Counterpart and Appreciation Theodicies

A theodicy for some given fact about evil is an explanation for why God would have an all-things-considered sufficient reason to allow that evil. The counterpart theodicy says that good cannot exist without evil, and so God must allow evil in order to allow good. The counterpart theodicy relies on a metaphysical claim about existence. The appreciation theodicy says that we would be unable to know/recognize/appreciate the good without evil, and so God is forced to allow evil in order to allow for such appreciation. The appreciation theodicy relies on an epistemological claim about recognition or appreciation. Despite the widespread acceptance of these theodicies in certain circles, neither meets the conditions of a successful theodicy.