On 30 May 2012, at 16:08, Stephen P. King wrote:

On 5/30/2012 4:45 AM, Bruno Marchal wrote:

On 30 May 2012, at 08:12, Stephen P. King wrote:

Hi Brent,

Yes, that is a very good point! The axiom of choice is a suspect here. Banach and Tarsky proved a paradox of the axiom of choice, it is the "scalar field" of mathematics, IMHO; you can get from it anything you want.

Banach and Tarski proved an amazing theorem with the axiom of choice, but it is not a paradox, in the sense that it contradicts nothing, and you can't get anything from it.


The axiom of choice allows for violation of conservation laws, if it where to be a physical law.

The axiom of choice is not a physical law.



You received this message because you are subscribed to the Google Groups 
"Everything List" group.
To post to this group, send email to everything-list@googlegroups.com.
To unsubscribe from this group, send email to 
For more options, visit this group at 

Reply via email to