In this paper, I argue for an often-neglected solution to the conceivability argument: the reconciliatory response. Its advocates state that, even if zombies are metaphysically possible, it does not follow that all versions of physicalism are false. To make the reconciliatory response, we must construct a theory that counts as a version of physicalism (because it makes higher-level facts count as physical) but also allows for the metaphysical possibility of zombies. Call any physicalist theory that can make the reconciliatory response (...) type-R physicalism. In this paper, I discuss one version of type-R physicalism: stochastic ground physicalism (SGP). First, I argue that type-R physicalism, construed as SGP, offers physicalists an attractive rationalist package that no other version of physicalism can provide. Second, I address two concerns that have been underexplored in the literature. First, the charge that SGP is incoherent because it fails to provide metaphysical explanations. Second, the charge that type-R physicalism is not a genuine form of physicalism because the supervenience of the phenomenal on the physical is a necessary condition for any formulation of physicalism. I argue that both concerns are ill-founded. (shrink)