Re: up to some resource bound

2012-02-17 Thread Bruno Marchal


On 17 Feb 2012, at 06:53, Stephen P. King wrote:


On 2/17/2012 12:00 AM, meekerdb wrote:


On 2/16/2012 7:27 PM, Stephen P. King wrote:


On 2/16/2012 7:09 PM, acw wrote:


Do you understand at all the stuff about material and idea  
monism that I
have mentioned previously? We are exploring the implications of  
a very
sophisticate form of Ideal Monism that I am very much interested  
in, as

it has, among other wonderful things, an unassailable proof that
material monism is WRONG. What I am trying to discuss is how  
this is a
good thing but the ontological theory as a whole that it is  
embedded in
has a problem that is being either a) misunderstood, b) ignored  
or both.
To be fair, I still have trouble understanding your objections to  
UDA 8/MGA, and this discussion has been going on for quite some  
time now, maybe I'm just incapable of seeing the subtle  
distinction that you're trying to draw. Bruno postulates  
arithmetic or combinators, but if you want a different  
ontological foundation, you can formulate it and see how it fits  
within COMP (in case you assume it) and how that changes  
predictions and/or explanations.

Hi ACW,

My objection to UDA 8/MGA is that it assumes something that is  
is deeply problematic. There is a difference between Computational  
universality, in the sense of any given recursively enumerable  
algorithm is universal if it does not depend for its functional  
properties on a particular physical implementation of it, and the  
ideas that Recursively Enumerable Algorithms (REA) have properties  
and run completely independent of the possibility of  
implementation in  physical hardware.


My proof is mathematical but may be very poorly explained  
because I have a very hard time translating my thoughts into words  
and for this I apologize. I am hoping that you can see past the  
words and grok the meaning.
I am identifying the invariant aspect of a REA with a fixed  
point in a manifold of transformations where the points that  
make up the manifold represent the physical systems capable of  
implementing the REA and then applying Brouwer's Fixed point  
theorem:



How can Brouwer's fixed point theorem be applied computers of REAs,  
they don't form a manifold.


Hi Brent,

This is where my inability to express this idea in English puts  
me in a very unpleasant situation. Honestly, you might as well count  
as just wrong. I'll accept that. But I will bet that I'm right. :-)  
I just don't know how to explain my idea any better at the moment. I  
will predict one thing, there will be a paper published within the  
year that will cover this idea by someone with the right skills. I  
will just be happy to have come to understand it on my own.



here is an example for Wiki.
In the plane
Every continuous function f from a closed disk to itself has at  
least one fixed point.
Think about this: Does the fixed point continue to exist if  
the collection of points making up that closed disc or the  
continuous transformations that are the functions where to vanish?  
Answer: No. The same way a computation is no longer a computation  
in the sense of universality when there is no universe for it.
The point is that unless it is possible for a physical system  
to implement a REA, there is no such thing as an REA.




That's the crux of the disagreement.  Bruno says 2 exists because  
it's the successor of the successor of zero.  I think it exists as  
a concept because we invented it, along with counting (c.f. The  
Origin of Reason by William S. Cooper).  But I'm willing to take  
it's existence, along with the rest of arithmetic, as an hypothesis  
just to see where it leads.




You do realize that this gives a definition of existence that  
is very different from that that almost all philosophers use. That's  
OK, Bruno is not a philosopher although he does pretend to be one  
very well. :-)


I guess it is just your dyslexia, but I have once said that despite I  
can appreciate some philosopher, I insist that it is not my job. On  
the contrary I try to illustrate that we can make reasoning and proofs  
in field usually tackled by philosophers. Many of them hate that,  
actually.


So I doubt that I have ever pretended to be a philosopher, or please  
give the quote, for it might make sense in a context where I plea for  
the coming back of theology in the science academic department.


I don't believe in philosophy, nor science, but only in scientific  
attitude, which are or should be domain independent. The max of that  
scientific attitude has existed in Occident from -500 to +500, among  
minorities of intellectual and mystics. Since about 1500 years half of  
science are allowed to be inexact which is always cool for the usual  
fear selling business and getting power.


