/sci/ - Science & Math

audrey hepburn looking ass nigga

>>15157374
If he's so smart then why did he lose his duel?

>>15157374
>Newton invented calculus by the time he was 2022.
even I could've figured it out faster than that
what a brainlet

>>15157440
They say that in topology a coffee mug and Galois' stomach are the same thing.

>>15157374
Cute twink

>>15157374
I like to think that I could have been a genius like them if I applied myself. The truth is regardless of potential, having the will power and discipline is as much of a quality as intelligence is.

>>15157457
Too soon, you bastard

>the concepts had yet to be invented. the average mathfag here could likely come close to inventing calculus if it had not been invented before they were born. the bar is higher now
>modern teaching is obsessed with over-neologized method and theory and origin instead of "this is what this actually does, here's why we want to do it, and here's how to do it". education takes a long time because academics are TERRIFIED of explaining things in simple, real terms and students have to watch youtube videos from bald britons and hapless pajeets to get a hold of wtf even is trying to be taught to them, nevermind the content of it
>people who were well off enough to sit around thinking about math generally had a lot of time to do it, with less distraction and less anxiety

>How can these farmers raised on candle light and wheat diets be this smart?
If you decided to live in a farmhouse with only candle and oil light, right now, you would be astounded at the things you would accomplish once you got over the transition.
>are they just built different?
Well, the general nutritional quality of food has been tanking, their water wasn't flouridated, and they hadn't yet had their good male breeding stock annihilated in multiple massive successive wars, so kinda
>are we studying wrong?
yes

>>15157374
They lived in a society that extrapolated the true value of people.
One could argue that this happened only in the higher classes, but it is also true that now it doesn't even happen in the higher classes neither. Today you need to be a complete autistic nerd that doesn't understand social cues to truly succeed academically.

>>15157374
>It takes us normal people years of watching 3 blue 1 brown videos to grasp the basics of linear algebra and what it means to take a derivative.
I hope you're joking. I got like 100% in my calc I class. I went to office hours once, at least I tried, and the teacher literally cussed me out and told me to fuck off because .... I don't know, I suppose she was serious about teaching and I just made it all seem so trivial. In calc II I reinvented differential equations. the teacher gave a differential equation in a word problem and before the class announced he knew no one could ever do it at calc II level. I understood his setup of a differential equation and solved it with only knowing how to evaluate derivatives and integrals.

>>15157374
>are they just built different?
They were European. Some people are still built of the same stock today.

>>15157374
Galois didn't invent anything. He just had an idea related to solving polynomials. Algebraic geometry existed for centuries prior to his birth.

>>15158999
>Algebraic geometry existed for centuries prior to his birth
Algebraic Geometry didn't exist until G-Dthendieck invented it out of thin air.
Anything prior is trivial garbage.

people still do shit like this, its just nowadays its with the natural world, machinery and/or computers. All the smart little autists have moved onto greener pastures than this type of math

>>15159014
>Algebraic Geometry didn't exist until G-Dthendieck
Maybe the name "Algebraic Geometry" didn't exist. However, the fundamental activity, studying the solution set of polynomials, did.

>>15157374
>Newton invented calculus by the time he was 2022.
I could have done the same in 379 years (well, not really).

>>15159025
Not real AG

>>15159030
It is real AG.

>>15159037
Algebraic Geometry = AG = Alexander Grothendieck [math]{\blacksquare}[/math]

>>15159042
Incorrect.

>>15157526
Great post. I remember helping my grampa do a rebuild on his cutlass Supreme as a teenager, and coming up with a crude idea if what today is known as VTEC. We eulogies those who came early enough to pick the low hanging fruit.

>>15157374
>How can these farmers raised on candle light and wheat diets be this smart? How? are they just built different? are we studying wrong?
Yes, I keep telling you the reason, but you people keep asking the same question over and over
https://archive.4plebs.org/pol/thread/291959216/#291984908

I also give examples of this education
https://en.wikipedia.org/wiki/James_Clerk_Maxwell#Education,_1839%E2%80%931847

The same was the case for the people you mentioned
https://mathshistory.st-andrews.ac.uk/Biographies/Galois/
>His mother served as Galois' sole teacher until he was 12 years old. She taught him Greek, Latin and religion

https://mathshistory.st-andrews.ac.uk/Biographies/Newton/
https://en.wikipedia.org/wiki/Grammar_school
>An uncle, William Ayscough, decided that Isaac should prepare for entering university and, having persuaded his mother that this was the right thing to do, Isaac was allowed to return to the Free Grammar School in Grantham in 1660 to complete his school education.

