1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
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

Have something to add?

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

  2. Cardinal Numbers (Replies: 1)

  3. Cardinality Question (Replies: 1)