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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- August 9th 2011, 12:04 AMmathabca 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 AMMoeBleeRe: a question about the Axiom of choice
What does

S*S

stand for? - August 9th 2011, 08:36 AMPlatoRe: a question about the Axiom of choice