RE: Maudlin's argument

2006-10-14 Thread Stathis Papaioannou


Russell Standish writes:

 If the same QM state is associated with different observer moments,
 you must be talking about some non-functionalist approach to
 consciousness. The QM state, by definition, contains all information
 that can be extracted from observation.

Functionalism explicitly allows that different physical states may implement 
the same observer moment. For example, OM1 could be implemented on a 
computer running Mac OS going through physical state S1, or by an equivalent 
program running on the same computer emulating Windows XP on Mac OS 
going through state S2. In this way, there is potentially a large number of 
distinct physical states S1, S2... Sn on the one machine all implementing OM1. 

Is there any reason to suppose inclusion of a physical state in this set S1... 
Sn 
prevents it from implementing any OM other than OM1? It seems that you would 
quickly run out of useful states on a finite state machine if this were so. 
Perhaps
it would be possible in the case of any state Si to reverse engineer a language 
or operating system under which Si is implementing OM1 (I don't know if this 
can be shown rigorously), which would mean that any Si implementing another 
observer moment OM2 would also be implementing OM1. The conclusion would 
be that the relationship between QM states and OMs could be one-many.

Stathis Papaioannou
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Re: To observe is to......

2006-10-14 Thread David Nyman



On Oct 14, 5:32 am, Colin Geoffrey Hales [EMAIL PROTECTED]
wrote:

 Indeed I would hold that our subjective experience (subjectivity)is our
 one and only intimate and complete connection to the underlying reality
 and it is the existence of it (subjectivity) 'at all' which is most
 telling/instructive  of the true nature/structure of the underlying
 reality, not the appearances thus delivered by subjectivity.

Yes, and as I've said, I was trying to convey the essence of this
thought with what became (unfortunately) confused with 1-person primacy
on this list. I'd be grateful for help on reformulating this more
coherently if possible. The heart of it is the primary intension of
'exists', whose fons et origo I take to be: 'exists in the sense that I
exist subjectively'. The problem is that as soon as one formulates it
in this way, all sorts of unlooked for windmills spring up for the Don
Quixotes of the logical mind to struggle with. Somehow one must avoid
being distracted into grappling with pseudo-problems of pansychism,
idealism, solipsism etc. - in their timeworn academic clothing - and
focus on the embeddedness, or 'here-ness' that is central to this
primary sense of 'exists', and see that everything else is somehow
derivative of, or emergent from, this primary intension. And, as you
say, by this token we are of course ourselves directly rooted in this
reality, whatever it is.

 The belief that the
 'underlying reality is actually made of quantum mechanics (as opposed to
 being merely described by it) to me looks like a mass delusion of the most
 bizarre kind.

One implication of this (which I think is also implied by comp) is that
1-person experience derives from a more complex instantiation than the
3-person narrative that emerges from it. That is, there is a global
instantiation level of sufficient complexity to express 1-person
existence 'qualitatively'. At this level, qualitative modalities -
'qualia' - also function as stripped-down 'relata', encoding '3-person
worlds' of structure, relation, transaction, and locality. We may
speculate, for example, that our experientially dynamic discrimination
(A-series) of relation and structure (B-series) emerges from the
'unmediated intuitive grasp' of such relational locality within
qualitative globality. All this strongly entails that we will never
find the 1-person within the 3-person. The evidence of course is
perhaps already staring us in the face, were we to accept it as such.
There is nothing at all in the 3-person that looks like, or that we
have any notion could possibly look like, the 1-person. Maybe this is
why.

David

 snip

 [Colin Hales]
 No, it's better visualised as 'being a not-mirror' :-)
 Imagine you embedded a mirror in your head, but you were only interested
 in everything the mirror was not. That is, the image in the mirror is
 manipulating the space intimately adjacent to the reflecting surface.
 Keep the space, throw the reflecting surface and glass away. What you are
 interested in is 'being' that space, not the mirror. When you do that
 the 'movie screen' that is the experiential field becomes part of you. Yes
 it's a play, only 1 viewer who literally 'is' the theatre, no regressing
 homunculi.

