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.
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
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.
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
@@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)
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
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!
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
"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!*"
Thank you, Ms Hart. I could listen to you all day, even though you talk so fast that you lose me at about the two minute mark. It isn't what you say, it's how you say it. You have style, character and a great sense of humour. And I'm sure you will already have deduced from the missing Oxford comma and the addition of a 'u' that I'm English. Oh, and I very much like your drawings. I'll be back.
+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.
The thing about Pythagoras thinking of numbers as separate beings reminded me that my for my mom each number always had its own personality, gender, and character traits. I really should turn on a tape recorder and have her describe them all to me. I'm not sure how high her number people go but I'm pretty sure it's into the teens and maybe higher.
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.
10 лет назад+31
Hi Vi, awesome stuff, going to use it in my work as a Math teacher. Small gripe with this video: The ratios you use from 4:12 to 4:27 are inverted, 1.4 is 14:10 not 10:14, etc. Ah, well. Nobody seems to have noticed (sorry if it was in older comments, I didn't go back more than a month). Still AWESOME video, keep them coming!
Ancient Greek "algebra" was a really interesting topic, (the term and concept of algebra as we know it didn't really exist until Al-Khwarizmi in the ninth century) with solutions to what we'd today call equations using compass and straightedge constructions. It's incredible what they did without arithmetic.
it makes you wonder, if the Greeks of Pythagoras' time couldn't even conceptualize our modern understanding of numbers then what will future perceptions of numbers and mathematics entail? Will their concept of math be so sophisticated that we could not even begin to understand it because for our whole lives we have been conditioned to believe math, as we understand it, is the perfect most absolute expression of quantitative reasoning?? Its crazy to think that in a thousand years people will look back and be like "wow, people in 2016 had no concept for the number asdkfjaslfkajhfk" the same way we think its crazy Pythagoras had no concept of 0 as a number.
Let's get real here for a second. Zero is not a number, it does not behave like one. (Three number-puns achievement unlocked) Pythagoras did not miss a number, he missed an instrument. We surely miss a lot that will be there in the future, but my opinion is that it's safe to say we got the basics alright.
+Batrax Well I think zero is a number. We use it as a digit on its own to show that an amount has no value but also use it other ways. Zero isn't the lack of a number. If you have 1.7 then that seven is showing the amount of that unit in the same way that 1.75 shows this. With that logic if you had 1.0 It shows the amount of that unit however could continue as 1.05. However you define a number, zero is used in the same way as other numbers. Half of zero maybe zero but then again if you double one you get one, but one is still classed as a number.
Craft It Note that the only "zero" greeks lacked is the one with nothing else after or before. They had fractions (for rationals) and they could write 100 alright (there is no real reason to use the zero there), they could write 203 by simply not stating the tens, in short they could use nearly anything for which a zero is needed in maths. And by the way, Pythagoras and his contemporary were fucking brilliant, on the same class of the mathematicians of today. I doubt they lacked the concept of "no number", they simply lacked the structure of mathematical relations connected to that concept.
This is one of my favourite videos. It combines history and maths and REALLY AWESOME THINKERS who had super-smart ideas long before the framework of what we know as mathematics even existed. I mean wut.
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 :)
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!
+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.
+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.
One of the only videos that have impressed me so much with the amount of time and effort spent on it, that I paused the video around halfway through to make sure I subscribed before losing the channel. Keep crafting!
I'm not even a math person (GASP!) and I flipping loved every second of that synaptic fireworks display. Thanks for that! You should sell those notebooks... they're works of art! I totally want one!
You say you suck at math but you take an idiot's false OPINION over number theory that was handed down by men much more intelligent than yourself? This video is literally full of lies.
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.
I finally understood what she was talking about when the guy was explaining to Pythagorus that the ratio for the right triangle was irrational. Didn't get it until now but I briefly understand :3
there's fantastic content: maths, history, storytelling, wit... bravo! But way, way too fast for my old brain! Is there a 20min version? Yes, I know that I could keep pausing and rewinding, but...
sounds like a difficult language to learn ! I think the subject of my sentence was "subject" so it depends on the gender of the word subject, which I don't know. What I'm more interested in is whether most italians give a toss.
