Empirics reigns, and approaches that ignore it and try to nonetheless accomplish great and difficult science without binding themselves tight to feedback loops almost universally fail.
Many of our most foundational concepts have stemmed from first principles/philosophical/mathematical thinking! Examples here abound: Einstein’s thought experiments about simultaneity and relativity, Szilard’s proposed resolution to Maxwell’s demon, many of Galileo’s concepts (instantaneous velocity, relativity, the equivalence principle), Landauer’s limit, logic (e.g., Aristotle, Frege, Boole), information theory, Schrödinger’s prediction that the hereditary material was an aperiodic crystal, Turing machines, etc. So it seems odd, imo, to portray this track record as near-universal failure of the approach.
But there is a huge selection effect here. You only ever hear about the cool math stuff that becomes useful later on, because that’s so interesting; you don’t hear about stuff that’s left in the dustbin of history.
I agree there are selection effects, although I think this is true of empirical work too: the vast majority of experiments are also left in the dustbin. Which certainly isn’t to say that empirical approaches are doomed by the outside view, or that science is doomed in general, just that using base rates to rule out whole approaches seems misguided to me. Not only because one ought to choose which approach makes sense based on the nature of the problem itself, but also because base rates alone don’t account for the value of the successes. And as far as I can tell, the concepts we’ve gained from this sort of philosophical and mathematical thinking (including but certainly not limited to those above) have accounted for a very large share of the total progress of science to date. Such that even if I restrict myself to the outside view, the expected value here still seems quite motivating to me.
Agreed. Also, I think the word “radical” smuggles in assumptions about the risk, namely that it’s been overestimated. Like, I’d guess that few people would think of stopping AI as “radical” if it was widely agreed that it was about to kill everyone, regardless of how much immediate political change it required. Such that the term ends up connoting something like “an incorrect assessment of how bad the situation is.”