From: Mikko Särelä (msarela@cc.hut.fi)
Date: Thu Feb 05 2004 - 00:21:53 MST
On Wed, 4 Feb 2004, Psy-Kosh wrote:
> --[PinePGP]--------------------------------------------------[begin]--
> >
> > Not true. You have to have an infinite set to deal
> > with. Otherwise Goedel's theorem can't touch you.
> >
> > Inside finite arithmetic, Goedel can't be applied. Not
> > even inside some infinite sets. Like groups.
> >
>
> What do you mean? My understanding was that the incompletenes theorem
> applied to any system capable of "talking about" arithmetic.
It only applies to those systems capable of expressing the natural
numbers.
-- Mikko Särelä Emperor Bonaparte: "Where does God fit into your system?" Pièrre Simon Laplace: "Sire, I have no need for that hypothesis."
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