Re: what makes it true?
- From: Torkel Franzen <torkel@xxxxxxxxxx>
- Date: 07 Sep 2005 10:03:19 +0200
Timothy Little <tim-usenet@xxxxxxxxxxxxxxxxxx> writes:
> I may be mistaken, but isn't it a theorem that an undecidable
> proposition has both models where it is true and models where it is
> false?
Sure.
> Why do you accept only the models in which it is true?
It's not a matter of accepting anything except a perfectly ordinary
(and easily proved) mathematical theorem: if Goldbach's conjecture
is undecidable in PA, then it is true, that is, every even number
greater than 2 is the sum of two primes.
.
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