We’ve been thinking about explanations in our research (see, e.g., https://arxiv.org/abs/2205.07938) and your example of explaining the wrong answer well is lovely.
I dislike these kinds of questions, because they’re usually posed at a point well before the wave equations are presented. At this point, you are largely working with verbal explanations and, as you point out, verbal explanations are much harder to pin down.
Mathematically, if A implies B, and you are working to the best of your ability, you can’t derive ~B (you may not be able to derive B, of course!) Verbally, this is not so clear; a lot of philosophy is people arguing about whether A implies B or ~B.
If the underlying logic is (as it is in physics) mathematical, then a verbal account of mathematical fact A can be loose enough that you can derive ~B, because the verbal account is also consistent with A’, which implies ~B.
In these explanations, there’s another factor: a lot of the talk is relying on intuitions for “ordinary solids”. One explanation I encountered when I googled referred to the “stiffness” of a hotter gas. While you might be able to cash this out in more formal terms, the temptation is to think about stiffness in one’s normal experience. (It might have been possible to get the right answer by imagining heating up a bicycle tire that’s already inflated; intuitively, the casing will be stiffer, “ring” at a higher frequency, etc.)
If you continue on in physics to relativity, quantum mechanics, etc, you end up dropping this kind of talk very quickly. This is why I don’t like these questions; it’s a bit useless to get good at them, because the more advanced you get the more you learn to rely on mathematical intuitions to get the right answer (and then perhaps informal folk talk afterwards, if you communicate to a popular audience.)
James and I were postdocs at SFI together! I made it for him as a bit of a joke after he dropped a line re the blogpost.
There‘s a huge amount of vibe coining; you can look at the Collatz project on the GitHub for really egregious examples. It’s also independently interesting because I think it gives us clues to their ontologies.
“Bridge”, “seam”, “-shaped” are common. I had an early-career collaborator use the phrase “smoke test” and I was like if you haven’t seen an IC blow smoke you are not allowed to say that also now I want to see the code.
PS another thing is that it really loves mildly fringe things — e.g., for Scott’s paper it ended up invoking Stuart Kauffman’s adjacent possible. Which is lovely (we all love Stu, even if he was kind of wrong about everything…)