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by MarkusQ 107 days ago
Clarke's second law:

When a distinguished but elderly scientist states that something is possible, he is almost certainly right. When he states that something is impossible, he is very probably wrong.

Also see Minsky's "Perceptrons"

The problem with almost all such proofs is that people (even those who know better) read them as "this can't be done" when in fact they tell you "it can't be done unless you break one of the following assumptions."

I agree that it's unfair to say they failed, but it's likewise unfair to say that their success was in telling us our limits rather than exploring what we need to do to get around the roadblocks.

1 comments

A positive lyapunov exponent means that your flow has locally diverging properties.

No matter what you do you are bound by that. As soon as you uncertainties become of the order of the systems scale you cannot predict.

You might push from 1 lyapunov time to 3 or use ensemble methods to get probabilities, but the fundamental impossibility remains.

Age of the scientist does not matter.