The difference between deterministic and indeterministic systems is whether the state transitions can be fully described by a function that does not know the time. The indeterministic function yields different values each time, so it is not compressible to a time independent one.
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Replying to @Plinz
This assumes determinism, right? Indeterministic functions do not actually exist. They are just deterministic functions of incompressible input, i.e. that unpredictably changes over time.
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Replying to @mere_mortise
The input of the transition function is the system state. The transition function compresses the world to the starting state and the function itself. An indeterministic function has access to an incompressible sequence beyond the starting state.
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Replying to @Plinz @mere_mortise
What about two deterministic systems interacting? From within each one, the outcome of their collaboration would seem indeterministic, right?
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Yes, unless the description becomes causally closed because all interacting systems are deterministic and fully described. But typically you have descriptions like the interaction between a mostly known software and a mostly unknown user.
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