On Mon, Mar 05, 2007 at 04:31:23PM +0100, Bruno Marchal wrote:
> 
> I will try. I will, by the same token, answer Mohsen question here:
> 
> 
> 
> 
> Mohsen:
> > I don't know if in the hypothesis of simulation, the conflict of 
> > Countable and Uncountable has been considered.
> 
> 

...

> 
> In particular, for Mohsen's question, the conflict between countable 
> and uncountable appears to be an unavoidable conflict between first and 
> third person points of view. 

Bruno's answer is right, but not necessarily the easiest to
understand. A very simple way of putting it is to consider sampling a
random bitstream. Every time a bit is sampled, the Multiverse branches
with the observed bit being 0 or 1 depending on your branch. If you
were to continue for an infinite amount of time, each observer will
have observed a real number. However after any finite amount of time,
all the observers have are rational approximations to real numbers.

Just so in our real world. You can either think of each of us as
sampling multiple random bitstream, or alternatively weaving together
all of the data streaming into our senses into a single bitstream. Its
mathematically equivalent, of course. All of our physical measurements
are rational approximations, and are continually refined as we
continue our measurements.

Cheers

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