Hello Rich, (01)
On Tue, Jan 24, 2012 at 12:34:19PM -0800, Rich Cooper wrote:
> Gödel showed that any logical system at least as
> powerful as arithmetic is necessarily conflicted;
> there are true theorems that cannot be proven and
> there are false theorems that cannot be refuted. (02)
Gödel showed that there are always theorems that are independent of such a
system. That is: They are neither true or false because there are models
of the system where they are true and there are models where they are false.
A model is an interpretation of all symbols of the system where all
restrictions/axioms are true. The system is "ambiguous". (03)
Of course I did not imply that ambiguity in natural language is the same. (04)
Regards, (05)
Michael Brunnbauer (06)
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