What was up with Pythagoras?
Vložit
- čas přidán 11. 06. 2012
- Pythagoras had a problem with beans and irrationality. What really happened? I don't know! The square root of two is irrational, and beans are delicious.
My personal website, which you might like: vihart.com
Pythagorus was afraid if beans because he believed every time you fart a part of your soul escapes. I'm not even joking.
And people think history isn't fun...
+Mittens Theninja It is when people like this fellow are the topic.. *:3*
+Mittens Theninja history isnt fun until it really mixes with math. I am not talking about the dates in history. the dates are what make history suck
If that's true, I have no soul anymore.
+Epic Chibi Hey, that would go with my dad! He farts a lot! LOL
So, what you're saying is that Pythagoras was irrational.
D C GET OUT
D C Your timeline ignores the use of the number 12960000 which is 60^4 by people several thousand years before the Greeks - your homework now could be to find out which culture was so mathematically savvy - and why. Reading Sitchin's books is the way I learned that. Good luck.
D C That was only a FRACTION of his problems!
D C Very well said. It's the usual reaction people have to someone questioning accepted beliefs.
...........
"Come on do the drum roll thing!"
"No"
"Why?"
"It's so bad"
What I love is that "irrational" still means both "that which can't be expressed as a ratio (of integers)" and "that which makes no sense."
I believe the word irrational comes from both “ratio” and “reason”
For sure! Between that and “imaginary” numbers, it goes to show that our cognitive biases can distort even as pure a discipline as mathematics
But what is 'sense'? And how to make it?
Dude.....You need to cover more historical stories and draw them like this! This was much more interesting than a monotone older guy explaining atoms.
I'm pretty sure its a she
My dude, I'm pretty sure the original commenter just calls all cool people (even girls - oh my!) "dude". How scandalous!
Julian Yang
*they are a she. It refers to an item...people are not items. And even then it would need to have an apostrophe "S."
cool cool
Technically, 'It' is a pronoun. A genderless pronoun.
how many notebooks have you used?
can we buy them?
Wait if I got to a hold with one of those things I could fly through every grade in high school.
+JoshOmegosh Mi yeah
#stopwastingpaper
i want that timeline
Its like the math version of belle delphine's bathwater. Smh
"Aw beans" ~Pythagoras
Kyle Marie underrated
This video is my childhood... Thinking about it now, I'll be going to university, majoring in math soon. This channel may actually be the one that will have the largest impact on my life as one of the things that gave me a love for mathematics. I guess I'll just have to see where this takes me.
Thank you Vihart,
Sincerely, a math enthusiast
CZcamsrs never realise their impact on some people's life
Dang if math is your childhood that sucks
@@isiahmattingly522 People enjoy different things. I for one am glad I grew up being fascinated with things like the way our universe works and the wonders we’ve managed to prove using logic and axioms. What sucks to me is that most people will never see how beautiful math can be (partially due to the way math is taught in elementary and high school which for some reason teaches memorization and a mechanical way of doing things at the cost of understanding)
@@HMS_Spartan I’m just teasing
@@isiahmattingly522 probably better than become a youtube commentator like you
That is probably the best presentation of Pythagorean theorem (and history of) I have ever heard, and that saying a lot. Been engineering for 40 years. Again, kudos to you young lady, very well done, you will accomplish a great deal
Delightful!
Pythagoras was irrational about beans even before he was irrational about the square root of 2.
Ex...excuse me? I'm sorry, but I didn't get the last eight minutes, so could you...uhh...repeat that? Slowly?
+MenexGaming You can set the speed of the video to .5 if you wish
+osquigene On drug version
+MenexGaming CHALLENGE: Put it on speed 2
×0.75 speed
One tiny problem: I always heard that Pythagoras wasn't afraid of beans he worshiped them. "He would rather die than trample on something holy" makes more sense to me than "he would rather be killed by an angry mob than by beans." It also seems to be more consistent with what we see from people throughout history. Also I wanted you to talk about him believing a dog was his reincarnated friend because of the twinkle in its eye.
