[FOM] speaking of provability logic

Giovanni Sambin sambin at math.unipd.it
Mon May 21 11:03:24 EDT 2012

Dear Juliette,
the content of that paper appears also in Boolos' book "The logic of 
provability".  I recall that George Boolos was satisfied with this piece 
of work by his student Lisa Reidhaar-Olson. In fact, she provides a 
proof of the fixed point theorem which makes use of Kripke  semantics, 
which George considered clearer than  my own original syntactic proof.
This is only a little remembrance from the past. I have no idea about 
what happens nowadays.
All the best,

On 5/19/12 10:08 PM, jkennedy at mappi.helsinki.fi wrote:
> Dear Colleagues,
> Speaking of provability logic, does anyone know about this paper?
> A new proof of the fixed-point theorem of provability logic.
> Lisa Reidhaar-Olson
> Source: Notre Dame J. Formal Logic Volume 31, Number 1 (1989), 37-43.
> Do people in provability logic nowadays make use of the result in any 
> way?
> All the best,
> Juliette Kennedy
> Quoting "Richard Heck" <rgheck at brown.edu>:
>> On 05/17/2012 06:19 PM, Craig Smorynski wrote:
>>> Aatu Koskensilta quoted me on the issue of who first realised that 
>>> Löb's Theorem for a theory T is equivalent to the Second 
>>> Incompleteness Theorem for all finite extensions of T to the effect 
>>> that I side with Boolos in crediting Kripke.
>>> [snip]
>>> In any event, there was Boolos's crediting Kripke, which I wrote to 
>>> him about, feeling it smacked more of hero-worship than scholarship.
>> George wasn't really one to worship heroes, though he and Kripke were 
>> good friends, having first met, I believe, in Oxford in 1962-63.
>> Many years ago now, George and I were having lunch at a restaurant in 
>> Harvard Square, One Potato, Two Potato, which is now gone. George 
>> told  me that it was at the very table at which Gerald Sacks and Burt 
>> Dreben then happened to be sitting, not far from us, that Kripke had 
>> showed him this argument in 1966, and that it was in large part that 
>> conversation that had sparked his interest in provability logic.
>> Richard Heck
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