A is not metaphysically necessary and A is not metaphysically supervenient upon B. But if other special sciences are not reducible to physics either, the dualist is faced with a dilemma. Either she must give up Negative EMC, and with it the principal argument for dualism, or she must draw similar conclusions with respect to other irreducible phenomena, the result being not a dualism but a pluralism of higher ordinality. Dualism can be reconciled with explanatory pluralism only by producing a reason to think that only the mind-body gap implies a failure of supervenience.