“There is a feature of all formal evaluative systems which ‘intrudes from above’ the order of their logics. In this sense, no formal system is at once complete and accurate.

We do not ordinarily grant formal existence to the gesture of the observer that distinguishes, unifies, or dissects. That is to say, when I count one (of something, say, a hand), how do I treat the gesture that distinguishes it from the universe, the world, the atmosphere, the rest of the body, and so on? Does it ‘count’ in any formal or useful way?

This matter is exceptionally profound, and informs our experience of identity and the meanings of distinction. But since we do not ordinarily ‘count’ this gesture, we do not notice or grant value to it. This is a mistake that is almost impossible to recover from.

The counting method I demonstrate in ‘the hand toy’ includes a way of valuing the gesture and physically demonstrating upscale linkage. It doesn’t overturn Gödel, it rides his discovery dynamically instead…”

— an anonymous informant