The Infinite Hotel Paradox - Jeff Dekofsky - TED-Ed


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Can you solve the three gods riddle? - Alex Gendler 04:54
Can you solve the three gods riddle? - Alex Gendler
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View full lesson: http://ed.ted.com/lessons/can-you-solve-the-three-gods-riddle-alex-gendler You and your team have crash-landed on an ancient planet. Can you appease the three alien overlords who rule it and get your team safely home? Created by logician Raymond Smullyan, and popularized by his colleague George Boolos, this riddle has been called the hardest logic puzzle ever. Alex Gendler shows how to solve it. Lesson by Alex Gendler, animation by Artrake Studio.
Questions No One Knows the Answers to (Full Version) 12:08
Questions No One Knows the Answers to (Full Version)
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In the first of a new TED-Ed series designed to catalyze curiosity, TED Curator Chris Anderson shares his boyhood obsession with quirky questions that seem to have no answers. (Introducing the series "Questions no one knows the answers to") "Questions No One Knows the Answers to" was animated by Andrew Park (http://www.cognitivemedia.co.uk)
How Folding Paper Can Get You to the Moon 03:49
How Folding Paper Can Get You to the Moon
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Can folding a piece of paper 45 times get you to the moon? By seeing what happens when folding just one piece of paper, we see the unbelievable potential of exponential growth. This lesson will leave you wanting to grab a piece of paper to see how many times you can fold it! Lesson by Adrian Paenza, animation by TED-Ed.
Can you solve the egg drop riddle? - Yossi Elran 04:47
Can you solve the egg drop riddle? - Yossi Elran
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Check out our Patreon page: https://www.patreon.com/teded View full lesson: https://ed.ted.com/lessons/can-you-solve-the-egg-drop-riddle-yossi-elran The city has just opened its one-of-a-kind Faberge Egg Museum, with a single egg displayed on each floor of a 100-story building -- and the world’s most notorious jewel thief already has her eyes on the prize. Can you help the thief formulate a plan that will drop the most expensive egg she can get safely into her waiting truck? Yossi Elran shows how. Lesson by Yossi Elran, directed by Artrake Studio. Thank you so much to our patrons for your support! Without you this video would not be possible! Yuh Saito, Sarabeth...
Why don't perpetual motion machines ever work? - Netta Schramm 05:31
Why don't perpetual motion machines ever work? - Netta Schramm
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View full lesson: http://ed.ted.com/lessons/why-don-t-perpetual-motion-machines-ever-work-netta-schramm Perpetual motion machines — devices that can do work indefinitely without any external energy source — have captured many inventors’ imaginations because they could totally transform our relationship with energy. There’s just one problem: they don’t work. Why not? Netta Schramm describes the pitfalls of perpetual motion machines. Lesson by Netta Schramm, animation by TED-Ed.
How to unboil an egg - Eleanor Nelsen 04:10
How to unboil an egg - Eleanor Nelsen
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View full lesson: http://ed.ted.com/lessons/how-to-unboil-an-egg-eleanor-nelsen It’s so obvious that it’s practically proverbial: you can’t unboil an egg. But actually, it turns out that you can -- sort of. Eleanor Nelsen explains the process by which mechanical energy can undo what thermal energy has done. Lesson by Eleanor Nelsen, animation by Provincia Studio.
Top 10 PARADOXES That Will BLOW YOUR MIND 07:41
Top 10 PARADOXES That Will BLOW YOUR MIND
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Welcome to Top10Archive! A paradox is a question or statement that completely goes against logic. From time travel, to the Twin Paradox, we're giving you our picks for the top 10 mind blowing paradoxes. Support us by shopping on Amazon! http://tinyurl.com/njwyzzn 10. The Liars Paradox 9. Grandfather's Axe Paradox (Ship) 8. The Twin Paradox 7. Grandfather Paradox 6. Zeno's Arrow Paradox 5. Hempel's Paradox (The Raven Paradox) 4. Causal Loop Paradox 3. Crocodile Paradox 2. The Friendship Paradox 1. Paradox of Twin Earths References: https://www.youtube.com/watch?v=LLpIMRowndg https://www.youtube.com/watch?v=BNbMvlPc_7U https://www.youtube.com/watch?v=hJ3lxzuI_sc https://www.youtube.com/watch?v=iaSUOFleNRU https://www.youtube.com/watch?v=cGo5rXUAH2o https://www.youtube.com/watch?v=zLBEFvMkQCo https://www.youtube.com/watch?v=QPDMnHspQjk https://www.youtube.com/watch?v=iIBl0Ge7Up4 https://www.youtube.com/watch?v=hWy7iTtfeAs https://www.youtube.com/watch?v=9R5iCBU-p3c https://www.youtube.com/watch?v=RP8uhXuS2n8 https://www.youtube.com/watch?v=W9SemYK9HEw https://www.youtube.com/watch?v=v4IMQgdBML4 https://www.youtube.com/watch?v=3U1NlPZmWS4 https://www.youtube.com/watch?v=fpYPyZpaPdA https://www.youtube.com/watch?v=NkTrG-gpIzE https://www.youtube.com/watch?v=3-oB6RuXecM https://www.youtube.com/watch?v=KPeHFDxKUP4 https://www.youtube.com/watch?v=hTBsZxdXbXE https://www.youtube.com/watch?v=vPrPfkT82Pw https://www.youtube.com/watch?v=-FcK_UiVV40 https://www.youtube.com/watch?v=yrLutFhQLgE https://www.youtube.com/watch?v=7ppM8Lw_wz0 https://www.youtube.com/watch?v=1NnyVc8r2SM https://www.youtube.com/watch?v=6ihMrHXOfE4 https://www.youtube.com/watch?v=f3DBaY0RsxU https://www.youtube.com/watch?v=K83NTmod_Go https://www.youtube.com/watch?v=jHepjitYJmM https://www.youtube.com/watch?v=TkZFuKHXa7w https://www.youtube.com/watch?v=OmI0chqq1M8 Voice Over Talent: https://www.youtube.com/user/thought2
Can you solve the locker riddle? - Lisa Winer 03:50
Can you solve the locker riddle? - Lisa Winer
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View full lesson: http://ed.ted.com/lessons/can-you-solve-the-locker-riddle-lisa-winer Your rich, eccentric uncle just passed away, and you and your 99 nasty relatives have been invited to the reading of his will. He wanted to leave all of his money to you, but he knew that if he did, your relatives would pester you forever. Can you solve the riddle he left for you and get the inheritance? Lisa Winer shows how. Lesson by Lisa Winer, animation by Artrake Studio.
Simpson's Paradox 04:40
Simpson's Paradox
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Thanks to https://brilliant.org/minutephysics for sponsoring this video! This video is about Simpson's paradox, a statistical paradox and ecological fallacy where seemingly contradictory results are implied by a single set of data depending on how it's grouped. The paradox can arise in medical studies, student test scores, and so on. Support MinutePhysics on Patreon! http://www.patreon.com/minutephysics Link to Patreon Supporters: http://www.minutephysics.com/supporters/ REFERENCES: Interactive Simpson’s Paradox Explainer: http://vudlab.com/simpsons/ Wisconsin vs Texas schools: http://educationnext.org/are-wisconsin-schools-better-than-those-in-texas/ Detailed analysis of Wisconsin vs Texas schools: http://iowahawk.typepad.com/iowahawk/2011/03/longhorns-17-badgers-1.html National US Standardized Test Data: https://nces.ed.gov/nationsreportcard/naepdata/report.aspx?p=2-SCI-3-20153,20113,20093-SRPUV-SDRACE-NP,AL,AK,AZ,AR,CA,CO,CT,DE,DC,FL,GA,HI,ID,IL,IN,IA,KS,KY,LA,ME,MD,MA,MI,MN,MS,MO,MT,NE,NV,NH,NJ,NM,NY,NC,ND,OH,OK,OR,PA,RI,SC,SD,TN,TX,UT,VT,VA,WA,WV,WI,WY,DS-MN_MN-Y_J-0-0-5 MinutePhysics is on twitter - @minutephysics And facebook - http://facebook.com/minutephysics And Google+ (does anyone use this any more?) - http://bit.ly/qzEwc6 Minute Physics provides an energetic and entertaining view of...
The Banach–Tarski Paradox 24:14
The Banach–Tarski Paradox
Play Vsauce 14,106,204
Q: "What's an anagram of Banach-Tarski?" A: "Banach-Tarski Banach-Tarski." twitter: https://www.twitter.com/tweetsauce Instagram: http://www.instagram.com/electricpants Kevin’s Field Day video: https://www.youtube.com/watch?v=1zARMZ08ums Field Day: https://www.youtube.com/channel/UCRPktNf5vnBR1J4e7t1RUVg Deep dream animation by http://instagram.com/NaderMakki/ If you like it, you'll love this video also by Nader: https://www.youtube.com/watch?v=fJ9j_z2kXI0 Chocolate illusion: http://mathandmultimedia.com/2014/07/22/explanation-infinite-chocolate-bars/ Chocolate illusion video: https://www.youtube.com/watch?v=dmBsPgPu0Wc related Numberphile videos: sizes of infinity (includes diagonal argument): https://www.youtube.com/watch?v=elvOZm0d4H0 infinity paradoxes: https://www.youtube.com/watch?v=dDl7g_2x74Q Vi Hart on types of infinity: https://www.youtube.com/watch?v=23I5GS4JiDg Countable & uncountable definitions: http://mathinsight.org/definition/uncountable https://en.wikipedia.org/wiki/Countable_set https://en.wikipedia.org/wiki/Uncountable_set Banach-Tarski on wikipedia: https://en.wikipedia.org/wiki/Banach%E2%80%93Tarski_paradox Banach-Tarski proofs: http://math.uchicago.edu/~may/REU2014/REUPapers/Robinson.pdf https://www.math.hmc.edu/~su/papers.dir/banachtarski.pdf http://people.math.umass.edu/~weston/oldpapers/banach.pdf Banach-Tarski explinations online: http://www.irregularwebcomic.net/2339.html http://www.kuro5hin.org/comments/2003/5/23/134430/275?pid=5#10 http://skepticsplay.blogspot.co.uk/2010/05/doubling-sphere.html http://austinrochford.com/posts/2014-05-14-banach-tarski-paradox.html http://www.math.cornell.edu/~mec/Summer2009/Whieldon/Math_Explorers_Club%3A__Lesson_Links/Entries/2009/7/28_Lesson_6%3A__Whats_an_Anagram_of_Banach-Tarski.html http://rachellevanger.com/index_files/BT%20Animated%20Presentation%20Web.pdf http://quibb.blogspot.co.uk/2013_03_01_archive.html http://blog.computationalcomplexity.org/2011/04/what-did-banachs-wife-think-of-banach.html https://geopolicraticus.wordpress.com/tag/banach-tarski-paradox/ http://dgleahy.com/p47.html https://www.math.hmc.edu/funfacts/ffiles/30001.1-3-8.shtml Cayley graph animated gif: https://twitter.com/GIFsofWikipedia/status/624202342259240960 Hilbert’s hotel on wikipedia: https://en.wikipedia.org/wiki/Hilbert%27s_paradox_of_the_Grand_Hotel types of infinity: http://www.xamuel.com/levels-of-infinity/ set theory and quantum physics: http://link.springer.com/article/10.1007/BF02213427#page-1 LHC gif: http://cms.web.cern.ch/news/lhc-data-be-made-public-open-access-initiative Zermelo-Fraenkel axioms of mathematics: http://mathworld.wolfram.com/Zermelo-FraenkelAxioms.html Is math invented or discovered? http://phys.org/news/2013-09-mathematics-effective-world.html http://www.scientificamerican.com/article/is-the-universe-made-of-math-excerpt/ more deep dream images: https://www.reddit.com/r/deepdream/ BOOKS: The Pea and the Sun: http://www.amazon.com/The-Pea-Sun-Mathematical-Paradox/dp/1568813279 The Outer Limits...
Four sisters in Ancient Rome - Ray Laurence 08:39
Four sisters in Ancient Rome - Ray Laurence
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View full lesson: http://ed.ted.com/lessons/four-sisters-in-ancient-rome-ray-laurence How did the young, wealthy women of Ancient Rome spend their days? Meet Domitia and her sister Domitia and her sister Domitia and her sister Domitia. Ray Laurence sketches the domestic life of leisure that these young girls lived, despite little recorded information on women from this otherwise well-documented era. Lesson by Ray Laurence, animation by Cognitive Media.
Would you sacrifice one person to save five? - Eleanor Nelsen 04:56
Would you sacrifice one person to save five? - Eleanor Nelsen
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View full lesson: http://ed.ted.com/lessons/would-you-sacrifice-one-person-to-save-five-eleanor-nelsen Imagine you’re watching a runaway trolley barreling down the tracks, straight towards five workers. You happen to be standing next to a switch that will divert the trolley onto a second track. Here’s the problem: that track has a worker on it, too — but just one. What do you do? Do you sacrifice one person to save five? Eleanor Nelsen details the ethical dilemma that is the trolley problem. Lesson by Eleanor Nelsen, animation by Eoin Duffy.
Why incompetent people think they're amazing - David Dunning 05:08
Why incompetent people think they're amazing - David Dunning
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Check out our Patreon page: https://www.patreon.com/teded View full lesson: https://ed.ted.com/lessons/why-incompetent-people-think-they-re-amazing-david-dunning How good are you with money? What about reading people’s emotions? How healthy are you, compared to other people you know? Knowing how our skills stack up against others is useful in many ways. But psychological research suggests that we’re not very good at evaluating ourselves accurately. In fact, we frequently overestimate our own abilities. David Dunning describes the Dunning-Kruger effect. Lesson by David Dunning, directed by Wednesday Studio, music and sound by Tom Drew. Thank you so much to our patrons for your support! Without you this video would not be...
The myth of Prometheus - Iseult Gillespie 04:47
The myth of Prometheus - Iseult Gillespie
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Check out our Patreon page: https://www.patreon.com/teded View full lesson: https://ed.ted.com/lessons/the-myth-of-prometheus-iseult-gillespie Before the creation of humanity, the Greek gods won a great battle against a race of giants called the Titans. Most Titans were destroyed or driven to the eternal hell of Tartarus. But the Titan Prometheus, whose name means foresight, persuaded his brother Epimetheus to fight with him on the side of the Gods. Iseult Gillespie shares the myth of Prometheus. Lesson by Iseult Gillespie, directed by Léa Krawczyk. Thank you so much to our patrons for your support! Without you this video would not be possible. Yalda A., Susan Herder, Andrew Bosco, Craig Sheldon,...
Why should you read 06:09
Why should you read "Macbeth"? - Brendan Pelsue
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Check out our Patreon page: https://www.patreon.com/teded View full lesson: https://ed.ted.com/lessons/why-should-you-read-macbeth-brendan-pelsue There’s a play so powerful that an old superstition says its name should never be uttered in a theater. A play that begins with witchcraft and ends with a bloody, severed head. A play filled with riddles, prophecies, nightmare visions, and lots of brutal murder. But is it really all that good? Brendan Pelsue explains why you should read (or revisit) "Macbeth." Lesson by Brendan Pelsue, directed by Silvia Prietov. Thank you so much to our patrons for your support! Without you this video would not be possible. Delene McCoy, Sammie Goh, Kathryn...
Can you solve the bridge riddle? - Alex Gendler 03:50
Can you solve the bridge riddle? - Alex Gendler
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View full lesson: https://ed.ted.com/lessons/can-you-solve-the-bridge-riddle-alex-gendler Taking that internship in a remote mountain lab might not have been the best idea. Pulling that lever with the skull symbol just to see what it did probably wasn’t so smart either. But now is not the time for regrets because you need to get away from these mutant zombies...fast. Can you use math to get you and your friends over the bridge before the zombies arrive? Alex Gendler shows how. Lesson by Alex Gendler, animation by Artrake Studio.
