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Vladimir_Nesov comments on Bloggingheads: Yudkowsky and Aaronson talk about AI and Many-worlds - Less Wrong
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Of course, "breakthroughs" is a cumulative impression: now you don't know how to solve the problem or even how to state it, and 10 years later you do.
The idea of a "breakthrough" denotes a sudden leap forwards. There have been some of those.
One might cite back propagation, for example - but big breakthroughs seem rare, and most progress seems attributable to other factors - much as Robin Hanson claims happens in general: "in large systems most innovation value comes from many small innovations".