The Discovery That Transformed Pi

[@kimi9572]

Imagine having a career so illustrious that discovering a groundbreaking way to accurrately find pi is just one of your side achievements

[@AkshayKumar-kz6zh]

Every other guys call themselves real gangsta. If they would have saw Newton, Turing, Euclid they would have shat their pants

[@AuliaAF]

And somehow, that grand side achievement is much less attributable to you than a random falling apple :D :D

[@arturkarabekov1920]

@@AuliaAF well, falling of an apple gave him the idea of gravity, which in comparison with calculus is way bigger achievement

[@gforcebreakin]

@@AkshayKumar-kz6zh "You Ain't Gangsta Like Newton" Would be a dope track. Rofl

[@yuri-cruiter9676]

@@AkshayKumar-kz6zh so much that no one would think you stealing from your student

[@veritasium]

Also shout out to Indian mathematician and astronomer Madhava of Sangamagrama, who in the 14th century had a different infinite series for pi that converged as fast as Newton's

[@ankeshnand]

Woah.

[@thethirdjegs]

Maybe for veritasium's next video?

[@franciscofernandez8183]

You should definitely pin this comment.

[@ankeshnand]

@@thethirdjegs Yeah, I would love to know about this series.

[@sumitphysics3407]

And what about Ramanujan Series

[@Peter_Siri]

"He was quarantining at home due to an outbreak of bubonic plague." ...what a great time to do math

[@Yoctopory]

While we just watch Netflix..

[@EmmanuelVenturaSilva]

And 23 years old. My age lol.

[@ImBoredToo]

@@EmmanuelVenturaSilva lol do not compare yourself to Newton. Almost nobody can compare to that much God-tier knowledge and accomplishment

[@bestpseudonym1693]

Thats what happens when you have literally nothing better to do

[@EmmanuelVenturaSilva]

@@ImBoredToo Hahaha I know bro. Just saying... Lol

[@jamesoversight9866]

Me during quarantine: Plays video games all day Newton during quarantine: Creates groundbreaking mathematical solutions

[@blucat4]

Alas, alak.

[@stevrgrs]

That’s because he didn’t have video games or other distractions to simulate his brain :)

[@davidnuckols8151]

Binge Law and Order.

[@TheRomichou]

The animator is the hidden hero here!

[@veritasium]

Truth - shout out to Ivàn!

[@robb6560]

@@veritasium thank you Ivàn!!!!

[@enzoqueijao]

Ivàn rules

[@albertbancroft4507]

Big up Ivàn!

[@regenpalkar4385]

666 likes

[@davidjohn4364]

Newton giving a lecture - "Hi guys, today we're talking about circles. The first thing you wanna do is invent calculus."

[@ant0_alwin]

lmao good one

[@tcjgaming9813]

lol🤣

[@NerdWithLaptop]

That is the mathematical equivalent of “welcome to standing up school”

[@Justin-tp1mx]

*Fluctions

[@Justin-tp1mx]

@Repent!. Btw you're not getting into heaven by pretending like that and making effortless youtube comments

[@samugolxiii3963]

I am a mathematician. I have masters in applied statistics, data analysis and all that jazz. I remember when I took the exam from this topic and I learned it. The way it was explained in the book made little sense to me, I always wondered how did anyone come up with it? It was so unintuitive and weird.... I have not seen that theory for years now and yet everything makes sense immediately. I think this is how it needs to be taught at school... well done.

[@jasonlandry8685]

I failed calculus because it was explained so poorly in class. This video would have helped me ace the class.

[@timq6224]

@@jasonlandry8685 -- I didn't learn why calc worked until a vid like this came along -- 20 years later.

[@RudyBleeker]

@@timq6224 Oh boy, the nightmares of highschool calculus. I hope my kids will be taught it differently, because I still believe math is important, even though I was thoroughly turned off of it in school.

[@victorzoni4588]

Yeah this video had that 3blue1brown energy

[@latebloomer2]

I wish something like this exist 23 years ago, so I don't have to repeat calculus class 3 times, just to get C-🤣

[@betterideas]

I really like this video because I didn’t understand 99% of the math, yet I was invested. It felt like something important was unraveling before me, and I was excited by that. And that’s the power of good storytelling.

[@TheBluePhoenix008]

I did understand all the math and it was even better

[@uncreative369]

That's the Power of Math

[@KaluaBihari]

maths was nothing just basic calculus

[@TheBluePhoenix008]

@@KaluaBihari people have a hard time with calculus, for some reason

[@Glitzy786]

Now imagine actually understanding the math behind it. It immediately becomes revolutionary in terms of new and relevant ways of thinking

[@sids3194]

I swear I got goosebumps when he rotated that Pascal's triangle. That was some "protagonist realizes the truth" moment right there. This is how maths should be taught!

[@shilpaprajapati4801]

If math is taught like like, it feels nothings less than amazing magic tricks!

[@SiMeGamer]

@@shilpaprajapati4801 this is not how math should be taught. This is purely inspirational presentation. To actually learn you need to do some work yourself to actually understand it. That's why being in a lecture is not enough not matter how good it is. So if math was taught like this, you'd've never learned any math in the first place. I think these are great as an introduction because they are relatively short and have a great story. But this is not a replacement for proper pedagogy.

[@shilpaprajapati4801]

@@SiMeGamer so true bro, math should be taught like this. This way of presentation makes even the most complicated topics of math not only easier, but also interesting and fun to watch...

[@SiMeGamer]

@@shilpaprajapati4801 You just said "so true" and continued agreeing with the point you made previously despite me saying the opposite. It's not how math should be taught. You don't properly learn anything from this.

[@shilpaprajapati4801]

@@SiMeGamer not true* 😅 I think this is the proper way of teaching

[@benjaminmathew8674]

1666: Newton, during quarantine, discovering pi 2020: Me, during quarantine, eating pie

[@liamfeatherstone924]

Jim 1999 shagging pie

[@anawesomepet]

2354: People, during quarantine looking at pie

[@shivamnarula1601]

Newton copied ancient Indian scriptures

[@cinemarat1834]

@@shivamnarula1601 ?

[@joeyjuly215]

@@shivamnarula1601 andddd where did you learned that?

[@4tell]

in all honesty, i never realized how much of a genius newton really was. i feel a bit ashamed now, dude practically made hundreds of years worth of discoveries in a few decades and i never cared much for him at all. somehow this is insanely impressive. imagine being this guy.

[@ThPaScCo]

I once read Newton was the smartest human who ever lived. Never saw anyone dispute that.

[@anirbanroy5667]

This is the most unpopular opinion but also aside from all the phenomenol things learned from Newton, Einstein, Euler, Ramanujan, etc, I also learned that there is a different kind of fun in making students stressed out beyond how much peer pressure can

[@writershard5065]

The point isn't about how genius Newton is, but rather that he decided to go against the grain and try things from a different angle, which brought him closer to solving this issue than anyone else did. Innovation and change is just as important as respecting traditions and rules. You need to understand why the latter exists to break it and invent new ways to move forward into the future.

