“For another indication of the controversy that initially surrounded the Axiom of Choice, consider this anecdote (recounted by Jan Mycielski in *Notices of the AMS* vol. 53 no. 2 page 209). Tarski, one of the early great researchers in set theory and logic, proved that AC is equivalent to the statement that any infinite set X has the same cardinality as the Cartesian product X x X. He submitted his article to *Comptes Rendus Acad. Sci. Paris*, where it was refereed by two very famous mathematicians, Fréchet and Lebesgue. Both wrote letters rejecting the article. Fréchet wrote that an implication between two well known truths is not a new result. And Lebesgue wrote that an implication between two false statements is of no interest. Tarski said that he never again submitted a paper to the *Comptes Rendus*.”

Source: *Axiom of Choice*