Re: Stephen Hawking: Philosophy is Dead

2012-07-16 Thread Bruno Marchal


On 14 Jul 2012, at 15:37, Stephen P. King wrote:


On 7/14/2012 4:26 AM, Bruno Marchal wrote:


On 13 Jul 2012, at 20:26, Evgenii Rudnyi wrote:


On 07.07.2012 19:40 John Clark said the following:

On Sat, Jul 7, 2012  Evgenii Rudnyiuse...@rudnyi.ru  wrote:



...


An interesting question is however, where resulting visual mental
concepts are located.



I find it about as interesting as asking where big or the number
eleven is located and shows the same profound misunderstanding of  
the
situation on so many different levels that it's hard to know  
where to

begin.



The question where in physicalism numbers are located is also  
interesting indeed. If you know the answer, I would appreciate it.


As I just said to Stephen, numbers are not located anywhere. They  
are not physical entities.


Bruno


   With this claim it follows that numbers cannot have *any*  
properties that we associate with physical entities. This is a  
problem!


Not if the physical appears to be a stable lawful collective  
hallucination of a class of universal numbers.


But tell me how with a neutral monism, so neutral as to avoid any  
properties at all for the basic entity, you are not making worse that  
very problem for your approach.


Bruno


http://iridia.ulb.ac.be/~marchal/



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Re: Stephen Hawking: Philosophy is Dead

2012-07-16 Thread Bruno Marchal


On 14 Jul 2012, at 18:21, John Clark wrote:


On Sat, Jul 14, 2012  Evgenii Rudnyi use...@rudnyi.ru wrote:

 As far as I understand, theology is about beliefs

Theology is about believing in something when there is absolutely no  
reason for doing so, it is called faith.


Then the danger of cannabis belongs to faith, and I agree with you,  
the modern current health politics is theology.


The definition you give of theology seems to me to be the definition  
given by the fear sellers and the bandits.


I am not sure why you credit them on anything.

On the contrary, I would even defined God/Religion by what you still  
believe in once you succeed in abandoning *all* argument from authority.


With comp, I can argue that the inner God (alias the first person,  
the universal soul, Bp  p, S4GRz1) can play that role for the ideally  
correct machine.


Bruno





Theologians say this is a wonderful virtue and I can understand  
perfectly why a human being would try to peddle faith as the highest  
virtue because if you were trying to push a idea that makes no sense  
faith turns a disadvantage into a advantage. But I'll be damned  
(literally) if I understand why a omnipotent omniscient being thinks  
faith is a good thing and even tries to trick us into believing He  
does not exist and will torture us for eternity if this omnipotent  
being succeeds in fooling us because we don't have enough faith.


 Could you offer some more meaningful picture on the relationship  
between mathematics and physics?


You demand I give a SPATIAL relationship between consciousness and  
numbers and various adjectives like Evgenii Rudnyi, you wanted to  
know where they are located, where they existed in space. I thought  
I did a good job telling you exactly where the number eleven is  
located but perhaps I'm wrong and it's really just below yellow (not  
green) a little to the right of big above sweet and between fast and  
pneumatic. Let's get in the car and go there right now and see if  
its there.


  John K Clark





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Re: Stephen Hawking: Philosophy is Dead

2012-07-16 Thread Bruno Marchal


On 14 Jul 2012, at 15:47, Stephen P. King wrote:


On 7/14/2012 4:46 AM, Bruno Marchal wrote:


On 14 Jul 2012, at 06:16, Stephen P. King wrote:


On 7/13/2012 11:51 PM, meekerdb wrote:

On 7/13/2012 7:31 PM, Stephen P. King wrote:


Does unpredictability that you have mentioned in another  
message will help in this respect? If yes, how?


If you're asking whether unpredictability eliminates  
responsibility, the answer is no.


Brent

Hi Brent,

OK, so does the converse hold? Predictability eliminates  
responsibility? That sentence looks very wrong


Right. Predictability is irrelevant to the social concept of  
responsibility.


Brent
--



OK, so what is relevant? What action is the determinant of a  
given quantity of responsibility? Knowledge? No, that can't be  
because that involves predictability. So, I am at a loose. Please  
enlighten me.


Knowledge of our ignorance. Numbers intrinsic knowledge of their  
own relative ignorance.


Bruno


http://iridia.ulb.ac.be/~marchal/


So then we can think of numbers as quantities of relative  
ignorance?