[@carso1500]

@Alex ' einstein is recognized because he basically revolutionized physics, created what we know as moder physics and because he was right in basically everything, scientists have been trying to break his theories for 100 years and soo far everyone has failed

[@carso1500]

@Alex ' knowledge is build on knowledge just because einstein didnt come up with those concepts himself from scratch doesnt mean that he wasnt any less smart or less of a genious thats like saying that newton wasnt smart because he didnt invented mathematics he had thousands of years worth of theory and practice to work from he just moved some numbers around and thats it anyone could have added a -1 its nothing special (which is stupid) einstein started a revolution in many ways that we are still seeing today, and yes his ideas have held up soo far unless you are going to tell me that general or special relativity are wrong, quantum mechanics was always a huge problem for him because he didnt believed in the uncertainty principle since it made him unconfortable and tried really hard to prove it wrong, he failed of course, that doesnt mean that all his ideas are wrong in fact one huge problem modern physics has is that both general relativity and quantum physics are correct, and both theories are basically inconpatible with one another since one is deterministic while the other one is probabilistic (not really incompatible but scientist are having a hard time unifying both theories)

[@johnrains8409]

When Newton was at a professor at Cambridge, some of his students were in the club discussing what they thought the path of a body orbiting another body in space would be (e.g. the earth around the sun). One student returned to the university, and upon passing Bewton's office, he stopped in to discuss it. On asking Newton what he imagined the orbit would look like, Newton replied. It would be an ellipse. The student then asked what made him think it was an ellipse, Newton said. I do not think it, I know it. The student then asked how he knew it with such certainty, Newton said, "Why I've calculated it." He then searched through piles of paper on his desk until he came up with a scrap of paper that had the differential equation for an orbiting celestial body. He considered it so trivial that he didn't think it was worth publishing.

[@aitorakira]

I think it was Edmond Halley who asked Newton, not some random student

[@m__h2574]

Quarantine : *exists Newton : guess I'll just invent calculus...

[@sandstealers476]

Yep. Quarantine a long time ago.

[@carsonchiem145]

Leibnitz* but close enough

[@pwnmeisterage]

@@carsonchiem145 Leibniz was the better thinker. But Newton was the better explainer.

[@88fibonaccisequence]

Newton's Achievements: -- Reflecting telescopes -- Spectral analysis -- Calculus -- Laws of Motion -- Universal Law of Gravitation Einstein's Achievements: -- Brownian Motion -- Photoelectric Effect -- Special Relativity -- Mass-Energy Equivalence -- General Relativity My Achievements: --

[@danielvidal7163]

Archimedes beat both Newton and Leibnitz with the Archimedes Palimpsest

[@ruttolomeo1987]

Newton’s quarantine: boring. Let’s upgrade human understanding of mathematics. My quarantine: homemade pizza.

[@kennarajora6532]

at least they both have pi in common.

[@IdaeChop]

My quarantine: Hey I wonder if anti elements has a more interesting name that just "Anti [insert element]"

[@austingilbrideofficial]

dont forget the banana bread

[@ramonfrancois9306]

But Newton is dead and you aren't so who's the real winner?

[@danzoom]

@@IdaeChop positron?

[@bobisonline4033]

Veritasium: **explaining how to get Pi** me just wondering who's gonna eat the pizzas

[@kennarajora6532]

it's pineapple pizza, so probably no one.

[@unusuario5173]

Some videos shouldn't be watched while being high.

[@pusingfismat7099]

@@kennarajora6532, I'd have the pineapple pizza, please.

[@zanxaa]

@@pusingfismat7099 me too

[@aurelia8028]

I thought the same as well

[@joshc5613]

Everyone is talking about how genius Newton is, but really, we need to shout out Archimedes for solving pi to an almost unnecessary level of precision 1800 years before Newton even came along

[@postblitz]

Archimedes is almost universally considered the smartest guy alive in the ancient world.

[@richeekmishra937]

Aryabhatta gave an even more accurate answer

[@thyristo]

Old Archie doesn't mind.

[@926prasenjit]

​@@richeekmishra937 please specify u "all was done only by indians" guy

[@smallw2003]

@@926prasenjit Actually Indians really were very groundbreaking in a lot of ancient mathematical branches. However in this case the Indians do not win because Aryabhata lived hundreds of years after Archimedes

[@Bhatakti_Hawas]

Newton schooled himself on Brilliant during the bubonic plague quarantine

[@DyslexicMitochondria]

I mean brilliant is pretty good. It helps me come up with new topics for my videos

[@danielretardo7075]

@@DyslexicMitochondria Cool channel

[@stereoheart.sachii]

Newton is a Chad bruh

[@randomdude9135]

When I start working, I'll sign up for subscription. Currently I'm living off of parent's money for internet etc

[@SamSam-ir7ux]

@@stereoheart.sachii ironically he died a virgin.

[@2BachShakur]

Newton in quarantine: solving Pi. Me in quarantine: eating pie.

[@DarrylConliffe]

WINNER! 😉

[@robertbrzheintzbrz147]

Made my day!

[@nitricacidd7548]

Yes that is me

[@allahm-ast3mnlywlatstbdlny164]

mashallah

[@nahomwg8638]

Haha 😂

[@addr1algørithm]

Now I understand how my dog feels when I'm talking to it.

[@andrewturnbull1866]

That is literally laugh out loud funny.

[@godsinbox]

that would suggest you are barking at your dog, and your dog thinks you are somehow saying long descriptive words that it doesn't understand the meaning for. you have even overreached with your joke.

[@cheesegraters3975]

@@godsinbox stfu

[@jesperdonner1609]

@@cheesegraters3975 no you

[@billbauer9795]

You just need to take second year calculus (where integration will be covered) and probability theory (where factorial notation will be covered).

[@pravinshingadia7337]

I studied maths as Uni but never had access to material like this. These videos explain complex ideas in a few minutes that took me weeks of reading in text books to understand.

[@Tommy_007]

If you studied math at university, it should be clear to you that many mathematical details were left out in the video. These details take time to learn - and teach.

[@santrollencio3601]

Ludolph Van Ceulen: “I spent 25 years to calculate pi with extreme precision” Isaac Newton: *S P E E D R U N*

[@m4ster578]

*dream music starts playing*

[@alihesham8167]

*3 . 1 4 1 5 9 2 6 5 3 5 8 9 7 9 3 2 3 8 4 6 2 6 4 3 3 8 3 2 7 9 5 0 2 9 7 1 6 9 3 9 9 3 7 5 1 0 5 8 2 0 9 7 4*

[@RichConnerGMN]

@JACOB H uhhh is there any way to cheat in math? that doesn't sound like a thing. but if there is, and someone did it, he'd be that guy

[@thenoobthatdied6489]

to be fair, Newton was around 24 years old when he discovered how to approximate pi. So essentially Newton only beat Ludolph by 1 year. It took Newton 24 years to get the approximation to more than the current world record at that time. :^)

[@greg77389]

@@thenoobthatdied6489 But Newton also did so much more than that during that time. He literally established an entire branch of mathematics--Calculus. Not to mention Newtonian physics, his theory of gravity, his work on light and optics, and few people know this but he actually made huge contributions to theology as well.

[@theknightikins9397]

I love how mathematicians are almost always so happy to talk about math.

[@blmppes9876]

math is his wife

[@lemondigit7309]

i love to talk about math too even though im not a mathematician

[@prajwalsarangi2601]

@@lemondigit7309 same with me

[@innosanto]

Everybody does. Math is beautiful

[@tsadkiel2008]

@@lemondigit7309 I love talking about math, but main stream media told me it is racist. So I count my change silently.

[@menohomo7716]

Hey Derek, i don't know who that guy is, but invite him as much as possible

[@username3543]

He is a math-professor.

[@firstlast9731]

ok

[@tanmaybhosale1844]

Alex Kontorovich, Professor of Mathematics at Rutgers University,

[@Hellmuth4]

it's like u got a thing for him or something

[@georgesanderson918]

@@Hellmuth4 Hes really happy

[@AllYourMemeAreBelongToUs]

1:38 “Pi is between 3 and 4.” 13:00 “The equation for a unit circle is x^2 + y^2 = 1.”

[@nihalbhamrah4726]

Ohhh its soo shocking

[@mrunfunny]

Imagine working on something for 25 years only to find out that someone did it while playing with an equation during a pandemic.

[@maxschmidt8779]

"Playing" Perfect. The Best comment here. Not to downplay Newton's genius... but intrinsic learning is a relevant phenomenon. We may be suffering from a from of slight, collective brain damage due to plastics, pesticides and what not, but the genius has not been extinct. I believe that we are just too distracted and demotivated to enjoy searching any more, hence the discrepancy in the willingly educated and the comfortably dumb who almost form the ending points of a spectrum that represents the human intellect. I refuse to believe we have devolved. I just think the dominant majority has long giving up on hope and the joy of discovery itself.

[@mrunfunny]

@@maxschmidt8779 True, makes me say one of the most cliche yet true statement, "Technology has made us more of a stupid than a genius". Majority of people are being motivated only to learn the most basic and inane skills and never grow beyond that. A PhD is rarely likely to earn significantly more than an undergraduate. People are busy learning most insignificant stuff and never allowing their curiosity to take over. Even the smartest people are focusing on wrong things. As Jeff Hammerbacher said, "The best minds of my generation are thinking about how to make people click ads". Although these things might seem to be very important in current state of world but on a larger scale, these never matter. Just think about the covid period and how it made us aware about the importance of scientists and doctors. However there are still people who care about such things and in true sense, they are the only one carrying the whole humanity on their shoulders.

[@lelouch1722]

Newton is not just "someone" ...

[@DamirAsanov]

@@lelouch1722 Was he "something"?

[@maazali9604]

@John Citizen he never said nobody he just most people arent

[@somethingtojenga]

"He was quarantining at home due to an outbreak of Bubonic Plague." I felt this

[@sombrero4316]

This is his version of learning a new skill during lockdown...dude sat down and calculated pi...

[@Execitive]

@@sombrero4316 haha tru af, he didnt have netflix tho

[@prithwirajjadhav1611]

Pandemics can be good!

[@pluto8404]

Good thing he had skillshare

[@rschroev]

IIRC that's also when he came up with his law of universal gravitation and laws of motion, laying the foundation for all of classical mechanics. Maybe that's what you get when you don't have as many distractions as we do these days, I guess, maybe?

[@TheRealGuywithoutaMustache]

"You can say he speedran pi" So Newton invented speedrunning as well

[@ojaskumar521]

wow only 31 likes

[@lismontniden5330]

U are everywhere

[@cybergintoki]

Bro lol you have discord??

[@ducanhnguyen4508]

lol

[@nerdineverythingnerdinnoth4984]

Yay! I‘m here before this blows up!

[@LetsGetIntoItMedia]

This video is an absolute masterpiece of storytelling. The beauty of discovery comes through so well. I watch this every few months, and I'm inspired every single time

[@DavidGuyton]

We can all agree that cutting the crust off of pizza is the least ridiculous way to calculate pi.

[@bgggeometry6082]

Yo wsp David

[@ahamay2012]

Why don´t use a Pie?

[@nobodyknows3180]

Nevertheless, it makes a great visual. They deserve a 21-gon salute!

[@PastaTurtle]

The best inside joke in school I've ever had is similar to this, we joke that our (amazing) teacher only eats the crusts of pizzas

[@YTEdy]

@@PastaTurtle Speaking of college jokes, a friend of mine used to hold up those little square drakes fruit pies and he would say. "Pie are square" (It works better with the pie in hand)

[@CrushOfSiel]

"He speed ran pi." Queue Home- 'We're Finally Landing'

[@preachist8274]

TRUE LMAO

[@ashmit8274]

Man, i blew water through my nose while drinking it. Lmao 🤣🤣🤣

[@christianschweda2530]

On point! Thanks for the hearty laugh.

[@a-aron3847]

Wow, that is a pretty obscure reference omg

[@Accusedbold]

Man, this channel keeps getting better and better. Have my updoot Derrick.

[@ariearie5054]

Imagine spending 25 years of your life on something, and then a 23 year old kid comes along and beats you in a week while being in lockdown

[@foresthillwolf7998]

Work smarter not harder

[@cheesecakelasagna]

I’m literally a 23 year old quarantining and I have done nothing of substance for the world. fml

[@orlandomoreno6168]

That's just technology

[@pbj4184]

@@cheesecakelasagna To be fair, most 23 year olds haven't. You'll notice there aren't a lot of Newtons in the world :)

[@Puleczech]

The power of a lockdown

[@IRMacGuyver]

It blows my mind that they rarely teach calculus like this. I was really struggling with calculus until I one day noticed how it fit into pi, areas of circles, and volumes of spheres. Then it all made sense and I was instantly better than my teacher.

[@besmart]

when you aren't looking and mistake Prof. Alex's voice for Sal Khan

[@NegetiveRizz]

Yo

[@DyslexicMitochondria]

Haha I've listened to sal Khan SO many times that his voice is etched in my brain. His narration is flawless. Whenever I need an idea for a new video, I go to Khan academy. Sal inspired me for my yt channel where i make videos on science

[@aasid2446]

Third to comment on your comment

[@prathamjain9185]

Oh you're here 🔥👍

[@RandomGravel]

hello human

[@8MasterX]

Derek, I'm a math instructor at a university. Your teaching methods are seriously starting to make me question my own. I want to teach like you in the classroom. :]

[@OverlordHD36]

Do it, I never really went on to what pi even is as a student. Not only did he make me understand it litteraly effortlessly, but he made me love it too at the same time

[@AcediaIX]

I swear, I'm also a Math teacher at a HighSchool and he only way most of them gets interested is me adding Jokes on numbers, using Food or luxuries instead of Variable(Screw X! I use symbols associated with the formula)

[@JKBEAST]

A teacher genuinely wanting to impart knowledge. Well respect. Its rare to see teachers who are genuine

[@ZOCCOK]

God the students will be even more confused 🔥😂

[@niceguy9790]

why is pi > C/D?

[@iamdannyel3285]

Van Ceulen; "yeah, so I calculated pi to the 50th integer" Newton; *"Hold my apple"*

[@Europa-Last-Battle_on_Bitchute]

If Newton's apple had landed in a puddle, he would have seen the apple only fell through the air because it was denser then the air, but then floated on top of the water beacause it was less dense than water. Gravity only points direction. It took him a book three times thicker than the Bible (,,Philosophiae naturalis principia mathematica,,)and he still couldn't finish his equation on how to prove gravity. And it contains so many ,,if,,'s... Newton's Marvellous Year is 1666 (666 devil's signature...)

