Insane Math Facts That You Won’t Believe are True
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- Опубликовано: 28 сен 2024
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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
Would infinity divided by infinity equal Pi?
Is Surfshark better than Nord-VPN?
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.
Math
If you want to witness exponential growth, just take out a payday loan...
I did thumbs you up but unfortunately I think you're missing your target audience
Or watch Nancy Pelosi’s stock portfolio 😂
@@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 😄
@@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?
@@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.
The $1 and $20 problem reminds me of this question: what weighs more - a ton of feathers or a ton of bricks?
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.
@@halifornia2001Nice.
What are the bricks made of? 😉
@@BullScrapPracEff
Feathers.
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.
I'm not greedy, I'll take an infinite amount of pennies.
You'll be fairly unpopular at the bank or the shops. 😂🖖
The copper alone would be worth it.
I'll bet I can spend all of my infinite nickels faster
Gonna see you spend hours at that green sorting machine.
@@gungasc lol 30% of the infinite pennies will be spit back out
I like that there are distinct types of infinities, with distinct characteristics. The realms of pure math are positively wild.
To infinity… and beyond!
@@gregbors8364Sorry... Which infinity exactly?
You can imagine anything you like to be true but here in the real world infinity dose not exist.
@@facetubetwit1444 Are you trying to argue some sort of philosophical point or are you just trolling? Uninspiring, if the latter.
@@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.
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.
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
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.
@@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
@@n.v.9000 Seems just a bit extreme, but favorable. Did it help, or did you end up in detention anyway? Appreciate the share.
@@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
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.
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.
Same.
I appreciate the 2+2=Fish Fairly Odd Parents reference.
Thank you.. I thought I was the only one who caught that one... 😂😂😂
Thought it was from The Big Short.
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.
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.
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!
That must have been one short horoscope reading!
Astrology at school? Seriously?
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.
I had a teacher talk about .999...= 1 over 50 years ago and she used the 'fraction' example to do it, too, man!
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.
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.
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.
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
My world has just been shattered: never in my wildest dream that I think 0.1 was between one and two!
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.
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
@@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.
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.
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.
@@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.
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.
Simon Whistler could read the ingredients on the back of my shampoo bottle and I’d still be captivated.
I've been cursed/blessed with a "math brain"
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
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...
Tax returns are basically adding and subtracting numbers. So not high school math but primary school math.😉
If you can't do your taxes it's not the because of the education system but just because you're stupid
@@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.
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)
I am pretty amazed at.999 is equal to 1... I am definitely going to hold on to that one
.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
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.
@@awAtercoLorstaIn. Agreed, these are all based on actually putting a quantity, at some point on infinity, which is not possible.
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.
@geraldsmith6225 no it doesn't, lol
1.00000000 is 1
.999999999 is .999999999 :)))
What happened to nordVPN?
Outbid
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.
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.)
Algebra exam questions for Euclidean and Modular maths, a nightmare to remember in addition to formulas for cryptographic functions.
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....
Regarding an infinite number of $1 bills versus an infinite number $20 bills just give me a pre paid debit card with either one.
Fantastic analysis, and journalism! Keep up the excellent work!
There are three kinds of people in the world. Those who understand math and those who don't.
There are 10 types of people in this world, those who understand binary and those who don't.
There are 10 kinds of people who understand binary, those that do and those that don't
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?
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.
@@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 :))))
@@lfcbpro 🖖I salute you fellow pedant :) well played
@@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 🫡
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.
I'd take a tonne of gold - it's a cube of only 37 cm 🤭
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.
My cousin and my younger brother share a birthday, 2 years apart, and i had a friend at college who i met during orientation week (ie both of us were freshers) who was exactly 2 years younger than me. Add to the first part that my aunt's birthday was the day before my brother and cousin's giving our family 3 birthdays in 2 days, and we definitely start to buck the trends
Last semester I had a student in one of my classes whose birthday is the same as mine (not the year, obviously, I teach middle school music). There were 12 students, plus me, so only 13 people and we had a match. I also have a couple band students who share birthdays.
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.
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...
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).
@@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
@@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.
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.
14:25 Instructions unclear: went bankrupt trying to buy infinite balls.
I'm loving the new pronunciation of arithmetic - arithmatic.
