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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

    CRGreathouse

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    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].
     
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