[@justarandomredditor7954]

i actually audibly laughed at this

[@NASAFanboy]

@@Europa-Last-Battle_on_Bitchute QAnon has taken over your mind, get help

[@joerionis5902]

@@NASAFanboy The pressure from that persons skull is so low he's probably floating into space by now

[@kevin-7091]

@@Europa-Last-Battle_on_Bitchute U ok?

[@vintage_osu]

coming back to this video when i'm now on university studying calculus and actually understanding all of the integrating part feels soo good

[@Moodboard39]

Than guess KZbin should replace all teachers ...what a waste of money

[@vintage_osu]

@@Moodboard39 not as in thanks to this video, but the other sense smh

[@xyzzy64]

"luckily for us, he had just invented calculus" as you just casually do, ya know.

[@CATinBOOTS81]

Gottfried Leibniz vehemently disagree.

[@andymtb5714]

Lol literally the second I looked at the comments he said that and I saw your comment

[@overbored617]

*unluckily for us dumb shits he invented calculus that will make you suffer your whole university life because it spawns geometry, trigonometry, physics, thermodynamics, hydrodynamics and all that pits of hell

[@andeemengaming5000]

@@overbored617 lol chill math is fun just put time and brain into it

[@mudskie4394]

@@andeemengaming5000 not if the amount of work from the other subjects are added

[@tedngeene5106]

The smile on the professor tells you just how passionate he is about math.

[@johnchessant3012]

What I love about this is it starts with the binomial theorem, which is seemingly totally unrelated to pi. But that's the beauty of math: it's all interconnected and idly playing with patterns can get you meaningful results.

[@minecrafting_il]

math basically HAS to have many inner patterns, as math is, in a sense, the study of patterns.

[@hike8932]

@@minecrafting_il and order :)

[@pf6455]

Math is beautiful

[@eggegg6448]

@@hike8932 math folder is blue

[@almondsai7214]

@@eggegg6448 Math folder is red, you can't change my mind.

[@cradleofrelaxation6473]

This video is GOATED!! Well done Veritasium and thanks to your Professor friend. He looks very happy explaining math .

[@endruv_2287]

I mostly knew Newton as the physics guy but I had no idea he also INVENTED CALCULUS AND BROKE THE BINOMIAL THEOREM TO SOLVE PI THIS MAN WAS INSANE AND DESERVES ALL THE FAME

[@critical_analysis]

Newton was the greatest genius who ever lived. Even the great Gauss pays homage to Newton.

[@MrTaleth]

Regarding inventing calculus it should be noted though that Gottfried Wilhelm Leibniz invited it simultaiously and independently from Newton and Gottfried Wilhelm Leibniz notation was actually superior and the one used later on

[@critical_analysis]

@@MrTaleth Newton invented it nearly two decades earlier and kept it for himself. Leibniz is a great mathematician but even he would be embarrassed to be compared with the genius of Newton. Newton is the only human in history who could be arguably called as the greatest mathematician and physicist simultaneously. Newton was something else, no wonder even the incomparable Gauss was in awe of Newton. To me, Newton's genius mind is the pinnacle of human thought.

[@MrTaleth]

@@critical_analysis I fully agree that Leibnez can't be compared to Newton. Regarding calcus specifically though as I have understood it most historians view the development of it as made by both of them independently of each other. If you have sources of historians pointing to it being the sole invention of Newton please share :)!

[@pineapplesandwich3906]

oh! he also discovered how your eyes perceiving color works. man was so cool that solving color was just a minor achievement in his career

[@PunnamarajVinayakTejas]

"Kids these days depend too much on the binomial expansion to calculate pi. Back in our day we used to bisect polygons. Sure, it was hard work, but it built character. Now we have entitled brats who think the fastest way of calculating pi is the right way of doing it."

[@olabergvall3154]

Yeah hate it when that happens

[@rubenhaug3978]

Underrated comment

[@PunnamarajVinayakTejas]

@@rubenhaug3978 It got 4 likes in 4 days so long after the video was released, so... I'll take it

[@j6077xxd]

Hahaha.

[@walterloehrmann5213]

@@PunnamarajVinayakTejas I gave you like 100. I made you three digits, my dude! ;)

[@royfablooo2810]

Isaac Newton, when the plague hits he discovers gravity, Invented calculus and made his Annus Mirabillis. And here am I getting fatter from quarantine.

[@darren430]

i know, right??

[@Shootskas]

Maybe he would be getting fatter if he had KZbin as well...lol.

[@darren430]

@@Shootskas He would have invented KZbin!

[@Shootskas]

@@darren430 touche

[@darren430]

@@Shootskas ;-)

[@sohamchandratre]

I first watched this video like 2 years ago, when i was just starting my engineering. And i have returned to this video a few times because i found it fascinating. But now that I'm in my final year of my engineering diploma, i finally understand the actual math and theory behind it and it makes the video that much more amazing

[@xyzct]

A mathematics professor who was a good friend of mine, and who died recently at 90, told me with haunting conviction that Pascal's triangle has not remotely revealed all of its secrets.

[@dacolts24]

Were gonna break the universe at some point. Or discover the beginning and end. Idk crazy stuff happening

[@movinperera]

If this much was learnt by just rotating the Pascal's triangle in two dimensions, imagine what could be there if it was in the 3rd dimension

[@rs-tarxvfz]

@@movinperera Or even worse, combine Quaternions with Pascals Triangle

[@jessiegashler427]

@@rs-tarxvfz NO NO NO NO NO! I've spent the last 5 freaking years wrapping my head around quaternions! We DO NOT need to make them any more of an enigma!

[@rs-tarxvfz]

@@jessiegashler427 May quaternions explain much more complex phenomenon.

[@bobbythezombie]

Newton’s quarantine: playing with mathematics and changing the science, my quarantine: playing youtube videos I can barely understand

[@yousorooo]

Sir Isaac Newton also invented color theory.

[@RyanBoggs]

"Newton was quarantining at home due to an outbreak of bubonic plague." Newton was such a recluse, we all know he would've been at home even without the plague haha.

[@kento6201]

Haha all thanks to his solitude we got this impressive idea!

[@kento6201]

Haha all thanks to his solitude we got this impressive idea!

[@samsontag]

Yeah but he would have been too busy with his 'close friend' if he wasn't in quarantine.

[@noozzoo5152]

Sheeple think SARS-CoV2 is equivalent to the Bubonic Plague. We now have a generation of insufferable germophobes.

[@vijayanand2394]

@@noozzoo5152 5 seconds ago, lol

[@mathematicalbiologist154]

There are two mistakes at 14:25 & 14:28. Firstly there should be x^5/5 in place of x^4/4 and x^9/9 in place of x^9/8 and then 5×8 would be equal to 40 not 4×8 and 128×9 would be equal to 1152 not 128×8. Just for the mathematical formalism. Else, the video was great.

[@renatastec5212]

wow...

[@lacerisesurlegateau4192]

yo I saw it as well and was wondering if someone else noticed lol

[@TemplarX2]

@@lacerisesurlegateau4192 It was getting on my nerves. I was how the hell is 1/8 x 1/4 is 1/40. Then I look at the integration and saw the error.

[@andrewzmorris]

"Luckily he had just invented calculus" unbelievable

[@paxpacis2]

Right? "speed running maths" is complete understatement. Newton is the equivalent of dropping an atomic bomb on cavemen

[@andyc9902]

You will never find The fun and love in maths. If you don't, "Seek"

[@jacky-brawlstars823]

Welcome to real numbers in Math

[@BlastinRope]

Discovered

[@paxpacis2]

@@BlastinRope No, invented

[@javiergreen603]

Newton quarantined at home: figures out pi Me quarantined at home: screws up making a pie

[@georgesracingcar7701]

For some reason I didn’t get the joke on the first read Maybe because it should’ve been more creative.

