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.


  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.

  2. Shawn said,

    February 4, 2012 at 5:34 pm

    Is this podcast supposed to have silence from 0:12-1:59?

  3. strauss said,

    February 4, 2012 at 6:43 pm

    Ah, our little joke.

    The first eight segments were distributed on a CD we made in Fall 2004; this was a (sort of) hidden track. When I posted these in our first podcast I just left the silence in…

  4. Shawn said,

    February 5, 2012 at 5:08 pm

    Good. I was afraid that something was wrong with my speakers or something.

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