From: Matt Mahoney (firstname.lastname@example.org)
Date: Fri Jan 25 2008 - 11:09:09 MST
--- Vladimir Nesov <email@example.com> wrote:
> On Jan 25, 2008 6:20 PM, Matt Mahoney <firstname.lastname@example.org> wrote:
> > What I mean is, if we lived in a universe where certain things worked
> > perfectly, including our model of it, then that universe would not be
> > computable. It is hard to imagine such a universe because we don't live
> > one. The fact that we can't imagine it (because a perfect model is
> > impossible) is evidence that the universe is Turing computable.
> It's easy to imagine such universe, as a mathematical model. Point is
> that even if you do live in such universe, you can't be sure of it.
> Its inhabitants can't know that rules won't change at some future
> point, they can only know that they haven't changed for all history of
They could know if their thought process was based on mathematical proof,
unlike the way we think.
-- Matt Mahoney, email@example.com
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