[@oswaldoriginal5037]

haaaa ha ha, and all those series to me are not convincing

[@vedantsridhar8378]

@henk How do u know

[@MOHIQB]

Hahaha😆😆😆

[@jeremiahpeter7394]

Lmao you're one cool dude mate 😊👍🌈🇲🇾🍀

[@saddlepiggy]

“Luckily, Newton had just invented Calculus.” Bruh chill out Newton leave some discoveries for the rest of us.

[@SparklingWalrus]

newton was a massive con artist

[@mdv9831]

Yeah. Newton was a little too smart. The man did enough stuff to help modern physics 100s of years later

[@jhonjacson798]

Tbf if newton never lived we still would have had calculus, Leibniz has got you covered

[@ASLUHLUHC3]

@@akashverma8656 Leibnitz fanboy

[@mdv9831]

@@jhonjacson798 true. But a lot of other things would've gone undiscovered. The man discovered too many things to count. Also, calculus was discovered earlier in India.

[@red-p3k]

The bounce we never knew we needed 0:14

[@JoJiX]

Ohhhh, that bounce was so smooth it smoothened my brain

[@ThreeWhiteSoldiers]

given a pizza with radius of "z", and thickness of "a", you can calculate its volume using V = pi.z.z.a

[@abashedstorm]

we had this written in our school book :D

[@catchyten]

My dude...love it

[@rayenmemelord784]

Nice

[@porkypig2971]

🤣🤣🤣🤣

[@amanvijayjindal5742]

❤️the video, ❤️ your comment

[@JamesFluker]

The pizza crust demonstration across the circles and then the rectange created from the slices were the best visual representation of Pi being Pi that I've ever seen. It made it instantly apparent how the outcome of the math works.

[@BlitzCraftMC]

ikr i always knew pi was circumference / diameter but seeing the circumference lade out and giving 3.14159265.... diameters was kinda cool lol

[@joeyzhong584]

Newton when quarantine: Figure out a new way to calculate Pi. Me when quarantine: Make a pumpkin pie and watch how Newton calculated Pi.

[@stefanmenzel263]

OMG that's genius

[@dfl8656]

Hilarious! But just think...there might be someone out there right NOW about to revolutionise a subject!

[@lLl-fl7rv]

Underrated comment.

[@tananshahuja9877]

Hi derrek, i dont know why, but this is my comfort video. Yeah. A video about pi. And one of all the videos you have ever posted(which i have seen(all of them)) this one is my comfort video. Such elegance!

[@Sami_m_a]

When Mathematics is visualized and explained properly from the beginning it is absolutely beautiful.

[@samirpalepu1588]

It's the language of the universe, the most beautiful thing to ever have been discovered. Everything is based upon it.

[@hamsarris8341]

You can thank the mathematical genuis God.

[@seanmiller8686]

@@hamsarris8341 shut up

[@hamsarris8341]

@@seanmiller8686 ?

[@seanmiller8686]

@@hamsarris8341 god didn't do anything

[@salvtrooper113]

Revealing the history behind Math makes it so much more interesting...it’s a shame History is divorced from Math because it would definitely kill the question “why do I need to learn this?”

[@XMarkxyz]

Same for science, there so much in the history of science of how we came to know what we know: it always astonishes me how greek's geometry was advanced just think about Eratosthenes, or how with simple experiments whith genius insight Lavoisier managed to put down the basics of chemistry or how Focault proved Earth motin and his idea of the gyroscope is used for airplane and satellites navigation

[@BenDRobinson]

Funny you should say that, because when I was at school doing science it used to piss me off that we were being taught history of science when I just wanted to learn science. What did I care about outdated models of atomic structure? But now I actually enjoy learning more of the history side of things.

[@KaineAlpha]

Newton during a pandemic: *Solves Pi* Me during a pandemic: *Sleeps all day*

[@suyogkhadilkar]

He didn't just solved the pi, he invented entire calculus in summer break

[@KaineAlpha]

@@suyogkhadilkar what a monster.

[@katalysis]

@@suyogkhadilkar Newton was trying to solve Pi and inventing calculus was just a side quest on the way.

[@terratv3020]

Eat a pie if we lucky..

[@mikedauglash3227]

didnt he also found those physic Newton law of motions also? apple thing?

[@iamvoidnoodle]

I have zero clue what’s happening in this video but it’s somehow keeping me extremely entertained and engaged so good job on that 👍

[@heavencanceller1863]

The fact that a person actually managed to figure something out like this is amazing. Our brains are actually insane

[@System3200]

His*

[@Sonathan1893]

@@System3200 Sadly you can't expect that from him, if people would notice at which point you're actually smart (and stop generalizing), we would have a lot less problems.

[@System3200]

@@Sonathan1893 I dont get it (which proves my point)

[@leonrothier6638]

@@Sonathan1893 And then I kiss you

[@leonrothier6638]

@@Sonathan1893 😘

[@ikeatable1]

If it was anybody but Newton or Euler this would be one of the most iconic moments in mathematical history. The fact that this is one of the least interesting things that Newton discovered is completely insane.

[@ker0356]

or Gauss, that guy had all the answers in the universe but kept them somewhere in his private letters to someone

[@ayan8136]

Nice pfp

[@prodjignesh]

@@ker0356what

[@niks660097]

@@ker0356 damn, these private letters and their owners, another reason to hate the rich, they keep buying these letters in auctions.

[@457max]

Newton was on a roll during plague breaks. Give him a day off and he'll solve the universe.

[@anshbeast5934]

The sheer way humans can do soooooo much with just 10 digits discovered from their fingers is extremely fascinating

[@decidiousrex]

It's unfortunate actually that we have 10 digits and thus created a base 10 system of numerals. If we had instead created, or maybe I should really say normalized, a base 12 system, mathematics as a whole would be far simpler and easier. Base 10 is not really a very good system but because we have 10 fingers it's become the prevailing one.

[@lusv4316]

@@decidiousrex base pic would be ideal!

[@lusv4316]

@@decidiousrex base pi*

[@decidiousrex]

@@lusv4316 The only time base pi is ever useful is with circles, and in the very few cases base pi is ever useful it is generally used. For everyday purposes base pi would be absolutely horrendous, and would literally and should literally never be used.

[@varshvarsh9486]

@@decidiousrex Not every civilization did that tho. Some counted the space between the fingers and thumb, and measured from a base 8. But ya, base 10 is what we generally use

[@zrizzy6958]

🎯 Key Takeaways for quick navigation: 00:00 🍕 Pi can be visualized by cutting pizza slices and calculating the area of a unit circle as Pi. 01:33 🧮 The ancient method to calculate Pi involved inscribing polygons in a circle and using their perimeters to estimate Pi's value. 02:57 📏 Archimedes improved Pi estimation by using polygons with more sides, getting closer to its actual value. 05:00 🤯 Isaac Newton introduced a revolutionary approach to calculating Pi using the binomial theorem, allowing for fractional powers and infinite series. 08:16 🔄 Newton extended the binomial theorem to negative, fractional, and non-integer values, unlocking new mathematical possibilities. 10:40 🪟 Pascal's triangle can be expanded with fractions, creating a continuum of numbers between known rows. 13:38 📐 Newton used his extended binomial theorem to derive an efficient method for calculating Pi by integrating a series from 0 to 1/2. 16:37 🏗️ Newton's approach revolutionized Pi calculation, making previous methods obsolete and showcasing the power of mathematical innovation. Made with HARPA AI

[@danielwang2956]

My math teacher used 90 minutes to try to explain this back in high school, yet your 18 minutes did a much better job

[@huepjr5606]

Yeah, its impressive how videos and visualization can help understanding that much and how the education system still relies on the teacher writing everything on the board.