Ray Kent (You asked for it so don't complain!) "Subject" cannot be something to which you refer as "bravo", because bravo means "skillful", or "good at doing something", or "I agree with what you just said/did" as a cheer. So you would say "Skillful!" to an opera singer, but not "skillful!" to a subject. English is definitely less complex than Italian, but Spanish and French are basically the same, so you can maybe guess from that. About the giving a toss, picture if someone put an extra s at the end of singular nouns or after every verb. "They does sound sincere." It's not like anyone would cry or shout at you, it's just mildly grating to hear.
Batrax I'm native anglophone living in france. My elderly neighbour uses the masculine plural for chickens despite all of them being female! I think that language follows usage.
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?
In his Present Lifetime, Pythagoras is perfectly Okay with Beans. In fact, he eats beans, pretty much, for Breakfast, Lunch and Dinner, as they are a good source of Protein, they Are Gluten-Free and they are Vegan (not to mention, Cheap and nutritious) So, yeah, I guess you could say that is one relationship that Pythagoras has repaired.
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!
@@78anurag i dropped out for a lot of reasons but mostly because i was working full time to support myself when i was 16-17 and didn't see a purpose in continuing school, things are pretty bad at the moment but that's standard, i hope you're doing well though kind internet stranger
Greeks thought that beans contained the spirit of the dead so were forbidden to eat them. They weren't allowed to touch white cockatrices. They believed that left was bad (sorry left handed ones). They said to help people load but not to unload. They wouldn't allow themselves to etc...
Advances in math. Addition. Negatives and zero invented to make subtraction meaningful every time, not just when the result yielded a positive integer. Square root of 2 was needed to make all Pythagorean Theorem results have values even when irrational. A length that cannot be represented by any ratio. We'd like every equation to be solvable and another strange square root without an answer appeared in some. No square can yield a negative, and yet we'd like math to be complete... the square root of negative one filled the gap. Now quaternions with i^2, j^2 and k^2 all -1, and i*j*k=-1. There are four parameters in every quaternion. a + b*i +c*j +d*k. These numbers are not commutative, ij = -ji.
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!
I never really thought of the theorem visually. The fact that squares are made off of the legs to see if the two sides equal the hypotenuse's square blew my mind!
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.
There's a huge difference between how we think of numbers and how the ancient Greeks did. For one, they didn't have a concept of infinity, as illustrated by Zeno's paradox and the fact that Archimedes, despite his obsession, never quite completed the task of creating calculus and resolving pi. He came extremely close, but didn't quite cross the threshold, so to speak. For another, they had no zero - the concept of nothingness as a thing unto itself basically originated in central Asia, and the idea of nothingness as a quantity came about in medieval India. Third, they didn't conceptualize numbers in the same way we do. Like Vi said, they didn't think of them as having an existence unto themselves, but as an attribute - as an amount of things. That might be why they freaked out about irrational numbers - how can such an amount even exist? Fourth, and probably most important overall, it isn't the numbers themselves they were interested in - they were interested in geometry, and how different shapes relate to each other.
I mean she was a busy, self-indulgent little snot that went on and on trying to impress (but not) everyone while disrupting the professor with prattle disrupting valuable class time with our professor. I hope that is clear enough, good people of the WWW.
Douglas Moseley uh... what? a busy, self-indulgent little snot trying to impress people? how do you know that? All I see before me is a girl who has taken interest in the history of pythagoras and his theorem, and she wanted to share what she knew/thought through a humorous and entertaining video.
TenshiRockin My comment was only to speak about a girl I knew in MY classroom and how this girl, gifted or not, reminded me of her. There were/are many brilliant people with social oddities. What is your deal? Why are you running to the defend this little snot?
![OhGeesy x Lefty Gunplay - What It Iz [Official Music Video]](http://i.ytimg.com/vi/L0yzW9t2ixk/mqdefault.jpg)
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"
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
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.
Pythagoras simply did not want to be known as a has-bean.
Jason Selph idiot
*groan*
Daft bugger! :D
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
You should sell shirts with Pythagoras's sad stick figure going "Aww beans.."
Omg yass
Yes! I would buy that.
You know you're good when your RUclips 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
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_
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
RUclipsrs 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
Delightful!
Pythagoras was irrational about beans even before he was irrational about the square root of 2.
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
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
"Aw beans" ~Pythagoras
Kyle Marie underrated
"And shame on the pythagoreans who didn't have the beans to admit it"...incredible
"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.
