The Banach–Tarski Paradox

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Q: "What's an anagram of Banach-Tarski?"
A: "Banach-Tarski Banach-Tarski."

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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...

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

types of infinity:

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-...

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http://phys.org/news/2013-09-mathemat...
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