But prior to Plato, the Pythagorean Philolaus wrote that sensation/experience comes from the interaction between the soul (greek: psyche) and the body. Soul, here, is not the experiencing thing but the immaterial forms. (Summary: an example of an immaterial form is the concept of a triangle — a real and meaningful form but separate from any material instance). This Pythagorean view of the soul is compelling and has similarities with the idea of computational logic being fundamentally separable from the media of computation. The same logic can run on silicon or some water pump computer.
So, from this, if mind is what we'd call the experience, then it isn't just the body. It is the material body interacting with the soul (the "computational" forms).