[@tylerdurden6917]

@@huepjr5606 I hope VR and AR expands this

[@daphenomenalz4100]

@@huepjr5606 it's not possible everywhere😅

[@huepjr5606]

@@daphenomenalz4100 but its possible somewhere

[@brightyorcerf]

The real question is why Derek bough 6 pizzas when 4 could have done the job.

[@TomFromMars]

The naive approach. You don't assume the value you are looking for, you just go and find out. Or maybe pizza cravings?

[@RoyBatty81]

One of those pizzas was an intruder. It had pineapples

[@TomFromMars]

@@RoyBatty81 i ber sir Isaac Newton never ate a pizza with pineapple!

[@rosepinkskyblue]

Maybe having some friends over?

[@Kamilione]

He wasn't sure what the ceil of pi is. Better be safe!

[@BradTheProducer]

So he figured this out during quarantine. Now I feel even worse about how little I accomplished in 2020.

[@lizzycoax]

engineer gaming

[@uzerf]

anddd he was 24 lol

[@airprincessjennifer]

Lol

[@PerthScienceClinic]

And so you should. It isn't as though he had one of the finest creative scientific minds of the last, well, all of history.

[@dionysianapollomarx]

He also invented optics and the prism experiment. He was also doing alchemy. As mentioned, he wrote the foundations of calculus.

[@SciTrickShorts]

I adore that mathematicians are nearly always so delighted to discuss math.

[@dhruvdonsahu9972]

Ikr ,the guy in this video was so excited

[@NyxGamingAU]

I asked my math teachers for many years... “but why Pi?”. They would always say “just because, it’s the rule”. This is the first time I’ve understood WHY, thank you.

[@fluffigverbimmelt]

Wtf, what kind of lazy/incompetent maths teachers do you have?

[@pressfinchat]

@@fluffigverbimmelt you don’t know the half of it. My 10th grade math teacher was the embodiment of this.

[@ivanemilov522]

@@fluffigverbimmelt on the question of "what is pi ?" you get "3.14" as an answer so yes that kind of teachers is what we are talking about

[@LetsSewIt]

In elementary school our teacher actually let us did a project introducing Pi. While it did in the most simplest and basic way, now I'm kinda proud of that math teacher we've had in elemantary.

[@AsFewFalseThingsAsPossible]

Pi is so easy and fun for students to find using a piece of string or even a black marker (and roll a round object on paper), and a variety of circular objects. Just saying "It's the rule" is not being a maths teacher.

[@kamo7293]

just imagine how long maths took because of things like roots and stuff. we're lucky to be in the age of calculators

[@vejymonsta3006]

Totally. Calculators give anyone the ability to be a mathematician. It's safe to say we wouldn't have most of the technology we use today without them.

[@emlun]

Then again, calculators only work because of infinite series expansions much like this one for pi. We are in the age of calculators because mathematicians have worked hard to rewrite complicated functions as quickly converging series of basic arithmetic operations.

[@cavvieira]

Books with tables of numbers and functions were a thing when my dad was in college. Fun times, I bet.

[@kamo7293]

@@cavvieira yeah I heard from my high school teacher about how to do big multiplications with log tables and such. granted... I got nothing out of it except a headache

[@rahimashraf7146]

There is a down to calculators they make it quicker for you to compute but you don't understand the true beauty of what is going inside

[@vikasverma2580]

From just looking at that guy's face you can tell how much in love he is with maths.. He is just so darn happy ❤️

[@MasterCivilEngineering]

👍👍👍

[@SUPAMON]

Kind of

[@ericvosselmans5489]

either that, or there is someone under the desk

[@shohomchakraborty9081]

I’m part of an advanced math progam in MoMath and he’s actually one of the instructors!

[@TheComsicCurator]

He reminded me of my college days studying Math. I used to talk to my Math Major and Non-Math Major friends all about random math history; and wouldn't stop tell someone told me to shut up.

[@djmeow394]

I was literally 23 in quarantine and the only thing I've managed to do was find the fastest way to eat Instant Ramen.

[@kozmizm]

Whoever made those pizzas did a great job edgelocking the dough. The crust shape and size is perfect.

[@derontanzil6939]

23 years of pizza tossing does that to a man

[@spearsg]

yes -- i suspect our man took time & shopping to consider which pizza house's product would be best for this vid.

[@stephenolan5539]

A pizza guy went on AGT. So far he got past the audition no telling how far he will go.

[@Tailspin80]

Legend has it that Newton got the idea when a pizza fell off a pizza tree.

[@ishworshrestha3559]

Ok

[@andrewbledsoe131]

I love that dude's enthusiasm talking about Newton discovering these things.

[@Shadoune666]

Awesome story, explanation and animation!! Great video!

[@Cristian24GG]

:0

[@martingu36]

Vaya, vaya. ¿Quién tenemos aquí? El auténtico Shadoune666, qué increíble descubrimiento.

[@psyrtemis1567]

El Francés Colorado en este canal es el crossover que no creía necesitar hasta que lo vi.

[@Luke-rn2wh]

Wtf Shadoune científico, No me lo esperaba.

[@Luke-rn2wh]

Que raro ver a Shadoune por aquí y tan recientemente.

[@tedpop]

I have degrees in mathematics, and have never seen anybody explain concepts as well as this channel.

[@hrishikeshtalukdar7437]

Literally, I felt a sense of euphoria and sheer joy while watching the video. At every point of this video, I was appreciating the genius and simplistic manner of not doing the obvious by the great Sir Isaac Newton.

[@mujtabanadeem3901]

Same!

[@Idontknow-vm1iy]

These are the ways I discovered what I enjoy. I felt quite similarly about the genius of Isaac Newton and Richard Feynman when it came to physics. I learned through that, that I personally enjoy the mathematical side of physics quite a bit. Thank you, Veritasium, and other science channels for helping me discover my major as a kid.

[@paramvarsha3887]

Well we can't argue about his talent... Awesome in a sense where it feels very true!

[@atallcosts999]

Yes!! Found myself muttering “f*cking brilliant” throughout the entirety.

[@manthony121]

Yeah. Take a genius and don't let him leave his house for a couple years. Who knows what you'll wind up with? Social distancing at its best!

[@Driesipops]

he was testing to see if he can write 6 pizzas of on his taxes as a buziness expense

[@mark-ish]

Hopefully the ATO will reprimand him for having pineapple on it.

[@MahardikaMatika]

Now that's a true genius

[@snippykeegan]

Damn, Veritasium stole gus' idea

[@vigilantcosmicpenguin8721]

this video is for a tax write off

[@snippykeegan]

@@vigilantcosmicpenguin8721 yeah that one XD

[@MissNebulosity]

WHY COULDNT THEY have taught us geometry like this!??!?! Omg. This is so elegant.

