AH. QED

January 2, 2006 · The Mathcast, infinity, logic, paradoxes · Permalink

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There are vastly many more real numbers than fractions!

This hidden track from the Math Factor CD was never aired on the radio– we chickened out at the last moment. But we are proud that we managed to discuss Cantor’s famous diagonalization proof, perhaps the most elegant proof in all of mathematics, here in the podcast.

 
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1 Comment »

  1. PA32R said,

    April 14, 2007 at 6:16 pm

    As a professor of mine once pointed out, if you throw a dart with a “point tip” at a number line, the probability of hitting an algebraic number, let alone a rational number, is zero.

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