[FOM] Inconsistency of P
panu.raatikainen at helsinki.fi
Thu Oct 6 23:59:43 EDT 2011
My initial claim was wrong - no quarrel about that. In a hurry, I just
conflated two different issues in my mind.
"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.
Ph.D., University Lecturer
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E-mail: panu.raatikainen at helsinki.fi
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