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Lumifer comments on Looking for opinions of people like Nick Bostrom or Anders Sandberg on current cryo techniques - Less Wrong
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If you want non-domain-specific, that's called statistics, specifically statistical modeling.
I specifically want it to be more specific.
Do you mean more confidence in the prediction? Narrower error bands?
More domain-specific, invention specific, plotting events with ever-narrower error bands. If you could isolate the specific month that news media gets in a buzz about uploading three years in advance, that would be a significant increase in prediction usefulness.
That doesn't sound realistic to me. It sounds impossible.
It may be impossible even with significant effort, but it's certainly impossible without having first tried. I want to know, if nothing else, the limits of reasonable prediction. That itself would be useful information. Even if we can never get past 50% accuracy for predictions, knowing that all such predictions can only be 50% likely is actionable in the presence of any such prediction.
These are very much domain-specific plus are the function of available technology.
You seem to want psychohistory -- unfortunately it's entirely fiction.
I want exactly as I've stated: Research into a method.
So, um... go for it?
I'm afraid that the only methods I can think up require vast collection of many different types of data, far beyond what I can currently manage myself.