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

Higher Cardinals.

  1. Oct 7, 2006 #1
    Just an ideal question, possibly asked before, but is there an example of a Set which has cardinality of [tex]\aleph_{2}[/tex]?
  2. jcsd
  3. Oct 7, 2006 #2


    User Avatar
    Science Advisor
    Homework Helper

    That's a tough one, since it depends on the assumptions you use. With the GCH, the set of all functions [itex]f:\mathbb{R}\rightarrow\mathbb{R}[/itex] has cardinality [itex]\aleph_2[/itex].
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Discussions: Higher Cardinals.
  1. Cardinality help (Replies: 5)

  2. Cardinal Numbers (Replies: 1)

  3. Cardinality Question (Replies: 1)