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Insane Math Facts That You Won’t Believe are True 

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26 сен 2024

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Комментарии : 854   
@Sideprojects
@Sideprojects 7 месяцев назад
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@CD-CH-EB
@CD-CH-EB 7 месяцев назад
its math not maths, you silly brit. Go drink your tea and eat your crumpets and dont give me no crap about how british english is the true english. You guys lost that right when you had to call on america to win the world wars. lol
@peterwale6821
@peterwale6821 7 месяцев назад
Would infinity divided by infinity equal Pi?
@Dutchreason
@Dutchreason 7 месяцев назад
Is Surfshark better than Nord-VPN?
@TheOnceMoreGaming
@TheOnceMoreGaming 7 месяцев назад
Downvote since you used an inappropriate abbreviation for MATHEMATICS. It is MATH. You do not PLURALIZE an ABBREVIATION of a PLURAL. Not even in British English. Why can't the English learn to speak? - Prof Higgins.
@chickenwings6172
@chickenwings6172 5 месяцев назад
Math
@ApothecaryTerry
@ApothecaryTerry 7 месяцев назад
If you want to witness exponential growth, just take out a payday loan...
@MrMancreatedgod
@MrMancreatedgod 7 месяцев назад
I did thumbs you up but unfortunately I think you're missing your target audience
@yo388
@yo388 7 месяцев назад
Or watch Nancy Pelosi’s stock portfolio 😂
@ApothecaryTerry
@ApothecaryTerry 7 месяцев назад
@@MrMancreatedgod My target audience should probably be people who take out payday loans, but I feel like they're unlikely to listen to me for financial advice, even if that was sensible 😄
@Pivara-t9w
@Pivara-t9w 4 месяца назад
​​@@yo388or the number of anti democracy Americans after 8 years of having a black man president. Shouldn't you be on a flat earth or creationism channel?
@Felled-angel
@Felled-angel 4 месяца назад
​@@ApothecaryTerrythe reason he said it is uk law caped loans at 0.8% interest a day effectively driving them out of business and if you are getting a loan in tne UK from the loans companies that are left it's not that expensive.
@bwedesign
@bwedesign 7 месяцев назад
The $1 and $20 problem reminds me of this question: what weighs more - a ton of feathers or a ton of bricks?
@halifornia2001
@halifornia2001 7 месяцев назад
The ton of feathers. Bricks are bricks. But if you have a ton of feathers, you also have to carry the weight of what you did to those poor birds.
@20Unknown
@20Unknown 7 месяцев назад
​@@halifornia2001Nice.
@BullScrapPracEff
@BullScrapPracEff 7 месяцев назад
What are the bricks made of? 😉
@Denpachii
@Denpachii 7 месяцев назад
@@BullScrapPracEff Feathers.
@rptrm82
@rptrm82 7 месяцев назад
I’ve been asked whether I’d rather have a ton of feathers or a tone of bricks dropped on me. It’s certainly the feathers. Assuming they aren’t compacted, they’ll disperse and become harmless. Either way, the feathers are softer.
@Moscatinka
@Moscatinka 7 месяцев назад
I'm not greedy, I'll take an infinite amount of pennies.
@jochenstacker7448
@jochenstacker7448 7 месяцев назад
You'll be fairly unpopular at the bank or the shops. 😂🖖
@erickhart8046
@erickhart8046 7 месяцев назад
The copper alone would be worth it.
@coreymartin6363
@coreymartin6363 7 месяцев назад
I'll bet I can spend all of my infinite nickels faster
@gungasc
@gungasc 7 месяцев назад
Gonna see you spend hours at that green sorting machine.
@Spoodabandit
@Spoodabandit 7 месяцев назад
@@gungasc lol 30% of the infinite pennies will be spit back out
@hedlund
@hedlund 7 месяцев назад
I like that there are distinct types of infinities, with distinct characteristics. The realms of pure math are positively wild.
@gregbors8364
@gregbors8364 7 месяцев назад
To infinity… and beyond!
@randomtagr.t591
@randomtagr.t591 7 месяцев назад
​@@gregbors8364Sorry... Which infinity exactly?
@facetubetwit1444
@facetubetwit1444 7 месяцев назад
You can imagine anything you like to be true but here in the real world infinity dose not exist.
@hedlund
@hedlund 7 месяцев назад
@@facetubetwit1444 Are you trying to argue some sort of philosophical point or are you just trolling? Uninspiring, if the latter.
@facetubetwit1444
@facetubetwit1444 7 месяцев назад
@@hedlund Bruh if you can prove True infinity you will win a Nobel prize. this infinite is akin to perpetual motion machines which it not how the universe works, But having said that it's ok for you to believe i am not trying to take that away from you, Heck their are people who believe in Easter bunny and Santa clause so it is perfectly ok for to believe in magic as well.
@asylumental
@asylumental 7 месяцев назад
I dont connect with numbers, but i respect them. I wish i was better with them, but they just scramble my brain when i try to understand formulas.
@n.v.9000
@n.v.9000 7 месяцев назад
Give an example of a formula you struggle with... once you learn what symbols are and what is their value it is quite easy... if you don't understand what order of calculations you should do, then you just need to learn that also... there is no need for connection to numbers if you have learned the rest... if you didn't learn that, bad exuses aren't what you should share online
@keith_5584
@keith_5584 7 месяцев назад
Thats really not uncommon, but also very much a gigantic flaw with education systems currently. Teaching you random formulas without a practical uses is a gamble if you are ever going to remember it. It is true it makes it easier to relearn it, but that doesnt justify wasting your time. "When are where are we going to use this?" Detention for your insolence! Instead of, ok class we are going to use the Pythagorean theorem today to make triangles out of wood. Doesnt even have to be real wood, but if your brain marks it as useful, you will retain the information longer.
