Last Friday the SMU philosophy of mind reading group read Sydney Shoemaker’s “Realization and Mental Causation” (in Gillet and Loewer (eds.) Physicalism and Its Discontents, reprinted in the 2nd edition of Shoemaker’s collection Identity, Cause, and Mind (2003). I am something of a fan of Shoemaker’s work, having written about and followed his work on phenomenal content very closely. I had not read his more metaphysical work in the philosophy of mind as carefully. But I found this paper of Shoemaker’s to be insightful in the ways that characterize the rest of his work.
According to Shoemaker, what it is for a property X to realize a property Y is for the conditional powers bestowed by Y to be a a subset of the conditional powers bestowed by X. A conditional power of a thing is one that, together with other properties the thing has, will determine a power simpliciter.
In the case of multiple realizability, “the conditional powers bestowed by it [the realized property] will be a proper subset of the sets bestowed by each of the realizer properties.”
There are at least three ways of understanding this view, and it was not clear to me which was Shoemaker’s intended view. It is quite possible that a more careful reading might eliminate my uncertainty about which view was intended. But I think all three views may in fact have difficulties, so that my worries about Shoemaker’s proposal might be expressed as a dilemma.