[FOM] Gödel's Theorem & Hilbert, etc.

praatika@mappi.helsinki.fi praatika at mappi.helsinki.fi
Sun Apr 6 02:14:09 EDT 2008


Joseph Hilton <deglitcher at hotmail.com>:

> (1)  I would like to know if anyone on the FOM list has done any
> historical research on the informal reviews and discussions of Gödel's
> theorem before it was published, especially in regard to Hilbert's
> anticipation of just the opposite result. 


There are a couple of good sources on this:

Paolo Mancosu: "Between Vienna and Berlin: The Immediate Reception of 
Gödel's Incompleteness Theorems",  History and Philosophy of Logic, Volume 
20, Number 1, 1 March 1999 , pp. 33-45(13)

John W. Dawson, Jr.: "The Reception of Godel's Incompleteness Theorems", 
PSA: Proceedings of the Biennial Meeting of the Philosophy of Science 
Association, Vol. 1984, Volume Two: Symposia and Invited Papers (1984), pp. 
253-271.    

I also warmly recommend Dawson's excellent scientific biography: 
John W. Dawson, Jr.: "Logical Dilemmas: The Life and Work of Kurt Godel", A 
K Peters, Ltd. 1997.


 
On Hilbert's somewhat contrary views, I could perhaps advertize my own 
paper:   

Panu Raatikainen. "Hilbert's Program Revisited", Synthese 
Vol. 137, Nos 1-2 / November, 2003.

It can be found here:
http://www.mv.helsinki.fi/home/praatika/Hilbert's%20Program%20Revisited.pdf


See also: 
http://plato.stanford.edu/entries/hilbert-program/



All the Best, Panu


Panu Raatikainen
 
Ph.D., Academy Research Fellow,
Docent in Theoretical Philosophy
 
Department of Philosophy
University of Helsinki
Finland
 
 
E-mail: panu.raatikainen at helsinki.fi
 
http://www.mv.helsinki.fi/home/praatika/
 


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