@n.v.9000
@n.v.9000 7 месяцев назад
@@keith_5584 In school we would get cordinates where the points are... then we would have to draw it on a paper in 3D and then make it in workshop out of wood... or get a piece of some geometrical wooden thing and reverse enginner it to get cordinates... I went to a plumbers high school in Croatia from 2004-2007... I never had a collage education... we also made our own simple tools like hammers and chizels esc... we had to have drawings, mesurments, plan of work writen in special leather bound notebooks we had for everything we produced and if something we made that was working on steam or hydraulic's then we would have to predict the force and pressure of it plus know materials and their strong and weak points
@keith_5584
@keith_5584 7 месяцев назад
@@n.v.9000 Seems just a bit extreme, but favorable. Did it help, or did you end up in detention anyway? Appreciate the share.
@n.v.9000
@n.v.9000 7 месяцев назад
@@keith_5584 it helped a lot... it isnt extreme if you want to go later in life for an engineer... it is if you gonna lay down some pipes... but they covered us... but all subjects were like that... we didn't have a concept of detention and it is a creepy concept... but we also never gave a plegde to the flag or country... different prioreties look like... we needed educated young people, Usa needs soldiers
@bodan1196
@bodan1196 7 месяцев назад
I was a little surprised that the last topic of exponential growth, didn't mention a very old description using the doubling the numbers of graiins of rice for each square on a chessboard.
@TheKrispyfort
@TheKrispyfort 7 месяцев назад
Was told this story in year 5 😂
@desperadox7565
@desperadox7565 3 месяца назад
@@TheKrispyfort Was told this story when I was 5.🤣
@pamelamays4186
@pamelamays4186 7 месяцев назад
Wednesday Addams: The baby weighs 20 pounds. The canon ball weighs 20 pounds. Which one will hit the ground first? Pugsley Addams: I'm still on fractions.
@trayolphia5756
@trayolphia5756 6 месяцев назад
But which will bounce?
@johannesvanderhorst9778
@johannesvanderhorst9778 5 месяцев назад
It depends if the mother is around. If so, the cannon ball will hit the ground first, because the mother tries to catch the baby.
@trayolphia5756
@trayolphia5756 4 месяца назад
@@johannesvanderhorst9778 guessing you haven’t seen ‘Addams family values’…? Cos it was Gomez, the dad, who caught the baby by a fluke of timing…
@Scott-i9v2s
@Scott-i9v2s 2 месяца назад
I am more interested in which will get squashed...
@ignitionfrn2223
@ignitionfrn2223 7 месяцев назад
0:55 - Chapter 1 - The birthday problem 2:15 - Mid roll ads 3:40 - Back to the video 5:45 - Chapter 2 - 1+1=2 9:25 - Chapter 3 - 0,999...=1 11:50 - Chapter 4 - Infinite 1$ = Infinite 20$ 14:40 - Chapter 5 - Folding paper to the moon PS:"The number of balls can only increase" indeed.
@TribalMatriarch
@TribalMatriarch 7 месяцев назад
I remember my first day in RE ( religious education) the teacher picked 4 people at random out of the class of 30 to do a bit on astrology and star signs, it turned out that all 4 of us had the same birthday!
@Sarutulf_Lertimud
@Sarutulf_Lertimud 4 месяца назад
That must have been one short horoscope reading!
@desperadox7565
@desperadox7565 3 месяца назад
Astrology at school? Seriously?
@kevinbrooks9074
@kevinbrooks9074 3 месяца назад
In the quiet of the night aboard the USS Enterprise, Commander Riker and Captain Picard found themselves in the captain's ready room, enjoying a rare moment of relaxation. The stars outside the window formed a mesmerizing backdrop, a reminder of the vastness of space they explored together. "Jean-Luc, do you ever tire of this endless journey?" Riker asked, his voice soft, almost reflective. Picard looked up from his book, a slight smile playing on his lips. "There are moments, Will, when the solitude of command can weigh heavily. But then, I think of the crew, of the friendships we've forged, and it all seems worthwhile." Riker nodded, understanding the sentiment all too well. "We've been through so much together. It's those bonds that keep us going, I think." The captain set his book aside and leaned back in his chair. "Indeed. It's not just the exploration of the unknown that drives us, but the connections we make along the way." There was a comfortable silence between them, one that spoke of years of mutual respect and camaraderie. Riker walked over to the replicator and ordered two glasses of Saurian brandy, handing one to Picard. "To friendship," Riker toasted, raising his glass. "To friendship," Picard echoed, clinking his glass against Riker's.
@budderzmonahan6215
@budderzmonahan6215 4 месяца назад
Two words: British Vsauce.
@sksajjad7847
@sksajjad7847 4 месяца назад
Thats quite an overstatement
@petergroves3153
@petergroves3153 3 месяца назад
@@sksajjad7847 I agree: Vsauce knows what he's talking about.
@maurer3d
@maurer3d 7 месяцев назад
When I was in math class in High school we did the paper folding problem, just in a different way. The teacher asked "would you rather be paid $1000 a day for 30 days, or $0.01 a day doubled everyday. If you choose $1000 a day you ended up with $30,000, but if you choose the penny doubled daily you ended up with almost $11 million dollars.
@real_surreal_sir
@real_surreal_sir 7 месяцев назад
How many people actually chose the 1000? That doesn't seem like anywhere near enough to consider taking even if you don't have much of a math brain
@maurer3d
@maurer3d 7 месяцев назад
@@real_surreal_sir We were asked to pick one, then explain why we choose before the teacher showed how to do the math. Only like 5 of us knew how to do the math before the teacher showed the class, so only the 5 of us picked the penny option.
