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Cardinality bigger than that of the reals

  1. Dec 27, 2012 #1
    I was wondering. Has anyone ever been able to build a beth-2 set? What does it look like? What could it possibly look like?
  2. jcsd
  3. Dec 27, 2012 #2

    D H

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    The set of all mappings (functions) from the reals to the reals.
  4. Dec 28, 2012 #3
    The power set is always of higher cardinality than the original set. Then you can take the power set of the power set, etc.
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