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Full Idea
Maybe strong supervenience is inconsistent with the irreducibility of the supervenient properties to their subvenient bases.
Gist of Idea
Maybe strong supervenience implies reduction
Source
Jaegwon Kim (Mind in a Physical World [1998], §1 p.012)
Book Ref
Kim,Jaegwon: 'Mind in the Physical World' [MIT 2000], p.12
A Reaction
If two things are really very very supervenient on one another (superdupervenient?), then you have to ask WHY? If there isn't identity, then there is surely a highly lawlike connection?