Socrates On Philosophy and Death

[Neo-Scholastic]

Even granting dualism, which is what his argument contends, it doesn't establish that personal identity is a property of "souls" and which survives bodily decay, and empirical evidence would suggest that it doesn't.

The argument applies to both substance dualism and aspect dualism. In aspect dualism the "quiddity" of a thing would be equally dependent on both material and formal cause. One could not survive without the other and remain the same substance. Human life is based entirely on the hylomorphic union of a formal cause and a material cause. That is why the resurrection of the dead is such a key Christian doctrine. Until glorification, personal identity remains incomplete.