UNLESS IT DOESNT EXIST
Ancient Greeks were afraid of beans cause they thought they contained the souls of the deceased. Weird.
I heard it was because a price of your soul escapes when you fart
+Sam Lee Maybe you eat the beans and fart the souls of the deceased? Or, no, you fart out your own soul which is then replaced by the souls of the deceased which you just consumed? That's kind of scary. I see why he was scared of beans now.
@Lauren Peng Excuse me, may I have the name of drawing in your profile picture?
CajunCoder yo it makes sense wtf
Pythagoras was in the illuminati, obviously.
toats
+Ciarán Kelly UNLESS IT DOESN'T EXIST
+Ciarán Kelly He did have an obsession with triangles.
+Harsh Deep *x files theme plays *
Half life 3 confirmed!
"Unless it doesn't exist" i love that part :D the joooyy
I've been binge watching Vi Hart's videos like it's a new season of House of Cards.
This video made me wonder how many notebooks you have that are just filled to the brim with the kinds of drawings you do for your videos.
"Unless it doesn't exist!" Is the best comeback when someone doesn't agree
Pythagoras, I have one question for you: What the beans, dude?
EDIT: Due to request, I have altered the phrasing slightly.
*beans
BEANS!
As a current math teacher finding this video to show his class I have to say, you are brilliant - well done!
Why are you using Roman numerals when Pythagoras is Greek?!?!?!?!?
+nick jack Well he definitely didn't use Arabic numerals. Roman numerals are the closest things to Greek numerals that her viewers are likely to understand.
Have you SEEN Greek numerals? They're about as obscure as you can get.
+Lighthouse Maniac Show me
+Thuperman well they used letters, alpha beta gamma delta and so on, but it wasn't a=1, b=2,c=3, it was A=1,B=2, but then after a little while it changed so that they could have bigger numbers. There's a numberphile video if you like that kind of thing.
minimooster Thank you very much
0:44 oh I see what you did there. The box is e by Tau. 2.718 by 6.28
We watched this in my GEM class and we loved it!! We watch your videos all the time and I’m just like “I’ve watched this one!” Or “let’s watch this one next!” It just makes me happy and makes school a little better :)
>•
I keep rewatching this, I basically know the entire script by heart now
so you know it Vi Hart now?
+mauro fitermann moreira nice pun
Fantastic video! I could listen to your voice in any subject, and really cool visuals. You earned my subscription.
Hey! This is really interesting especially how Phytagoras saw numbers and I like the way you explain with doodling. What i didnt understand was the connection between the odd and even in a^2+b^2=c^2. It was inspiring to understand how all this is connected to to the simple connections between numbers and how by drawing it makes it a lot easier to understand.The amount of history and math was well balanced!
I feel like I've watched a 2 hour conference about Pythagoras in less than 9 minutes.
While eating beans.
Watching your videos makes me want to relearn everything, I'm probably going to live on your channel for a while.
Thank you for existing.
8:20; Goldfish. The snack that doesn't smile back.
rewatching this 5 years later and wow there is so much stuff that used to go right over my head but now I understand!!
Been putting these vids together into a DnDungeon, I'm pretty proud of this one. Thanks ViHart for the inspiration for dungeon, puzzle, and learning
Aw, beans.
This is excellent!! (Had to check my playback speed) but seriously...outstanding presentation.
Funny, cute, artistics, creative and mathematical!
I favourited this video!
Your voice is mesmerizing.. 0//./<
How much money did you invest in markers?
This is fascinating! I love how you explain how he explored math when there was really no serious math at his time period. My question is: How did he use his cultural influences to prosper in math? Did it have to do with peer pressure?
beans: **exists**
Pythagoras: ight imma head out
Vi Harts video was really enjoyable because she made so many entertaining drawings to keep you interested. The video was really informational and funny. A piece of information that intrigued me was that Pythagoras didn't think about numbers as a line but as each being their own separate being. What I don't understand is why Pythagoras was so obsessed with finding the perfect proportion and why it mattered so much to him. The thing that was quite inspiring was how long ago Pythagoras lived and how abstractly he was thinking for his time.
