Well actually it’s the other way around. The reason imaginary numbers were invented was to solve a problem we’d been crying over for centuries.
Then, as in most cases, solving one problem opens the door to millions of other problems like why in the fuck does the universe use these imaginary numbers we made up to solve cube roots?
Why is i a core part of the unit circle with like e^i*pi^ ? “Oh that’s because i is just perpendicular to the real number line” ?! Say that sentence again, how the fuck did we go from throwing sharp sticks to utterly deranged sentences like that? More importantly why do utterly deranged sentences like that accurately describe our universe and what is the next ludicrous math concept we’re going to discover is integral to the function of the universe?
I grew up in a rural Utah town. Here are things I attempted to correct my teachers on while in elementary school with the result of them telling me if I continued to disagree with them I’d be sent to the principals office:
I’m sure there were more seeing as I frequently had to “pull a card” in nearly every class and most times had no idea why what I said was wrong. There were definitely some on global warming but I don’t remember the specifics.
Anyway, it is almost certain that I would argue some things that were wrong, after all, I was like < 12yo and surrounded by people who would constantly tell me the encyclopedias I read were wrong (I didn’t like chapter books and encyclopedias had pictures) but even then, there still definitely were things I was and still am right about.
And it probably would have been better for my mental health growing up if I hadn’t thought “wow if all these adults believe this thing then it must be true and I must just be an idiot” No past me, you were right, they were wrong. Essential oils are bullshit and definitely don’t cure cancer, animals do feel pain and deserve to be treated with respect, and yes the cult you were raised in makes no sense whatsoever. Basically the entirety of your hometown, and most of your family members are just delusional. You’re not wrong and they don’t just not believe you because you’re a kid, they just don’t believe in evidence, and there’s no evidence one can use to convince people who don’t believe in evidence.
Edit: to clarify, this was a legitimate public elementary school not some weird religious institution. Its just the typical education found in small Mormon towns in Utah.