rocket123456 said:
Taking to it's extreme, determinism would seem to require irrationality. Suppose that I live in a deterministic
universe, all events being determined, experiments, brain states, cosmology and so forth. Suppose further that I possesses psychic abilities(perfectly possible in a relativistic-quantum universe) and I precognize an accident involving myself in 5 seconds.
In such a deterministic universe, I would prohibited from intervention, regardless of my true beliefs, and rational justifications for those beliefs. For the simple fact that the precognized event must come about.
I tried to come up with a thought experiment where I can see the problem with deterministic theories that you're talking about. But I wanted to remove the psychic powers, which frankly sound like nonsense to me, so I decided to replace them with computation of future events from measured results. I don't see any problems.
Consider the following thought experiment: Alice and Bob live in a universe that is perfectly described by a deterministic theory. Alice is in her spaceship deep in intergalactic space. Bob (on the outside) measures the state of Alice's ship and everything inside of it. He then uses the theory to compute that Alice's ship is going to explode. He sends a message to inform Alice, and she then pushes the emergency shutdown button, so that the ship doesn't explode. This scenario doesn't contradict determinism, because Bob's calculation only told him what was going to happen if Alice never receives the message.
So let's try to change something in this scenario in order to perhaps reach some kind of absurdity.
Let's say that Bob, immediately after sending the message, calculates how it will change the state of Alice's ship, and then calculates what will happen to the ship. This time he finds that Alice receives the message, pushes the shutdown button, and doesn't explode. Or maybe he finds that Alice's receiver malfunctions, so Alice never gets the message and then explodes. There's nothing absurd about these scenarios. It would be absurd if he finds that Alice receives the message and chooses to let the ship explode, but why would we assume that there
are such solutions to the equations of motion?
Now let's remove Bob from the picture altogether, and say that Alice measures the state of her ship herself, and uses her own ship's computers to perform the calculation. This can only lead to an absurdity if the theory says that a physical system
can determine its own state. I'm not sure how this would work. The ship's computer is much less complicated than the ship itself, and yet it has to store all the information about the ship. That sounds impossible in principle. But just to make things as messed up as possible, let's assume that we're dealing with such a theory, and that the computer has stored all the information that it needs to begin the calculation. There's only going to be a problem if the ship's computer is able to finish the calculation of what's going to happen 5 minutes from now in less than 5 minutes. This may also be impossible in principle. But let's just say that it's not, and that the computer spits out a description of what's going to happen before it happens. Again, there's no reason to think that the equations of motion have solutions that describe irrational behavior. It's still possible that all solutions are variations of these two: 1. Alice sees the result and pushes the button. No explosion. 2. Alice doesn't see the result and doesn't push the button. Kaboom.
I don't think the stuff in the last paragraph (where Alice is doing the calculation herself) is even worth talking about, because to do so, we have to speculate that physical systems can not only find out what their states are, but also store all the information and use it to compute what's going to happen faster than it's actually happening.