Full Idea
Any intereresting supervenience thesis requires that the class of facts on which the allegedly supervening facts supervene be characterizable independently, without use or presupposition of the notions involved in stating the supervening facts.
Gist of Idea
Interesting supervenience must characterise the base quite differently from what supervenes on it
Source
Bob Hale (Necessary Beings [2013], 03.4.1)
Book Reference
Hale,Bob: 'Necessary Beings' [OUP 2013], p.82
A Reaction
There might be intermediate cases here, since having descriptions which are utterly unconnected (at any level) might be rather challenging.