In that sense, I disbelieve in academical philosophy (which was  
dogmatically marxist at the time I made university studies, and it has  
not really change 

Re: up to some resource bound

2012-02-16 Thread Stephen P. King

On 2/16/2012 3:06 PM, acw wrote:

On 2/16/2012 19:09, Stephen P. King wrote:

On 2/16/2012 1:16 PM, acw wrote:


The assumption in COMP is that a subst. level exists, it's the main
assumption! What does that practically mean? That you can eventually
implement the brain (or a partial version of it) in a (modified)
TM-equivalent machine (by CTT). It does not deny the quantum reality,
merely says that the brain's functionality required for consciousness
is classical (and turing-emulable). Although, I suppose some versions
including oracles should be possible, and a weakening of COMP into
simple functionalism may also be possible.


Hi ACW,

I understand the UDA, as I have read every one of Bruno's English papers
and participated in these discussions, at least. You do not need to keep
repeating the same lines. ;-)


The point is that the doctor assumption already includes the
existence of the equivalent machine and from there the argument
follows. If you think such a doctor can never exist, yet that there
still is an equivalent turing-emulable implementation that is possible
*in principle*, I just direct you at
www.paul-almond.com/ManyWorldsAssistedMindUploading.htm which merely
requires a random oracle to get you there (which is given to you if
MWI happens to be true).


Does this in principle proof include the requirements of
thermodynamics or is it a speculation based on a set of assumptions that
might just seem plausible if we ignore physics? I like the idea of a
random Oracles, but to use them is like using sequences of lottery
winnings to code words that one wants to speak. The main problem is that
one has no control at all over which numbers will pop up, so one has to
substitute a scheme to select numbers after they have rolled into the
basket.
This entire idea can be rephrased in terms of how radio signals are
embedded in noise and that a radio is a non-random Oracle.
You can buy or build various RNGs which utilize quantum effects (or 
even use freely available ones), see:

http://qrbg.irb.hr/
http://www.fourmilab.ch/hotbits/
http://qrng.physik.hu-berlin.de/
Many others exist.

If MWI is true, some of these devices will generate true random 
outputs, that is, because in a world, the state is 0 and in another is 
1, and so on for each next state. In the case of the thought 
experiment, you write a simple program that utilizes such a QRNG to 
generate a program (or a more advanced program that limits it to some 
specific types, for example a neural network map or a physics 
simulation or whatever) then run it. 


 Hi ACW,

Let us build a bit more on this thread because it is getting closer 
to the idea in my head that I have yet to find the exact words for (that 
is assuming that it can indeed be expressed in English! Some ideas 
require math...).


If MWI is true, some of these devices will generate truly random 
outputs... These kind of devices are what I was intending when I wrote 
of Markov process in a previous response to Bruno. I Also mentioned some 
stuff about Boltzmann brains. Do you recall those ideas? OK, keep that 
in mind.


In MWI, /*_all possible programs up to some resource bound you 
specified (as our hardware is resource bound) will run in some 
world_*/. That's the basic idea. If you think a digital subst. exist, 
*in principle* a sheaf of continuations will exist somewhere in some 
world after running this program. It's a rather ad-hoc and not very 
pretty solution, but if one admits a digital subst., then such an 
experiment would succeed (although the measure of such continuations 
may be low). I don't see anything contradicting thermodynamics here.


I have highlighted in bold and underlines that part of what you 
wrote that I am trying to focus attention on. It is there that the 
problem that I see in UDA is. This is the problem that Maudlin's 
argument is leading us down the wrong path. I tried to get some 
attention on this last year (?) in a discussion of Maudlin's paper, but 
my thoughts never connected. 
http://old.nabble.com/Re%3A-A-comment-on-Maudlin%27s-paper-%E2%80%9CComputation-and-Consciousness%E2%80%9D-p30789143.html








If such a substitution is not possible even in principle, then you
consider UDA's first assumption as false and thus also COMP/CTM being
false (neuroscience does suggest that it's not, but we don't know
that, and probably never will 100%, unless we're willing to someday
say yes to such a computationalist doctor and find out for 
ourselves).



