Determined Choosings

It has been claimed by some laymen Arminian epologists (I have not seen this claim by any reputable Arminian philosopher or theologian) that if X is determined by God, then X cannot be a choice. In other words, if it were determined that I eat Cheerios at time t, then although I took the box of Cheerios at t rather than the Lucky Charms, even deliberating about which one to take, reaching a decision for reasons, responsive to reasons to the contrary, and figuring that instantiating a Cheerios-filled world was better than a Lucky-Charms-filled world, I nevertheless didn't choose the Cheerios at t.

Now, that the above wasn't a choice is highly counterintuitive to many people, so it seems. But besides its highly counterintuitive flavor, it has another defect; that of contradicting God's word.

To explain. I take it that it will be granted that some people choose when they will die (e.g., suicides, euthanized &c.). For example, it is fairly obvious that there has been at least one person S, that decided to die at time t. S chose to die at t. For example, perhaps S was terminally ill and brought Jack Kevorkian in to administer a lethal dose of potassium chloride at t, which would kill S at t1. Therefore, S chose to die at t1. Call the above the Suicide Pact, SP. SP simply states that:

[SP] Some people choose to die at t

For those who hold to biblical inspiration, [SP] demonstrates that one can choose to do what is determined he will do. For example, take Job 14:5:

Since man's days are determined,
The number of his months is with You;
You have appointed his limits, so that he cannot pass.

It seems fairly obvious that some people have chosen to die in three months, after they say their goodbyes and do that "last thing". So, it seems fairly obvious that some people have chosen to number their months to X. But, X was also determined. Stated another way: God determined S to die at t, and S choose to die at t. Or, stated formally:

Let

H = a Human being.

D = the months of the human's days are Determined at t

S = a sane being that chooses to commit Suicide at t

(x) (Hx ⊃ Dx)
(∃x) (Sx ∙ Hx) / ∴ (∃x) (Sx ∙ Dx)

One can deny either Job 14:5, or that some humans choose to die at t (where t = a month). Neither seems to be an attractive option for the orthodox Christian. Therefore, it looks as if one can choose to do what is determined he will do. It should also be easy to see that with some minor changes we can add that some people chose to die according to a free choice, and that some people who die according to a free choice are morally responsible for their actions; that, therefore, freedom and moral responsibility are compatible with determinism if one grants inerrancy. All orthodox Christians grant inerrancy. Therefore, all orthodox Christrians ought to be compatibilists.