Yes, I do think you are abusing language here, and the result is that your position becomes even more obscure than standard Cartesian dualism. "Physical" obviously means more than occupying space or having a spatial location. Marley's ghost could be coming through Scrooge's locked door, and so have a spatial location, and still not be a physical entity. "Physical" has to mean that its causal powers and liabilities are reducible to, or ultimately explicable in terms of, the laws, entities, and processes acknowledged by basic physics. In terms of our current understanding, the causal capacities of physical things come down at rock bottom to the properties and interactions of quarks, leptons, and the gauge bosons that mediate fundamental forces. Your "psychons, angel ons, and theon" are not physical in that sense--or, if they are, then I REALLY have no idea what you are talking about.
Further, a basic component of the concept of the physical seems to be that it is impersonal at the ontologically fundamental level. Fundamental things do not think, choose, decide, reason, etc., though fantastically complex composites of them (e.g. you and me) do. As I have always understood dualism and theism--and as they are defended by some of their leading advocates, such as Richard Swinburne--these views put personal explanation at rock bottom.
For these reasons, then, I regard your suggestion that souls might be physical to be an abuse of these terms as they are normally understood.
Let's get to what you identify as the real issue: Do the principles of reasoning govern the brain or the laws of physics?
Here is my basic question: Why can't thinking logically (in accordance with the laws of logic) be something I accomplish with my physical brain? Why cannot my thought, say,
~(P v Q), therefore
~P & ~Q
be physically realized as an event in my brain? If realization is taken as an identity relation, as I think it should be, then the above-described mental even IS a physical event
Problem solved. The radical disjunction you propose simply does not apply. Things in the physical world can be done in accordance with the laws of logic because those laws are apprehended by mental events that are physically realized in the operations of the brain.
This mental/physical act of apprehension, in virtue of its physical properties, can therefore initiate or enter into causal chains. That is how the laws of logic impact the physical world--qua apprehended by physical brains.
This mental/physical act of apprehension, in virtue of its physical properties, can therefore initiate or enter into causal chains. That is how the laws of logic impact the physical world--qua apprehended by physical brains.
Where is the incoherence? In fact, there is none. There may be a recalcitrant feeling of incoherence on the part of some people, but I suggest that this feeling has no logical basis, but is due to the continued subliminal influence of pernicious and obscurantist Cartesian categories. For four hundred years a religiously-based ideology has told us that the mental and the physical are mutually exclusive categories. We have to finally exorcise this notion, or the mind/body relation will always appear unnecessarily obscure.
VR: OK, what defines the "physical?" You say
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