All of this substitution stuff is predicated upon the possibility that
the brain can be emulated by a Universal Turing Machine. It would be
helpful if we first established that a Turing Machine is capable of what
we are assuming it do be able to do. I am pretty well convinced that it
cannot based on all that I have studied of QM and its implications. For
example, one has to consider the implications of the Kochen-Specker
http://plato.stanford.edu/entries/kochen-specker/ and Gleason

Re: up to some resource bound

2012-02-16 Thread acw

On 2/16/2012 23:08, Stephen P. King wrote:

On 2/16/2012 3:06 PM, acw wrote:

On 2/16/2012 19:09, Stephen P. King wrote:

On 2/16/2012 1:16 PM, acw wrote:


The assumption in COMP is that a subst. level exists, it's the main
assumption! What does that practically mean? That you can eventually
implement the brain (or a partial version of it) in a (modified)
TM-equivalent machine (by CTT). It does not deny the quantum reality,
merely says that the brain's functionality required for consciousness
is classical (and turing-emulable). Although, I suppose some versions
including oracles should be possible, and a weakening of COMP into
simple functionalism may also be possible.


Hi ACW,

I understand the UDA, as I have read every one of Bruno's English papers
and participated in these discussions, at least. You do not need to keep
repeating the same lines. ;-)


The point is that the doctor assumption already includes the
existence of the equivalent machine and from there the argument
follows. If you think such a doctor can never exist, yet that there
still is an equivalent turing-emulable implementation that is possible
*in principle*, I just direct you at
www.paul-almond.com/ManyWorldsAssistedMindUploading.htm which merely
requires a random oracle to get you there (which is given to you if
MWI happens to be true).


Does this in principle proof include the requirements of
thermodynamics or is it a speculation based on a set of assumptions that
might just seem plausible if we ignore physics? I like the idea of a
random Oracles, but to use them is like using sequences of lottery
winnings to code words that one wants to speak. The main problem is that
one has no control at all over which numbers will pop up, so one has to
substitute a scheme to select numbers after they have rolled into the
basket.
This entire idea can be rephrased in terms of how radio signals are
embedded in noise and that a radio is a non-random Oracle.

You can buy or build various RNGs which utilize quantum effects (or
even use freely available ones), see:
http://qrbg.irb.hr/
http://www.fourmilab.ch/hotbits/
http://qrng.physik.hu-berlin.de/
Many others exist.

If MWI is true, some of these devices will generate true random
outputs, that is, because in a world, the state is 0 and in another is
1, and so on for each next state. In the case of the thought
experiment, you write a simple program that utilizes such a QRNG to
generate a program (or a more advanced program that limits it to some
specific types, for example a neural network map or a physics
simulation or whatever) then run it.


Hi ACW,

Let us build a bit more on this thread because it is getting closer to
the idea in my head that I have yet to find the exact words for (that is
assuming that it can indeed be expressed in English! Some ideas require
math...).

If MWI is true, some of these devices will generate truly random
outputs... These kind of devices are what I was intending when I wrote
of Markov process in a previous response to Bruno. I Also mentioned some
stuff about Boltzmann brains. Do you recall those ideas? OK, keep that
in mind.


Partially, I'll have to re-read some parts of those threads in context.

In MWI, /*_all possible programs up to some resource bound you
specified (as our hardware is resource bound) will run in some
world_*/. That's the basic idea. If you think a digital subst. exist,
*in principle* a sheaf of continuations will exist somewhere in some
world after running this program. It's a rather ad-hoc and not very
pretty solution, but if one admits a digital subst., then such an
experiment would succeed (although the measure of such continuations
may be low). I don't see anything contradicting thermodynamics here.


