Godelian, this is utter nonsense. Rice's Theorem and the Halting Problem apply to abstract computational systems, not physical deterministic systems like computers or the universe. You’re conflating mathematical undecidability with physical causation, which is a category error.godelian wrote: ↑Sun Nov 24, 2024 11:23 amRice theorem certainly applies.BigMike wrote: ↑Sun Nov 24, 2024 8:01 am Rice’s Theorem doesn’t apply to this situation the way you think it does. The theorem pertains to the undecidability of certain properties of programs and algorithms, which is a computational and mathematical constraint, not a physical one. It doesn’t imply that deterministic systems—whether computers or physical entities—behave unpredictably given identical initial conditions.
The behavior of these computers is to figure out what you are predicting about them with the purpose of making your prediction fail.No, because their behavior depends on your behavior.
If you predict that they will run forever, they will halt instead. If you predict that they halt, they will run forever instead.
They predict about you what you are going to predict about them with the purpose of making your prediction fail
The proof for Alan Turing's Halting problem and for Rice Theorem work exactly like that.
The first computer will only behave identically to the second computer if you predict that they will do exactly the same things. If you predict that they will do different things, they will behave differently.
Deterministic systems don’t "figure out" how to defy predictions—they follow fixed rules. If two computers are identical in hardware, software, inputs, and environment, they cannot behave differently unless you introduce non-identical conditions. Your fantasy of computers acting "to make your prediction fail" is pure fiction with no basis in physics, causation, or reality.
Stop throwing irrelevant computational theory into a discussion about determinism unless you can show how it magically applies to physical systems. Otherwise, this is just a waste of everyone’s time.