To me, the Pythagorean Theorem was an easily formula to easily figure out the sides of a right triangle, easily (irrationality no included).Pythagoras's concept of a relation of numbers with nothing in between, is a great deal more comprehensible than having icky numbers fill up that area. Also, to know that his original formula was talking of (unit) squares somehow makes things more comprehensible. Everything was golden in Pythagoras's perfect little world, until root 2 reared its ugly head. It confused me that the legs had to both be even, yet the rules of how a square works magically filled my head ( after watching it 3 times) and blew my mind. Go irrationality! I liked to see that everything can and was (at some point) broken down to a simpler, nicer way. That helps me take the simple things I know for certain and translate it to anything that maybe challenging. It makes math enjoyable.
7:55 so brilliantly funny
Agreed
I love your voice! Your videos are the best videos!
Wait, I'm confused. What doesn't exist? What can't be even or odd?
The hypotenuse of the triangle, if you were to multiply it by some integer so as to make it become an integer, which is impossible since it's irrational. I think it's a bit like asking if infinity is odd or even!
0
0 is even.
Imaginary numbers?
I love this video to death, but Pythagoras was greek, so at 0:09 he would have claimed to be the son of Hermes, not Mercury. I'm sorry I'm nitpicking but its all the fun that you get to have with a classics major.
From this video, I learned that Pythagoras was very stubborn! I also never knew that the Pythagorean theorem was actually based off of squares drawn with the sides of the triangles. This was very interesting and you talk very fast!
aww beans.. that made me crack up. Keep up the good work
What was that about male genetalia?
Take two beans (or better yet, two marshmallows). Hold them up to your own genitalia and compare shapes.
How haven't I seen this before? What a beautiful video!
One of your best Vi!
I’m genuinely addicted to watching your videos
Help
God I love a good time line
IS IT BAD I LAUGHED AT THIS
*U JUST GAINED A NEW SUBSCRIBER INTENSIFIES*
Watching this has BEAN very informative!
Haha Google plus stalker are we Rahul Patel ;)
Sureee ;)
I love everything you do. Just thought you might like to know.
We were shown this is maths and everyone turned to me and went, "This is future Immy!" I then went home and watched all your videos I now have a box of hexaflexagons under my bed and see everything in a brilliantly new recreational mathematical way. Thank you xx
Holy shit you talk so fast I still don't get your square root 2 proof ffs now I'm angry 😢
I've rewatch this for the 7th time. Kinda get it..... this has bean painful
+evilmaster23rd Beautiful pun there.
+Isabelle Henson Well,making puns are my FAVa. If you can spit straight fire,urad. I've Pinto to the deepest part of hell to bring you these shite... I mean puns......save me
use the subtitles they're great
It's basically a proof of contradiction. We know that both of the legs are odd. We then assume thr sqr root of 2 is irrational, meaning it can be written as a ration in simplest form. We then prove that it can never be written in simplet form since ine of the legs neeeds to be even, which contradicts the fact that both legs are odd.
This is like the best video on youtube - had I known this 3000 years ago ...
I would really love to look through your notebooks. I bet it's more interesting than half the books I've read
This is the best thing I have seen on Pythagoras. Loved it.
I finally understand math!!
You won't regret spending 8 minutes watching this video!
Every single video.... MINDBLOWN like never before.
These videos actually make math fun! Wait... did I just say that? Thx Vi!
Holy God youtube thanks for recommending me this video 10 years later. Damn this is fire.
So much information about Pythagoras that I never knew! I knew about the Pythagorean theorem, but never this in depth about how it came to be.
I love to watch these. I showed my math teacher who SOUNDS a lot like you, but surely is not you. I try to follow long sometimes but get totally lost. Of course I am in 8th grade, and it sounds lik you are a PhD in mathematics anyway. I really enjoy the math class doodles. I make some as you make them, but I cant draw to save my life! I made a square with those squares in the corners to make a circle, and put a triangle with all the triangles in it surrounded by circle fractals, but nice videos.
