On Fri, Oct 14, 2011 at 06:40:04PM -0700, meekerdb wrote:
> On 10/14/2011 5:50 PM, Russell Standish wrote:
> >
> >I know there are only a countable number of programs. Does this entail
> >only a countable number of histories too? Or a continuum of histories?
> >I did think the latter (and you seemed to agree), but I am partially
> >influenced by the continuum of histories available in the "no
> >information" ensemble (aka "Nothing").
>
> There must be a continuum of histories since there are infinitely
> long histories which go through a given state (or is it an OM - I
> don't think they are the same) infinitely many times. But if you're
> only looking ahead a finite interval then it seems there would only
> be a countable, or even finite, number of continuations. That would
> be the relative measure for predicting physics.
>
> Brent

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I was assuming that the histories are infinite in general. It would be
surprising if all consciousnesses were halting programs.
Just because there is an infinite number of histories passing through each
OM does not imply the cardinality of the histories is greater than aleph_0.
Cheers
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Prof Russell Standish Phone 0425 253119 (mobile)
Principal, High Performance Coders
Visiting Professor of Mathematics hpco...@hpcoders.com.au
University of New South Wales http://www.hpcoders.com.au
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