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Math Help - a question about the Axiom of choice

  1. #1
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    a question about the Axiom of choice

    how to proof the following conclusion:
    for any infinite set S,there exists a bijection f:S--->S*S
    implies
    the Axiom of choice.
    Can you give a proof without the theory of ordinal numbers.
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  2. #2
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    Re: a question about the Axiom of choice

    What does

    S*S

    stand for?
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  3. #3
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    Re: a question about the Axiom of choice

    Quote Originally Posted by MoeBlee View Post
    What does S*S stand for?
    I think that S*S means S\times S as in cross product.
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