 We now have a sentence that says there are five properties that fulfill the roles played by the moral properties we began with. But that’s not good enough to single out moral properties by their playing these roles, since there might be other properties that also play these roles. To exclude this possibility, we need to add a claim saying that only one property plays each role, i.e., a clause that states that any property that makes all the statements containing w true is identical to w, any property that makes all the sentences containing b true is identical to b, and so on. We can abbreviate this clause as Uniqueness. It is now possible to define any moral term using the complicated sentence we have just constructed. For example: