> Its very similar to the argument kids make "Why do I have to learn how to do long division when I have a calculator?" or "Why do I need to show my work on the exam if I got the right answers?"
Exactly. We included mathematicians, computer scientists and engineers in the design of those calculators. They use algorithms backed by rigorous proofs, run upon circuits with rigorous tolerances such that the answer is correct (to a reasonable amount of precision). Kids with their calculators are intellectually lazy -- we should expect that, but continue to teach otherwise. To see this from full-grown adults in academia is an embarrassment. But, god, would I enjoy a ML salary...
Exactly. We included mathematicians, computer scientists and engineers in the design of those calculators. They use algorithms backed by rigorous proofs, run upon circuits with rigorous tolerances such that the answer is correct (to a reasonable amount of precision). Kids with their calculators are intellectually lazy -- we should expect that, but continue to teach otherwise. To see this from full-grown adults in academia is an embarrassment. But, god, would I enjoy a ML salary...