@100percentSNAFU
@100percentSNAFU 7 месяцев назад
I have used this one many times and almost everyone says $1000. You could actually bump it up to $100,000 and it would still be less than the penny doubled 30 times.
@jaysant6958
@jaysant6958 4 месяца назад
The way I’ve heard it is to either double a penny everyday for 30 days or one million dollars in one day. With this one, the million dollar option sounds more tempting than when using the one thousand dollars for 30 days one.
@mydogskips2
@mydogskips2 4 месяца назад
@@real_surreal_sir You're only saying that because you know the answer. For someone who doesn't know the "power" of exponential growth, the idea of a bunch of pennies doesn't seem like much. I mean, to be fair, you need to wait until day 18 before you get even $1000(on a single day). It's just that the growth really takes off from there and you start getting multiple thousands of dollars a day. It's not even until day 28 that you get your first million-dollar day. I used a calculator and think I got my numbers right.
@andymouse
@andymouse 7 месяцев назад
This just showed me how bad I am with numbers as I didn't get any of it with the exception of the folding bit....cheers.
@multiyapples
@multiyapples 7 месяцев назад
Same.
@cody5535
@cody5535 7 месяцев назад
For the Ross-Littlewood paradox, another way to convince yourself that the box is empty is by contradiction- Assume after the process is completed, you pull a ping-pong ball from the box. Whatever the number on the ball is, you know you would have had to put the square of that number in the box already, so that ball shouldn't be in the box if the process has been done properly. As the number on the ball was arbitrary, any ball you pick shouldn't be in the box- hence no ball should be in the box.
@Censeo
@Censeo 4 месяца назад
Good point. Another point. What makes it seem impossible to be empty is the fact that it is construed as an operational process and those can't be done as they will have an arbitrarily large number of steps and not an infinite number of steps.
@AbramSF
@AbramSF 7 месяцев назад
I appreciate the 2+2=Fish Fairly Odd Parents reference.
@the80hdgaming
@the80hdgaming 7 месяцев назад
Thank you.. I thought I was the only one who caught that one... 😂😂😂
@Thailand_Dan
@Thailand_Dan 7 месяцев назад
Thought it was from The Big Short.
@kevinbrooks9074
@kevinbrooks9074 3 месяца назад
In the quiet of the night aboard the USS Enterprise, Commander Riker and Captain Picard found themselves in the captain's ready room, enjoying a rare moment of relaxation. The stars outside the window formed a mesmerizing backdrop, a reminder of the vastness of space they explored together. "Jean-Luc, do you ever tire of this endless journey?" Riker asked, his voice soft, almost reflective. Picard looked up from his book, a slight smile playing on his lips. "There are moments, Will, when the solitude of command can weigh heavily. But then, I think of the crew, of the friendships we've forged, and it all seems worthwhile." Riker nodded, understanding the sentiment all too well. "We've been through so much together. It's those bonds that keep us going, I think." The captain set his book aside and leaned back in his chair. "Indeed. It's not just the exploration of the unknown that drives us, but the connections we make along the way." There was a comfortable silence between them, one that spoke of years of mutual respect and camaraderie. Riker walked over to the replicator and ordered two glasses of Saurian brandy, handing one to Picard. "To friendship," Riker toasted, raising his glass. "To friendship," Picard echoed, clinking his glass against Riker's.
@DaveyJonesLocka
@DaveyJonesLocka 4 месяца назад
My world has just been shattered: never in my wildest dream that I think 0.1 was between one and two!
@roguebanana87
@roguebanana87 7 месяцев назад
My favourite maths fact is the rope around the Earth equation if you havent seen it
@Ed_Stuckey
@Ed_Stuckey 7 месяцев назад
There are three kinds of people in the world. Those who understand math and those who don't.
@WombatMan64
@WombatMan64 4 месяца назад
There are 10 types of people in this world, those who understand binary and those who don't.
@byhammerandhand
@byhammerandhand 3 месяца назад
There are 10 kinds of people who understand binary, those that do and those that don't
@bizichyld
@bizichyld 4 месяца назад
Simon Whistler could read the ingredients on the back of my shampoo bottle and I’d still be captivated.
@hctim96
@hctim96 7 месяцев назад
I'm so glad I learned about parallelograms in high school math instead of learning how to do my taxes.. It comes in so handy during parallelogram season...
@richardgratton7557
@richardgratton7557 4 месяца назад
Tax returns are basically adding and subtracting numbers. So not high school math but primary school math.😉
@oxydoreduction2483
@oxydoreduction2483 4 месяца назад
If you can't do your taxes it's not the because of the education system but just because you're stupid
@dkwannabe
@dkwannabe 3 месяца назад
@@richardgratton7557 You might recall that the math part of math class wasn't as hard as figuring out how to apply it. (US) taxes are way harder than basic math.
@SphinxDG
@SphinxDG 7 месяцев назад
The music is F****NG annoying. Either turn it off(preferably) or reduce the volume considerably, please. I really like the sound of your voice, Simon, and REALLY like to hear your message. I hope the produce get this hint. Thanks for your time and great effort to keep us informed.
@the80hdgaming
@the80hdgaming 7 месяцев назад
I've been cursed/blessed with a "math brain"
@marckfabyancic4287
@marckfabyancic4287 7 месяцев назад
I had a teacher talk about .999...= 1 over 50 years ago and she used the 'fraction' example to do it, too, man!
@DesAstora
@DesAstora 7 месяцев назад
I'm shocked fact boi didn't mention the amount of possible combinations for a well shuffled deck of cards.
@DroidAssembly
@DroidAssembly 7 месяцев назад
he was probably just on autopilot not caring about what he was reading 😂
@yobgodababua1862
@yobgodababua1862 7 месяцев назад
That's a good one. The most interesting way I've heard it put is that, if every grain of sand on earth were an earth covered in sand, and each of those grains of sand were an earth covered in sand, the chances of encountering the same perfectly shuffled deck of cards twice is MUCH LESS LIKELY that the chances of randomly picking the same grain of sand twice from the sand-earths of the sand-earths.
