Another reason labs don't provide CoT is that if users see them, the labs will be incentivized to optimize for them, and this will decrease their informativeness. A flag like you propose would have a similar effect.
7In 3, there's also the Brown representability theorem: Cohomology groups are just homotopy groups, with the sphere spectrum replaced with the Eilenberg-MacLane spectrum.
1"the geeks are generally worse, unless they make it an explicit optimization target, but there are a bunch of very competent sociopaths around, in the Venkatesh Rao sense of the word, which seem a lot more competent and empowered than even the sociopaths in other communities"
Are you combining Venkatesh Rao's loser/clueless/sociopath taxonomy with David Chapman's geek/mop/sociopath?
(ETA: I know this is not relevant to the discussion, but I confuse these sometimes.)
All the mathematicians quoted above can successfully write proofs that convince experts that something is true and why something is true; the quotes are about the difficulty of conveying the way the mathematician found that truth. All those mathematicians can convey the that and and the why — except for Mochizuki and his circle.
The matter of Mochizuki's work on the abc conjecture is intriguing because the broader research community has neither accepted his proof nor refuted it. The way to bet now is that his proof is wrong:
Professional mathematicians have not and will not publicly declare that "Mochizuki's proof is X% likely to be correct". Why? I'd guess one reason is that it's their job to provide a definitive verdict that serves as the source of truth for probabilistic forecasts. If the experts gave subjective probabilities, it would confuse judgments of different kinds.
Oh sorry, somehow I forgot what you wrote about Reginald Johnston before writing my comment! I haven't read anything else about Puyi, so my suspicion is just a hunch.
I read that article. I'm suspicious because the story is too perfect, and surely lots of people wanted to discredit the monarchy, and there are no apologists to dispute the account.
Is there any high-quality, intelligent discussion on the internet about California's ballot measure about gerrymandering, Prop 50?
The Rothschilds musical is about the ambitious Mayer Rotschild who raises his children to be his business partners. I recommend the 1970 recording.
Part of Inventing the Renaissance by Ada Palmer tells the story of Cosimo de Medici securing lasting power for his family. It's a fun read.
Of course Barrayar is about an adventuring expectant mother. Cordelia Naismith shows up later in the Vorkosigan series, but in Mirror Dance she seemed larger than life, no longer the adventuring type.