The Banach-Tarski paradox Stan Wagon
Publisher: Cambridge University Press

This week we go over just how a mathematical universe differs from a physical one on the basis of the Axiom of Choice. Posted by Labib Ittihadul at 3:30 PM. Although there may not be enough points there are also too many sets as demonstrated by the Banach-Tarski paradox which lead to the introduction of measurable sets. Layman's Guide to the Banach-Tarski Paradox. XKCD on the Banach-Tarski Paradox! The Banach-Tarski paradox is one of the many places where higher-level math starts to sound like a stoned conversation in a Freshman college dorm room. The Banach-Tarski paradox : PDF eBook Download. (This is similar to the Banach-Tarski paradox, where you can “use infinity” to turn one ball into two balls). So, yes, it's been a while since I've kept this blog up to date, but I promise I'll get back into the swing of things sooner or later. Google the Banach-Tarski paradox. By Stan Wagon Publisher: Cambridge University Press. 2) It's possible to cut a sphere into 5 pieces and rearrange the pieces to make two spheres as big as the original. Comments · Read More [Source: Hacker News - Posted by FreeAutoBlogger]. Link includes a video on how to make one yourself out of paper, as well as an introduction to the Banach-Tarski paradox ("a pea can be chopped up and reassembled into the Sun"). February 26th, 2013 reviewer Leave a comment Go to comments. Subscribe to: Post Comments (Atom). No comments: Post a Comment · Newer Post Older Post Home.