Not at all. I was thinking of the numbers encoding persons relatively  
to universal numbers. Those numbers bears first person views and can  
acknowledge their ignorance.




That is much better than the ghosts of departed quantities that  
Newton had! But how does this answer my question of responsibility?


Because those numbers can hesitate and take decision acknowledging  
their ignorance, and develop a notion of responsibility.





You are talking to a different question and assuming a measure  
exists where one cannot be defined.


You jump from one subject to another. As I said to John Clark, the  
self-indetermination used in free will has nothing to do with the  
first person indeterminacy, which is related to the measure problem.





The absence of a property is the complement of the property, no?


In some context.


This is where we cannot avoid some form of set theory and it is  
exactly where we get into trouble!


There is no part of Cantor paradise we can really avoid when studying  
machine's psychology. Set theory, complex analysis, you name it. I  
don't see the problem you are alluding too, beyond the fact that comp  
is used here to formulate and make precise some problem indeed.


bruno


http://iridia.ulb.ac.be/~marchal/



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Re: Stephen Hawking: Philosophy is Dead

2012-07-16 Thread Bruno Marchal


On 14 Jul 2012, at 18:48, Stephen P. King wrote:


On 7/14/2012 5:52 AM, Bruno Marchal wrote:


On 14 Jul 2012, at 11:16, Evgenii Rudnyi wrote:


On 14.07.2012 11:00 Bruno Marchal said the following:


On 14 Jul 2012, at 10:42, Evgenii Rudnyi wrote:


...



If to speak about your theorem, it is unclear to me, how the first
person view accesses numbers and mathematical objects.


Like a digital machine, which can access numbers encoded in their
memory, through logical gates, and so one. More details are given
currently on the FOAR list, but the idea is simple, with comp our
bodies are statistical first person constructs related to  
infinities

of number relations, so we access to them a bit like a fish can
access water. The price of this is that we have to abandon
physicalism eventually.


I am not sure if I understand. I would like to have an explanation  
for a phenomenon, for example


1) I see a cat;

2) I see a piece of paper with 2 + 2 = 4.

Yet, when you start explaining, the phenomenon seems to disappear.


1) I see a cat. This is explained by the fact that your current  
computational state belongs to an infinity of computations making  
you singling out some stable patterns that you recognize, by access  
to your previous experience as being cat. The qualia itself is  
explained by the fact that when you refer to the cat, you are  
really referring to yourself (with the implicit hope that it  
corresponds to some relatively independent pattern), and the math  
shows that such a self-reference involves some true but non  
rationally communicable feature. The math explained why, if this  
justification is correct, machines/numbers will not be entirely  
satisfied by it, for the first person is not a machine from its own  
first person view.


Hi Bruno,

No, the reverse is the case. The belongs to an infinity of  
computations making you singling out some stable patterns requires  
the prior existence of the you to select it.


With comp, you, the dreamer's bodies, and its soul, already exist (in  
different modal sense) in arithmetic. Provably so, even in Robinson  
arithmetic, for the 3-view.






The observer (you here) effectively is the measure via a self- 
selection rule.


This makes no sense.



I cannot discount my own existence given the immediate fact that I  
am experiencing myself as existing.


You cannot discount the first person experience. But comp does not  
discount it. It explains how it arises from the ability of numbers to  
observe themselves and extrapolate, etc.




Descartes' Cognito ergo Sum is a pointed statement of this  
unassailable fact. We cannot put the observer on a level that is  
emerging from the computations if the observer is the one that is  
selecting the class of computations that are generating said observer.


? You refute Darwin too?



A possible escape from this is to allow for non-well founded sets  
and such things as non-principle ultrafilters, but I don't know your  
stand on their existence.


Good tools.




Our observation of the cat is a symmetric (within bounds)  
relationship, otherwise we fall into solipsism.


?



My claim is that the same thing follows for mathematical entities.  
We cannot claim that mathematical (or any other abstract entity!)  
is such that we (the observers and understanders thereof) are  
emerging from them.


Prove that claim. Then by UDA, you refute comp.



This would require that the independence is not  and cannot be an  
unbridgeable gap at all, but a analytic continuum connecting the  
particular instance of a physical system with the knowledge and  
meaning of the abstraction. Maths do not refer explicitly to the  
physical media that they are represented upon by patterns, but this  
does not allow us to imagine them as completely independent and thus  
severable from the physical instances.


