[FOM] Cardinals and Choice

William Boshuck boshuk at math.mcgill.ca
Thu Dec 23 13:33:23 EST 2010

On Wed, Dec 22, 2010 at 08:51:10AM -0500, Richard Heck wrote:
> All the helpful books are at the office, so I'll ask here: Does the 
> principle that the cardinals are well-ordered imply the axiom of choice? 

That any two cardinals are comparable implies
the axiom of choice.  I think this was first
noticed by Hartogs.

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