An appropriate description for the Buddha's philosophy of persons within the frame of materialist philosophy of mind, prima facie, would understandably be a kind of reductionism, given that the Buddha reduced the self to nothing but a collection of impersonal and impermanent psychophysical elements. In this article, I argue that this view is only appropriate for understanding the self within conventional reality, as is the term used by Buddhists, and does not tackle the other half, namely, ultimate reality. I claim that eliminative materialism provides a more accurate description of the Buddha's prescriptive practice, and although falling prey to the same problems that reductionism faces, creates a good basis for an alternative position of the Buddha as a Hard Eliminativist.