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?
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.
@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.
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!'
"math is easy! If you struggle in math it's because your teachers sucked." - college professor who made math easy.
Did they make a fairly odd parents reference with 2+2=fish?
In high school I had two class colleagues who not only shared the same birthday (even the same year, obviously, same class), but even the same name. First AND last. And no, they weren't related. Only difference was that one of them also had a second first name.
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.
My sister had the same birthday as our dad, and one of my 11 grandkids has my birthday. And of my 11 grandkids, there are only 9 different birthdays. Well, two sets of twins.
Two plus two equals five, for large values of two and small values of five.
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.
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. 🤷♂️
The folding paper one. Exponential growth concept was explained to me when I was a kid using pennies. Get a job for one month (30 days). Convince your employer to pay you $0.01 on Day 1, $0.02 on Day 2, $0.04 on Day 3....do that up to day 30. How much money do you receive on Day 30? Same as the paper folding just using a different medium.
There is one about rice and a chessboard,
long story short, guy tells King, if I beat you, you give me a grain of rice on the first square of the board, and two on the second, four on the third and so on...... come the last square on the board, (64th square) it was more rice than in the whole kingdom, :P
Simon: “Euclid…”
Me, a Sleep Token fan: *uncontrollable sobbing*
Never had a class where two people shared the same birthday. Had 30 people on average in my class. Wonder what the odds are.
Douglas Adams knew what he was talking about then
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!
When it comes to exponential growth i like the chess method. A man was offered whatever he wanted from an emperor and he said i just want a chess board and on the first square 1 grain of rice, on the second square 2 grains of rice, on the 3. Square 4 grains and so forth untill the 64 squares are filled. But before they could reach the end the world would run out of rice 😂
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.
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?
Is that filling the Solar System to the orbit of Neptune, or Pluto, or the Kuiper Belt, or the Oort Cloud, or other distance?
@@backwashjoe7864 you know I don't remember, I think it was out to the Kuipler belt.
Something tells me that would be true of many things. The universe is mostly empty.
On the first shift of my first proper job, I was partnered with someone with the same birthday. My next job was a live in job and my roommate also had the same birthday.
I found out I shared a birthday with a shipmate after failing a drug test!!!!
The time I almost got busted for smoking weed… turns out to be mistaken identity!!!
Another person had my same initials, same last name, same date of birth, born in the same city & hospital!!!!
The only difference, she was a female, and her SSN & mine were identical up to the last digit!!!!
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
Awesome - now try to calculate the number of possibilities to the order of a deck of cards. It's the factorial of 52. That's 8 followed by 67 zeroes !!! It means that any properly shuffled deck of cards, never gets repeated, ever. Seriously.
I'd say infinite $20 bills is more valuable than infinite $1 bills as they'd be much more convenient to use.
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...".
More maths, please. Or maybe one about the Copernican revolution. When humans started realising reality is counter intuative.
In primary school, out of a class of 28ish kids, three of us shared a birthday. Me and two others. What are those odds?
I'd like to get someone to run the birthday problem practically. Get random groups of people into rooms and record the results. Because pure math and reality don't always jive with each other.
That was what was implied by the classroom bit. If a class's size is roughly 24 kids, and we assume birthday distributions are roughly random, then in about 50% of classes there will be two kids with the same birthday. And in my limited experience, that feels about right. In fact my daughter and one of her classmates apparently have the same birthday.
@@QBCPerdition That's anecdotal evidence. You can predict all you want but until you run the experiment you won't know for sure.
@@baddman69 all I meant was the experiment has been run via class sizes. All you would need is a scientist to get the birthday data and class sizes to run the actual analysis.
@@QBCPerdition It is far easier to do than that. Since we already assumed all days are equally likely to be your birthday, you could write a computer program to randomly pick 23 numbers between 1 and 365 inclusive. Then check if there is any overlap. Repeat it for a million times. In reality some dates are more likely increasing the chance of overlap slightly.
I've seen this done both by Matt Parker, and Stephen Fry (on QI). In QI they got a repeat after 7 people if I remember right, and Matt got a repeat after about 30.
There are 21 hospitals in the city, 18 of which were running in 1949 when I was born
Simon: [in title]. "Math"
Simian: [Simon's simpler Bro]. "Maths"
Nice try, I can tell these twins apart . ;)
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.
