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Thread: Cardinality

  1. September 21st 2009, 08:58 AM #1
    Jdg6057
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    Cardinality

    If X is an infinite set and x is in X, show that X~X\{x}.
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  2. September 21st 2009, 09:14 AM #2
    Plato
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    Quote Originally Posted by Jdg6057 View Post
    If X is an infinite set and x is in X, show that X~X\{x}.
    The proof of this statement is entirely dependent on what definition of infinite set is in use.
    Last edited by Plato; September 21st 2009 at 10:03 AM.
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