Re: [FOM] Did Gödel's result come as a surprise to Bertrand Russell?

Charles Silver silver_1 at mindspring.com
Tue Mar 30 09:08:54 EDT 2010


		   Probably apocryphal, but I've read that only von Neumann grasped  
it instantly (perhaps because, again: legend) he'd been troubling over  
trying to prove completeness.


On Mar 26, 2010, at 8:12 PM, Rupert McCallum wrote:

> I remember reading that Gödel's result came as a surprise to  
> Bertrand Russell. I was wondering whether this can be confirmed.  
> Presumably it would have been no surprise that omega-order Peano  
> arithmetic was incomplete in the sense of not deciding the axiom of  
> choice. Did anyone ever really speculate that omega-order Peano  
> arithmetic with the axiom of choice might be complete?
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