On 10 Jun 2009, at 02:20, Brent Meeker wrote:




> So we believe in the consistency of Peano's arithmetic because we  
> have a
> physical model.

Why physical? And do we have a physical model? I would say we belive  
in the consistency (and soundness) of PA because we have a model of  
PA, the well known structure (N, 0, +, *).

If comp is true, there is no physical model at all. (But this is not  
something on which I want to insist for now).

Bruno



http://iridia.ulb.ac.be/~marchal/




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