Consciousness often presents itself as a problem for materialists because no matter which physical explanation we consider, there seems to remain something about conscious experience that hasn't been fully explained. This gives rise to an apparent explanatory gap. The explanatory gulf between the physical and the conscious is reflected in the broader population, in which dualistic intuitions abound. Drawing on recent empirical evidence, this essay presents a dual-process cognitive model of consciousness attribution. This dual-process model, we suggest, provides an important part of the explanation for why dualism is so attractive and the explanatory gap so vexing.