If that's true, then variable Y (Pete's day 2 A/B choice) doesn't get a value until the moment Pete makes his choice.
According to his perspective. According to God's perspective, which doesn't exist in time, the variables are already assigned.
Do you realize that many things which were once explained with a theological answer are now explained with a scientific answer. However, the quantity of things which were once explained with a scientific answer and are now explained with a theological answer is zero.
I'm not sure what this has to do with the topic, and looking back I really don't know what this has to do with my statement except to reiterate what I just said [which is this:
Because science does not provide us knowledge of the spiritual world, of God; it only provides us knowledge of this world which ultimately means nothing (it also gives us corrupted clues of the image of God, images which have been corrupted by sin). Your reply to that pretty much just states what I already stated: that science gives us many explanations of the things of this world; I'm not sure why the "do you realize" prefaces your reply, since by my statement I already attested to the fact that I realized it].
This isn't about what he does choose. It's about what he is capable of choosing. If God's day 1 knowledge (variable X) of Pete's day 2 A/B choice (variable Y) is that Pete will choose A and Pete attempts to choose B, what will happen? If he can't freely choose B, then you've presented a strawman argument, as I already said Pete's day 2 A/B choice is freely made. To say he can choose B, but he won't choose B, is a non-answer, as the question is what will happen if he does choose B.
It may be, that but is the only answer which can be had about God's fore-ordination and our free choices because it is logically an impossibility.
We'll never understand it because it doesn't make sense. Another, probably greater debate, is the origin of sin. Do you realize that saying what we freely choose what God has fore-ordained makes it seem as though He is the author of sin according to our logic? A statement can be made based on worldly logic that He is the source of all sin in the world.
If Pete makes a day 2 A/B choice of B, at what point in time does God get this knowledge?
At all points in time. Every point in time is the same to God in that there are no points in time.
Your timeline appears to be this:
First: Pete makes his day 2 A/B choice
Second: God fore-ordaines Pete's day 2 A/B choice based on what Pete's day 2 A/B choice is.
My time-line based on God's perspective is that there is none. He has fore-ordained every minute detail of all our lives from before time began. Therefore He has determined what all of us do and therefore knows what will happen, though not in any predictive sort of way, in every moment of our lives.
This seems to be the point you are missing and I suspect you are not considering it because from our worldly perspectives it is not possible, though I could be mistaken as to why you seem to be ignoring it.
Because it is what I choose to do based on my experience of Him. I answered this more fully in another thread which specifically asked a similar question; I don't have the time to go and find it now though.
Do you believe God is capable of doing anything?
Yes
Do you believe God loves everyone?
This is open to much debate and I am leaning toward that He does not. He specifically states in the Bible that He does not when He says that He hated Esau. I may be incorrect, but it seems to me that this would not be the only person He hated. One of the harsh doctrines of my faith is that God has fore-ordained some to ever-lasting death. I don't care to think about this because it goes against what I understand of God and my experience of Him, yet often the truth is harsh. Because of the harshness of this doctrine, it has been softened or disregarded over the years by my faith (and in other sects of my faith it has been totally discarded for the idea of universal reconciliation which is a much easier idea to accept for someone who believes God is all-merciful, loving, and compassionate) just because it is something which, in our minds, is incompatible with God's abounding love, mercy, and compassion.
As humans, we can not understand how God can not love everyone (if we do believe in God); we look at people who are typically considered "evil" in this society and we can understand why we can hate them, but surely God, in all His mercy and compassion can still love them. I feel we think this way because we are rooted in our human natures and it is impossible for us to get outside of them and have a clear understanding of God's love and justice.