 [David Nyman]
 Oddly, I think I *see* what you mean (and I use the term advisedly).  One
 of the problems we experience in discussing these issues (certainly  I do,
 anyway) is the lack of a really effective way to share powerful
 *visualisations* of what we're proposing. Not everything we're trying  to
 express is formalisable (at this stage anyway) in mathematical or
 strictly logical terms. I've tried to express before this image of the
 relationship between what-is-functioning-as-perceiver and
 what-is-functioning-as-percept, and the picture in my head was always
 something like you describe. And the key aspect is that you *are* this
 relationship, your grasp of the situation is unmediated, there is no
 regress. For me, this is the primary intension of 'exists', and it lies
 at the heart of what I confusingly referred to as 1-person primacy -
 meaning only that you can't come by any of this unless you *are* the
 entity in question. The commitment is total - there is no way of
 climbing outside of this to study the situation 'objectively'.

 [Colin Hales]
 Glad to 'see' that you 'see'. :-)

 It is very interesting to see how much trouble people have with this and
 it is very ironic because it is the position we naturally inhabit (all
 observation is subjectivity), yet the subjectivity delivers the capacity
 to behave objectively so brilliantly we think we have actually stepped
 back from it... but as you say...

 there is no way of climbing outside of this to study the situation
 'objectively'

 Yet that is what we scientists insist we are doing! Without subjectivity
 there's no 'objectivity' (in the form of an 'as-if' or virtual
 objectivity) to be had. The descriptions we define as 'objective' and
 describe 'objectively' are merely 

Re: Maudlin's argument

2006-10-14 Thread marc . geddes


Russell Standish wrote:
 On Fri, Oct 13, 2006 at 07:03:18AM -, [EMAIL PROTECTED] wrote:
 
  Also see my reply to Russell below:
 
 
  Russell Standish
  
  The Multiverse is defined as the set of consistent histories described
  by the Schroedinger equation. I make the identification that a quantum
  state is an observer moment, and the set of consistent quantum
  histories is the set of observer histories. As such all observer
  moments are in the Multiverse.
  
  But I appreciate this is not a widely held interpretation...
 
 
  Indeed so.  And there's a good reason why it isn't a widely held
  interpretation, as J.barbour explained in 'The End Of Time'.  In order
  to define 'the Multiverse' in terms of QM one needs a *static*
  wave-function solution for the entire universe (one which doesn't
  change) , whereas conventional QM solutions to real world problems are
  *dynamic* wave-function solutions (wave functions which evolve with
  time).  No one has yet succeeded in demonstrating a static
  wave-function solution for the entire universe.
 

 I haven't read Barbour's book, but if that is what he is saying, he
 would be wrong. Consider a universe of a single electron living in a
 potential well V(x)=|x|^2, x\in R^3. There is a well defined solution
 \psi(t,x) = \sum_j \psu_0|jj| exp(-iE_j t) given the initial
 condition \psi_0.

 The function \psi: R x R^3 - C is a static (time independent)
 mathematical object (I wrote it the mathematicians write to emphasize
 this point). Why wouldn't you identify this with the Multiverse of
 that electron?

 Now I am aware that several people (Hawking included I gather) have
 proposed various wave functions of the universe, which tend to be
 solutions of the Wheeler de Witt equation, which is a time independent
 equation. However, I'm not so interested in following that literature.


Barbour argues the same way you do.  But he does concede that his
argument is not yet proven.  The trouble is that in the case of, for
instance, the electron, in the example you give, there is still an
environment external to the electron, but for the entire universe there
could be nothing external to the wave function of the universe.  And
the wave function of the universe, if the block-universe picture is
right, would have to be a static equation as well, as I mentioned
above.  Apparently, none of the proposals for time-independent
equations of the entire universe have yet been made to work.



  See what I said above.  If the *same* QM state could be associated with
  *different* observer moments, then observer moments would not be
  reducible to QM states and the set of consistent quantum histories
  could not be said to be fully identified with the set of observer
  histories.
 

