Victor Korotkikh

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Victor Korotkikh

by russell standish-2 :: Rate this Message:

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Hi Bruno,

Have you come across Victor Korotkikh's stuff? He's got a recent
article out in Complexity:

http://www3.interscience.wiley.com/journal/121426751/abstract?CRETRY=1&SRETRY=0

(Complexity, 14, 40-46)

It basically explores the organisational properties of the integers,
prime numbers etc. Which is kind of interesting in a pure mathematical
way, but he then uses this to model real complex systems, emergent
properties and so on. If you can't get the above paper, here is a much
earlier one that is not behind a paywall:
http://www.complexity.org.au/ci/vol03/victor2/


I've met him a few times over the years - he's based in Townsville,
about 2000km north of here. He's an intense Russian who's presentation
is almost impenetrable - but there are people I respect who consider
him a genius.

It struck me this morning how similar in many ways his programme is to
yours. I suppose you both share a strong neo-platonic viewpoint for
starters.

Cheers

--

----------------------------------------------------------------------------
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Mathematics                        
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----------------------------------------------------------------------------

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Re: Victor Korotkikh

by Bruno Marchal :: Rate this Message:

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Thanks Russell, I will take a look. At first sight he makes the same  
"error" with numbers that Wolfram makes with cellular automata. Those  
are still mathematical form of physicalism, incompatible with the  
mechanist thesis in the cognitive science. Of course we converge  
toward rather similar (recursively isomorphic or weakened) ontologies.  
But they seems to believe they can recover some physics from that,  
where, saying "yes" to the surgeon requires to abandon that very idea.  
Physics, like in Plato and Plotinus, is not a mathematical structure  
among others, it is a mathematical structure which relate all  
mathematical structures in a precise way. Physics is somehow much more  
fundamental than being a thing completely describable by a set of  
mechanical laws.
Pu in another way, such theories are unaware of the mind-body problem  
and still use an identity relation between a mind and a implementation  
of a program which UDA forces to abandon, to be frank.
This does not mean those works are uninteresting of course, and they  
may play some role in the unravelling of the Minds and Bodies  
problems. Sure.

Bruno


On 13 May 2009, at 01:15, russell standish wrote:

>
> Hi Bruno,
>
> Have you come across Victor Korotkikh's stuff? He's got a recent
> article out in Complexity:
>
> http://www3.interscience.wiley.com/journal/121426751/abstract?CRETRY=1&SRETRY=0
>
> (Complexity, 14, 40-46)
>
> It basically explores the organisational properties of the integers,
> prime numbers etc. Which is kind of interesting in a pure mathematical
> way, but he then uses this to model real complex systems, emergent
> properties and so on. If you can't get the above paper, here is a much
> earlier one that is not behind a paywall:
> http://www.complexity.org.au/ci/vol03/victor2/
>
>
> I've met him a few times over the years - he's based in Townsville,
> about 2000km north of here. He's an intense Russian who's presentation
> is almost impenetrable - but there are people I respect who consider
> him a genius.
>
> It struck me this morning how similar in many ways his programme is to
> yours. I suppose you both share a strong neo-platonic viewpoint for
> starters.
>
> Cheers
>
> --
>
> ----------------------------------------------------------------------------
> Prof Russell Standish                  Phone 0425 253119 (mobile)
> Mathematics                        
> UNSW SYDNEY 2052                 hpcoder@...
> Australia                                http://www.hpcoders.com.au
> ----------------------------------------------------------------------------
>
> >

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




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Re: Victor Korotkikh

by ronaldheld :: Rate this Message:

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Bruno:
 Can you explain your Physics statement in more detail, which I can
understand?
                                        Ronald

On May 13, 11:30 am, Bruno Marchal <marc...@...> wrote:

