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Technological progress is bottlenecked by the fact that there are many mathematical problems for which currently there are no known practical methods of solution.

Because even with supercomputers the equations that describe many physical systems cannot be solved, research and development is still based on a lot of empirical methods, i.e. things must be physically built and measured, because mathematical computations cannot predict their properties with sufficient accuracy.

So if some miraculous algorithms would be discovered for the approximate solution of the systems of equations that are insoluble for now, that could accelerate technological progress a lot in certain domains, especially for the discovery of new materials or chemical substances with desirable properties.

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Agree, just adding the observation that

problem specificity, concreteness, engineering relevance, or even "empiricity" seems (vaguely)

proportional to how much "good friction" can be generated.

There's also bad friction related to "meta-ness", "bad names", "aesthetics", etc, I presume. Like bikeshedding and its relatives. Is yakshaving?

Eutripsis? Vs just tripsis

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AI can also introduce its own "bad friction", or it (ppl?) can bypass good friction without necessarily directly be removed by ai, eg bikeshedding, slowly pivoting towards directions and problems that ai is better in tackling, because that can produce these accelerated results vs fields and problems that ai may not be able tackle as well and thus the output there is poor, demotivating people from following these fields and missing important insights from them. Of course this could have the opposite effect, depending on which direction the whole hype can go, or not happen at all if ai will be able to tackle everything equally well.
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I rewatched the Tao video, he indeed overlooked at one point that collaborating with AI could produce good friction

25m12s

It's easy to get into "the flow" with roughly equally-skilled humans, but the weird cadence of 2 humans+1 AI seems to be potentially eutriptic.

Probably you're off somewhere and never return. AI might also provide that "Coasean floor", that HN doesn't seem to ;)

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