Can you solve 05:13
Can you solve "Einstein’s Riddle"? - Dan Van der Vieren
Play TED-Ed 6,858,469
View full lesson: http://ed.ted.com/lessons/can-you-solve-einstein-s-riddle-dan-van-der-vieren View all the clues here: http://ed.ted.com/lessons/can-you-solve-einstein-s-riddle-dan-van-der-vieren#digdeeper Before he turned physics upside down, a young Albert Einstein supposedly showed off his genius by devising a complex riddle involving a stolen exotic fish and a long list of suspects. Can you resist tackling a brain teaser written by one of the smartest people in history? Dan Van der Vieren shows how. Lesson by Dan Van der Vieren, animation by Artrake Studio.
What is the tragedy of the commons? - Nicholas Amendolare 04:58
What is the tragedy of the commons? - Nicholas Amendolare
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Check out our Patreon page: https://www.patreon.com/teded View full lesson: https://ed.ted.com/lessons/what-is-the-tragedy-of-the-commons-nicholas-amendolare Is it possible that overfishing, super germs, and global warming are all caused by the same thing? In 1968, a man named Garrett Hardin sat down to write an essay about overpopulation. Within it, he discovered a pattern of human behavior that explains some of history’s biggest problems. Nicholas Amendolare describes the tragedy of the commons. Lesson by Nicholas Amendolare, directed by TED-Ed. Thank you so much to our patrons for your support! Without you this video would not be possible. Brandy Jones, John Ess, Jessica James, Tom Lee, Stephen Michael Alvarez, Hoang Ton,...
The Raven Paradox (An Issue with the Scientific Method) 06:26
The Raven Paradox (An Issue with the Scientific Method)
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Green apples and ravens... ♥ SOURCES AND LINKS • http://platonicrealms.com/encyclopedia/Hempels-Ravens-Paradox • https://explorable.com/raven-paradox • https://en.wikipedia.org/wiki/Raven_paradox ♥ PREVIOUS VIDEO https://goo.gl/LyG1oj ♥ SUGGESTED VIDEO https://goo.gl/LyG1oj ♥ AWESOME VIDEO https://goo.gl/qlJ6VX ♥ RECOMMENDED CHANNEL https://goo.gl/XtFiKu ♥ SOCIAL MEDIA • Instagram: https://goo.gl/bMTfPJ • Twitter: https://goo.gl/qQ60M4 • Google+: https://goo.gl/9cc5VG • Facebook: https://goo.gl/RDOifA • Tumblr: https://goo.gl/rPtSQ9 ♥ DONATE • Patreon: https://www.patreon.com/tritoxhd ♥ MUSIC • ZES - Alternate • Goblins From Mars and F R A N C I S - Breathing ♥ PETER (Script, Visuals, Voice) • AKA Tritox. Look above for links ^_^ ♥ ZES (Background Music) • https://soundcloud.com/zes-3 • https://www.facebook.com/Zesmusic ♥ GOBLINS FROM MARS (Outro Music) • https://www.facebook.com/goblinsfrommars • https://plus.google.com/+GoblinsFromMars • https://twitter.com/boris_and_mike • https://soundcloud.com/goblinsfrommars • https://www.instagram.com/goblins_from_mars/ ♥ F R A N C I S (Outro Music) • https://soundcloud.com/f-r-a-n-c-i-s-817614035 • https://www.facebook.com/F-R-A-N-C-i-S-227028124326636/ • http://francismetatron.tumblr.com/ ♥ HEADS UP • These videos may cause people with photosensitive epilepsy to convulse...
Where do math symbols come from? - John David Walters 04:30
Where do math symbols come from? - John David Walters
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Sign up for our newsletter here: https://ed.ted.com/newsletter View full lesson: https://ed.ted.com/lessons/where-do-math-symbols-come-from-john-david-walters Math is full of symbols: lines, dots, arrows, English letters, Greek letters, superscripts, subscripts ... it can look like an illegible jumble. Where did all of these symbols come from? John David Walters shares the origins of mathematical symbols, and illuminates why they’re still so important in the field today. Lesson by John David Walters, directed by Chris Bishop. Thank you so much to our patrons for your support! Without you this video would not be possible. Neil Harrison, Srikote Naewchampa, Benjamin & Shannon Pinder, Govind Shukla, Tejas Dc, Khalifa Alhulail, Faiza Imtiaz,...
