The ethical realist objector [to DCT] claims that it is possible for God to command rape in some possible world, or in an impossible world close to the actual world, making it obligatory for all moral agents, whereas rape is still morally bad in that same world, thus, making DCT arbitrary and is defeated.
The nonstandard semantics objection to the arbitrariness of DCT suggests that there is an impossible world, however close to the actual world, in which God commands rape or the torture of innocent children. Approaching the objection from an explanandum-driven consideration, would a contingent command be an adequate objection?
Consider the following contingencies of a command:
(CONTCOM) ∀ϕ[(◊~Cgϕ) ∙ (◊Cgϕ)]
(CONTCOMʹ) ∀ϕ[(◊~Cg~ϕ) ∙ (◊Cg~ϕ)]
The objector to divine command theory assumes that ϕ can be any command and could thus look like:
(CONTCOM″) ∀ϕ[(◊~Cgϕ ∙ ◊~Cg~ϕ) ∙ (◊Cgϕ ∙ ◊Cg~ϕ)]
(CONTCOM‴) ∀ρ[(◊~Cgρ ∙ ◊~Cg~ρ) ∙ (◊Cgρ ∙ ◊Cg~ρ)]