If you intend on becoming a research mathematician who has to tackle previously unencountered problems that nobody has any clue of how to solve, it may be a good way of preparing you for it.
Not only research mathematicians but basically anyone who's supposed to research previously unencountered problems. That's the ability that universities are traditionally supposed to teach.
If that's not what you want to teach, why teach calculus in the first place? If I need an integral I can ask a computer to calculate the integral for me. Why teach someone who wants to be a software engineer calculus?
There a certain idea of egalitarianism according to which everyone should have an university education. That wasn't the point why we have universities. We have universities to teach people to tackle previously unencountered problems.
If you want to be a carpenter you don't go to university but be an apprentice with an existing carpenter. Universities are not structured to be good at teaching trades like carpenting.
Not only research mathematicians but basically anyone who's supposed to research previously unencountered problems.
Isn't that rather "problems that can't be solved using currently existing mathematics"? If it's just a previously unencountered problem, but can be solved using the tools from an existing branch of math, then what you actually need is experience from working with those tools so that you can recognize it as a problem that can be tackled with those tools. As well as having had plenty of instruction in actually breaking down big prob...
Another month has passed and here is a new rationality quotes thread. The usual rules are:
And one new rule: