On Wed, Feb 19, 2014 at 12:39:59AM +0000, David Nyman wrote:
> On 19 February 2014 00:15, Russell Standish <[email protected]> wrote:
> 
> > On Tue, Feb 18, 2014 at 11:22:55PM +0000, David Nyman wrote:
> > > On 18 February 2014 22:34, Russell Standish <[email protected]>
> > 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.
> >
> 
> Ah, right. So one has to keep in mind that it takes the running of the UD
> (or at least enough of it) to support a coherent formulation of CTM in the
> first place (essentially because once one assumes that consciousness
> supervenes on computation it becomes illegitimate to place arbitrary
> restrictions on what computations are deemed to exist). If so, assuming
> CTM, one can then use the a posteriori fact of conscious observation to
> justify the claim that the Multiverse must be robust enough (in that sense)
> to support the UD, especially given the independent plausibility of this
> assumption. Is that it, more or less?
> 
> You're right that it's subtle. It's easy to miss (Edgar for one seems to
> miss it completely). It seems to require a conceptual leap to the necessity
> of a computational infinity with observer selection as the arbitrator of
> the stability of physical appearance (the Programmatic Library of Babel).
> Perhaps the UDA could spell this out more explicitly in step 7 (I can't
> bring to mind what it actually says at that point)?
> 

I have promised (to myself) to write a paper discussing these issues
(something along the lines of "MGA revisted"), because I don't think
the current literature adequately addresses this. But I have so many projects!

Whilst I don't think the Multiverse necessarily entails the leap to
computational infinity, I think it must have sufficient computational
power to entail the independence of physics from ontology (of the
concrete quantum universe).

Anyway, hopefully I can get to that paper so that we can discuss this more.

-- 

----------------------------------------------------------------------------
Prof Russell Standish                  Phone 0425 253119 (mobile)
Principal, High Performance Coders
Visiting Professor of Mathematics      [email protected]
University of New South Wales          http://www.hpcoders.com.au
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