Brillant and captivating. Well done.
Were about to learn this in school thank you so much for giving me a basic run over and laughs because every time to think of Pythagorean theorem I'm going to think of beans and laugh
You are the most creative person I've ever heard 😁😉
"here's now, 2012"
Y-yeah... About that...
This is a high quality youtube channel.
I love how there is so much history to math. Few seem to know.
This is legit the first of Vi's videos I actually understand
I love you Vihart. I LOVE YOU!
I'm supposed to be doing Algebra 2 right now, I'm not because Algebra 2 bores me. Yet I find myself watching a video about math. I don't know how, but Vi Hart makes math actually cool.
Your videos make my brain explode haha. Still enjoy them though.
"I'd like to give you a colorful story about exactly what happened with Pythagoras, but somehow that kind of truth doesn't last. What I do know is that the square root of 2 is irrational, that there's no way to have the lengths of a side of a square and of the square's diagonal both be whole numbers. Mathematical truth is truth that endures. This proof is just as good now as it was 2,500 years ago"
Thank you for creating and sharing this!
hey, I'm writing a musical about Pythagoras for my final math project and I want to use the battle that he had against Hippasus that you briefly explained. Is there any way that you can comment back with a little summary of what Hippasus was proving that lead Pythagoras to rage, and led Pythagoras to drowning Hippasus. It would be a great help! Thank you so much and it was an amazing video.
Ancient Greeks had a characterizaion for rational-irrational numbers through a process called ανθυφαιρεση, something like todays "continued fractions" and they had prooved that square root of 2 and the golden ratio were irrational. The characterization is in Euclids Elements: X2 and X3. Also form what i've red the part of "drawning in the sea" is not literal it has metaphysical meaning. Of course since it happened 2500 years ago we can never be sure...
You don't need the pythagorean theorem if you have the length of one of the double sides and the other side, as long as you're told two of the sides are equal in length
i just love viharts voice!!!
I remember waking up at 4am and started my day reading for 2 hours about Pythagoras.
At 5:30. I think the last square should be the one connecting the two squares together. The two need to be conjoined, and you can simply do that by overlapping the two, and have them share the last square. That is practically a new dimension every time, and what life is all about. Doubling and sharing.
So a page on the Internet tells me this: When Pythagoras said to his disciples, "Abstain from beans," he had no reference to them as an article of diet, for he ate them himself. What he did mean, and what his immediate followers already understood, was that they should abstain from the intrigues of politics as being antagonistic to a philosopher's pursuits.
frenetic, charming and informational. Much like yourself, I'm sure
Ok, how is it possible that I learned more in this video about irrational number than in all my math classes
How do you keep your sharpies so nice?!
Who ever you buy paper from must be the happiest person in the world.
These videos are the most fun I've had with math maybe ever
In this video: vihart bullies pythagoras to death
Why am I only discovering this channel now
Bravo! Another genius-level video.
Pythagoras simply did not want to be known as a has-bean.
Jason Selph idiot
*groan*
Daft bugger! :D
You should sell shirts with Pythagoras's sad stick figure going "Aww beans.."
Omg yass
Yes! I would buy that.
your videos hurt my brain in the best way
Pythagoras was killed by Illuminati/Masons who accused him of not "respecting Greeks Gods" who asked eating of animal sacrifeces. Pythagoras ate only RAW VEGAN DIET and healed people for FREE through this diet! He gave knowledge for FREE in a Serbian way bcs he was a SERB. He never spoke a word of Greek. Now, people who killed him, continue to destroy his image and his deeds out of hate. They destroy everything what is good and they rule the world by satanism.
GiftEconomy144 sounds fake but okay
Fire Starter ssshhhhh i know it doesn't make sense just accept it
Just pretend you're watching, but instead look at the pretty colors of the stick figures.
