# Math Help - a question about the Axiom of choice

1. ## 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.

What does

S*S

stand for?

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

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