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.
"Mummy, this girl on RUclips 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
"It's better to be slaughtered by enemies than to trample on beans!"
Thank you, Ms Hart. I could listen to you all day, even though you talk so fast that you lose me at about the two minute mark. It isn't what you say, it's how you say it. You have style, character and a great sense of humour. And I'm sure you will already have deduced from the missing Oxford comma and the addition of a 'u' that I'm English. Oh, and I very much like your drawings. I'll be back.
Man did someone else read with a british accent after the "Ms Hart"?
So, I just discovered you....and....You affected me.
And now I'm going to study your videos every morning for the next couple of weeks.
"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.
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
UNLESS IT DOESNT EXIST
The thing about Pythagoras thinking of numbers as separate beings reminded me that my for my mom each number always had its own personality, gender, and character traits. I really should turn on a tape recorder and have her describe them all to me. I'm not sure how high her number people go but I'm pretty sure it's into the teens and maybe higher.
That sounds like synethesia
Josh Jenson Yeah sort of, but a lot more complex than any forms of synethesia I have read about.
StainlessSteelStyle Wow, thanks! Mom will be tickled to know there's a name for it and everything.
@@AltmerSupremacy isnt synethesia about colors?
yes! please do upload!
As a current math teacher finding this video to show his class I have to say, you are brilliant - well done!
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.
Hi Vi, awesome stuff, going to use it in my work as a Math teacher.
Small gripe with this video: The ratios you use from 4:12 to 4:27 are inverted, 1.4 is 14:10 not 10:14, etc.
Ah, well. Nobody seems to have noticed (sorry if it was in older comments, I didn't go back more than a month). Still AWESOME video, keep them coming!
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!
Ancient Greek "algebra" was a really interesting topic, (the term and concept of algebra as we know it didn't really exist until Al-Khwarizmi in the ninth century) with solutions to what we'd today call equations using compass and straightedge constructions. It's incredible what they did without arithmetic.
Was the bean field meant to be a square with the hypotenuse down the diagonal at the end
That would be such a random thing to intentionally include in this video.
Freddy Benelli You keep using that word. I do not think it means what you think it means.
woodfur00 what word
Aidan Christensen "Random."
Oh ok
it makes you wonder, if the Greeks of Pythagoras' time couldn't even conceptualize our modern understanding of numbers then what will future perceptions of numbers and mathematics entail? Will their concept of math be so sophisticated that we could not even begin to understand it because for our whole lives we have been conditioned to believe math, as we understand it, is the perfect most absolute expression of quantitative reasoning?? Its crazy to think that in a thousand years people will look back and be like "wow, people in 2016 had no concept for the number asdkfjaslfkajhfk" the same way we think its crazy Pythagoras had no concept of 0 as a number.
Let's get real here for a second. Zero is not a number, it does not behave like one. (Three number-puns achievement unlocked)
Pythagoras did not miss a number, he missed an instrument. We surely miss a lot that will be there in the future, but my opinion is that it's safe to say we got the basics alright.
+Batrax Well I think zero is a number. We use it as a digit on its own to show that an amount has no value but also use it other ways. Zero isn't the lack of a number. If you have 1.7 then that seven is showing the amount of that unit in the same way that 1.75 shows this. With that logic if you had 1.0 It shows the amount of that unit however could continue as 1.05. However you define a number, zero is used in the same way as other numbers. Half of zero maybe zero but then again if you double one you get one, but one is still classed as a number.
+Craft It *square one, not double one
Craft It Note that the only "zero" greeks lacked is the one with nothing else after or before. They had fractions (for rationals) and they could write 100 alright (there is no real reason to use the zero there), they could write 203 by simply not stating the tens, in short they could use nearly anything for which a zero is needed in maths.
And by the way, Pythagoras and his contemporary were fucking brilliant, on the same class of the mathematicians of today.
I doubt they lacked the concept of "no number", they simply lacked the structure of mathematical relations connected to that concept.
it's 2017 now :)
This is one of my favourite videos. It combines history and maths and REALLY AWESOME THINKERS who had super-smart ideas long before the framework of what we know as mathematics even existed. I mean wut.
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 :)
>•
Pythagoras, I have one question for you: What the beans, dude?
