Let me begin by nailing my colours to the mast. I count myself a materialist, in the sense that I take consciousness to be a species of brain activity. Having said that, however, it seems to me evident that no description of brain activity of the relevant kind, couched in the currently available languages of physics, physiology, or functional or computational roles, is remotely capable of capturing what is distinctive about consciousness. So glaring, indeed, are the shortcomings of all the reductive programmes currently on offer, that I cannot believe that anyone with a philosophical training, looking dispassionately at these programmes, would take any of them seriously for a moment, were it not for a deep-seated conviction that current physical science has essentially got reality taped, and accordingly, something along the lines of what the reductionists are offering must be correct. To that extent, the very existence of consciousness seems to me to be a standing demonstration of the explanatory limitations of contemporary physical science. On the assumption that some form of materialism is nevertheless true, we have only to introspect in order to recognize that our present understanding of matter is itself radically deficient. Consciousness remains for us, at the dawn of the twenty-first century, what it was for Newton at the dawn of the eighteenth century: an occult power that lies beyond the pool of illumination that physical theory casts on the world we inhabit.