[@anunentitledmotivatedmille7731]

They would have to pay KZbin I think maybe

[@thewaffle187]

They are teachers lady, they dont have the budget nor time to edit and make this animation, powerpoint is the most they can do.. take it or leave it

[@olivierr4232]

@@thewaffle187 nowadays these videos are so good that i wonder if teachers are even worth it anymore

[@WeighedWilson]

Would you have understood this if you didn't have a good grasp of the concepts before watching?

[@JamesJoyce12]

geometry is one of those dividers in middle school - you either see it or you don't - if you don't then no amount of elegant instruction is going to allow you to "see" it - sorry - the difference between smart ppl and avg ppl is real

[@mike814031]

6:12 in a way it’s kind of hilarious that nobody noticed the similarity and relation to Pascal’s triangle and the other thing you’re talking about up to that point, but realizing those kinds of underlying patterns is exactly what separates the good from the great mathematicians

[@r3I4x]

Imagine being so smart that two hundred years later people are still failing to pass tests on reproducing what you discovered from scratch.

[@anirbanroy5667]

They also taught that there is a different kind of fun in confusing and stressing out people

[@menensa]

@@anirbanroy5667 😂😂

[@sidviscous5959]

I believe that Mr. Gottfried Wilhelm Liebniz might have something to say about the assertion that Newton just "discovered this from scratch." Liebniz invented much of the terminology that you must master in order to pass those tests.

[@applecheese8819]

@@sidviscous5959 The two discovered it independently of one another. Both of them contributed a ton to mathematics as we know it.

[@eclecticsoffy]

To be fair, the test is to make sure you remember the thing

[@flynnparish9833]

Archimedes: Flexing that 96gon* Francois Viete: 393, 216 sides of big boss* Ludolph Van Ceulen: Hold my Heineken* 4,611,686,018,427,387,904 sides Newton: I am about to end all your careers.

[@DarkWolf958]

actually paused the video to read the tomestone it was strangely comprihensible for something written in 1610, also interesting that the date year was numerical but the days were roman numerals

[@flynnparish9833]

@@DarkWolf958Can you imagine what would people say in a few hundred years into the future, people looking back at the tombstones that didn't have emojis on them?

[@sadenb]

@@DarkWolf958 That's because the indian numerals were adapted in Florence and it replaced the abacus for mathematics.

[@mctuble]

Until he realizes either he calculated them wrong or the person inscribing his stone did it wrong. Did no one else notice at 4:41 on his stone it says 3141...3 and not 5. Veritasium please explain!

[@yevedebe]

@@mctuble @Veritasium Indeed the picture that it shown is not the actual (recreated) tombstone. The image on Wikipedia is more correct. There are many differences. Even his name is spelled wrongly as Van Geulen (with a G). I might go and have a look myself to make sure. ;-)

[@kostathomas8732]

"We luckily for us he had just invented calculus" Just imagine how far back we'd be technologically if Newton got laid

[@Expizzapie1811]

God gotta nerf him, he knows too much🤣

[@АлександрАкимов-п5г]

I think ancient mathematicians would have been gods if they had lived a bit longer

[@cyka4075]

Virgin power

[@vigilantcosmicpenguin8721]

He min-maxed seduction and intelligence.

[@antoniusdaivap7759]

@Tom S yes, they most likely had many chicks

[@martebest]

16:20 "So no one was bisecting polygons to find Pi ever again." I did that. I have used Archimedes method on polygon with n sides, where n was expressed with a number with 30106 digits. Digits, not a sides of polygon. My CPIARCH (Compute Pi Archimedes) procedure is written in C language with use MPFR library. My first calculations took 4246.013 seconds to run to confirm the built-in MPFR canonical Pi value for 60206 decimal places.

[@USMLELive]

My boi Sir Newton was quarantining and discovering pi while we been quarantining and eating pies. Thank you to all the mathematicians and scientists for contributing to the world of Math, something I am extremely passionate about.

[@alfonsomunoz4424]

Were you eating pies or πs?

[@USMLELive]

@@alfonsomunoz4424 Probably 3.14 pies considering the weight im trying to get off now haha

[@USMLELive]

What if a stomach can only maximally fit 3.14 pies of standard 12inch pizza. Mind blown.

[@imKeshav]

@@USMLELive Integrate it while you do the business next morning 🧠💩😂

[@bobshifimods7302]

He did more than that at the time. The video tells you he invented calulus, the greatest mathematical tool. He also came up with his gravity theory, equations of motion etc etc.

[@chaostrottel_hdaufdutube8144]

“And no one was bisecting like that ever again” yeah ask my math teacher

[@venoltar]

I remember using this method in a spreadsheet during my lunch break at work once just out of idle curiosity. It is quite easy if you let a computer do all the grunt work. Got a fair way along before hitting the inevitable integer overflow, couldn't be bothered to compensate to go past that point though since that would have taken a bit of actual effort :)

[@rikkardo9359]

@@venoltar Just use python. It is epic for math algorithms

[@Roomsaver]

Rik kardo MATLAB?

[@rikkardo9359]

@@Roomsaver not free?

[@vigilantcosmicpenguin8721]

Some people are still living in 1600.

[@dragonbotsw]

When you make a video just so you can expense pizza for your kid's birthday.

[@5dashes]

Business expense: five large pizzas.

[@honorarymancunian7433]

Yeah he totally didn't need six pizzas for that demonstration, lol

[@jannesvanderveen2611]

And you order pineapple on your pizza...

[@adam88099]

Cutting off the crust was a dead give away.

[@rogerstarkey5390]

@@jannesvanderveen2611 πneapple!

[@gilthenrill1024]

4:13 Its crazy how he spent two and a half DECADES of his life calculating that when 400 years later a computer can do that in less than a blink of an eye.

[@catsak7843]

Imagine the intellectual high Netwon was on after accidentally revolutionizing mathematics 4 times while just playing around with an equation out of boredom

[@draco89123]

Stuck in quarantine no less. Where's our COVID Newton?

[@chsxtian]

@@draco89123 watching Netflix, probably

[@binderchannel9454]

Just imagine that same Isac Newton spent years decoding the bible and metaphysics that no one talks about today. guess how many mysteries would be unlocked the day we refer to his metaphysical findings.

[@austinhernandez2716]

@@binderchannel9454 The Bible is a bunch of bs made up by primitive men. Half of it seems to be stories adopted from older religions.

[@3mpt7]

@Austin Hernandez That bunch of bs contains a whole bunch of quarantine measures, ideally suited for disease, plagues, and other outbreaks. Number one being 'If unclean, or showing symptoms, _don't_ attend your local congregation'.

[@76MUTiger]

I was a "C" student and found math interesting but accompanied by a burden for homework that I could not bear. Your discussion of Pi today has been fascinating and I thank you!

[@RangerCaptain11A]

as a math teacher of more than 20 years, I always want to know what a student finds do do that is more important. what was your thing, if you don't mind sharing?

