FOM: Goedel: truth and misinterpretations

Kanovei kanovei at
Thu Oct 26 01:25:05 EDT 2000

> Date: Wed, 25 Oct 2000 13:17:51 -0700
> From: Martin Davis <martin at>
> that given any suitable theory, by choosing appropriate values for 
> parameters, a system will be obtained that has no solutions but such that 
> this fact is unprovable in the given system.
> To be clear: for a theory like ZFC the values of the parameters will be 
> very large. But the algorithm for computing them is perfectly explicit.
This does not answer the request of mathematical meaning 
of the "sentences". 
I would not be surprized that a skillful number-theorist can even 
convert Con ZFC to a diophantine system, but despite a clear 
METAmathematical meaning of likes of Con ZFC, their mathematical 
meaning is questionable (cf. the shockwaves from the 
Harrington-Paris 1974 result) 


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