analogy between Arrow's Impossibility and Goodman's Grue?

[gusl]

A few days ago I thought of a loose analogy between Arrow's Impossibility Theorem (no democracy can be reasonable) and Goodman's Grue sort of idea: it's impossible to reason independently of your choice of representation, and such a choice must be arbitrary.

I had a very tenuous grasp on it, and now it seems to be gone. Can anyone see an interesting connection?