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Can we represent pi as a dedeking cut in the rationals

  1. Sep 6, 2011 #1
    Hi , I only recently read the construction of reals from rationals.

    I could grasp that [itex]\sqrt{2}[/itex] can be represented as the set of rationals given by
    {x[itex]\in[/itex] Q : x2 < 2 } . As we know this set is defined purely in terms of Q.

    Is there a dedekind cut representation for pi as well ?

    I read somehwhere that not all reals can be defined. But since pi is defined , what would it's dedeking cut representation be?
  2. jcsd
  3. Sep 6, 2011 #2
  4. Sep 6, 2011 #3


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