 If the same QM state is associated with different observer moments,
 you must be talking about some non-functionalist approach to
 consciousness. The QM state, by definition, contains all information
 that can be extracted from observation.

 Cheers



See above.  As was pointed out, functionalism allows for one-to-many
relationships between conscious experiences and the physical substrates
on which these experiences are instantiated.

What I really mean by 'observer moment' in the fullest sense of the
phrase is 'conscious experience'.  Conventional QM cannot yet explain
how the actual consciously observed reality is supposed to emerge from
the QM wave-function.  As has been pointed out, the observed reality
can only be derived from QM+Additional Assumptions.  There are implicit
theories of consciousness in any account of how the actual observed
reality is supposed to emerge from the QM wave-function and convincing
explanations for how or why these assumptions are supposed to work are
not yet forth-coming.

How does the *observed* (classical) reality emerge from the QM
wave-function?  Not explained!  Coarse graining, decoherence,
consistent histories etc etc don't yet convincingly explain it.

Until these questions are fully resolved, doubt must remain about the
static timeless 'block universe' picture put forward by hard-core
multiverse fans.


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Re: Maudlin's argument

2006-10-14 Thread Russell Standish

I don't quite follow your argument. OMs are not computations. Whatever
they are under computationalism, they must be defined by a set of
information, a particular meaning to a particular observer.

Quantum states have this property. For observables that the state is
an eigenvalue of, the state contains precise information about those
observables. For observables that the state is not an eigenvalue of,
there is still information about relative proportions of different
outcomes of measurement.

If I understand your argument correctly, you say that 1 string of bits could
be interpreted in multiple ways by multiply different observers. This
is true regardless of whether we accept computationalism. But you
can't associate quantum states with uninterpreted strings - each quantum
state is an interpretation.

Perhaps where some confusion lies is when we use a quantum state to
refer to a subsystem of the universe, eg that experiemental apparatus
over there on the lab bench. This is the typical situation in QM
calculations. What this state is is the projection of the full QM
state onto the subspace of interest (the apparatus) with all other
dimensions summed over (traced out in mathematical parlance). In
this case, this projected QM state describes not a full observer
moment, but only a component of one. And of course there will be
multiple observer moments sharing that component.

Cheers

On Sat, Oct 14, 2006 at 04:39:17PM +1000, Stathis Papaioannou wrote:
 
 
 Russell Standish writes:
 
  If the same QM state is associated with different observer moments,
  you must be talking about some non-functionalist approach to
  consciousness. The QM state, by definition, contains all information
  that can be extracted from observation.
 
 Functionalism explicitly allows that different physical states may implement 
 the same observer moment. For example, OM1 could be implemented on a 
 computer running Mac OS going through physical state S1, or by an equivalent 
 program running on the same computer emulating Windows XP on Mac OS 
 going through state S2. In this way, there is potentially a large number of 
 distinct physical states S1, S2... Sn on the one machine all implementing 
 OM1. 
 
 Is there any reason to suppose inclusion of a physical state in this set 
 S1... Sn 
 prevents it from implementing any OM other than OM1? It seems that you would 
 quickly run out of useful states on a finite state machine if this were so. 
 Perhaps
 it would be possible in the case of any state Si to reverse engineer a 
 language 
 or operating system under which Si is implementing OM1 (I don't know if this 
 can be shown rigorously), which would mean that any Si implementing another 
 observer moment OM2 would also be implementing OM1. The conclusion would 
 be that the relationship between QM states and OMs could be one-many.
 
 Stathis Papaioannou
 _
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email came from me if you have PGP or GPG installed. Otherwise, you
may safely ignore this attachment.


A/Prof Russell Standish  Phone 0425 253119 (mobile)
Mathematics  
UNSW SYDNEY 2052 [EMAIL PROTECTED] 
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Re: Maudlin's argument

2006-10-14 Thread marc . geddes


Russell Standish wrote:
 I don't quite follow your argument. OMs are not computations. Whatever
 they are under computationalism, they must be defined by a set of
 information, a particular meaning to a particular observer.

