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Comment by mediaman

10 hours ago

The book "Origins of Efficiency" by Brian Potter discusses this. Stacked sigmoids are a well-understood idea in innovation.

The idea that exponential growth will continue with stacked sigmoids is also not a given. An example is the nail. Nails used to be about half a percent of US GDP. That's a pretty big number! A series of innovations stacked on each other (each innovation having its own sigmoid) to reduce the cost of nails. Nails dropped in cost by over 90%.

But eventually nail manufacturing reached a floor. And since the mid-20th century, we haven't gotten much better at making nails. The cost of nails actually started increasing slightly. We ran out of new innovation sigmoids, so we got stuck on the last one.

So what you actually have to predict is whether there will continue to be new sigmoids, not whether the existing sigmoid will asymptote (we already know it will).

This is much more difficult to forecast, because new sigmoids (major new innovations) tend to be unpredictable events. Not only are the particulars difficult to forecast (if they were knowable, the innovation would have already happened), but whether there will be a major innovation or not is also hard to forecast, because they are distinct and separate from any existing sigmoid trend.

So we are left with the idea that all current innovations in AI will asymptote in their scaling as they reach the plateau of the sigmoid, but there may be new sigmoids that keep the overall trend up. Or there may not be. We don't know.

That's not very satisfying, so we'll get to keep reading articles like this one.

I don't disagree with you, but your example of nails and their cost reductions made me wonder whether we reached a meaningful limit in say, some fundamental material terms, or whether we just reached a limit in terms of return on investment.

Return on investment can be too low because the investment required is really high, but it can also be too low because the returns are just limited. If prices had dropped 90%, surely nails became even more ubiquitous, but at that stage there's only so much more money to dig out of the cost reduction hole. It feels plausible that there may have been ideas about more digging that could be done, but the reward just wasn't there in the market, especially versus just selling what worked.

I bring it up because the distinction in one specimen may speak to a larger trend: do new sigmoid developments tend to fail to materialize more often because of serious physical limits / lack of good ideas, or because of limitations to ROI? (Or, other things?)

In the arena of AI, the ROI on more intelligence/unit-cost seems pretty high right now. So, it seems like the difficulty of applying any potential innovations would have to be staggering for none to be pursued. Or, there'd have to just not be any good ideas to try.

Overall, I think there's ideas to try. So in my opinion, that shapes out to justify a bullish sentiment on sigmoids continuing to stack until the perceived potential gains from more intelligence/unit-cost somehow fall off.

Like I said, I don't disagree, we really don't know. But I feel it's a good bet that there's more coming.