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isn't the point of the chaos that as time progresses the predictability of outcomes severely deteriorates?

or maybe a better frame:

any simulation the seed would still result in the same answer, since the computation is deterministic, but the system being simulated is not likely to behave the same at that time under the same initial conditions.

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> isn't the point of the chaos that as time progresses the predictability of outcomes severely deteriorates?

Yes. And that's what the GP said.

Predictability deteriorates because small errors in the initial conditions grow in proportion to the total value up to the point they can more than explain the entire value.

> but the system being simulated is not likely to behave the same at that time under the same initial conditions.

No, that part is wrong. Chaos is not about non-determinism.

Yes, predictability deteriorates because the sensitivity to initial conditions increases over time. We can't measure or create initial conditions to infinite precision so at simulation will be accurate only to our measurement precision.

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