 Quantum states have this property. For observables that the state is
 an eigenvalue of, the state contains precise information about those
 observables. For observables that the state is not an eigenvalue of,
 there is still information about relative proportions of different
 outcomes of measurement.

A wavefunction itself does contain information about the 'relative
proportions of different outcomes of measurement' (as you put it) but
extracting this information requires 'extra assumptions' apart from QM.
 We don't see half-dead, half-alive cats after all.  Why not?  Why do
we only 'observe' classical reality (i.e objects in definite states)?
This is what is not fully explained by QM.

Perhaps I should revise what I said somewhat: I can agree with you that
the 'consistent histories' that you mentioned earlier are equiavlent to
observer histories.  But it's the supposed derivation of these
'consistent histories' from the QM multiverse picture that I'm
doubting.  In other words I think that somewhere along the way some
'extra non-QM assumptions' have slipped in ;)


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Re: Maudlin's argument

2006-10-14 Thread Russell Standish

On Sun, Oct 15, 2006 at 02:37:10AM -, [EMAIL PROTECTED] wrote:
 
 Barbour argues the same way you do.  But he does concede that his
 argument is not yet proven.  The trouble is that in the case of, for
 instance, the electron, in the example you give, there is still an
 environment external to the electron, but for the entire universe there
 could be nothing external to the wave function of the universe.  And

In the example I gave, there was only one electron in the
universe. There is no external environment. Sure it is only a thought
experiment, since the only universe we know about is not like this,
but it was deliberately constructed to expose the flaw in your argument.

 the wave function of the universe, if the block-universe picture is
 right, would have to be a static equation as well, as I mentioned
 above.  Apparently, none of the proposals for time-independent
 equations of the entire universe have yet been made to work.
 

I guess this is not something I care about much one way or the other...

 
 
   See what I said above.  If the *same* QM state could be associated with
   *different* observer moments, then observer moments would not be
   reducible to QM states and the set of consistent quantum histories
   could not be said to be fully identified with the set of observer
   histories.
  
 
  If the same QM state is associated with different observer moments,
  you must be talking about some non-functionalist approach to
  consciousness. The QM state, by definition, contains all information
  that can be extracted from observation.
 
  Cheers
 
 
 
 See above.  As was pointed out, functionalism allows for one-to-many
 relationships between conscious experiences and the physical substrates
 on which these experiences are instantiated.
 

Sure, but it also says these conscious experiences will be unable to
to detect which hardware they are running on (otherwise they'd be
different conscious experiences). If the two different physical
implementations differed in their quantum state, then there would be a
physical measurement that could distinguish them (disregarding the
nonphysical arbitrary complex-valued scaling factor). So the quantum
states describing these different physical systems must be the same
(up to a scaling factor).

 What I really mean by 'observer moment' in the fullest sense of the
 phrase is 'conscious experience'.  Conventional QM cannot yet explain
 how the actual consciously observed reality is supposed to emerge from
 the QM wave-function.  As has been pointed out, the observed reality
 can only be derived from QM+Additional Assumptions.  There are implicit
 theories of consciousness in any account of how the actual observed
 reality is supposed to emerge from the QM wave-function and convincing
 explanations for how or why these assumptions are supposed to work are
 not yet forth-coming.
 
 How does the *observed* (classical) reality emerge from the QM
 wave-function?  Not explained!  Coarse graining, decoherence,
 consistent histories etc etc don't yet convincingly explain it.
 
 Until these questions are fully resolved, doubt must remain about the
 static timeless 'block universe' picture put forward by hard-core
 multiverse fans.
 

My guess is that it will arise from things like Stenger's point of
view invariance (POVI) principle. But you are right that there is
still much to be worked out, starting from why we experience living in
a 3+1 spacetime.

My point on the block universe picture is that it is a valid picture
(but not the only one) iff physics is deterministic. Standard quantum
mechanics without collapse is deterministic. Hence the block
Multiverse. If you follow Copenhagen or Bohm, then there can't be a
block Multiverse, nor a block universe for that matter.