I have highlighted in bold and underlines that part of what you wrote
that I am trying to focus attention on. It is there that the problem
that I see in UDA is. This is the problem that Maudlin's argument is
leading us down the wrong path. I tried to get some attention on this
last year (?) in a discussion of Maudlin's paper, but my thoughts never
connected.
http://old.nabble.com/Re%3A-A-comment-on-Maudlin%27s-paper-%E2%80%9CComputation-and-Consciousness%E2%80%9D-p30789143.html


I did include the resource bound because, it's a practical issue with 
our physics, but even if it is a practical issue, it's not an 
insurmountable one: efficient and less efficient hardware that would be 
capable of running a simulation of our brains is already within our 
reach ( I can elaborate on what constitute reasonable resource bounds 
and the estimated size of the information contained in our brain at a 
subst. level expected by neuroscience, but I have to go for today, so 
I'll avoid it for now, but I can elaborate on it in another day if 
necessary). This means that while such an experiment is considered as a 
thought experiment, it's physically realizable in our world, and it 
doesn't even require future sci-fi tech.


I'll re-read that thread as time 

Re: up to some resource bound

2012-02-16 Thread Stephen P. King

On 2/16/2012 7:09 PM, acw wrote:

Do you understand at all the stuff about material and idea monism that I
have mentioned previously? We are exploring the implications of a very
sophisticate form of Ideal Monism that I am very much interested in, as
it has, among other wonderful things, an unassailable proof that
material monism is WRONG. What I am trying to discuss is how this is a
good thing but the ontological theory as a whole that it is embedded in
has a problem that is being either a) misunderstood, b) ignored or both.
To be fair, I still have trouble understanding your objections to UDA 
8/MGA, and this discussion has been going on for quite some time now, 
maybe I'm just incapable of seeing the subtle distinction that you're 
trying to draw. Bruno postulates arithmetic or combinators, but if you 
want a different ontological foundation, you can formulate it and see 
how it fits within COMP (in case you assume it) and how that changes 
predictions and/or explanations. 

Hi ACW,

My objection to UDA 8/MGA is that it assumes something that is is 
deeply problematic. There is a difference between Computational 
universality, in the sense of any given recursively enumerable algorithm 
is universal if it does not depend for its functional properties on a 
particular physical implementation of it, and the ideas that Recursively 
Enumerable Algorithms (REA) have properties and run completely 
independent of the possibility of implementation in  physical hardware.


My proof is mathematical but may be very poorly explained because I 
have a very hard time translating my thoughts into words and for this I 
apologize. I am hoping that you can see past the words and grok the 
meaning.
I am identifying the invariant aspect of a REA with a fixed point 
in a manifold of transformations where the points that make up the 
manifold represent the physical systems capable of implementing the REA 
and then applying Brouwer's Fixed point theorem:

here is an example for Wiki.
In the plane http://en.wikipedia.org/wiki/Brouwer_fixed-point_theorem

   Every continuous
   http://en.wikipedia.org/wiki/Continuous_function_%28topology%29
   function /f/ from a closed http://en.wikipedia.org/wiki/Closed_set
   disk http://en.wikipedia.org/wiki/Disk_%28mathematics%29 to itself
   has at least one fixed point.

Think about this: Does the fixed point continue to exist if the 
collection of points making up that closed disc or the continuous 
transformations that are the functions where to vanish? Answer: No. The 
same way a computation is no longer a computation in the sense of 
universality when there is no universe for it.


The point is that unless it is possible for a physical system to 
implement a REA, there is no such thing as an REA. So all the talk of 
computations or whatever is taken as equivalent vanishes into 
meaninglessness when and if we jump to the conclusion that USA/MGA 
proves that the physical world is just a epiphenomenon of numbers. 
That is the problem.


Onward!