So many implicit assumption. You seem again to assume the physical.





Even Plato's idea of the Forms as casting shadows on the wall  
of the cave tacitly assumes continuity between the Forms and what  
we the ideas in our individual minds. If I am not mistaken the idea  
of conic sections where used to argue the idea. Shadow or  
projections cannot be severed from the object casting them!


Which can be N, +, *.







2) The same with 2+2=4 written on some paper. It is also a stable  
pattern in the computations going through your state. Here you  
might just refer to what you have learned in school, and you might  
considered that the truth referred by that sentence on a paper is  
more stable than a cat, but the conscious perception of cat or ink  
on paper admits the same explanation: some universal number reflect  
a pattern belonging to almost all computations going through your  
state. You have to take the first person indeterminacy into  
account, and keep in mind that your immediate future is determined  
by an infinity of computations/universal number, going through your  
actual 

Re: Stephen Hawking: Philosophy is Dead

2012-07-16 Thread Bruno Marchal


On 14 Jul 2012, at 18:21, Evgenii Rudnyi wrote:


On 14.07.2012 11:52 Bruno Marchal said the following:


On 14 Jul 2012, at 11:16, Evgenii Rudnyi wrote:


On 14.07.2012 11:00 Bruno Marchal said the following:


On 14 Jul 2012, at 10:42, Evgenii Rudnyi wrote:


...



If to speak about your theorem, it is unclear to me, how the
first person view accesses numbers and mathematical objects.


Like a digital machine, which can access numbers encoded in
their memory, through logical gates, and so one. More details are
given currently on the FOAR list, but the idea is simple, with
comp our bodies are statistical first person constructs related
to infinities of number relations, so we access to them a bit
like a fish can access water. The price of this is that we have
to abandon physicalism eventually.


I am not sure if I understand. I would like to have an explanation
for a phenomenon, for example

1) I see a cat;

2) I see a piece of paper with 2 + 2 = 4.

Yet, when you start explaining, the phenomenon seems to disappear.


1) I see a cat. This is explained by the fact that your current
computational state belongs to an infinity of computations making you
singling out some stable patterns that you recognize, by access to
your previous experience as being cat. The qualia itself is explained
by the fact that when you refer to the cat, you are really referring
to yourself (with the implicit hope that it corresponds to some
relatively independent pattern), and the math shows that such a
self-reference involves some true but non rationally communicable
feature. The math explained why, if this justification is correct,
machines/numbers will not be entirely satisfied by it, for the first
person is not a machine from its own first person view.

2) The same with 2+2=4 written on some paper. It is also a stable
pattern in the computations going through your state. Here you might
just refer to what you have learned in school, and you might
considered that the truth referred by that sentence on a paper is
more stable than a cat, but the conscious perception of cat or ink on
paper admits the same explanation: some universal number reflect a
pattern belonging to almost all computations going through your
state. You have to take the first person indeterminacy into account,
and keep in mind that your immediate future is determined by an
infinity of computations/universal number, going through your actual
state. For example, all the Heisenberg matrices computing the state
of the galaxy at some description level for some amount of steps.
They all provably exist independently of us in a tiny part of
elementary arithmetic, and admit at least as many variants as there
are possible electron location in their energy level orbitals.

I cannot be sure if this helps you as it relies to some familiarity
with the first person indeterminacy and the fact that our comp states
are distributed in an infinity of distinct, from a third person pov,
computations (existing in arithmetic).




Bruno,

Thank you for the answer. I am definitely far away from to  
comprehend it,


You can ask any question on any step. UDA1-8 does not require more  
than a passive understanding of elementary computer science (universal  
machines, computers).



but it looks like that your motive is also close to the Game of  
Life. What difference do you see in this respect?


With comp, after UDA, and supposing it is 100% valid, the choice of  
the universal system for the ontology is arbitrary. The laws of  
physics and the laws of mind are independent of it. So it is better to  
use one which is far from looking physical so that when we derive  
physics we diminish the possible confusions of level. The game of life  
already used a two dimensional grid, and has a notion of physical  
interaction build it, so I prefer to use the numbers. But the GOL is  
quite OK in principle.


Bruno


http://iridia.ulb.ac.be/~marchal/



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Re: Stephen Hawking: Philosophy is Dead

2012-07-16 Thread John Clark
On Sun, Jul 15, 2012  Bruno Marchal marc...@ulb.ac.be wrote:

  Theology is about believing in something when there is absolutely
 bsolutely no reason for doing so, it is called faith.