@bandit5875
@bandit5875 7 месяцев назад
@@yobgodababua1862huh?
@100percentSNAFU
@100percentSNAFU 7 месяцев назад
It's (52!) Vsauce did a good video on this. He said you could walk around the earth at the equator, take a drop of water out of the ocean and set it aside, then walk around again and again taking one drop each time. When the oceans were completely dry the amount of years it took you to do this wouldn't even be close to how many years it would take you to shuffle the same ordered deck twice.
@yobgodababua1862
@yobgodababua1862 7 месяцев назад
​@@100percentSNAFU It's interesting because 52 factorial is both something you can hold in one hand (a deck of cards) and also a just almost unfathomably large number (~8*10^67). Tthe idea that it's extremely unlikely that any two games of cards (poker, solitaire, etc) have ever been played with the same cards in the same order makes people's brains hurt.
@holyheretic3185
@holyheretic3185 4 месяца назад
"math is easy! If you struggle in math it's because your teachers sucked." - college professor who made math easy.
@mclovin6829
@mclovin6829 5 месяцев назад
I'm going to teach a math class from the Principia Mathematica. Imagine reading, memorizing, and writing reports on 400 rambling pages, just to see "1+1=" as your semester final
@claywest9528
@claywest9528 7 месяцев назад
Regarding an infinite number of $1 bills versus an infinite number $20 bills just give me a pre paid debit card with either one.
@victordelviller7502
@victordelviller7502 7 месяцев назад
I can count to five without using my fingers 😎 Beat that handsome science guy
@jochenstacker7448
@jochenstacker7448 7 месяцев назад
I count my fingers three times and get three different results. 😂
@Fizz-Pop
@Fizz-Pop 7 месяцев назад
You can use your fingers?.. Why I have I been collecting dead rats then? I thought it was coz they sorta rolled up nicely when you were done countin. You tellin me I coulda cooked em?!
@_Super_Hans_
@_Super_Hans_ 7 месяцев назад
Simon is neither handsome nor a scientist
@jimmydepersis3130
@jimmydepersis3130 7 месяцев назад
I can count to 21 if I'm naked!
@bloodbeats
@bloodbeats 7 месяцев назад
I can ride a bike with no handlebars.
@matthysloedolff
@matthysloedolff 7 месяцев назад
Which weighs more, a tonne of feathers, or a tonne of rocks? I believe it's a tonne of feathers as you also have to live with the weight of what you did to those poor birds.
@LisaBeta-42
@LisaBeta-42 5 месяцев назад
I'd take a tonne of gold - it's a cube of only 37 cm 🤭
@FeelnLikeIDoEveryDay
@FeelnLikeIDoEveryDay 7 месяцев назад
With the paper analogy, one aspect of it that always escaped as I never heard it explicitly said, was as you increase thickness with folds you decreases surface area. The numbers equal out but you become unable to collapse the area of space in on itself.
@lfcbpro
@lfcbpro 7 месяцев назад
True, but if you had a large enough (theoretically) piece of paper, it would end up virtually in a point, but it could go the distance?? That is kinda how I saw it.
@LisaBeta-42
@LisaBeta-42 5 месяцев назад
would be nice to reverse the process - starting with the size of a postcard (at the 42-times stacked tower to the moon: 40 times = a normal sheet of printing paper) - 37 times is 1 meter squared and then you may use the chessboard analogy with the grains of rice (doubeling up on every square) - a stack of 32 - takes more than a squared kilometer - ending in the whole surface of the moon AND that of Africa to get the amount of ground required for your folding up game
@randallmacdonald4851
@randallmacdonald4851 7 месяцев назад
This is the first time in my life that I got to laugh at a math feature: "... since all numbers can be squared, just remove all ..." of them. Something funny usually involves a surprise. Simon pointed out that math reasoning and it hit me hard as very funny. That was so awesome!
@randomperson5579
@randomperson5579 7 месяцев назад
well if you had an infinite number of $1 or $20 bills both would cause infinite inflation, making your currency worthless, another fun math fact: any number to the power of 5 (x^5) will share the same ones/unit digit as the original number (eg. 17^5 the ones digit is a 7, 103^5, the ones digit is a 3)
@astralb.2647
@astralb.2647 7 месяцев назад
This video was the perfect way to shut off my brain by being so confusing after having a real shitty day that left me devastated. Now I'm just empty and confused. 10/10
@jonathanschrader7881
@jonathanschrader7881 7 месяцев назад
I am pretty amazed at.999 is equal to 1... I am definitely going to hold on to that one
@klocugh12
@klocugh12 7 месяцев назад
.999 is not equal to 1. .999... is. Key is INFINITE number of decimal places. Easy proof is for sum of infinite geometric series with first term 0.9 and ratio 0.1 a1/(1 - |r|) = 0.9/(1-0.1) = 0.9/0.9 = 1
@awAtercoLorstaIn.
@awAtercoLorstaIn. 7 месяцев назад
I usually love things like this, and I accept that it’s algebraically possible to prove. I’m even okay with the logic. But an infinite number is essentially undefined; it’s impossible to assign it a finite value without mutating it somehow. We can use a finite number to represent it, as we would in programming, but again, we’re only doing that so our program doesn’t run forever. Infinite $1 bills = infinite $20 bills? Of course! An undefined amount of a defined value is equal to an undefined amount of any other value. The denomination is just some agreed-upon unit of measure and has nothing to do with the value.
@lfcbpro
@lfcbpro 7 месяцев назад
@@awAtercoLorstaIn. Agreed, these are all based on actually putting a quantity, at some point on infinity, which is not possible.