> Thanks Russell, I will take a look. At first sight he makes the same  
> "error" with numbers that Wolfram makes with cellular automata. Those  
> are still mathematical form of physicalism, incompatible with the  
> mechanist thesis in the cognitive science. Of course we converge  
> toward rather similar (recursively isomorphic or weakened) ontologies.  
> But they seems to believe they can recover some physics from that,  
> where, saying "yes" to the surgeon requires to abandon that very idea.  
> Physics, like in Plato and Plotinus, is not a mathematical structure  
> among others, it is a mathematical structure which relate all  
> mathematical structures in a precise way. Physics is somehow much more  
> fundamental than being a thing completely describable by a set of  
> mechanical laws.
> Pu in another way, such theories are unaware of the mind-body problem  
> and still use an identity relation between a mind and a implementation  
> of a program which UDA forces to abandon, to be frank.
> This does not mean those works are uninteresting of course, and they  
> may play some role in the unravelling of the Minds and Bodies  
> problems. Sure.
>
> Bruno
>
> On 13 May 2009, at 01:15, russell standish wrote:
>
>
>
>
>
>
>
> > Hi Bruno,
>
> > Have you come across Victor Korotkikh's stuff? He's got a recent
> > article out in Complexity:
>
> >http://www3.interscience.wiley.com/journal/121426751/abstract?CRETRY=...
>
> > (Complexity, 14, 40-46)
>
> > It basically explores the organisational properties of the integers,
> > prime numbers etc. Which is kind of interesting in a pure mathematical
> > way, but he then uses this to model real complex systems, emergent
> > properties and so on. If you can't get the above paper, here is a much
> > earlier one that is not behind a paywall:
> >http://www.complexity.org.au/ci/vol03/victor2/
>
> > I've met him a few times over the years - he's based in Townsville,
> > about 2000km north of here. He's an intense Russian who's presentation
> > is almost impenetrable - but there are people I respect who consider
> > him a genius.
>
> > It struck me this morning how similar in many ways his programme is to
> > yours. I suppose you both share a strong neo-platonic viewpoint for
> > starters.
>
> > Cheers
>
> > --
>
> > ---------------------------------------------------------------------------­-
> > Prof Russell Standish                  Phone 0425 253119 (mobile)
> > Mathematics                                
> > UNSW SYDNEY 2052                    hpco...@...
> > Australia                                http://www.hpcoders.com.au
> > ---------------------------------------------------------------------------­-
>
> http://iridia.ulb.ac.be/~marchal/- Hide quoted text -
>
> - Show quoted text -
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Re: Victor Korotkikh

by Bruno Marchal :: Rate this Message:

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Ronald,

On 14 May 2009, at 13:19, Ronald (ronaldheld) wrote:

> Can you explain your Physics statement in more detail, which I can
> understand?
>

UDA *is* the detailed explanation of that "physics statement". So it  
would be simpler if you could tell me at which step you have a problem  
of understanding, or an objection, or something. You can search UDA in  
the archives for older or more recent versions,  or read my SANE2004  
paper:

http://iridia.ulb.ac.be/~marchal/publications/SANE2004MARCHALAbstract.html

In a nutshell, the idea is the following. If we are machine we are  
duplicable. If we distinguish the first person by their personal  
memories, sufficiently introspective machine can deduce that they  
cannot predict with certainty they personal future in either self-
duplicating experience, or in "many-identical-states preparation" like  
a concrete universal dovetailer would do "all the time".
So, if you are concretely in front of a concrete universal dovetailer,  
with the guaranty it will never stop (in some steady universe à-la  
Hoyle for example), you are in a high state of first person  
indeterminacy, given that the universal dovetailer will execute all  
the computations going through your actual state. Sometimes I have to  
remind the step 5 for helping the understanding here. In that state,  
from a first person perspective you don't know in which computational  
history you belong, but you can believe (as far as you are willing to  
believe in comp) that there are infinitely many of them. If you agree  
to identify an history by its infinite steps, or if you accept the Y =  
II principle (that if a story bifurcate," Y ", you multiply their  
similar comp-past, so Y gives  II), then you can understand that the  
cardinal (number) of your histories going through you actual state is  
2^aleph_zero. It is a continuum. Of course you can first person  
distinguish only a enumerable quotient of it, and even just a finite  
part of that enumeration.  "Stable consciousness" need deep stories  
(very long yet redundant stories, it is deep in Bennett sense) and a  
notion of linear multiplication of independent stories.
Now the laws of arithmetic provides exactly this, and so you can, with  
OCCAM just jump to AUDA, but you have to study one or two book of  
mathematical logic and computer science before. (the best are Epstein  
& Carnielli, or Boolos, Burgess and Jeffrey).
Or, much easier, but not so easy, meditate on the eighth step of UDA,  
which shows that form their first point of view universal machine  
cannot distinguish "real" from "virtual", but they cannot distinguish  
"real" from "arithmetical" either, so that the arithmetical realm  
defines the intrinsic first person indeterminacy of any universal  
machine. Actually the eighth step shows that comp falsifies the usual  
mind/physical-machine identity thesis, but it does not falsify a  
weaker mind/many-mathematical machines thesis.

