Republic of Mathematics blog

Posts Tagged ‘Banach-Tarski paradox

The axiom of choice: can’t live without it, can’t live with it

Posted by: Gary Ernest Davis on: May 4, 2011

Imagine you get to choose one of each type of cake from the cake shop pictured above! What a treat! With trembling hands you go from one type of cake to another, carefully choosing one of each until you’ve run out of different types of cakes. Yum! When you’re done you have a collection of […]