Uncountable sets being ordered
DanielB, while I agree the statement you edited was erroneous, the current form is not quite right either. There are uncountable sets (such as the real numbers) which have a natural ordering and you don't need the axiom of choice to order them, only addition and multiplication. However, if you have an arbitrary uncountable set, then you do need AC to order it, so I'll adjust the wording to reflect that. Foxtrot 15:48, 29 June 2008 (EDT)