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

Cardinality of R^N

  1. Jun 2, 2010 #1
    What's the cardinality of [tex]\mathbb{R}^{\mathbb{N}}[/tex]?

    It must be [tex]\mathbb{R}[/tex] or [tex]\{0,1\}^{\mathbb{R}}[/tex], but I'm not sure which.
  2. jcsd
  3. Jun 2, 2010 #2


    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    Arithmetic to the rescue!

    RN = (2N)N = ...
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook