I would like to point out that we might have one number of viable options available to us, while having another number of actual choices available to us. And that the reason for the difference in the number options and the number of choices is recognition. An option that we do not recognize as an option may still be a viable option, but it's not a recognized choice. And is therefor not an actionable possibility.
The reason I mention this is because it is a good example of how "X" can be both true and not true at the same time, and even within the same context.
Bill wants to drive to Denver. There are three highway routes that Bill could take to get from his home to Denver, but Bill only knows of two of them. So although it is true that there are three course choices available to Bill, it is also true that there are only two course choices available to Bill. Because one pf them isn't.
I think it's important that we understand the reality of this kind of paradoxical truth when we're discussing and debating the theory of God.
I disagree with your assessment of "both true and not true". I don't see how this is related to the rest of your post.
I think your example of driving to Denver though, is a bad one. The amount of routes you can take is immensly bigger then just 2 or 3.
But I get the point. I'll change it to another example which I think is more fitting.
You are in a restaurant. The kitchen has chicken, beef and pork chops in the refrigirator and can prepare all 3.
The menu given to you however, only lists chicken and beef. You don't know about the pork chops and nobody tells you they have them.
So you have only 2 choice: chicken or beef.
I disagree that there are 3 options. You are
given only 2 options. If it is not communicated to you that pork chops are also present, then it never was an option for you.
This doesn't make it "untrue" that the kitchen also has pork chops. You just don't know about it and weren't given the option to choose them.
EDIT: let's mix it up a bit more.
Take me restaurant example.
Let's add another thing to menu: lobster. Yet, there is no lobster in the kitchen.
So you are there, looking at the menu and the options given to you by the menu are chicken, beef and lobster.
Meanwhile, the kitchen has chicken, beef and pork chops.
See where I'm going here?
You now have a false option.
The true options still are beef, chicken and pork chops.
Regardless of your belief. Regardless of the options given to you. Regardless what you think you can choose.
Truth and beliefs are not the same thing.
You can look at the menu and consider it "evidence" the kitchen can make lobster. But it's wrong.