 
 
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A/Prof Russell Standish  Phone 0425 253119 (mobile)
Mathematics  
UNSW SYDNEY 2052 [EMAIL PROTECTED] 
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Re: Maudlin's argument

2006-10-14 Thread Russell Standish

On Sun, Oct 15, 2006 at 03:21:52AM -, [EMAIL PROTECTED] wrote:
 
 
 Russell Standish wrote:
  I don't quite follow your argument. OMs are not computations. Whatever
  they are under computationalism, they must be defined by a set of
  information, a particular meaning to a particular observer.
 
  Quantum states have this property. For observables that the state is
  an eigenvalue of, the state contains precise information about those
  observables. For observables that the state is not an eigenvalue of,
  there is still information about relative proportions of different
  outcomes of measurement.
 
 A wavefunction itself does contain information about the 'relative
 proportions of different outcomes of measurement' (as you put it) but
 extracting this information requires 'extra assumptions' apart from QM.
  We don't see half-dead, half-alive cats after all.  Why not?  Why do
 we only 'observe' classical reality (i.e objects in definite states)?
 This is what is not fully explained by QM.
 
 Perhaps I should revise what I said somewhat: I can agree with you that
 the 'consistent histories' that you mentioned earlier are equiavlent to
 observer histories.  But it's the supposed derivation of these
 'consistent histories' from the QM multiverse picture that I'm
 doubting.  In other words I think that somewhere along the way some
 'extra non-QM assumptions' have slipped in ;)
 
 

Perhaps you should read my paper Why Occam's Razor - available from
my website, or an arXiv mirror near you (http://www.arXiv.org).

The assumptions I run off are called TIME and PROJECTION, as well as
the Kolmogorov probability axioms (and the set theoretic axioms
underlying them). From this, I can derive the main QM postulates,
aside from the odd man out Correspondence principle. The CP itself
can be obtained from Stenger's POVI, but needs 3+1 Minkowski
spacetime.

Probably what you think of as the extra non-QM assumptions are the TIME
and PROJECTION postulates, but these are relatively minimal models of
consciousness. Things like thermostats probably also satisfy TIME and
PROJECTION :).

Cheers

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Mathematics  
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*Off topic* Puzzle challenge for $US 2 million

2006-10-14 Thread marc . geddes

Because I'm fascinated by high-complexity type puzzle contests (i.e
puzzles lasting 6 months or more) as a possible way to test really high
IQ's.  It's also indirectly relevent to 'theories of everything' since
'the universe' is one giant puzzle ;)

The Challenge

'Secret's of the Alchemist Dar' (released end of Sep, 2006).  It's a
childen's book.  But buried in the illustrations and text are clues
leading to $US 2 million in prizes.  You're looking for 'diamond rings'
- there are 100 on offer for the first people to crack the puzzles but
I think that no physical searching is involved.  You're not told what
to do or how to claim your prizes though.  This is part of what you
have to solve.  No advanced math is required - the book is a
*children's book* and I think the puzzle is designed such that a bright
child should in theory be able to solve it.

The contest is open to every-one in the US, Canada, UK, Ireland,
Australia, NZ, France, Germany, Signapore, Hong Kong and Japan.  It's
world-wide.  Books are avaliable in all book-shops (New Releases and/or
Children's Section).

Be the first to crack the top puzzle and win a red diamond of 'eternal
life' valued at
$US 1 million (or take substitute cash prize).

Amazon link:
http://www.amazon.com/Secrets-Alchemist-Dar-Treasures-Trove/dp/0976061880/

Official puzzle web-site and forums:
http://www.atreasurestrove.com/Public/News-Updates/SecretsoftheAlchemistDar/index.cfm

--

Puzzles like this might be good practice for constructing theories of
everything.  I've been doing this for a week or two and there's a very
entertaining code in the back section.  Who wants to take up the
challenge then?

(Be warned though: Treasure hunts like this are very addictive and
puzzles of this level of complexity usually take between 6-9 months
before a solution emerges).


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