[FOM] Hartogs Number

tf at maths.cam.ac.uk tf at maths.cam.ac.uk
Thu Oct 30 03:38:33 EDT 2014

On Oct 29 2014, William Elliot wrote:

>Within ZF, if every Hartogs number is a successor 
>cardinal, then can every set be well ordered?

   Good question.  I don't know the answer, and as far as 
i know it is open.  Nevertheless my confident prediction 
is that your proposition will turn out to be weaker than AC.

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