> But to latch onto the calculator argument: if you outsource adding numbers to a calculator, you're still you.

Except calculators have been a problem for decades, it's why they're not allowed in school when you're still learning. Without doing the math yourself and internalizing how it works, you won't develop the number sense to tell if the result makes sense (broken calculator, typo, wrong equation, etc).

I still remember my physics teacher using one of the student's test answers as an example of how he should have known it was wrong and gone back over it (I think it was a pendulum on an elevator, his result had negative gravity (so gravity going upwards)).