If interested I suggest you study UDA in Sane2004, and ask any  
questions, or find a flaw  etc.
(or wait for a more recent version I have yet to put on my page)

Thanks for the reference to Kent's paper (it illustrates very well the  
knotty problems you get into when you keep Everett, materialism and  
the identity thesis, but I have read it only diagonally just now).

Hope this helped a bit.

Bruno












>
>
> On May 13, 11:30 am, Bruno Marchal <marc...@...> wrote:
>> Thanks Russell, I will take a look. At first sight he makes the same
>> "error" with numbers that Wolfram makes with cellular automata. Those
>> are still mathematical form of physicalism, incompatible with the
>> mechanist thesis in the cognitive science. Of course we converge
>> toward rather similar (recursively isomorphic or weakened)  
>> ontologies.
>> But they seems to believe they can recover some physics from that,
>> where, saying "yes" to the surgeon requires to abandon that very  
>> idea.
>> Physics, like in Plato and Plotinus, is not a mathematical structure
>> among others, it is a mathematical structure which relate all
>> mathematical structures in a precise way. Physics is somehow much  
>> more
>> fundamental than being a thing completely describable by a set of
>> mechanical laws.
>> Pu in another way, such theories are unaware of the mind-body problem
>> and still use an identity relation between a mind and a  
>> implementation
>> of a program which UDA forces to abandon, to be frank.
>> This does not mean those works are uninteresting of course, and they
>> may play some role in the unravelling of the Minds and Bodies
>> problems. Sure.
>>
>> Bruno
>>
>> On 13 May 2009, at 01:15, russell standish wrote:
>>
>>
>>
>>
>>
>>
>>
>>> Hi Bruno,
>>
>>> Have you come across Victor Korotkikh's stuff? He's got a recent
>>> article out in Complexity:
>>
>>> http://www3.interscience.wiley.com/journal/121426751/abstract?CRETRY= 
>>> ...
>>
>>> (Complexity, 14, 40-46)
>>
>>> It basically explores the organisational properties of the integers,
>>> prime numbers etc. Which is kind of interesting in a pure  
>>> mathematical
>>> way, but he then uses this to model real complex systems, emergent
>>> properties and so on. If you can't get the above paper, here is a  
>>> much
>>> earlier one that is not behind a paywall:
>>> http://www.complexity.org.au/ci/vol03/victor2/
>>
>>> I've met him a few times over the years - he's based in Townsville,
>>> about 2000km north of here. He's an intense Russian who's  
>>> presentation
>>> is almost impenetrable - but there are people I respect who consider
>>> him a genius.
>>
>>> It struck me this morning how similar in many ways his programme  
>>> is to
>>> yours. I suppose you both share a strong neo-platonic viewpoint for
>>> starters.
>>
>>> Cheers
>>
>>> --
>>
>>> --------------------------------------------------------------------------- -
>>> Prof Russell Standish                  Phone 0425 253119 (mobile)
>>> Mathematics
>>> UNSW SYDNEY 2052                    hpco...@...
>>> Australia                                http://www.hpcoders.com.au
>>> --------------------------------------------------------------------------- -
>>
>> http://iridia.ulb.ac.be/~marchal/- Hide quoted text -
>>
>> - Show quoted text -
> >

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




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Re: Victor Korotkikh

by Brent Meeker-2 :: Rate this Message:

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Bruno Marchal wrote:

> Ronald,
>
> On 14 May 2009, at 13:19, Ronald (ronaldheld) wrote:
>
>> Can you explain your Physics statement in more detail, which I can
>> understand?
>>
>
> UDA *is* the detailed explanation of that "physics statement". So it  
> would be simpler if you could tell me at which step you have a problem  
> of understanding, or an objection, or something. You can search UDA in  
> the archives for older or more recent versions,  or read my SANE2004  
> paper:
>
> http://iridia.ulb.ac.be/~marchal/publications/SANE2004MARCHALAbstract.html
>
> In a nutshell, the idea is the following. If we are machine we are  
> duplicable. If we distinguish the first person by their personal  
> memories, sufficiently introspective machine can deduce that they  
> cannot predict with certainty they personal future in either self-
> duplicating experience, or in "many-identical-states preparation" like  
> a concrete universal dovetailer would do "all the time".
> So, if you are concretely in front of a concrete universal dovetailer,  
> with the guaranty it will never stop (in some steady universe à-la  
> Hoyle for example), you are in a high state of first person  
> indeterminacy, given that the universal dovetailer will execute all  
> the computations going through your actual state.

I'm not sure how to understand "your state".  Is it a finite piece of the state
of computation?  In that case it seems it would be revisited arbitrarily many
times and in different orders relative to other states.

>Sometimes I have to  
> remind the step 5 for helping the understanding here. In that state,  
> from a first person perspective you don't know in which computational  
> history you belong,

Is "history" meant in the sense of a thread in the completed infinite
computation, or does it mean just the "past" part of the thread going back to
the beginning of the UD?

Brent

>but you can believe (as far as you are willing to  
> believe in comp) that there are infinitely many of them. If you agree  
> to identify an history by its infinite steps, or if you accept the Y =  
> II principle (that if a story bifurcate," Y ", you multiply their  
> similar comp-past, so Y gives  II), then you can understand that the  
> cardinal (number) of your histories going through you actual state is  
> 2^aleph_zero. It is a continuum. Of course you can first person  
> distinguish only a enumerable quotient of it, and even just a finite  
> part of that enumeration.  "Stable consciousness" need deep stories  
> (very long yet redundant stories, it is deep in Bennett sense) and a  
> notion of linear multiplication of independent stories.
> Now the laws of arithmetic provides exactly this, and so you can, with  
> OCCAM just jump to AUDA, but you have to study one or two book of  
> mathematical logic and computer science before. (the best are Epstein  
> & Carnielli, or Boolos, Burgess and Jeffrey).
> Or, much easier, but not so easy, meditate on the eighth step of UDA,  
> which shows that form their first point of view universal machine  
> cannot distinguish "real" from "virtual", but they cannot distinguish  
> "real" from "arithmetical" either, so that the arithmetical realm  
> defines the intrinsic first person indeterminacy of any universal  
> machine. Actually the eighth step shows that comp falsifies the usual  
> mind/physical-machine identity thesis, but it does not falsify a  
> weaker mind/many-mathematical machines thesis.
>
> If interested I suggest you study UDA in Sane2004, and ask any  
> questions, or find a flaw  etc.
> (or wait for a more recent version I have yet to put on my page)
>
> Thanks for the reference to Kent's paper (it illustrates very well the  
> knotty problems you get into when you keep Everett, materialism and  
> the identity thesis, but I have read it only diagonally just now).
>
> Hope this helped a bit.
>
> Bruno

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Re: Victor Korotkikh

by russell standish-2 :: Rate this Message:

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On Wed, May 13, 2009 at 05:30:57PM +0200, Bruno Marchal wrote:
>
>
> Thanks Russell, I will take a look. At first sight he makes the same  
> "error" with numbers that Wolfram makes with cellular automata.

I think this sums up my feeling too. Although, I'm not sure we're
talking about the same "error" :)

I guess my interest in pointing it out to you was whether some
interesting structure could be extracted from it when put into the
framework of the AUDA. Since you point out that Robinson arithmetic is
universal, might not Korotkikh's integer relationships also be a
reflection of the same universality.

I kind of dismissed this stuff as a curiosity when I first heard about
it 13 years ago, but I've grown intellectually since then (having
being exposed to your ideas amongst others :).