@gordonbrinkmann
@gordonbrinkmann 6 месяцев назад
Actually, this was not very amazing to me since I learned that in school and it seemed absolutely logical to me. We learned that by multiplying and subtracting (not going into detail here but like Simon shows first with the 9 = 9x result) how to convert any given recurring number into a fractional number with finite numerator and denominator.
@lfcbpro
@lfcbpro 5 месяцев назад
@geraldsmith6225 no it doesn't, lol 1.00000000 is 1 .999999999 is .999999999 :)))
@rochinhaufc
@rochinhaufc 7 месяцев назад
What happened to nordVPN?
@reidthompson6272
@reidthompson6272 3 месяца назад
Outbid
@extra-dry
@extra-dry 4 месяца назад
When I was in third grade, we had this very challenge. The teacher asked if we thought any 2 of us, in a class of 31, had the same birthday. Not only were there two, but 3 of us, all sitting next to eachother, were born on the same day. Not only that, my mother and my classmates mother, were in a joint room at the hospital. The third one of us, was born 3 hours eariler, and his mom had been moved to another room. More than 65 years later, we're still friends.
@OlafReuh
@OlafReuh 4 месяца назад
What happened to me is that I had to choose a singer for an opera and two ladies went to audition. So in the room we were four persons : these two ladies, the pianist and me (I'm a singer too). And it turned out that not only the two ladies were born on the exact same day and year (although not being related) but they also had the same birthday as me. So it was a 3 out of 4 with the same birthday and the same profession ! What are the odds...
@dkwannabe
@dkwannabe 3 месяца назад
Being born in the same hostpital has way different math than the shared birthday. There is a huge chance of sharing hospitals (or schools, for that matter) because...geography. It's a lot more likely in school that you have a classmate born at the same hospital as you than one 10,000 miles away since most kids in your class will be from the same neighborhood - it's probably more than a 99% chance (I'm not doing the math).
@extra-dry
@extra-dry 3 месяца назад
@@dkwannabe the point was, in a class of 31 students, 3 with same day birthday, randomly sitting side by side, strangers to each other, born within hours of each other, same hospital, sitting in birth order. There were no other pairs of birthdays in class
@dkwannabe
@dkwannabe 3 месяца назад
@@extra-dry I understood the point just fine, and all of it is pretty cool and all, except the same hospital part. In a community setting it would be extremely likely that 20 or more of your 31 were born in the same hospital.
@bioLarzen
@bioLarzen 7 месяцев назад
The 0.9 rec = 1 and the 1 dollar bills v 20 dollar bills ones handsomely illustrate how the common guy is simply unable to truly grasp the notion of infinity. (and I don't mean it as a criticism - it's just that infinity is really, really hard to understand, no matter how smart one is.)
@Iplayforfood88
@Iplayforfood88 3 месяца назад
Algebra exam questions for Euclidean and Modular maths, a nightmare to remember in addition to formulas for cryptographic functions.
@HarryWHill-GA
@HarryWHill-GA 6 месяцев назад
Two plus two equals five, for large values of two and small values of five.
@danielversion1.035
@danielversion1.035 7 месяцев назад
Never forget that human definition is not a guaranteed reflection of reality.
@dbasher9974
@dbasher9974 7 месяцев назад
It might sound stupid but is the $1 and $20 infinity thing the same sort of idea as asking “what’s heavier, a tonne of feathers or a tonne of bricks?”. You might have more feathers and you might imagine as bricks being heavier but in the defined region of numbers, they’re the same?
@mattyt1961
@mattyt1961 7 месяцев назад
a pedant (me :)) would argue that 1 tonne of feathers is still heavier since you would need a container to hold them on the scale. So you would have 1 tonne of feathers + a container. 1 tonne of bricks can be stacked so they don't need a container or any strapping so it is only 1 tonne.
@lfcbpro
@lfcbpro 7 месяцев назад
@@mattyt1961Who says they have to be in a container? A large enough scale (bear in my we are talking hypothetically) could measure both. I raise your pedantry :))))
@mattyt1961
@mattyt1961 7 месяцев назад
@@lfcbpro 🖖I salute you fellow pedant :) well played
@dbasher9974
@dbasher9974 6 месяцев назад
@@mattyt1961 I was going to say, another pedant (me😉) would argue that would then be the tonne (X) + the weight of a container to contain them (Y), where as I was just talking about the weight of X. Valuable observation though fellow pedant 🫡
@danidavis7912
@danidavis7912 7 месяцев назад
When I was 11, we lived next door to a family whose oldest daughter was my exact age. We were even born during the same hour although I was born a state away. Her name was Caroline. My first real crush....grin....
@RevJR
@RevJR 7 месяцев назад
Ah boy, I just realized I haven't watched fact boy in like a few months because youtube stopped recommending him at some point. Now fact boy is back. Grace me with facts, O wise fact boy.
@freddiemercury2075
@freddiemercury2075 6 месяцев назад
I love numbers and that's the reason I don't have much friends, folks were out drinking and partying on Friday nights while I was at home solving math problems, coming up with formulas and discovering the relationship between numbers.
@twostate7822
@twostate7822 4 месяца назад
Same birthday problem. Take 2 people. Look at one of the people. The odds of not having a matching birthday is 364/365 (not counting leap years). For 3 people, the calculation is (364/365) x (363/365). For 4 people, (364/365) x (363/365) x (362/365), etc. When the chance of not having a matching birthday reaches .5, then the chance of having a matching birthday exceeds 50%.
@AvailableUniverse
@AvailableUniverse 3 месяца назад
I know this is 4 months old at this point. But I kid you not, in college was assigned into a group of 4 people with one person never showing up. We realized our emails ended in the same number, and found out we shared the same birthday. It was at that moment probability solidified for me lol.
