> On 17 Dec 2018, at 20:48, Brent Meeker <[email protected]> wrote:
> 
> 
> 
> On 12/17/2018 2:16 AM, Bruno Marchal wrote:
>>> Yes, you create a whole theology around not all truths are provable.  But 
>>> you ignore that what is false is also provable.  Provable is only relative 
>>> to axioms.
>> 
>> I make my theory clear. (Kxy = x; Sxyz = xz(yz), elementary arithmetic). 
>> False is not provable in that theory.
> 
> You mean a contradiction is not provable  within that theory.  As you said 
> above "false" is a relation to some separately known reality.
> 
>> 
>> Of course, I can only hope that you believe that elementary arithmetic is 
>> consistent, and true with respect to the standard model. But that is always 
>> the case when we discuss with other people. We hope they don’t believe in 
>> 2+2=5.
> 
> It is disingenuous to imply that whomever believes "2+2=4" is thereby 
> committed to believing arithmetic is consistent or even that it is well 
> defined.
> 
> Brent
> 
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