EDIT: Due to request, I have altered the phrasing slightly.
*beans
BEANS!
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
I love your story telling
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
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!
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
I've learned more math from this video than I have from my last 10 years of school combined.
One of the only videos that have impressed me so much with the amount of time and effort spent on it, that I paused the video around halfway through to make sure I subscribed before losing the channel. Keep crafting!
Funny, cute, artistics, creative and mathematical!
I favourited this video!
Your voice is mesmerizing.. 0//./<
How much money did you invest in markers?
I'm not even a math person (GASP!) and I flipping loved every second of that synaptic fireworks display. Thanks for that! You should sell those notebooks... they're works of art! I totally want one!
You say you suck at math but you take an idiot's false OPINION over number theory that was handed down by men much more intelligent than yourself? This video is literally full of lies.
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.
"He got caught because he went around the field, not through it"
I love you, Vi!
Fantastic video! I could listen to your voice in any subject, and really cool visuals. You earned my subscription.
Even though I flopped math, you make it all make sense and FUN of all things.
I finally understood what she was talking about when the guy was explaining to Pythagorus that the ratio for the right triangle was irrational. Didn't get it until now but I briefly understand :3
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
there's fantastic content: maths, history, storytelling, wit... bravo! But way, way too fast for my old brain! Is there a 20min version? Yes, I know that I could keep pausing and rewinding, but...
I know nobody cares, but in Italian the feminine of "bravo" is "brava". "Bravi" for plural masculine and "brave" for plural feminine.
sounds like a difficult language to learn ! I think the subject of my sentence was "subject" so it depends on the gender of the word subject, which I don't know. What I'm more interested in is whether most italians give a toss.
Ray Kent (You asked for it so don't complain!) "Subject" cannot be something to which you refer as "bravo", because bravo means "skillful", or "good at doing something", or "I agree with what you just said/did" as a cheer.
So you would say "Skillful!" to an opera singer, but not "skillful!" to a subject.
English is definitely less complex than Italian, but Spanish and French are basically the same, so you can maybe guess from that.
About the giving a toss, picture if someone put an extra s at the end of singular nouns or after every verb. "They does sound sincere."
It's not like anyone would cry or shout at you, it's just mildly grating to hear.
Batrax I'm native anglophone living in france. My elderly neighbour uses the masculine plural for chickens despite all of them being female! I think that language follows usage.
Ray Kent Yeah, masculine-feminine singulars-plurals are sometimes fucked up in romance languages.
(ps: but for "bravo" they're not)
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?
rewatching this 5 years later and wow there is so much stuff that used to go right over my head but now I understand!!
In his Present Lifetime,
Pythagoras is perfectly Okay with Beans.
In fact,
he eats beans, pretty much, for Breakfast, Lunch and Dinner, as they are a good source of Protein, they Are Gluten-Free and they are Vegan (not to mention, Cheap and nutritious)
So, yeah,
I guess you could say that is one relationship that Pythagoras has repaired.
8:20; Goldfish. The snack that doesn't smile back.
I love this channel because I speak very fast and it tends to agitate people. finally someone who talks at my speed.
I was waiting for her to bring that beans thing around to a punch line, and she delivered. XD
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?
This is one of the best channels I've ever seen.
0:44 oh I see what you did there. The box is e by Tau. 2.718 by 6.28
aww beans.. that made me crack up. Keep up the good work
“Better to be slaughtered than to trample through beans” is my new life motto
holy smokes
And you do these Videos for FUN?????
I wonder what she does for homework... crack government Encrypted FBI Database codes??
Or expose NSA secrets?
How could I not know the existence of this video? Of this channel? My life was so incomplete. Thank you.
I find this hilarious, as I'm a lame 8th grader and my maths teacher introduced the Pythagorean Theorem on Friday.
you just learned about the pythagorean theorom?
i learned about it in 5th grade
and dont give your age online
Dude you are a somophore in college now holy ****
@@78anurag lool i dropped out of high school, its funny to read this comment i left that long ago
@@사라미-o2h Why did you drop out and is life still going good?
@@78anurag i dropped out for a lot of reasons but mostly because i was working full time to support myself when i was 16-17 and didn't see a purpose in continuing school, things are pretty bad at the moment but that's standard, i hope you're doing well though kind internet stranger
Out of all the logical looking thumbnails, I chose the one with the stick figure drawing of Pythagoras.