@GimpyChinaman
@GimpyChinaman 7 месяцев назад
With regard to your prrof that .9 repeating equals 1 and the difference between infinite $1 and infinite $100 bills, by coincidence Numberphile posted the larest in their series of -1/12 videos debating that equavalent and discussing the problems with infinity.
@varenoftatooine2393
@varenoftatooine2393 3 месяца назад
14:25 Instructions unclear: went bankrupt trying to buy infinite balls.
@paulquaife7974
@paulquaife7974 4 месяца назад
Douglas Adams knew what he was talking about then
@jandecoleman1
@jandecoleman1 7 месяцев назад
But numbers can lie. I'll explain: if 3 people get a hotel room, that is $25 a night. However, because $25 can not be divided evenly, each person pays $10 each, therefore paying $30. Now, because the room was overpaid, the manager tells the bellhop to take the extra $5 to the room. When the bellhop gets to the room and the guests can't divide the $5 evenly, they each take $1 back and tip the bellhop $2. Therefore, the three guests paid $9 each. Well, $9 * 3 = $27, plus the $2 tip equals $29, so where is the 30th dollar?
@ThatWriterKevin
@ThatWriterKevin 7 месяцев назад
First of all, they're incorrectly charged $30. They don't just voluntarily give ever money. But regardless, math isn't lying, YOU'RE lying. You are correct, they all paid $9 each: $25 to the hotel and $2 to the bellhop which equals $27. The other $3 are the three dollars they were given back by the bellhop.
@jandecoleman1
@jandecoleman1 7 месяцев назад
@ThatWriterKevin You are totally missing my point. Ever wonder how some accountants get away with stealing millions of dollars for years or how some rich people hide money from the government? They use this math to hide the money, use the same story but add a couple of zeros behind those numbers. The "books" will look correct on the bottom line with a cursory look and it is not until you dig into the numbers to find the truth. My point was to show that numbers can very easily lie to you, I am just demonstrating it using very simple math, to make it easy for the average person to understand.
@jacara1981
@jacara1981 7 месяцев назад
Did you know if you had enough Cotton candy to completely fill the Solar System, it would have so much mass it would collapse into a blackhole?
@backwashjoe7864
@backwashjoe7864 7 месяцев назад
Is that filling the Solar System to the orbit of Neptune, or Pluto, or the Kuiper Belt, or the Oort Cloud, or other distance?
@jacara1981
@jacara1981 7 месяцев назад
@@backwashjoe7864 you know I don't remember, I think it was out to the Kuipler belt.
@mediocreguitar5411
@mediocreguitar5411 6 месяцев назад
Something tells me that would be true of many things. The universe is mostly empty.
@michaelhughes5414
@michaelhughes5414 4 месяца назад
I'm loving the new pronunciation of arithmetic - arithmatic.
@petergroves3153
@petergroves3153 3 месяца назад
Did nobody notice that he made a dog's breakfast of Euclid's 5th axiom by omitting the first 'not'? I listened to it, and thought 'that makes no sense at all!'
@roland4553
@roland4553 5 месяцев назад
So what are the chances that I have never had the same birthday as anyone else in a every class I have ever had
@timothymachen687
@timothymachen687 7 месяцев назад
Fantastic analysis, and journalism! Keep up the excellent work!
@Weaver_Games
@Weaver_Games 2 месяца назад
I remember in my stats class of about 50 people the prof told us about the birthday problem and made us all say our birthday until someone else matched but no one had the same one in the whole class lol. It did not prove his point.
@JamesFromTexas
@JamesFromTexas 7 месяцев назад
Here's a crazy idea: infinite $1 USD bills devalue all USD bills to worthlessness or 0, if you will.
@MrMancreatedgod
@MrMancreatedgod 7 месяцев назад
Not for a long while genius
@MrMancreatedgod
@MrMancreatedgod 7 месяцев назад
Do you know what the federal reserve is? There are many many people light-years ahead of you.
@JamesFromTexas
@JamesFromTexas 7 месяцев назад
What I'm saying if it was public knowledge that one person or entity, aside from the US government, had access to infinite $1 bills, all current bills lose their value immediately.
@ItsWillLee
@ItsWillLee 7 месяцев назад
My grandmother had 14 children 8 girls, 6 boys. 3 girls were born on the same day. I have 75 cousins as a result, lol, yet none of us have the same birthday. 🤷‍♂️
@norwoodwildlife9849
@norwoodwildlife9849 7 месяцев назад
Ask a person if they would rather have a million dollars or double a penny every day for 30 days. The latter comes out to over 5 million dollars
@JohnSmith-nx7zj
@JohnSmith-nx7zj 4 месяца назад
The latter comes to over $10m. That being said, whilst from a mathematical standpoint you should take the doubling penny, if the million dollars was on the table in cash right now I’d still take the million. I’d probably just expect the person to stop honouring the doubling penny thing after a week or two.
@cs_kevin
@cs_kevin 6 месяцев назад
I'd say infinite $20 bills is more valuable than infinite $1 bills as they'd be much more convenient to use.
@albondigas9764
@albondigas9764 3 месяца назад
Never had a class where two people shared the same birthday. Had 30 people on average in my class. Wonder what the odds are.
@j_vasey
@j_vasey 7 месяцев назад
I’ve no issue with infinites being equal, I do take issue with 1 and not 1 being equal, unless being aware that recurring is infinite which then negates my argument. Ahh maths it can be so painful but great.
@lorenzbroll101
@lorenzbroll101 7 месяцев назад
LOL. There is a 50% chance of ANY number of random people to have the same birthday, on the exact same as there is a 50% chance of the same 50% NOT to have a birthday on the same date. It's a matter how you interpretate the question.
