Loading...

The Banach–Tarski Paradox

18,744,223 views

Loading...

Loading...

Transcript

The interactive transcript could not be loaded.

Loading...

Rating is available when the video has been rented.
This feature is not available right now. Please try again later.
Published on Jul 31, 2015

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=1zARM...

Field Day: https://www.youtube.com/channel/UCRPk...

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_...

Chocolate illusion: http://mathandmultimedia.com/2014/07/...

Chocolate illusion video: https://www.youtube.com/watch?v=dmBsP...

related Numberphile videos:

sizes of infinity (includes diagonal argument): https://www.youtube.com/watch?v=elvOZ...
infinity paradoxes: https://www.youtube.com/watch?v=dDl7g...

Vi Hart on types of infinity: https://www.youtube.com/watch?v=23I5G...
Countable & uncountable definitions:

http://mathinsight.org/definition/unc...
https://en.wikipedia.org/wiki/Countab...
https://en.wikipedia.org/wiki/Uncount...

Banach-Tarski on wikipedia: https://en.wikipedia.org/wiki/Banach%...

Banach-Tarski proofs:

http://math.uchicago.edu/~may/REU2014...
https://www.math.hmc.edu/~su/papers.d...
http://people.math.umass.edu/~weston/...

Banach-Tarski explinations online:

http://www.irregularwebcomic.net/2339...
http://www.kuro5hin.org/comments/2003...
http://skepticsplay.blogspot.co.uk/20...
http://austinrochford.com/posts/2014-...
http://www.math.cornell.edu/~mec/Summ...
http://rachellevanger.com/index_files...
http://quibb.blogspot.co.uk/2013_03_0...
http://blog.computationalcomplexity.o...
https://geopolicraticus.wordpress.com...
http://dgleahy.com/p47.html
https://www.math.hmc.edu/funfacts/ffi...

Cayley graph animated gif: https://twitter.com/GIFsofWikipedia/s...

Hilbert’s hotel on wikipedia: https://en.wikipedia.org/wiki/Hilbert...

types of infinity: http://www.xamuel.com/levels-of-infin...

set theory and quantum physics: http://link.springer.com/article/10.1...

LHC gif: http://cms.web.cern.ch/news/lhc-data-...

Zermelo-Fraenkel axioms of mathematics: http://mathworld.wolfram.com/Zermelo-...

Is math invented or discovered?

http://phys.org/news/2013-09-mathemat...
http://www.scientificamerican.com/art...

more deep dream images: https://www.reddit.com/r/deepdream/

BOOKS:

The Pea and the Sun: http://www.amazon.com/The-Pea-Sun-Mat...
The Outer Limits of Reason: http://www.amazon.com/Outer-Limits-Re...
Why Beliefs Matter: http://www.amazon.com/Why-Beliefs-Mat...
Things to Make and do in the Fourth Dimension: http://www.amazon.com/Things-Make-Fou...

Music by http://www.youtube.com/JakeChudnow and
http://www.audionetwork.com

Loading...

Advertisement
When autoplay is enabled, a suggested video will automatically play next.

Up next


to add this to Watch Later

Add to

Loading playlists...