Earlier quoted context omitted.
Yeah, it was saying that what matters is the process of training people to be good scientists, so they can produce other, more useful, results. That's literally what training is, everywhere. This argument boils down to "don't use tools because you'll forget how to do things the hard way", which nobody would buy for any other tool, but with LLMs we seem to have forgotten that line of reasoning entirely.
People say this in a very large number of other contexts. Mathematica has been able to do many integrals for decades and yet we still make students learn all the tricks to integrate by hand. This pattern is very common.
Yes. But to be fair to your specific point, symbolic solving of integrals used to be a huge skill in the engineering education. Nowadays, it is not a focus anymore, because numerical solutions are either sufficiently accurate or, more importantly, the only feasible approach anyway.