Abstract
This paper examines Parfit's argument that personal identity is not what matters, focusing on his case against reductionist theories of personal identity. I argue that Parfit's reasons for rejecting reductionist views do not take the physical criterion for personal identity seriously enough. I outline a thoroughly naturalistic version of the reductionist theory that, if true, would escape Parfit's criticism. Such a view would be a plausible candidate for a relation that would matter as much as, if not more than, the non identity relation advocated by Parfit.