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Set-Theoretic Notation Kuratowski

  1. Feb 12, 2012 #1
    I'm not sure if I'm on the right track with any of this, but any insight would be greatly appreciated. I have worked out what I believe to be the correct answer, but I really don't have any idea.

    Express <a, b, c> =df <<a, b>, c> in terms of the set-theoretic notation only, using the Kuratowski definition.

    Given Kuratowski's set-theoretic definition of ordered pairs: <x,y> = df {{x},{x,y}} it seems that the definition of <a, b, c> = df <<a, b>, c> would be <a, b, c> = df{{a}, {a, b}, {c}}

    On that construal, what is |<<a, b>, c>>|?

    Answer: 3

    Show that <<a, b>, c> ≠ <a, <b, c>>.
     
  2. jcsd
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