Some theistic solutions in metaphysics

Personal identity

Suggestion: Personal identity is either a primitive fact or else a matter of the soul.  In the “weird cases” God chooses which way things are going to go—both options are open.

Properties

Suggestion: Properties (and numbers, propositions and worlds) are thoughts or concepts in the mind of God.

Possibility

Suggestion 1: A proposition p is possible provided that p is either true or God can bring it about that p.

Suggestion 2: A proposition p is possible provided either it is true, or else there exists something that can initiate a chain of causes leading to something which can initiate a chain of causes … leading to p being the case.  This is only plausible if there is a God, since otherwise it will not generate enough possibilities.

Laws of nature

Suggestion: L is a law of nature if and only if L is a general claim that God wills to generally hold.

Proper function

Suggestion: It is the function of A to do F if and only if someone makes A in part in order that A might do F.  This extends to biological things if God exists.

Mind

Suggestion: One of the main difficulties with dualism is the question of how a non-physical mind or non-physical states arose through physical processes of evolution.  If God exists, he can allow the physical processes to produce the physical configurations for minded beings, while intervening to create the non-physical aspects.