Van Cleve versus closure

Philosophical Studies 58 (3):239-242 (1990)
Abstract
In "Supervenience, Necessary Coextension, and Reducibility" (Philosophical Studies 49, 1986, 163-176), among other results, I showed that weak or ordinary supervenience is equivalent to Jaegwon Kim's strong supervenience, given certain assumptions: S4 modality, the usual modal conception of properties as class-concepts, and diagonal closure or resplicing of the set of base properties. This last means that any mapping of possible worlds into extensions of base properties counts itself as a base property. James Van Cleve attacks the modal conception of property and diagonal closure. To me it seems desperate to reject diagonal closure merely in order to save supervenience-materialism. But I concede that it may be unacceptable in the context of a sparser theory of properties
Keywords Closure  Logic  Supervenience  Kim, J  Van Cleve, J
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