numbers 1 through 6. The total number of dots per side is 21, but that's just incidental. A normal die is supposed to collapse from an undetermined state to a determined state. When you shake it in your cupped hands it is undetermined. When it lands on the table, it rolls, say, a 5, and then the state is determined. But this die never arrives at a determined state. It is like Schrodinger's cat-box scenario where you NEVER get to open the box to see if the cat is alive or dead.

The dream may have been taunting my idea of "free will" by implying that we live in a strict deterministic universe. However, it's more likely driving at one of my fears as a child: the fear that there could be intrinsic properties of the universe which we may NEVER know. Contemplating Russell's Paradox can lead to some interesting mathematical conclusions about things we can never prove.