[FOM] Eliminating AC

Monroe Eskew meskew at math.uci.edu
Thu Mar 21 16:12:41 EDT 2013


On Mar 21, 2013, at 11:47 AM, Joe Shipman <JoeShipman at aol.com> wrote:

> I am looking for something that I can explain in a few minutes to a mathematician who is unfamiliar with Godel constructibility, so that he will feel he understands why the result is true.
> 
> -- JS

The theorem that ZFC is consistent relative to ZF is a special case of the assertion, "any arithmetical consequence of ZFC is a consequence of ZF."  So it seems doubtful that you can answer this question in a simpler way than using Gödel's L.

Monroe


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