 This shows that 1–3 imply the denials of 4–6, namely, 8, 10, and 12. Any Trinity doctrine which implies all of 1–6 is incoherent. To put the matter differently: it is self-evident that things which are numerically identical to the same thing must also be numerically identical to one another. Thus, if each Person just is God, that collapses the Persons into one and the same thing. But then a trinitarian must also say that the Persons are numerically distinct from one another.