If it’s difficult to show that the typo actually matters, that’s part of the difficulty of discovering it. My point is you should expect the sum of the difficulty in explaining and the difficulty in discovery to be roughly constant.
I don’t see why it would be roughly constant. I don’t even see why it would tradeoff for your examples: in the maths case, you could say that if you understood everything clearly about the proof, the typo and its consequence, you could convince most mathematicians of it. But for your political examples, finding the correct view seems way harder than to find a typo in a math proof and convincing others is way more difficult than for the maths typo.
Assume you’re at the frontier of being able to do research in that area and have similar abilities to others in that reference class. The total amount of effort most of those people will put in is the same, but it will be split across these two factors differently. The system being unexploitable corresponds to the sum here being constant.
There can be examples where both sides are difficult, which are out of the frontier.
Re politics, there are some issues that are difficult, some issues that are value judgments, and some that are fairly simple in the sense that spending a week seriously researching is enough to be pretty confident of the direction policy should be moved in.
I don’t see why it would be roughly constant. I don’t even see why it would tradeoff for your examples: in the maths case, you could say that if you understood everything clearly about the proof, the typo and its consequence, you could convince most mathematicians of it. But for your political examples, finding the correct view seems way harder than to find a typo in a math proof and convincing others is way more difficult than for the maths typo.
Assume you’re at the frontier of being able to do research in that area and have similar abilities to others in that reference class. The total amount of effort most of those people will put in is the same, but it will be split across these two factors differently. The system being unexploitable corresponds to the sum here being constant.
There can be examples where both sides are difficult, which are out of the frontier.
Re politics, there are some issues that are difficult, some issues that are value judgments, and some that are fairly simple in the sense that spending a week seriously researching is enough to be pretty confident of the direction policy should be moved in.