[@mareknovotny5441]

@@RangerCaptain11A not the guy you asking, but for me it is learning why was it invented. For example: this goat channel released recently video about imaginary numbers (The math duel video). In that video he explains why mathematicians invented imaginary numbers, how they found it useless and useful later on again and how they play a role in Shrödinger equation. And a lot of people agrees that they enjoyed the video. At the same time I saw the video I was learning about complex numbers in the class and knowing the background I enjoyed it a lot more. Most of the time teachers just give you equations to learn and thats it, no explaining how it can be useful etc. Hope you will find useful my answer.

[@RangerCaptain11A]

@@mareknovotny5441 you're 100% correct -- every teacher learned in their teacher's college the first step in a lesson is to provide a motivating reason to learn the new concept. in 20 years i never asked my students to work hard without providing a reason.

[@cegeuruncegeurun3909]

@@RangerCaptain11A For me I wanted to understand Mathematics, it is very fascinating. It always felt like in schools or colleges that they don't teach enough for me to understand truly its concepts. Its just do this and do that most of the time. It is up to me to teach myself true Mathematics. I am currently majoring in Computer Science

[@RangerCaptain11A]

@@cegeuruncegeurun3909 yep, a good teacher brings motivation and curiosity. but all the teachers i worked with over my 20 year tenure always dumped it on the students and took no responsibility for their confusion and failure. its very sad. good luck with your studies.

[@andrewcoffey8390]

Just a bit of context here: Archimedes wouldn’t have considered pi to be a number. Instead, he was just calculating the ratio of the circumference of a circle to it’s diameter. But, ratios were not considered numbers at the time, and the numerical value we know didn’t actually show up for a long time. He would have left his approximation as the ratio of two integers.

[@ihsahnakerfeldt9280]

It's incredible how mathematical concepts we take for granted and use without even thinking are actually things that had to be discovered over millennia.

[@TristanCleveland]

@@ihsahnakerfeldt9280 Like 0.

[@robm1392]

You say the numerical value 'we know', but that's only to a few billion digits or so. We don't know the exact value of pi, and we never will, that's the beauty of transcendental numbers.

[@andrewcoffey8390]

@@robm1392 I never specified that I was talking about the numerical value in decimal digits. To mathematicians, pi is just pi. The explicit decimal expansion is of small importance. It's perfectly computable, and that's what matters. What I'm referrring to is that it today, we know of pi as some number. My point was that Archimedes wouldn't have considered pi a number, and it wouldn't have been considered a number for a while after he lived anyway.

[@robm1392]

​@@andrewcoffey8390 We're on the same page here; I liked your post about the ancient, brilliant mathematicians not understanding pi as a number in it's own right. It's maybe semantics and probably not important, but you did say numerical value and that implies numbers. All I was doing was informing other potential readers that writing down pi in a numerical form that we're used to is simply not possible.

[@abdelazizkara2352]

I can easily say, this video is one of the best mathematics video I've ever seen so far.

[@sunnyjayaram2289]

Currently a senior in high school. Your channel and 3b1b almost exclusively inspired me to go into math/comp sci in college. The feeling of pure fascination I get from vids like this is unmatched. I have high aspirations in life and you guys led me down a path that can allow me to achieve my goals while working with things that purely astound me. Thank you.

[@adeniranye]

Real talk. Illustrations like these go a long way for students. Good luck

[@maheshnaik8388]

Err..dear..do you go down a path..?...or up a path?..or a path on the same level ??..

[@michaelt5459]

@@adeniranye I'm so glad to have stuff like this today, but at the same time I'm saddened that we don't have more stuff like this in school. I was always really good at math (Like straight A's in AP classes), but it never made me passionate. We would be taught formulas and how to use them, a little bit about what they mean, but nearly nothing about how it was made. I understand they might not have the time for it all the time, but I think they could have incorporated it a bit more. Even if it means they have to cut back on overall content, I think giving in depth insightful stuff like this is much more valuable towards developing a proper math sense.

[@leviackerman6598]

​@michaelt5459 totally agreed, one of my mom's brother stopped math js cuz of this, (he was good at it)

[@silenttrickster9064]

Just want a biology related channel now...

[@KayamoImprovement]

the fact that theres no computer or calculator thousands of years ago and still manage to calculate large numbers is amazing

[@DearHRS]

@Sidemen AFTV Clips & More yeah but is that bad? it is verifiable, repeatable and reputable, like other theories, it is not an axiom that we just decided that it is true.

[@tridibdowarah5160]

Moral of the story : Newton was hell of a genius.

[@madcap9977]

True

[@santhoshhbs]

@@madcap9977 he just tried all the possibilities that he know

[@hijdjf2961]

@@santhoshhbs Look who's talking. You don't even have proper grammer.

[@hijdjf2961]

@santhoshh bs, you are the type of person to struggle to open pistachios.

[@santhoshhbs]

@@hijdjf2961 means?

[@donalddodson7365]

Thank you, guys! At about 6 min comes an amazing truth: mathematics transcends culture, language, and time/eras (as well as human foibles and so called "histories")! Perhaps proof of an eternal truth?

[@marythiel9447]

I've always wondered why 3.14 is so special in calculating things for circles but my math teachers never explained, saying "just because". Thanks so much for this great explanation!!

[@bettercalldelta]

To be honest it does get a little "just because" sometimes

[@Aldric524]

@@bettercalldelta It certainly does in the classroom. I think this is partly because to explain beyond "just because" to every single kid in the room would bring everything to a halt. Another reason is teachers get burned out eventually.

[@bettercalldelta]

@@Aldric524 yeah but what I was saying is math sometimes just messes with us and puts pi somewhere just because

[@crusaderACR]

Well Pi is 3.14 just because. We compute the relation and it gives that weird number. The best possible answer is "well, that's how the universe works"

[@thealchemist5376]

@@crusaderACR the best possible answer is to divide the circumference of any circle by it's diameter.

[@lesipapo7876]

His kids must've had a blast the day of filming this video 😂

[@DyslexicMitochondria]

He really demonstrated in such a simple and effective way. I am making a similar video but without pizza haha. So I guess my kids wont be having a blast and oh wait I dont have kids

[@abhayranjith]

@@DyslexicMitochondria bruh 😂😂😂

[@epicstuff7522]

@@DyslexicMitochondria yep

[@kennarajora6532]

but the pizza has pineapple, so god knows how happy he really is.

[@rubecork7102]

After the pizza was re-heated.

[@Lukas4182]

"Bad math papers do something everyone could do but no-one bothered to before" This hit hard as I'm just writing a math paper doing exactly this and actually being quite proud of it.

[@palashverma3470]

Leave a link here to let me know when you finish it!

[@Lukas4182]

@@palashverma3470 haha thanks, I will! Very technical stuff though

[@MessiForever-q9l]

i think he meant 'a usual/ordinary' paper, which would be the case for almost all published papers.

[@KappakIaus]

I don't know, in my field (autonomous driving) it feels like 99% of all papers are like this. So I wouldn't call it "bad". After all, even if others could theoretically do the same, there is still at a lot of effort needed to actually do it.

[@jonathanodude6660]

@@KappakIaus i mean all science papers for the last ages are just this. "new" ideas are mostly only in the physics sector

[@nokatoggled8130]

This literally came up on my 2024 gcse maths paper 3. We had to prove that pi was greater than 3 but less than 2root3. We were given the diagram starting at 1:38 but instead of a square surrounding it, it was another hexagon

[@abyss8421]

fr

[@randomacc77777]

yes, and watching this before helped me answer it correctly within 3 minutes of seeing it. the paper overall was easy imo