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RogerLtoday at 8:31 PM0 repliesview on HN

I grew up in the 70s. The hand wringing then was calculators. No one was going to be able to do math anymore! And then wrist watches with calculators came out. Everyone is going to cheat on exams, oh no!

Everything turned out fine. Turns out you don't really need to be able to perform long division by hand. Sure, you should still understand the algorithm at some level, esp. if you work in STEM, but otherwise, not so much.

There were losses. I recall my AP physics professors was one of the old school types (retired from industry to teach). He could find the answer to essentially any problem to about 1-2 digits of precision in his head nearly instantly. Sometimes he'd have to reach for his slide rule for harder things or to get a few more digits. Ain't no one that can do that now (for reasonable values of "no one"). And, it is a loss, in that he could catch errors nearly instantly. Good skill to have. A better skill is to be able to set up a problem for finite element analysis, write kernels for operations, find an analytic solution using Mathematica (we don't need to do integrals by hand anymore for the mot part), unleash R to validate your statistics, and so on. The latter are more valuable than the former, and so we willingly pay the cost. Our ability to crank out integrals isn't what it was, but our ability to crank out better jet engines, efficient cars, computer vision models has exploded. Worth the trade off.

Recently watched an Alan Guth interview, and he made a throwaway comment, paraphrased: "I proved X in this book, well, Mathematica proved...". The point being that the proof was multiple pages per step, and while he could keep track of all the sub/superscripts and perform the Einstein sums on all the tensors correctly, why??? I'd rather he use his brain to think up new solutions to problems, not manipulate GR equations by hand.

I'm ignoring AGI/singularity type events, just opining about the current tooling.

Yah, the transition will be bumpy. But we will learn the skills we need for the new tools, and the old skills just won't matter as much. When they do, yah, it'll be a bit more painful, but so what, we gained so much efficiency we can afford the losses.