[FOM] Inconsistency of P

[Panu Raatikainen]

My initial claim was wrong - no quarrel about that. In a hurry, I just  
conflated two different issues in my mind.

Anyway...

"Monroe Eskew" <meskew at math.uci.edu>:

> If T is sufficiently strong, then T can define Delta_0 truth and prove
> the following "internal" version of Sigma_1 completeness:
      :
> Now T proves S is consistent and Sigma_1 complete.
> So T proves S does not prove K(n) > c(T).

I understand that we now assume again that T really is inconsistent.  
Then it is not very informative that it can prove these things -  
because it can prove any claim whatsoever.

Best

Panu

-- 
Panu Raatikainen

Ph.D., University Lecturer
Docent in Theoretical Philosophy

Theoretical Philosophy
Department of Philosophy, History, Culture and Art Studies
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E-mail: panu.raatikainen at helsinki.fi

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