@LordDustinDeWynd
@LordDustinDeWynd 7 месяцев назад
With Infinity, numbers become objects instead of values.
@midwestweirdo666
@midwestweirdo666 7 месяцев назад
Did they make a fairly odd parents reference with 2+2=fish?
@alanhindmarch4483
@alanhindmarch4483 7 месяцев назад
Talking about Birthdays. On my next Birthday I will celebrate my 70th Birthday, now comes the BIG BUT. If I celebrate my birthday the day before I will be 70 years old. The actual day I celebrate my birthday, the date on which I was born, I will actually be 70years and 1 Day Old.
@QBCPerdition
@QBCPerdition 7 месяцев назад
Depends on the time you were born. You reach exactly 70 years at the time you were born on your birthday.
@WombatMan64
@WombatMan64 4 месяца назад
I do love that ball one. It's of course true, but the fact that brings it back to intuitiveness is in reality you cannot extend it out to an infinite number of balls in any finite setting. So no matter how far you go there will always be more balls going in than coming out.
@Scott-i9v2s
@Scott-i9v2s 3 месяца назад
Another way to show that "1 = 0.999..." is True that "1" and "0.999..." are simply different *representations* of the exact-same *value* . Its *proof* is that thing about no real number being able to fit between "1" and "0.999...".
@patriciaposthumus6684
@patriciaposthumus6684 7 месяцев назад
The birthday paradox: I personally know 2 other people with my birthday. I went to school with one and we are the same age. The other I went to church with and she is 20 yrs younger than me. I always thought that it was cool.
@jeffcolorado
@jeffcolorado 5 месяцев назад
A birthday paradox story: I once attended a 3 day seminar, and there were 28 of us in the room. I mentioned the odds were good at least two of us shared a birth date. None of us did. When we got to class the next day, one attendee told us he'd gone to a bar the previous night and got in a discussion about the birthday paradox. He said it was him and two other people at the bar discussing this. As they talked, it turned out the other two people sitting at the bar with him did share a birthday! The group was amazed and we all had a good laugh over it.
@paulmarc-aurele5508
@paulmarc-aurele5508 4 месяца назад
The birthday math may not work in a scenario like this. Take 3650 people in that number 10 people each would have the same birthday and randomly have them join groups of 23, it’s unlikely that 50% of the groups would have shared birthdays.
@DrBarbequeSauce
@DrBarbequeSauce 2 месяца назад
To drive home the point of how fast exponential growth gets ridiculous, doubling from 1 only 5 times gets you 32, 10 times gets you to 1,024, 20 times gives you 1,048,576 and 42 times is 1,099,511,627,776
@gregorybarnard5593
@gregorybarnard5593 7 месяцев назад
You misspoke multiple times during this video. Example 1) "For any given point NOT on a given line..." Example 2) numbers between 1 and 2 aren't 0.1, 0.11
@nmklpkjlftmch
@nmklpkjlftmch 5 месяцев назад
Example 1 had me confused and had me assuming that the one line parallel to it was the line itself, which made no sense. I came into the comments to see if anyone else had noticed example 2 at 10:40
@Y0d99
@Y0d99 4 месяца назад
Folding a paper 103 times would be taller than the observable universe
@Erowid801
@Erowid801 7 месяцев назад
What are the chances that 365 random people don't share a birthday?
@TheKrispyfort
@TheKrispyfort 7 месяцев назад
One I don't know what it's 1 over (1/?). But it's still 1
@LisaBeta-42
@LisaBeta-42 5 месяцев назад
@@TheKrispyfort no way, if you invite twins
@johannesvanderhorst9778
@johannesvanderhorst9778 5 месяцев назад
The chances are 365!/(365^365). This is close to e^(-365), what is smaller than 10^-150.
@mikeh2960
@mikeh2960 5 месяцев назад
The moment I saw “vertical paradox” I had to stop watching. The word you’re looking for is “veridical.” The paradox isn’t standing up
@jacksonhorrocks4281
@jacksonhorrocks4281 7 месяцев назад
With infinite bills, the 1s and 20s can only appear identical if you refuse to explain how each infinite quantity is being generated. Also, you can't actually have infinite bills... infinite isn't a quantity; it's just the term we use for the concept of being unquantifiable due to endless expansion
@VincentLauria6
@VincentLauria6 4 месяца назад
If you’re doubling the thickness of paper by folding it, would it also not be possible to due this by merely placing a second sheet of paper on top of the first? Then you continue to add pieces on top, twice as many as the previous stack. 1) 2 2) 4 3) 8 4) 16 5) 32 6) 64 7) 128 8) 256 9) 512 (1 ream of paper) 10) 1,024 11) 2,048 12) 4,096 13) 8,192 14) 16,384 15) 32,768 16) 65,536 17) 131,072 18) 262,144 19) 524,288 20) 1,048,576 21) 2,097,152 22) 4,194,304 23) 8,388,608 24) 16,777,216 25) 33,554,432 26) 67,108,864 27) 134,217,728 28) 268,435,456 29) 536,870,912 30) 1,073,741,824 31) 2,147,483,648 32) 4,294,967,296 33) 9,589,934,592 34) 19,179,869,184 35) 38,359,738,368 36) 76,718,476,736 37) 153,436,953,472 38) 306,873,906,944 39) 613,747,813,888 40) 1,227,495,627,776 41) 2,454,991,255,552 42) 4,909,982,511,104 Sheets of paper. 1 sheet of paper is given as 0.1 mm = 490,998,251,110.4 mm = 490,998,251.1104 m = 490,998.2511104 km
@ishalef3933
@ishalef3933 7 месяцев назад
The folding paper doesn't reach the moon. The weight of the paper of itself would squish it to the larger area rather than increase the height at the plastic deformation strength of the used paper. If i recall correctly Mythbusters demonstrated that
@kirkistief
@kirkistief Месяц назад
I understood the infinite ones and infinite twenties equation immediately. If you have a wallet that never runs out of ones and a wallet that never runs out of twenties they both have the same value because you would never run out of money. The monetary value of the individual bill is an illusion because both bills represent a monetary value and both are infinite so both represent an infinite monetary value. Of course the more of your infinite bills you spend the more you hyper-inflate the currency and wreck the economy causing your infinite wallets to just be a never ending supply of green paper.
