  The no-supervenience theorem limits the capacity of physicalist theories to
provide a comprehensive account of human consciousness. The proof of the
theorem is difficult to formalize because it relies on both alethic and
epistemic notions of possibility. This article outlines a formalizable proof
using predicate modal logic in which the epistemic inferences are expressed in
terms of an existing mathematical formalism, the inference device (Wolpert,
2008). The resulting proof shows definitely that any physicalist theory which
describes a self-aware, intelligent system must be internally inconsistent.
