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43,665,106 Views • Jul 31, 2015 • Click to toggle off description
Q: "What's an anagram of Banach-Tarski?"
A: "Banach-Tarski Banach-Tarski."
twitter: www.twitter.com/tweetsauce
Instagram: www.instagram.com/electricpants
Kevin’s Field Day video: • After The Upload | Kevin Lieber from ...
Field Day: / @fieldday
Deep dream animation by instagram.com/NaderMakki/
If you like it, you'll love this video also by Nader: • Look Closely - by Nader Makki
Chocolate illusion: mathandmultimedia.com/2014/07/22/explanation-infin…
Chocolate illusion video: • Video
related Numberphile videos:
sizes of infinity (includes diagonal argument): • Infinity is bigger than you think - N...
infinity paradoxes: • Infinity Paradoxes - Numberphile
Vi Hart on types of infinity: • How many kinds of infinity are there?
Countable & uncountable definitions:
mathinsight.org/definition/uncountable
en.wikipedia.org/wiki/Countable_set
en.wikipedia.org/wiki/Uncountable_set
Banach-Tarski on wikipedia: en.wikipedia.org/wiki/Banach%E2%80%93Tarski_parado…
Banach-Tarski proofs:
math.uchicago.edu/~may/REU2014/REUPapers/Robinson.…
www.math.hmc.edu/~su/papers.dir/banachtarski.pdf
people.math.umass.edu/~weston/oldpapers/banach.pdf
Banach-Tarski explinations online:
www.irregularwebcomic.net/2339.html
www.kuro5hin.org/comments/2003/5/23/134430/275?pid…
skepticsplay.blogspot.co.uk/2010/05/doubling-spher…
austinrochford.com/posts/2014-05-14-banach-tarski-…
www.math.cornell.edu/~mec/Summer2009/Whieldon/Math…
rachellevanger.com/index_files/BT%20Animated%20Pre…
quibb.blogspot.co.uk/2013_03_01_archive.html
blog.computationalcomplexity.org/2011/04/what-did-…
geopolicraticus.wordpress.com/tag/banach-tarski-pa…
dgleahy.com/p47.html
www.math.hmc.edu/funfacts/ffiles/30001.1-3-8.shtml
Cayley graph animated gif: twitter.com/GIFsofWikipedia/status/624202342259240…
Hilbert’s hotel on wikipedia: en.wikipedia.org/wiki/Hilbert%27s_paradox_of_the_G…
types of infinity: www.xamuel.com/levels-of-infinity/
set theory and quantum physics: link.springer.com/article/10.1007/BF02213427#page-…
LHC gif: cms.web.cern.ch/news/lhc-data-be-made-public-open-…
Zermelo-Fraenkel axioms of mathematics: mathworld.wolfram.com/Zermelo-FraenkelAxioms.html
Is math invented or discovered?
phys.org/news/2013-09-mathematics-effective-world.…
www.scientificamerican.com/article/is-the-universe…
more deep dream images: www.redlib.matthew.science/r/deepdream/
BOOKS:
The Pea and the Sun: www.amazon.com/The-Pea-Sun-Mathematical-Paradox/dp…
The Outer Limits of Reason: www.amazon.com/Outer-Limits-Reason-Science-Mathema…
Why Beliefs Matter: www.amazon.com/Why-Beliefs-Matter-Reflections-Scie…
Things to Make and do in the Fourth Dimension: www.amazon.com/Things-Make-Fourth-Dimension-Mathem…
Music by youtube.com/JakeChudnow and
www.audionetwork.com/
Views : 43,665,106
Genre: Science & Technology
Date of upload: Jul 31, 2015 ^^
Rating : 4.898 (26,810/1,021,493 LTDR)
RYD date created : 2022-04-09T22:02:19.517902Z
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YouTube Comments - 107,418 Comments
Top Comments of this video!! :3
Sir, Sir excuse me, I only asked if you wanted cream in your coffee...
11K |
One of my favorite hobbies is clicking on a Vsauce video and seeing how long I can keep up before my brain overheats.
386 |
Been watching this repeatedly for 8 years now and it never fails to blow me away. Peak YouTube and peak Sauce content.
760 |
Michael could go clinically insane and no one would notice a difference.
19K |
Gave 1 star to Hilbert's hotel on Trivago. They kept shifting our room.
3.3K |
Proud to say I fully understand all of this now! It only took half a math degree but after wishing I could wrap my brain around this since high school I'm very pleased :)
1.4K |
the hyperwebster introduction made it all click. absolutely mindblowing.
62 |
Teacher: the test wasn’t that hard
The test:
10K |
Every time Micheal says “or can you” the universe reluctantly has to rewrites the laws of physics.
37K |
Most YouTube videos are one time consumptions. Vsauce is that rare gem with rewatchability value.
11 |
"you cannot cut up a chocolate bar and finish with more than you started with.. or can you?"
I immediately grabbed a chocolate bar because I know Michael's got me
64 |
"Countable means you can count them"
michael you are so wise
6.1K |
[At Michael's Wedding]
Michael: I do.
Guests: Awww
Michael: Or do I?
[Vsause music intensifies]
5.7K |
This video is so nostalgic to me. May very well be my favorite on all of YouTube
86 |
from a professor in undergrad: an anagram of "Banach–Tarski" is "Banach–Tarski Banach–Tarski"
6 |
Whenever I feel like I'm smart, I come and watch this video to get rid of that nonsense
46K |
6 year old: im infinite cooler than you
Another 6 year old: im infinitely+1 cooler than you
Michael popping out of thin air: actually...
10K |
Bro getting frustrated by 0's at 4:20 is HILLARIOUS
5 |
I can't think of anyone who produces content that is more worth it to watch than Michael's. So much effort and passion are put into those videos that it's a crime not to watch them. Thank you VSause for making these.
62 |
@kedapofeng8993
4 years ago
Chiropractor: I’m just gonna make a small adjustment. turns 90 degrees *accidentally duplicates spine *
8.1K |