The mind can be entirely physical while still following no fixed physical laws of its own

Donald Davidson argued in 1970 that every mental event is also a physical event, with no separate soul-stuff involved. But he insisted there are no strict psychophysical laws linking mental descriptions to physical ones, because mental states like belief and desire only make sense within a web of other beliefs, desires, and norms of rationality. This 'anomalous monism' keeps the mind entirely physical while explaining why psychology can never become as law-governed as physics.

— Donald Davidson, Mental Events — In Experience and Theory, 1970