If the Father and the Son are distinct selves rather than modes, then the claim that each is a mode of God cannot be used to block the inference from 1 and 2 to 3.
These theorists reject another response to the above argument, which would be to reject it is invalid because 1 and 2 mean that each is a mode of God (see section 1), and while these claims are true, they don’t imply 3, since the Father and the Son are two different modes. Against this, the theories of this section assume that the three Persons of the Trinity are three selves (Rea 2009, 406. 419; van Inwagen 1995, 229–31).