Countable infinities.
Sounds like when your kid becomes an adult.
Reflecting back on your child's existence and you realise the countless eternities that fill into an instant
I was just thinking about what you said about money earlier on this day and what has greater value such as 80 quarters of a $ to 20 $which would actually have greater value
I been in a lot of different classes but never have there been two classmates that shared the same birthday. How unlucky am I!?
1:03 A "veridical" paradox.
100% on board with the birthday paradox… in my kindergarten class of maybe 20 kids there were 3 of us that had the same birthday.
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
I thought I was going to get bored. I actually enjoyed it!! Thanks!
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
In my elementary school, we not only had 2 people on the same birthday, we had that twice. So 2x2 people... But to be fair, both were twins 😂
Oh and later in a higher school form (German School System), we also had twins... So, it's not wrong...
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.
With Infinity, numbers become objects instead of values.
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
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.
I didn’t share the birthday of anyone in my class…. But I was held back a year in kindergarten cause of ADHD. So yeah, I never matched up 😂
Try either lowering the volume on the background noise or not having it.
12:45 20 kilos of hammers is the same weight as 20 kilos of feathers. It’s the same concept. That’s why $1 bills are the same as $20 bills.
Im not sure how my twin starfishes would mess up the birthday classroom problem...
Mythbusters mentioned woohoo
The infinity thing makes the most sense of all. An infinite amount of anything is the same as an infinite amount of anything else. Imagine an infinite amount of feathers. It will weigh the same as an infinite amount of bricks.
I once had a dispute with a math teacher at school. He insisted that division should never result in a remainder. I asked him to divide 2 by 3. He called me a smart-a$$! 😏
Monty Hall Paradox would also be good one. Pick a gate out of 3. One has car, 2 have goats. Hosts reveals one of the gates you didn't pick - it has a goat. Host also allows you to switch or keep current one. What do you choose?
I know you are supposed to switch, but DAMN, my brain still won't let me figure this one out, haha.
Damn probabilities :)))) But yeah, this is a great one.
@@lfcbpro a way I grasped this is: you make original choice with probability 1/3. Learning that other gate had goat is information you didn't have when you first picked. So:
1. Switching is no longer same as blind picking the gate.
2. But keeping original choice still is. You cannot retroactively apply new information to up its probability. It's still 1/3 just like before. But now there are only 2 options, so switched gate had to be bumped from blind 1/3 to 2/3 due to no longer being blind pick.
Ha! You assume I'd rather have a car than a goat! :)
My mother-in-law and I shared the same birthday, that always blew my mind, I never met anyone who had the same birthday as me other than her.
But, do you know the birthday of everyone you've met? Probably not. So you likely do share a birthday with several people you've met; you just don't realize it
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!
That weird white circle that encloses an image of a long-eared rabbit? 🙂
LoL. there are 22 of us in our extended family (including wives and kids) and yes, two of us have the same brithday
Nearly all of this is a problem only on paper. when taken to the physical world, it works out.
Also, infinity is a concept, not a reality. You cannot remove from or add to infinity or it breaks.
In my class in elementary school, there was 16 of us, and I shared a birthday with my classmate
42, the answer to everything.
what about odds for two people being born on the exact same day? i once met and dated a girl that was 9 hours younger than me. i was commonly pulling out the, "i'm older so......" card. lol.
The 1 and 0.999... being the same is obviously brilliant
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
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
Leap Day baby here. Don’t discard Leap Year. 😭. I love watching people do leap year math. you should do a video about it!
This year (2024) is a leap year, so it should be possible to leap to the Moon
on just 43 sheets of paper !
I can't be bothered looking for it, but I remember doing the calculations for the birthday paradox including Feb 29 a number of years back.
It's still 23 people to pass 50% chance of a shared birthday; however it's very unlikely for that shared birthday to actually be the 29th of Feb.
@@WombatMan64 and yet when i was in high school, i usually sat next to a guy who was also a leap day baby, both born at a hospital 140 miles away hours apart and ended up in a small school in the desert. only other leap day baby i’ve met
@@Queendaisy76 Unlikely but clearly not impossible :)
I assume you both became pirates and later made friends with the very model of a modern major general?