Just How Small is an Atom? 05:28
Just How Small is an Atom?
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Just how small are atoms? And what's inside them? The answers turn out to be astounding, even for those who think they know. This fast-paced animation uses spectacular metaphors (imagine a blueberry the size of a football stadium!) to give a visceral sense of the building blocks that make our world. Lesson by Jonathan Bergmann, animation by Cognitive Media.
History’s deadliest colors - J. V. Maranto 05:14
History’s deadliest colors - J. V. Maranto
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View full lesson: http://ed.ted.com/lessons/history-s-deadliest-colors-j-v-maranto When radium was first discovered, its luminous green color inspired people to add it into beauty products and jewelry. It wasn’t until much later that we realized that radium’s harmful effects outweighed its visual benefits. Unfortunately, radium isn’t the only pigment that historically seemed harmless or useful but turned out to be deadly. J. V. Maranto details history’s deadliest colors. Lesson by J. V. Maranto, animation by Juan M. Urbina.
The rise and fall of the Berlin Wall - Konrad H. Jarausch 06:26
The rise and fall of the Berlin Wall - Konrad H. Jarausch
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Check out our Patreon page: https://www.patreon.com/teded View full lesson: https://ed.ted.com/lessons/the-rise-and-fall-of-the-berlin-wall-konrad-h-jarausch On August 13, 1961, construction workers began tearing up streets and erecting barriers in Berlin. This night marked the beginning of one of history’s most infamous dividing lines: the Berlin Wall. Construction continued for a decade as the wall cut through neighborhoods, separated families, and divided not just Germany, but the world. Konrad H. Jarausch details the history of the Berlin Wall. Lesson by Konrad H. Jarausch, directed by Remus & Kiki.
Why Should We Care About Higher Dimensions?? 17:54
Why Should We Care About Higher Dimensions??
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I talk about some of the uses of higher dimensional mathematics. https://twitter.com/goldplatedgoof
Can you solve the pirate riddle? - Alex Gendler 05:24
Can you solve the pirate riddle? - Alex Gendler
Play TED-Ed 2,406,148
View full lesson: http://ed.ted.com/lessons/can-you-solve-the-pirate-riddle-alex-gendler It’s a good day to be a pirate. Amaro and his four mateys – Bart, Charlotte, Daniel, and Eliza have struck gold – a chest with 100 coins. But now, they must divvy up the booty according to the pirate code — and pirate code is notoriously complicated. Can you help come up with the distribution that Amaro should propose to make sure he lives to tell the tale? Alex Gendler shows how. Lesson by Alex Gendler, animation by Artrake Studio.
Video Description
View full lesson: http://ed.ted.com/lessons/the-infinite-hotel-paradox-jeff-dekofsky

The Infinite Hotel, a thought experiment created by German mathematician David Hilbert, is a hotel with an infinite number of rooms. Easy to comprehend, right?  Wrong. What if it's completely booked but one person wants to check in? What about 40? Or an infinitely full bus of people? Jeff Dekofsky solves these heady lodging issues using Hilbert's paradox.

Lesson by Jeff Dekofsky, animation by The Moving Company Animation Studio.
Tags: The Infinite Hotel Paradox   Jeff Dekofsky   Jeff Dekofsky   Nadav Arbel   Moving Company Animation Studio   Infinite Hotel   Infinity Hotel   Infinite Hotel Paradox   Infinity Hotel Paradox   Hilbert's Hotel   Grand Hotel   Hilbert's Grand Hotel   infinity   what is infinity   how big is infinity   how to understand infinity   TED   TED   Ed   TED Ed   TEDEducation   math   paradox   math problem   mathematics   thought experiment  

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