UConn Math Club
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The Banach−Tarski paradox is the suprising fact that any three-dimensional solid object can be "cut" into finitely many pieces which can be rearranged to form any other solid object. For example, a pea can be cut up and rearranged to form the sun. In this talk, we will discuss the proof of the Banach−Tarski paradox and especially the role of the infamous "axiom of choice." No specific mathematical background is required. Web page for the Math Club: http://www.math.uconn.edu/~kconrad/mathclub |