A Mathematical Perspective on Open Theism

X = set of N possible outcomes of a single future decision made by a free being
X = x(1), x(2), x(3), ... , x(i-1), x(i), x(i+1), ... , x(N-1), x(N)
P = set of probabilities that a possible outcome will be the actual outcome
P = p(1), p(2), p(3), ... , p(i-1), p(i), p(i+1), ... , p(N-1), p(N)
where
a. p(i) = Probability that x(i) will be the actual outcome
b. p(1)*x(1) + p(2)*x(2) + ... + p(N)*x(N) = 1

A. AXIOM (open theism): p(i) < 1 for all i
B. AXIOM (classical theism): p(i) = 1 for one and only one i

Mathematically speaking, B. is simply not possible, while A. is a very easy statement to accept as true. This lines up nicely with what Process Theism advocates. In my opinion, Open Theism easily accomodates a process theistic view of reality to explain how relates to possibilties of the future without requiring actualities.

BUT this view fails when it tries to handle the existence of prophecy. Adopting any view of real prophecy requires B. to be true for prophetic events. Process Theology cannot handle this irregularity in its system. Open Theists musts switch to another system to handle prophecy while accomodating the process theistic view for all other situations.