It has occurred to me--this is likely well-known--that one should not both accept sceptical theism and Plantinga's self-defeat argument against naturalism+evolution.
The conditional probability that our cognitive faculties are reliable given sceptical theism is inscrutable. It remains inscrutable no matter what non-question-begging evidence is added to the mix. If Plantinga is right that the inscrutability of
P1 = P(our cognitive faculties are reliable | naturalism and evolution)
would be an undercutting defeater for all our beliefs if we accepted naturalism and evolution, then by the same token the inscrutability of
P2 = P(our cognitive faculties are reliable | sceptical theism)
would be an undercutting defeater for all our beliefs if we accepted sceptical theism.
The argument that sceptical theism is self-defeating seems stronger than that naturalism+evolution is self-defeating. For the claim that P1 is low or inscrutable is highly controversial. But the claim that P2 is inscrutable is obvious.
Likewise, if radical voluntarism says that God chooses what is right and wrong and good and bad independently of any prior normative facts, then I think
P3 = P(our cognitive faculties are reliable | radical voluntarism)
is inscrutable. For P(falsehood is good | radical voluntarism) is inscrutable (and no evidence will help to make us conclude that falsehood is bad if radical voluntarism is true, because if falsehood is good, God might well try to make us think falsehood is bad, because being wrong about the value of falsehood would be good for us), and P(our cognitive faculties are reliable | God exists and falsehood is good) is low or inscrutable.
I am inclined to endorse these as arguments against sceptical theism and radical voluntarism.
