[FOM] Omega Consistency of Q Implies Consistency of PA?

william tait williamtait at mac.com
Wed Apr 15 14:53:41 EDT 2015


Dear Richard,

Q is Sigma_1 complete. (Provable in PA)

Bill

Sent from my iPad

> On Apr 15, 2015, at 9:49 AM, Richard Heck <richard_heck at brown.edu> wrote:
> 
> 
> Feferman mentions in a footnote in "Arithmetization" that Kreisel showed that the omega consistency of Q finitistically implies the consistency of PA. Unfortunately, the paper to which he refers seems to be hard to get. Can anyone explain the proof of this?
> 
> Richard Heck
> 
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