At about ~18:00 Egnor discusses the “free won’t” idea. Of course this is countered by other neurologists. For a critique: There Is No Free Won’t: Antecedent Brain Activity Predicts Decisions to Inhibit. Libet was also a “property dualist” which means the mind depends on the brain, so is not really compatible with the immortal soul.
I think intentionality is the strongest indicator of the immaterial mind. Not surprisingly it’s also the premise Aquinas used in the Summa to demonstrate the subsistent human soul. He based his argument that the soul is incorruptible and survives the death of the body from this subsistence.
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