  Then the danger of cannabis belongs to faith,


Yes, absolutely.

 The definition you give of theology seems to me to be the definition
 given by the fear sellers and the bandits.


I don't know what that means.

I am not sure why you credit them on anything.


Nor that.

 On the contrary, I would even defined God/Religion by what you still
 believe in once you succeed in abandoning *all* argument from authority.


So 2+2 = 4 is God/Religion. Face it, you throw around the words God,
Religion and Theology all the time but without any clear non-contradictory
definition of any of them, nor can you come up with a example that is not
completly ridiculous. The closest you have come is that when arguing with a
atheist like me theology is a convenient insult you can throw if the
atheist says something you disagree with.  And calling someone that you
know doesn't like religion religious is not exactly a new putdown, I
believe I first heard it around 1964.

 With comp, I can argue that the inner God (alias the first person, the
 universal soul, Bp  p, S4GRz1) can play that role for the ideally correct
 machine.


And in spite of your frequent use of the word, or more likely because of
it, I am no longer even clear about what exactly your homegrown term comp
is supposed to mean.

John K Clark

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Re: Stephen Hawking: Philosophy is Dead

2012-07-16 Thread meekerdb

On 7/15/2012 9:21 PM, Stephen P. King wrote:


Interesting. So the unitary evolution of the SWF or state vector is not continuous 
over its spectrum or what ever it is called ... the cover or span of the basis? 


It's continuous, but decoherence picks out different subspaces which are almost 
perfectly orthogonal and correspond to different classical events.  There's a different 
you in each of these subspaces corresponding to seeing Schrodinger's cat alive or dead.


Hi Brent,

Does not seem as if decoherence is a bit too clever by half? I am very interested in 
this process that we are calling decoherence. Where does it get this ability to pick 
out different subspaces which are almost perfectly orthogonal? 


It's a consequence of the interaction Hamiltonian between a measuring device and the 
environment (which may just be part of the measuring device).  Observable states that 
commute with this Hamiltonian will be stable and constitute a record.  So the stable 
subspaces are the eigenspaces of this interaction Hamiltonian.  But you're right that is 
only a partial solution to the measurement problem.  That's because the division into 
systems - thing measured, measurement instrument (or observer), and environment - is a 
choice we make in our description.  And the operation of tracing (averaging) over the 
unknown environment modes is a mathematical operation we perform in our description - not 
a physical process.  The cross terms in the reduced density matrix average to zero so then 
the matrix just has normal probability measures along its diagonal.


I was operating under the belief that all of the vectors (in the Hilbert space involved) 
are strictly orthogonal and are so perpetually. 


No.  They are no more necessarily orthogonal than vectors you might draw on a plane. 
Presumably the state of the universe/multiverse as a whole is a single ray in the Hilbert 
space of the universe/multiverse.   But the application of the theory is always to 
subspaces describing different things as the-thing-measured, the measuring-apparatus, etc. 
and Hilbert spaces constructed as tensor products of these.


Schlosshauer explains this better and at greater length than I can.

Brent

Where do these subspaces come from? Are they defined by subsets of the state vectors 
(or eigenvectors)? How is the diffeomorphism invariance (that the unitary evolution is 
equivalent to!) get preserved in this process? How does tracing out eliminate things?


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Re: Stephen Hawking: Philosophy is Dead

2012-07-16 Thread Stephen P. King

On 7/16/2012 1:56 PM, meekerdb wrote:

On 7/15/2012 9:21 PM, Stephen P. King wrote:


Interesting. So the unitary evolution of the SWF or state 
vector is not continuous over its spectrum or what ever it is 
called ... the cover or span of the basis? 


It's continuous, but decoherence picks out different subspaces which 
are almost perfectly orthogonal and correspond to different 
classical events.  There's a different you in each of these 
subspaces corresponding to seeing Schrodinger's cat alive or dead.


Hi Brent,

Does not seem as if decoherence is a bit too clever by half? I am 
very interested in this process that we are calling decoherence. 
Where does it get this ability to pick out different subspaces which 
are almost perfectly orthogonal? 