If you want to know more, translate these articles or learn Portuguese
https://olavodecarvalho.org/apeirokalia-2/
https://olavodecarvalho.org/desprezo-afetado/
https://apologetica.net.br/2022/07/12/literatura-linguagem-imaginacao-olavo/

>The Greeks called it apeirokalia. It simply means "lack of experience of the most beautiful things". Under this term, it was understood that the individual who was deprived, during the decisive stages of his formation, of certain inner experiences that awakened in him a longing for the beautiful, the good, and the true, would never be able to understand the conversations of the wise, no matter how well trained in the sciences, in letters, and in rhetoric.

This is very hard to do on an universal scale in a standardized way like government bureaucrats want, this only works in small communities, in homeschool or if at largue slace, very differing in standards, but it is a very simple four step process

>>15159050
Modern example: https://en.m.wikipedia.org/wiki/Seyyed_Hossein_Nasr
Read his autobiography, he was born in an illustrious iranian household, where intellectuals from europe and iran frequented, and since childhood he was educated to learn all classical iranian literature, he ended up memorizing it of course, even european literature as he knew some epic poems word per word. From this base, he went to the political and ideological discussions he witnessed and participated in his house, as thanks to his literary education he could keep up with. Then he developed his philosophical interest and finished his education with a scientific and logical training in MIT.

>>15159050
more articles to read
https://olavodecarvalho.org/a-educacao-grega-e-nos/
https://olavodecarvalho.org/benfeitor-ignorado/

>>15157374
he looked cute

>>15157374
>grappling with abstract concepts and inventing branches of maths
> watching 3 blue 1 brown videos to grasp the basics
You're playing someone else's game. It takes longer to trace a path than to cobble one.

>>15159151
It's like learning a language by figuring out someone else's rules vs making up rules and signals to compliment what you're doing.

Easier to write a textbook than to learn from one

>>15159156
What I cannot create, I do not understand.
You cannot kill what you did not create.

>>15159161
If one learns a path, does one traverse it? What of a recipe?

>>15157374
The average farmer or even professor wasn't that smart. These dudes were one in millions, appearing only every few hundred years

>>15159050
Go back to /pol/

>>15159188
be quiet you fool, bots have no place here, human or otherwise

>>15158992
So should we expect a lot of earth shattering discoveries from you In the future?

>>15157495
>I could have been a genius like them if I applied myself.
Sure buddy. That one's a little played out here.

>>15157374
Galois was just passionate about everything he did.

>>15157374
>It takes us normal people years of watching 3 blue 1 brown videos to grasp the basics of linear algebra and what it means to take a derivative.
No it does not, it takes the first week of an AP class or intro calc. for lazy people.

If it is taking you longer it's because you are below average.

>>15159014
Based and G-Dthendieck pilled.

>>15159151
>>15159156
Extremely retarded. Even your analogies are false.

>>15159582
>>15158992
anyone can solve the textbook problems but as soon as you give what you are learning any thought you come to realize that you really don't understand any of it.

>>15159037
Not rigorous.

>>15159809
I don't gain insights from watching YouTube videos which I didn't from reading textbooks.

You guys are just lazy and never properly thought about what you were learning. So you ended up choosing literally a slower media that forced you to visualise things that were actually already spelled out to you, but you chose speedread over during your exam crunch (or maybe you just very low IQ?).

Anyway, much like we have high quality pedogagy to teach us modern calculus so we can get to fontiers of research faster. Newton had high quality ancient calculus books so he didn't have to start from scratch to develop his theorem. Even midwits publish papers at 22-25 y/o already this is true in the modern era. Everything else is cope.

>>15159042
Based

>>15157374
they had better control over their attention and had more awareness. their brains weren't fucked up.

they were part of the tradition, closer to things being invented and knew where they came from and what they were trying to do concretely, the exact how and why of things. they were formulating what we regurgitate as poorly explained dogma.

>>15157457
>They say that in topology a coffee mug and Galois' stomach are the same thing.
Fucking kek!

>>15157374
>It takes us normal people years of watching 3 blue 1 brown videos to grasp the basics of linear algebra and what it means to take a derivative
must be rough to not have God's blessing

>>15159908
> high quality pedagogy to teach us modern calculus
> high quality ancient calculus books

The first statement is laughable. Calculus was something people used to solve problems rather informally until Fourier discovered the solutions to the heat equations, which involve a special series of trigonometric functions, but they couldn't be dealt with simply like the series people were used to. What grew out of that was Analysis, which formalized calculus because the old way of doing things didn't work.

This is all to say, calculus is something best guided by intuition, and those intuitions can than be formalized in an introduction to Analysis. Instead, this intuition is never built. What made me finally understand calculus was looking back at how people around the time of Newton and Euler though of calculus, and what motivated it in the first place.

For instance the number "e" came out of logarithm tables where it kept appearing. Taylor series are pretty easily derived as well. However the world calculus was born out of is gone, so learning it in the modern day is completely uninspired. It has reversed the process of discovery--->formalization. Only the worst kind of mental midget slave would find any appeal in memorizing a bunch of proofs and formulas while understanding none of them.

Pic related is my quick demonstration of an integral.