Indented line All Your definition of Supervenience doesn t get off on the right foot Supervenience does not deal with higher and lower level properties at all that is a matter for reductionism and anti reductionism Here is an observation All physicalists must hold that mental states supervene on physical states but this does not imply that physicalists must have a particular view on the reductionism of higher level properties to lower level ones I will attempt to clean this up but you should read for a discussion There is a systematic misunderstanding on Wikipedia about what supervenience is the main article is not very focussed occasionally conflating reductionism with supervenience it also introduces exotic views rarely associated with supervenience so this will likely take a while