Fundamentally different moral intuitions cannot be resolved except by conversion or war. There is no middle ground between "burn the witch" and "save the woman

Fundamentally different moral intuitions cannot be resolved except by conversion or war. There is no middle ground between "burn the witch" and "save the woman". Taking your own last sentence, participating in an "extensive formal system" assumes a shared morality that prefers "cooperation and conflict solving" to strength and conquest.