An infinite number of $1 bills and an infinite number of $20 bills would be worth the same
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Published 2022-10-31
Just Shower Thoughts: just-shower-thoughts.com/post/149064738374/an-infi…
Tumblr blog: popinloopy.tumblr.com/post/149635744662/just-showe…
Tumblr re-blog: at.tumblr.com/curtdogg/popinloopy-just-shower-thou…
reddit post: www.reddit.com/r/meirl/comments/y5ifrs/meirl/
Limmy's Show: Whats heavier a kilogram of steel or a kilogram of feathers
• Limmys Show: Whats heavier a kilogram...
Check out Limmy on twitch: www.twitch.tv/limmy
Vsauce from 2015: The Banach–Tarski Paradox
• The Banach–Tarski Paradox
Vsauce from 2016: How To Count Past Infinity
• How To Count Past Infinity
Veritasium from 2021: How An Infinite Hotel Ran Out Of Room
• How An Infinite Hotel Ran Out Of Room
Numberphile from 2014: Infinite Fractions
• Infinite Fractions - Numberphile
Huge thanks to my Patreon supporters who funded those two giant piles of cash. Support me and help me make more ridiculous videos! www.patreon.com/standupmaths
CORRECTIONS
- Yes, I put in a second ball numbered 13. I'm going to claim that was on purpose. Spoooooky 13.
- Let me know if you spot anything else!
Filming and editing by Alex Genn-Bash
Industry-leading post production and VFX by Alex Genn-Bash
Written and performed by Matt Parker
Voices by Gemma Arrowsmith and Tom Crowley.
Music by Howard Carter
Design by Simon Wright and Adam Robinson
MATT PARKER: Stand-up Mathematician
Website: standupmaths.com/
US book: www.penguinrandomhouse.com/books/610964/humble-pi-…
UK book: mathsgear.co.uk/collections/books/products/humble-…
All Comments (21)
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An infinite number of mathematicians walk into a bar. First orders a beer, second orders half a beer, third orders a quarter. Bartender pours two beers and says, "y'all should really know your limit"
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Mad props to whoever built the table capable of holding two infinite stacks of bills.
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"Infinity is not a process where you count and count and count and count and you eventually get there, it's a process of looking at all of it at the same time." is the best explanation of why infinity doesn't work like it feels like it should that I have heard in 38 years.
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The hardest thing about having these two piles is actually laundering the money
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I respect the editor for spending all that time rotoscoping those piles.
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Hi Matt, I'm a bit confused. When you stand up and walk towards the door I can see the top of the infinite stacks of bills. Since you tower over them, does that mean that you are infinitely tall?
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The biggest problem here is not that people don't remember details, it's that they will still confidently state something based on the thing they don't even remember.
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I tried to make a stack of infinite $1 bills and another of infinite $20 bills but I only had 5 of each. So to round them off I just wrote "IOU infinite $1" and "IOU infinite $20" on two pieces of paper and put them next to each pile. Thing is, my pathetic stacks of bills looked, well, pathetic, so I took the $1s and $5s back, just leaving the two pieces of paper. After all, it amounts to the same, right? Thing is, now I feel like I gained $30 somehow, so I bought a big bucket of fried chicken. Win, win, I feel.
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The problem with the Hilbert Hotel is that to get a room at short notice you may have to bribe an infinite number of desk clerks - and you better have an infinite stack of $20s because there's no way these guys are gonna be happy with singles.
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The whole time I was worried about Matt's safety, if he had knocked over one of the stacks, he would have been buried in an infinite pile of bank notes 😲😵💀
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An infinite number of days is as long as infinite number of hours. But I would still pick the twenties, since they're are more convenient to use (which matters becouse I will be able to spend only a finite amount)
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An infinite number of mathematicians walk into a bar, the first orders one beer , the second orders 2 beers, the third orders 3 beers and so on. The bartender laughs and pours -1/12 beers.
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The comments have real "1 kg of steel IS heavier than 1 kg of feathers." type of energy.
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If a number said "I can't even" then it's definitely an odd number
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To be fair, this entire video could just be "an infinite number of bills leads to infinite inflation which leads to all the bills being worth nothing", but the math angle is great as always!
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I think I know what Matt is gonna do with these infinitely big piles of cash. He still has to pay for renting the infinite hotel for filming
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I'd still take the 20s, since they're easier to buy stuff with. Hopefully it includes an infinite bag of holding.
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When I teach about infinity, I like to point out that most mathematicians don't use "infinity" as a noun very often. They say that sets are infinite, or that a set contains infinitely many elements (adjective and adverb) instead. When they do say "infinity", it can usually be easily rephrased without the use of that word: "This quantity increases to infinity" means "This quantity increases without any upper bound."
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Reminds me of the time I had like $82 in singles to use up, so I brought it when I was hanging out with friend. One of them asked why I had so many singles, and for some reason my brain saw fit to say "I was at the strip club last night, but I think I did it wrong."
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"Nope. They both equal infinity in number. You just have way more single bills than 20 bills." liz-pls, my dear, you are giving me a stroke