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by JoshCole
1202 days ago
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Not arguing nondeterministic universes. Within a universe agents see computationally irreducible phenomenon. It is just game theory decision problems embedded in cellular automata. The agent which says they could have decided another way is correct - their modeling of the problem did in fact have that property. The agents which thinks this insane and improper modeling are suffering from a hindsight fallacy. |
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Try considering a Turing Machine which is running several Turing Machines within it. Call it A. Within it are B and C. B gets an input state that is the entire Turing Machine. Meanwhile C gets the output of B. There are multiple B and multiple BC. So we get something like this when we write it out:
A = B + B + B + BC + BC + BC
You might be tempted to say that A = A, therefore A is deterministic. This would even be logically true. However, it is actually far more dangerous than it appears. Why? Well, you aren't A. You are within A. Lets say you are B within A. Does it matter that you know the dynamics function? It is deterministic, but does it follow from it being deterministic that it is deterministic? No! Even though B is within the deterministic system A, B cannot claim that A is deterministic, because B cannot claim that C is deterministic, because C is indeterminable by B through self-reference.
Now the standard mistake is to let B run then let C run then to pretend B could determine C, because now obviously we can tell that A was determined by B because C was determined by B. Which sounds really compelling, but ask yourself this to see why it isn't as great as you think it is: is the universe still subject to a deterministic dynamics function right now? If so, can you tell me what C is, not in the toy problem, but in the real world?
Like, I realize this is an impossible problem: I'm asking you for the current configuration over the course of the next second for all matter in our universe even the parts you can't model because you haven't observed it. But that is kind of my point. The universe hasn't stopped running yet. You can't determine C from the information context of B.