It's a consequence of the interaction Hamiltonian between a measuring 
device and the environment (which may just be part of the measuring 
device).  Observable states that commute with this Hamiltonian will be 
stable and constitute a record.  So the stable subspaces are the 
eigenspaces of this interaction Hamiltonian.  But you're right that is 
only a partial solution to the measurement problem.  That's because 
the division into systems - thing measured, measurement instrument (or 
observer), and environment - is a choice we make in our description.  
And the operation of tracing (averaging) over the unknown environment 
modes is a mathematical operation we perform in our description - not 
a physical process.  The cross terms in the reduced density matrix 
average to zero so then the matrix just has normal probability 
measures along its diagonal.


Hi Brent,

What I am interested in, among other things, is to drill down into 
this environment notion. So far it seems to be a repackaged version of 
the heat reservoir http://en.wikipedia.org/wiki/Heat_reservoir of 
old Clausius 
http://en.wikipedia.org/wiki/Second_law_of_thermodynamics#Clausius_statement 
and Boltzmann days. It is its infinity that troubles me; It is an 
effectively infinite pool of thermal energy 
http://en.wikipedia.org/wiki/Thermal_energyat a given, 
constanttemperature http://en.wikipedia.org/wiki/Temperature. The 
temperature of the reservoir does not change irrespective of whetherheat 
http://en.wikipedia.org/wiki/Heatis added or extracted.. Is there a 
finite version that we could consider that if taken to an infinite limit 
will give us the same nice ideal concept but that in a large but finite 
case does not allow us to get away with tracing out and other cheats 
that we do with StatMec 
http://en.wikipedia.org/wiki/Statistical_thermodynamics. I think that 
if we stop thinking of the environment as a ideal entity and instead 
model it as a large but finite collection of systems - like oscillators 
- that do indeed absorb the phase relations such that we end up with 
systems with mixed states.
The point is that we never should start of thinking of pure systems 
that are completely cut off from each other and thus have no possibility 
of representing interacting systems (there do not exist interaction 
Hamiltonians for such!), we start off our models assuming that all the 
systems are in mixed states and identify them in terms of things like 
centers of mass, etc. The only real pure state system is the 
observable universe itself (if it is actually closed!). I am trying to 
link this back to the math, but I need to lay out some of my thinking in 
informal terms...





I was operating under the belief that all of the vectors (in the 
Hilbert space involved) are strictly orthogonal and are so perpetually. 


No.  They are no more necessarily orthogonal than vectors you might 
draw on a plane. Presumably the state of the universe/multiverse as a 
whole is a single ray in the Hilbert space of the 
universe/multiverse.   But the application of the theory is always to 
subspaces describing different things as the-thing-measured, the 
measuring-apparatus, etc. and Hilbert spaces constructed as tensor 
products of these.


OK, gotcha. It is the basis that is made up of strictly orthogonal 
vectors. One problem that I have noticed is that Hilbert spaces are too 
simple for the kinds of questions that I am asking. They only allow a 
very limited kind of functions and assume ZF type set theory. I cannot 
see how to fit Streams 
http://plato.stanford.edu/entries/nonwellfounded-set-theory/#1.1.1 
into them. :_(




Schlosshauer explains this better and at greater length than I can.


I have printed that paper out and am carrying it around re-reading 
it. It is quite good. I agree.




Brent

Where do these subspaces come from? Are they defined by subsets of 
the state vectors (or eigenvectors)? How is the diffeomorphism 
invariance (that the unitary evolution is equivalent to!) get 
preserved in this process? How does tracing out eliminate things?





--
Onward!

Stephen

Nature, to be commanded, must be obeyed.
~ Francis Bacon

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Re: Stephen Hawking: Philosophy is Dead

2012-07-16 Thread Evgenii Rudnyi

On 15.07.2012 16:50 Bruno Marchal said the following:


On 14 Jul 2012, at 18:21, Evgenii Rudnyi wrote:


...


but it looks like that your motive is also close to the Game of
Life. What difference do you see in this respect?


With comp, after UDA, and supposing it is 100% valid, the choice of
the universal system for the ontology is arbitrary. The laws of
physics and the laws of mind are independent of it. So it is better
to use one which is far from looking physical so that when we derive
physics we diminish the possible confusions of level. The game of
life already used a two dimensional grid, and has a notion of
physical interaction build it, so I prefer to use the numbers. But
the GOL is quite OK in principle.


That is my problem. I do not understand how it would be possible to play 
chess in the Game of Life.


Evgenii

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