I regret nothing.
beans: **exists**
Pythagoras: ight imma head out
Greeks thought that beans contained the spirit of the dead so were forbidden to eat them. They weren't allowed to touch white cockatrices. They believed that left was bad (sorry left handed ones). They said to help people load but not to unload. They wouldn't allow themselves to etc...
God I love a good time line
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.
Aw, beans.
Uhhh.... Wha... Ermm... I don't...? Uh... WHAT DID I JUST WATCH *Much confusion, Such wow* ._.
I know, right!?
I remember this video when it was new and it's still one of my favorite RUclips videos. 👍
Advances in math.
Addition.
Negatives and zero invented to make subtraction meaningful every time, not just when the result yielded a positive integer.
Square root of 2 was needed to make all Pythagorean Theorem results have values even when irrational. A length that cannot be represented by any ratio.
We'd like every equation to be solvable and another strange square root without an answer appeared in some. No square can yield a negative, and yet we'd like math to be complete... the square root of negative one filled the gap.
Now quaternions with i^2, j^2 and k^2 all -1, and i*j*k=-1. There are four parameters in every quaternion. a + b*i +c*j +d*k. These numbers are not commutative, ij = -ji.
guys, ViHart is a calculator that can talk, draw, & write. HOW LONG HAS SHE BEEN HIDING IT?!?!?!?
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!
I actually learnt something here :D
I've never thought I'd watch a math vid for fun. Huh
I never really thought of the theorem visually. The fact that squares are made off of the legs to see if the two sides equal the hypotenuse's square blew my mind!
Watching this has BEAN very informative!
Haha Google plus stalker are we Rahul Patel ;)
Sureee ;)
7:55 so brilliantly funny
Agreed
Every single video.... MINDBLOWN like never before.
ITS TIME FOR TIME LINE TIME, MATHEMATICIANS LIKE LINES!
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.
What it felt like in my mind in high school, amazing Vihart.
mind-blown.
There's a huge difference between how we think of numbers and how the ancient Greeks did. For one, they didn't have a concept of infinity, as illustrated by Zeno's paradox and the fact that Archimedes, despite his obsession, never quite completed the task of creating calculus and resolving pi. He came extremely close, but didn't quite cross the threshold, so to speak. For another, they had no zero - the concept of nothingness as a thing unto itself basically originated in central Asia, and the idea of nothingness as a quantity came about in medieval India. Third, they didn't conceptualize numbers in the same way we do. Like Vi said, they didn't think of them as having an existence unto themselves, but as an attribute - as an amount of things. That might be why they freaked out about irrational numbers - how can such an amount even exist? Fourth, and probably most important overall, it isn't the numbers themselves they were interested in - they were interested in geometry, and how different shapes relate to each other.
I feel like I've watched a 2 hour conference about Pythagoras in less than 9 minutes.
While eating beans.
You won't regret spending 8 minutes watching this video!
What was that about male genetalia?
Take two beans (or better yet, two marshmallows). Hold them up to your own genitalia and compare shapes.
Oh Vihart. You leave me horribly confused yet magnificently mesmerized.
I finally understand math!!
AWWWW... beans!
One of my favourite Vi videos :')))))
Actually, you can if the side is Wau #Wauiseverything
Tim.V Dude. You just disproved all of math... WAU. THAT IS AWESOME.
Tim.V Wau is any thing, not all haha
I knew a girl like this in my calculus class...she was not well liked.
Bob Baker Unless he means that the girl was like Pythagoras.
I mean she was a busy, self-indulgent little snot that went on and on trying to impress (but not) everyone while disrupting the professor with prattle disrupting valuable class time with our professor. I hope that is clear enough, good people of the WWW.
Thank goodness I am not THAT guy! LOL
Douglas Moseley uh... what? a busy, self-indulgent little snot trying to impress people? how do you know that? All I see before me is a girl who has taken interest in the history of pythagoras and his theorem, and she wanted to share what she knew/thought through a humorous and entertaining video.
TenshiRockin My comment was only to speak about a girl I knew in MY classroom and how this girl, gifted or not, reminded me of her. There were/are many brilliant people with social oddities. What is your deal? Why are you running to the defend this little snot?