Those who raise the arbitrariness objection against divine command ethics are likely also to object to any form of theological ethics that makes morality
depend on something about God that could have been different. Thus, for example, if what character traits are virtues depends on God’s purposes for humans
and those divine purposes could have been different, then there will be an arbitrariness objection to theological virtue ethics. The only form of theological
ethics acceptable to friends of what Cudworth thinks of as eternal and immutable morality would be one that makes morality depend on something about God that could not have been different.

If there is no plausible form of theological ethics that satisfies this condition, then the friends of eternal and immutable morality will, even if they are theists,
insist that morality is independent of God.