Stephen

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Re: up to some resource bound

2012-02-16 Thread meekerdb

On 2/16/2012 7:27 PM, Stephen P. King wrote:

On 2/16/2012 7:09 PM, acw wrote:

Do you understand at all the stuff about material and idea monism that I
have mentioned previously? We are exploring the implications of a very
sophisticate form of Ideal Monism that I am very much interested in, as
it has, among other wonderful things, an unassailable proof that
material monism is WRONG. What I am trying to discuss is how this is a
good thing but the ontological theory as a whole that it is embedded in
has a problem that is being either a) misunderstood, b) ignored or both.
To be fair, I still have trouble understanding your objections to UDA 8/MGA, and this 
discussion has been going on for quite some time now, maybe I'm just incapable of 
seeing the subtle distinction that you're trying to draw. Bruno postulates arithmetic 
or combinators, but if you want a different ontological foundation, you can formulate 
it and see how it fits within COMP (in case you assume it) and how that changes 
predictions and/or explanations. 

Hi ACW,

My objection to UDA 8/MGA is that it assumes something that is is deeply 
problematic. There is a difference between Computational universality, in the sense of 
any given recursively enumerable algorithm is universal if it does not depend for its 
functional properties on a particular physical implementation of it, and the ideas that 
Recursively Enumerable Algorithms (REA) have properties and run completely independent 
of the possibility of implementation in  physical hardware.


My proof is mathematical but may be very poorly explained because I have a very hard 
time translating my thoughts into words and for this I apologize. I am hoping that you 
can see past the words and grok the meaning.
I am identifying the invariant aspect of a REA with a fixed point in a manifold of 
transformations where the points that make up the manifold represent the physical 
systems capable of implementing the REA and then applying Brouwer's Fixed point theorem:



How can Brouwer's fixed point theorem be applied computers of REAs, they don't form a 
manifold.



here is an example for Wiki.
In the plane http://en.wikipedia.org/wiki/Brouwer_fixed-point_theorem

Every continuous 
http://en.wikipedia.org/wiki/Continuous_function_%28topology%29
function /f/ from a closed http://en.wikipedia.org/wiki/Closed_set disk
http://en.wikipedia.org/wiki/Disk_%28mathematics%29 to itself has at 
least one
fixed point.

Think about this: Does the fixed point continue to exist if the collection of points 
making up that closed disc or the continuous transformations that are the functions 
where to vanish? Answer: No. The same way a computation is no longer a computation in 
the sense of universality when there is no universe for it.


The point is that unless it is possible for a physical system to implement a REA, 
there is no such thing as an REA.




That's the crux of the disagreement.  Bruno says 2 exists because it's the successor of 
the successor of zero.  I think it exists as a concept because we invented it, along with 
counting (c.f. The Origin of Reason by William S. Cooper).  But I'm willing to take it's 
existence, along with the rest of arithmetic, as an hypothesis just to see where it leads.


Brent


So all the talk of computations or whatever is taken as equivalent vanishes into 
meaninglessness when and if we jump to the conclusion that USA/MGA proves that the 
physical world is just a epiphenomenon of numbers. That is the problem.


Onward!

Stephen

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Re: up to some resource bound

2012-02-16 Thread Stephen P. King

On 2/17/2012 12:00 AM, meekerdb wrote:

On 2/16/2012 7:27 PM, Stephen P. King wrote:

On 2/16/2012 7:09 PM, acw wrote:
Do you understand at all the stuff about material and idea monism 
that I

have mentioned previously? We are exploring the implications of a very
sophisticate form of Ideal Monism that I am very much interested 
in, as

it has, among other wonderful things, an unassailable proof that
material monism is WRONG. What I am trying to discuss is how this is a
good thing but the ontological theory as a whole that it is 
embedded in
has a problem that is being either a) misunderstood, b) ignored or 
both.
To be fair, I still have trouble understanding your objections to 
UDA 8/MGA, and this discussion has been going on for quite some time 
now, maybe I'm just incapable of seeing the subtle distinction that 
you're trying to draw. Bruno postulates arithmetic or combinators, 
but if you want a different ontological foundation, you can 
formulate it and see how it fits within COMP (in case you assume it) 
and how that changes predictions and/or explanations. 

