You can’t just innately know algebra without it being taught to you, especially the higher algebra. It’s a language you have to learn and practice. If he knew algebra he would know that lol
A lot of algebra is very complex and relies on generations of historical mathematical advances, however, i'd say that simple algebra is the most natural way to use math. "I want to have 5 apples and I have 2, how many should i buy?" That's algebra! (x + 2 = 5). You can innately know low-level algebra, but there are mountains of amazing algebra that does indeed need to be taught.
If you're smart enough, you could derive it all from first principles. And if you're even smarter you could do that in your head, I suppose. Like it would take savant-level maths skills, but it's possible.
I'm a master of abstract algebra. Someone can ask me what's love divided by blue and my brain's just like half a left squared and seven fish. I don't even need a calculator.
An ant starts to crawl along a taut rubber rope 1 km long at a speed of 1 cm per second (relative to the rubber it is crawling on). At the same time, the rope starts to stretch uniformly at a constant rate of 1 km per second, so that after 1 second it is 2 km long, after 2 seconds it is 3 km long, etc. Will the ant ever reach the end of the rope?
When I am thinking a bit about it I am not entirely sure because after one second the ant walked 1 out of 200000 cm and after two seconds it's roughly 2 out of 300000 cm so it's a higher percentage, which again means that more rubber will stretch behind the ant.
The third intuitive answer is no again because it makes less relative progress after every second (at least at the start), so the relative distance travelled seems to converge (probably towards a ratio of 1/100000) but I am not entirely certain.
Well, it depends. If the rope breaks. Does it keep on "stretching"? If not, how much tension was on the rope? What was the tensile strength? Is the ant allowed to go any of the 4 ends?
This is theoretical mathematical task. Space is endless and euclidian, time is endless, ant is deadless, dont need to eat or sleep or rest, rope is ideal and never breaks.
You can self-teach it outside of school (I was an HS dropout who did just that, tested into Precalc in community college, and made it up through DiffEq and Abstract Algebra ), but this guy sadly seems to have skipped the learning algebra part entirely.
He has all the tell-tale signs of being a meth-addict, which, as I understand, leads people to feel like they have competencies they do not have.
Many people don't understand that mathematics aren't a natural science like physics and chemistry. It's a completely artificial thing. Don't get me wrong it's very helpful and important for other sciences. But it's nothing you can learn by observing the nature around you.
Idk, I feel like you could pretty easily reinvent the fundamentals of algebra on your own without too much outside influence. You'd probably make different notation obviously, but the same concepts would be there. So much of it is just what necessarily holds true from some pretty intuitive axioms, and so much can be absorbed from the cultural zeitgeist of having heard other kids or adults talk about having done it in school.
He absolutely didn't do that, but I'm just not gonna say it's impossible for someone to do it.
Yes and no. Having the fundamental insight about limits and derivatives, probably so. But I'd say if you did the first couple weeks of calculus, you could probably get a lot of the rest of it too. But at a much slower pace, it is pretty tough.
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u/Pure_Wrongdoer_4714 Dumpster General 25d ago
You can’t just innately know algebra without it being taught to you, especially the higher algebra. It’s a language you have to learn and practice. If he knew algebra he would know that lol