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Why does cantors theorem not prove the interval (0,1) in Q uncountable?

  1. Apr 18, 2012 #1
    This is a 'just for fun' question at the end of my online lecture notes..
    My brain is fried from studying for exams, I can't figure it out and it is driving me mad!
    Anyone care to help me out?
  2. jcsd
  3. Apr 18, 2012 #2
    Not every number which can be constructed through Cantor's procedure is rational; so, you would need to show that you can always construct a rational number which is not on the list.
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