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Wait until you get to differential equations.
Our understanding of it is inherently flawed because of the math language we use as it's underpinning.
I always seen it for what it is/should be as opposed to what is general consensus. Tbh, geometry is what made me question our entire concept of math in the first place. Our understanding of the 1 is flimsy at best.
I won't even get started. Shout out to the romans.
Requires indoctrination and the ability to ignore your sensory organs
Yes, thanks for detailing my point. To conceptualize math in a way that is unique to your own observation, and not beaten in to your brain by eons of university, it would be to the betterment of the field in general.
I on the other hand, have Dyscalculia, and struggle with basic arithmetic.
He was part of the O-level generation. Exams back then were far FAR harder than what they are now. I remember seeing my classmates who took Math for sixth form during their A-levels come out of the exam room crying their eyes out. None of them understood the question and had a meltdown. They should see the exams my dad took. Holy S**T they were HARD.
Maths is a language. And not everyone can speak it. its not a measure of intelligence.
Engineers are relatively good at math because they have incentive to learn the language in their job and theory. And they end up to applied physics level. Few continue in math beyond applied levels as it becomes very boring and abstract matter. Also hard to find a job as such so they drop out in more applied areas
Oh it's the best part. That is where the fun is to be had. We are scraping the surface.
Knowing you have 1 million people is easy, but guessing that you will have 30 million show up but reality is only 2 million exist is the problem that math can't seem to fix.
Getting old sucks.
Then I got a teacher for Calc III that assigned a quadruple integral as homework. We asked her when it would ever be used, and her answer was "in the homework".
Theoretical time travel is the only "real" time we could think anyone'd do a quad integral.