Steven Strogatz and Hilbert’s Infinite Hotel

Mathematician Steven Strogatz explains Cantor’s notion of infinity using the famous example of "Hilbert’s Infinite Hotel." This is a hotel with an infinite number of rooms and an infinite number of guests. But what if another guest comes to the hotel? Where do they fit in? Strogatz uses buses instead, and takes us step by step through the process, connecting it to the mathematical world. But in fact Cantor countered Hilbert’s Infinite Hotel with the idea that some infinities are bigger than others.

Watch the Full Program Here: Original Program Date: May 31, 2013

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