Re: The Rapidly-Accelerating Computer

From: Saibal Mitra <smitra.domain.name.hidden>
Date: Fri, 13 Oct 2000 22:57:57 +0200

Wei dai wrote:

> On Fri, Oct 13, 2000 at 02:55:00PM +0200, Saibal Mitra wrote:
> > But if as a function of objective time t the subjective time s(t) is
such
> > that
> >
> > Lim t ---> Infinity s(t) = 1
> >
> > then after a subjective time of 1 second an infinite amount of objective
> > time will have passed, unless you assume that the CSO can only exist at
> > times
> > s(t) < 1 .
>
> That assumption seems like a safe one to make, doesn't it? If you look
> at at the universe at any given moment, you would not find the CSO at
> subjective time 1.
>

Yes, this is inherent in the construction of the CSO. s(t) has to be
smaller than 1 for any finite t. But what about transfinite values for t?
Since transfinite numbers can be described in a mathematical consistent way,
it is possible to define a mathematical model of the CSO surviving beyond
s(t) = 1 . Following Tegmark one should thus believe that the CSO will
experience this moment.

Saibal
Received on Fri Oct 13 2000 - 14:06:34 PDT