Re: Simple yet Profound Metatheorem



David C. Ullrich wrote:
> On 20 Dec 2005 05:35:47 -0800, "Charlie-Boo" wrote:

> > A better
> >counterexample for you (than meaningless propositional variables) would
> >be P is any Godel sentence and Q is FALSE.
>
> A counterexample that depends on an _actual_ deep theorem is
> "better" than a simple and totally elementary counterexample?
> Fascinating.

It's just a cop-out to talk about variables with no meaning rather than
actual assertions about something. By that logic, you can say that a
system is incomplete because it has a propositional variable with no
meaning and thus no proof of it or its negation.

That's not what we're talking about.

C-B

> ************************
>
> David C. Ullrich

.



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