I guess you could say you've got a _migraine_
You know you're good when your CZcams videos are shown in a Year 9 maths class. That's how I found your channel! Congrats, love ur vids!!!
+Kathryn Brown i found her 2 years ago in a math 7 class. BTW, im 2 levels ahead of my grade
+Geometry Dash Zefez Good for you?
Brits
Just been shown your vid. In a year 9 math class. And found it online myself. And then I need to slow down the narrative voice. Cause I didn't catch that last uhhhh. I don't know. 8 MINUTES
@@fezziegd bruh
I don't understand anything, but I like watching anyway
Painting Kitteh ikr
Painting Kitteh i used to be like you when i watched these videos for the first time, but now when i come back and watch them again after having learnt all this in school. Suddenly they make sense and give a deeper meaning to all the stupid shit i had to remember, it's amazing really!
hooblmoob same here XD
With the triangle and squares thing:
You have the numbers in the squares that is squared. Work out what the 2 squared numbers are. Add them together and that is the bigger square number. Now all you gotta do is find the square root
Ur welcome
If they couldn't handle irrational numbers, I'd love to see how they'd react to complex numbers.
Or split octonions.
I'm not sure I want to know what split octonions are. Or what an octonion is.
@@KingNedya As far as I know, it's an 8-dimensional system of numbers.
"There's totally a ratio! You can make this with whole numbers!"
"Is not!"
"Is too!"
"Is not!"
"Is too!"
"Fine! Have is your way! So there's a whole number ratio in simplest form where this square plus this square equals this square?"
"Yea, that's the Pythagorean theorem! I made it."
"Yea, but for this triangle, you dont even need the full theorem. Its easy to see that its the same area by cutting it into four triangles."
"But I dont wanna divide the squares up into triangles! I want unit squares!"
"So, you mean, kinda like this, where this square is divided into units and so is this one and they all fit perfectly into this one and vice versa but NOT like this. It almost works but when you divide the squares evenly to fill up the two equal other squares, you've got this odd one out. There's an odd number of squares to begin with, so you cant divide them evenly between the two squares."
"*That's not even a right triangle!* What's your point‽"
"Just so you know, an odd number like seven isn't gonna be it, without even trying. An odd number times itself gives an odd number of squares, so whatever this number is, it can't be seven. It has to be _even_."
"Okay, so the hypotenuse is even, that's fine."
"So what if I proved the leg is even too?"
"Then it's not in simplest form. Any ratio where both are even, you divide by two until you can't anymore because one of them is odd, and then that ratio is the best. I thought we were talking about simplest form ratio."
"We are. If there's a ratio in simplest form, at least one of the numbers is odd, and since the hypotenuse has to be literally divisible by two, so the leg has to be the odd one. But what if I proved the leg had to be even?"
"You just proved it's not. It cant be both!"
"UNLESS IT DOESN'T EXIST! What you forget, Pythagoras, is that if this is a square, then the two sides have to be the same, and if it's divisible right down the center, so too is it divisible the other way! And the number of squares on this side, which is the number of squares in just one leg, is an even number! And for a number of squares to be even, what does that mean, Pythagoras, oh my brother?"
"If leg squared is even, then it can't be even, because it's already odd..."
"UNLESS IT DOESN'T EXIST!"
"But if they're both even, you can divide by two and start again, but this still has to be even, which means that _this_ still has to be even, which means you can divide it by two and start again, but this still has to be even, and everything has to be even forever and you'll never find the perfect ratio and *aww, beans!*"
You deserve an award for this.
"Mummy, this girl on CZcams is beating up my brain! I don't like it!"
+Abominatrix650
#Homer_Simpson_2015
It's elegant maths. It's what maths should be and not all numbers and memorizing.
+Black Knight This is mainly the philosophy about math. Math shouldn't be all this or else it'd be useless.
Don't you mean beaning up my brain? Lol I'm so alone. :(
I'm trying to do mathematics but this one girl keeps kicking my ass