@djdrack4681
@djdrack4681 7 месяцев назад
Simon: [in title]. "Math" Simian: [Simon's simpler Bro]. "Maths" Nice try, I can tell these twins apart . ;)
@extra-dry
@extra-dry 3 месяца назад
There are 21 hospitals in the city, 18 of which were running in 1949 when I was born
@CaseyBDook
@CaseyBDook 7 месяцев назад
All of this makes sense to me. Is there something wrong with me?
@Yupppi
@Yupppi 7 месяцев назад
If this is yet another video saying infinite sum is -1/12... It's good to remind yourself that the probability of 50% for two people of 23 having the same birthday does not mean that if you have 23 people, there will be two with the same birthday. It means that if you enter a 23 people room, you can flip a coin to see if there's two people with the same birthday. And you can still flip a coin many times in a row without getting one side. And as far as I understand, you have to assume they are randomly spread, not that there's a pattern that affects where the birthdays are. Note that it was only 379 pages because they used the extremely dense notation that was "humanly incomprehensible" so they wouldn't have to write rows upon rows of text for each expression. With $1 and $20 it's also good to remember that there in fact is different size infinities that you can clearly distinguish as one infinity being larger than the other. Even though infinities technically can't be compared when they hit infinity. Like 1+2+3+... Vs 1*2*3*... One grows much much faster.
@roberttapper3296
@roberttapper3296 7 месяцев назад
The 1 and 0.999... being the same is obviously brilliant
@chrislong3938
@chrislong3938 6 месяцев назад
In my Battery in the Army, we had five of us with the same birthday. A battery, like a company, is about 100 people, so I guess it's true!
@brandonheath6713
@brandonheath6713 Месяц назад
1/3 = 0.99... = 1 is an illusion. It's not a real problem. It's an artifact of using the Base10 number system and it does not happen in other Bases. Take Base3 for example, where 1/3( or 0.1₃ in base 3) x 3 (or 10₃ in base 3) = 1.0₃. this is because in Base3 numbers are represented using only 0, 1, and 2 with the position of the number representing the power of 3. So 1/3x3 gets represented as 0.1₃ x 10₃ = 1 because 0.1x10=1. The reason for this is that Base3 represents numbers using 0, 1, and 2 with the place of the number representing a power of 3. So 1.0 = 3⁰. Similarly 10.0 = 3¹. This is why we multiply 0.1₃ x 10₃ in base 3 to represent 1/3 x 3. The point is 99% of the "contradictions" or "paradoxes" in mathematics are just a consequence of the base you're using, not a problem with the axioms of the system in general.
@CemKalyoncu
@CemKalyoncu 7 месяцев назад
This is the tip of the iceberg. Math hides so many cool facts.
@BrianHartman
@BrianHartman 7 месяцев назад
The infinite pile of $1 bills and the infinite pile of $20 bills are the same *size*, but not the same *value*. The only way the piles would be different sizes is if they were different orders of infinity. By saying you're bundling up the $1 bills in piles of 20 and matching them against the single $20 bills, you're creating infinities of different sizes. You're not matching them up 1 to 1. You can't have it both ways. Either you're dealing with different sizes of infinity, or the infinities are the same size and the $20s are worth 20 times more.
@simonwillover4175
@simonwillover4175 4 месяца назад
I wish my arms were long enough to fold this paper 42 times. If only I could reach that weird white circle in the sky!
@Scott-i9v2s
@Scott-i9v2s 3 месяца назад
That weird white circle that encloses an image of a long-eared rabbit? 🙂
@RayAkuma
@RayAkuma 6 месяцев назад
42, the answer to everything.
@yourikhan4425
@yourikhan4425 7 месяцев назад
I'm mostly curious about where exactly do 'belief' matters in mathematics. A proof of all you need.
@james9609
@james9609 4 месяца назад
As I was going through primary and secondary school years (UK), not one pupil of hundreds shared my birthday. But I know of 4 close people completely unknown to each other sharing a 6th Feb birthday.
@roberthaggerty6619
@roberthaggerty6619 4 месяца назад
Problem with the paper folding is you would have to start with a piece of paper 400000 Km long as each fold would half the length, and it would end up 0.1mm wide. Approx.
@Al.j.Vasquez
@Al.j.Vasquez 4 месяца назад
The infinite 20$ and 1$ bills was the easiest to understand, no controversy whatsoever.
@dannymorgan2654
@dannymorgan2654 7 месяцев назад
In primary school, out of a class of 28ish kids, three of us shared a birthday. Me and two others. What are those odds?
@chrisdeanndavison3626
@chrisdeanndavison3626 4 месяца назад
14:35 Folding Paper to the Moon reminds me of a something my grandpa would propose to people. He'd say, "I need you to work for 30 days. I'll pay you a penny on the first day and double it each day after. When can you start?" Around the second week, you'd finally make a normal days pay, but after that it really adds up. If you do the math, you end up with several million dollars at the end of 30 days.
@mastercheifslayer300
@mastercheifslayer300 4 месяца назад
I remember in middle school, not only did I share a birthday with one of my classmates, but we also had identical twins in the classrooms
@boomjykeo2
@boomjykeo2 7 месяцев назад
Simon: “Euclid…” Me, a Sleep Token fan: *uncontrollable sobbing*
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