Hi ACW,

My objection to UDA 8/MGA is that it assumes something that is is 
deeply problematic. There is a difference between Computational 
universality, in the sense of any given recursively enumerable 
algorithm is universal if it does not depend for its functional 
properties on a particular physical implementation of it, and the 
ideas that Recursively Enumerable Algorithms (REA) have properties 
and run completely independent of the possibility of implementation 
in  physical hardware.


My proof is mathematical but may be very poorly explained because 
I have a very hard time translating my thoughts into words and for 
this I apologize. I am hoping that you can see past the words and 
grok the meaning.
I am identifying the invariant aspect of a REA with a fixed point 
in a manifold of transformations where the points that make up the 
manifold represent the physical systems capable of implementing the 
REA and then applying Brouwer's Fixed point theorem:



How can Brouwer's fixed point theorem be applied computers of REAs, 
they don't form a manifold.


Hi Brent,

This is where my inability to express this idea in English puts me 
in a very unpleasant situation. Honestly, you might as well count as 
just wrong. I'll accept that. But I will bet that I'm right. :-) I just 
don't know how to explain my idea any better at the moment. I will 
predict one thing, there will be a paper published within the year that 
will cover this idea by someone with the right skills. I will just be 
happy to have come to understand it on my own.



here is an example for Wiki.
In the plane http://en.wikipedia.org/wiki/Brouwer_fixed-point_theorem

Every continuous
http://en.wikipedia.org/wiki/Continuous_function_%28topology%29
function /f/ from a closed
http://en.wikipedia.org/wiki/Closed_set disk
http://en.wikipedia.org/wiki/Disk_%28mathematics%29 to itself
has at least one fixed point.

Think about this: Does the fixed point continue to exist if the 
collection of points making up that closed disc or the continuous 
transformations that are the functions where to vanish? Answer: No. 
The same way a computation is no longer a computation in the sense of 
universality when there is no universe for it.


The point is that unless it is possible for a physical system to 
implement a REA, there is no such thing as an REA.




That's the crux of the disagreement.  Bruno says 2 exists because it's 
the successor of the successor of zero.  I think it exists as a 
concept because we invented it, along with counting (c.f. The Origin 
of Reason by William S. Cooper).  But I'm willing to take it's 
existence, along with the rest of arithmetic, as an hypothesis just to 
see where it leads.




You do realize that this gives a definition of existence that is 
very different from that that almost all philosophers use. That's OK, 
Bruno is not a philosopher although he does pretend to be one very well. :-)



Onward!

Stephen





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Re: up to some resource bound

2012-02-16 Thread meekerdb

On 2/16/2012 9:53 PM, Stephen P. King wrote:
You do realize that this gives a definition of existence that is very different 
from that that almost all philosophers use. That's OK, Bruno is not a philosopher 
although he does pretend to be one very well. :-)


I don't think it's different.  Bruno has remarked that existence is relative to a theory.  
This is the view of Quine who said that a think exists if it is an essential element of 
your theory.


Brent




Onward!

Stephen


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Re: up to some resource bound

2012-02-16 Thread Stephen P. King

On 2/17/2012 1:59 AM, meekerdb wrote:

On 2/16/2012 9:53 PM, Stephen P. King wrote:
You do realize that this gives a definition of existence that 
is very different from that that almost all philosophers use. That's 
OK, Bruno is not a philosopher although he does pretend to be one 
very well. :-)


I don't think it's different.  Bruno has remarked that existence is 
relative to a theory.  This is the view of Quine who said that a think 
exists if it is an essential element of your theory.

Hi Brent,

This idea is philosophically distasteful for it implies that 
existence supervenes on our consciousness or, more weakly, on our 
theory-craft. I think that it is exactly backwards. Consciousness 
supervenes on existence. Am I using the word supervene correctly here?


Onward!

Stephen

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