Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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

    User Avatar
    Staff Emeritus
    Science Advisor

    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.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Cardinality bigger than that of the reals
  1. Is C bigger than R? (Replies: 6)

Loading...