On Tue, Feb 18, 2014 at 11:22:55PM +0000, David Nyman wrote:
> On 18 February 2014 22:34, Russell Standish <li...@hpcoders.com.au> wrote:
> 
> On Tue, Feb 18, 2014 at 02:06:37PM +0000, David Nyman wrote:
> > >
> > > I must admit it hasn't been entirely clear to me why you decided that the
> > > MGA can go through without addressing the counterfactuals, especially
> > since
> > > Maudlin felt he had to address them in his alternative formulation. I
> > > appreciate that Maudlin proceeds by trivialising the amount of activity
> > > involved in the computation whereas MGA relies on evacuating the notion
> > of
> > > physical computation itself, but does the latter approach obviate the
> > need
> > > to account for any possible counterfactual activity?
> > >
> >
> > If the counterfactuals are physical (Multiverse situation), then we
> > are automatically in a robust universe (for which the reversal is
> > already addressed by step 7).
> 
> 
> Right. Sorry if I'm being a bit slow. I can see that if there is a
> Multiverse then we automatically get the physical counterfactuals in any
> given situation. But I'm not sure that I get the point that a physical
> Multiverse guarantees the actual physical computation of the UD (or rather
> its completed trace), which I assume is necessary to the reversal (in the
> sense that the infinity of computation intrinsic to the UD* is assumed to
> swamp every competing measure). I guess that means that I haven't
> understood quite what is meant by robust here. Can you help with what I'm
> missing?

Fair enough - it's a bit subtle. A quantum computation running in a
Multiverse has all possible states of its input bits executed
simulatenously. That is the meaning of a qubit. I can run a variant of
the dovetailer algorithm that actually executes its program in
parallel, exponentially speeding up the process. Our observed universe
has sufficient quantum computing resources to be able to run enough of
the UD to end up emulating conscious observers.

It seems clear to me that the physical processes we see
instantiating consciousness are quantum in nature, spread out over the
Multiverse, executing a collection of programs like a dovetailer,
including conscious ones.

So whilst the Multiverse may not be strictly speaking robust in the sense
of having infinite computational resources, it does have sufficient
resources to emulate enough of the dovetailer to include consious
programs, and in fact is doing so, by virtue of the fact we observe
consioud processes. This is enough for the distinction beween step 7
and step 8.


> 
> If the universe is not robust, then the
> > counterfactuals are not physical, and so if physical supervenience
> > were true, the counterfactuals are irrelevent to supervenience.
> >
> 
> Yes, I get that part. So robust = Multiverse?
> 

Sort of. Maybe. :) Certainly, the presence of a UD entails a
Multiverse. And a Multiverse containing conscious entities is
sufficiently robust for the reversal to occur.

BTW - for those wanting to know if I ever changed my mind - until a
year ago, I thought the Multiverse was a clear contraindicator to the
Maudlin/MGA argument. And recently the realisation that all programs
correspond to the proof of some sigma_1 proposition resolved a qualm I
had with the use of Theatetus's notion of knowledge when applied to machines.

Cheers 
-- 

----------------------------------------------------------------------------
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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