# a question about the Axiom of choice

• August 9th 2011, 12:04 AM
mathabc
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.
• August 9th 2011, 06:52 AM
MoeBlee
Re: a question about the Axiom of choice
What does

S*S

stand for?
• August 9th 2011, 08:36 AM
Plato
Re: a question about the Axiom of choice
Quote:

Originally Posted by MoeBlee
What does S*S stand for?

I think that S*S means $S\times S$ as in cross product.