Are there any publications in the field of Philosophy of Religion that have attempted to provide a formal ontological definition of the Christian God as portrayed by the doctrine of the Trinity?
Take for example what the Athanasian Creed postulates about the Trinity:
"So likewise the Father is Lord; the Son Lord; and the Holy Ghost Lord. And yet not three Lords; but one Lord".
How would a sentence like this be parsed with a more rigorous ontological formalism? Should we understand "Lord" as a predicate over entities rather than an entity itself? And what about the verb is used in phrases of the form "X is Lord"? Should we interpret it as an identity between entities, as a universal applying to a particular, as inclusion into a composite entity, etc.?
Does anyone know a publication that has attempted to define the Christian Trinity with a rigorous ontological approach?