In the computer analogy, if the 'run time' always arrives at the same answer, because that is the answer from the calculation. Then was there ever a choice?
I guess this and the other comments are really saying just because we have the illusion of free will from our perspective, just assume a choice is being made and roll with it. Don't get tied in knots about the question of free-will, we know we don't have it, but just assume we do in order to make our perspective work out.
IMO, no.
> In the computer analogy, if the 'run time' always arrives at the same answer, because that is the answer from the calculation. Then was there ever a choice?
To me, there was a choice, but that choice was made by an entity which operates deterministically.
> I guess this and the other comments are really saying just because we have the illusion of free will from our perspective,
Kinda. I would only disgaree with the "illusion" thing. It's not an illusion: from our perspective we DO have free will, we ARE in control. Like everything else, free will is relative.
Realize that when we say "we", each of "us" is a facet of that deterministic universe. The universe is not some big external VM that controls us like zombies. It is us. We are the hardware, firmware, and software of the universe, operating and evolving with agency, modifying one another and the world around us. We're not sandboxed processes. You and I, we are two manifestations of conscious thought occurring in the same grand unfolding of physical phenomena. We see a clear boundary between ourselves and the universe, but that's a human point of view, not a physical truth. When the universe decides something, we decide something, and vice versa.
Maybe that's too far into woo woo land for your taste, but it's how I personally reconcile free will and determinism and it's resolved a lot of the existential dread I used to feel around this. ymmv
Obviously all the formula will be equivalent to each other. They are, by construction, all restatements of each other.