There are many such possible concepts, but these are not the concepts standardly expressed by the expression "pc", nor the concepts reached by standard definitions of pc. Of course we can DECIDE that "pc" expresses one of these concepts but I argue that we should not (last section)
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Returning to my question above: In the paper you only mention Eric's def and what you call D and E. Are there others you would endorse?
(Not trying to object, just to learn 😉 - as much depends on this in general!)