BTW - I'm still enjoying Secret of the Amoeba, which I haven't
finished yet. Its a shame it wasn't published - its some of your best stuff!

Cheers
--

----------------------------------------------------------------------------
Prof Russell Standish                  Phone 0425 253119 (mobile)
Mathematics                        
UNSW SYDNEY 2052                 hpcoder@...
Australia                                http://www.hpcoders.com.au
----------------------------------------------------------------------------

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Re: Victor Korotkikh

by ronaldheld :: Rate this Message:

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Bruno:
  I will wait for your most recent UDA to be posted here.
  I have problems with infinite time and resources for your
computations, if done in this physical Universe.
                                                             Ronald

On May 14, 12:22 pm, Bruno Marchal <marc...@...> wrote:

> Ronald,
>
> On 14 May 2009, at 13:19, Ronald (ronaldheld) wrote:
>
> > Can you explain your Physics statement in more detail, which I can
> > understand?
>
> UDA *is* the detailed explanation of that "physics statement". So it  
> would be simpler if you could tell me at which step you have a problem  
> of understanding, or an objection, or something. You can search UDA in  
> the archives for older or more recent versions,  or read my SANE2004  
> paper:
>
> http://iridia.ulb.ac.be/~marchal/publications/SANE2004MARCHALAbstract...
>
> In a nutshell, the idea is the following. If we are machine we are  
> duplicable. If we distinguish the first person by their personal  
> memories, sufficiently introspective machine can deduce that they  
> cannot predict with certainty they personal future in either self-
> duplicating experience, or in "many-identical-states preparation" like  
> a concrete universal dovetailer would do "all the time".
> So, if you are concretely in front of a concrete universal dovetailer,  
> with the guaranty it will never stop (in some steady universe à-la  
> Hoyle for example), you are in a high state of first person  
> indeterminacy, given that the universal dovetailer will execute all  
> the computations going through your actual state. Sometimes I have to  
> remind the step 5 for helping the understanding here. In that state,  
> from a first person perspective you don't know in which computational  
> history you belong, but you can believe (as far as you are willing to  
> believe in comp) that there are infinitely many of them. If you agree  
> to identify an history by its infinite steps, or if you accept the Y =  
> II principle (that if a story bifurcate," Y ", you multiply their  
> similar comp-past, so Y gives  II), then you can understand that the  
> cardinal (number) of your histories going through you actual state is  
> 2^aleph_zero. It is a continuum. Of course you can first person  
> distinguish only a enumerable quotient of it, and even just a finite  
> part of that enumeration.  "Stable consciousness" need deep stories  
> (very long yet redundant stories, it is deep in Bennett sense) and a  
> notion of linear multiplication of independent stories.
> Now the laws of arithmetic provides exactly this, and so you can, with  
> OCCAM just jump to AUDA, but you have to study one or two book of  
> mathematical logic and computer science before. (the best are Epstein  
> & Carnielli, or Boolos, Burgess and Jeffrey).
> Or, much easier, but not so easy, meditate on the eighth step of UDA,  
> which shows that form their first point of view universal machine  
> cannot distinguish "real" from "virtual", but they cannot distinguish  
> "real" from "arithmetical" either, so that the arithmetical realm  
> defines the intrinsic first person indeterminacy of any universal  
> machine. Actually the eighth step shows that comp falsifies the usual  
> mind/physical-machine identity thesis, but it does not falsify a  
> weaker mind/many-mathematical machines thesis.
>
> If interested I suggest you study UDA in Sane2004, and ask any  
> questions, or find a flaw  etc.
> (or wait for a more recent version I have yet to put on my page)
>
> Thanks for the reference to Kent's paper (it illustrates very well the  
> knotty problems you get into when you keep Everett, materialism and  
> the identity thesis, but I have read it only diagonally just now).
>
> Hope this helped a bit.
>
> Bruno
>
>
>
>
>
>
>
> > On May 13, 11:30 am, Bruno Marchal <marc...@...> wrote:
> >> Thanks Russell, I will take a look. At first sight he makes the same
> >> "error" with numbers that Wolfram makes with cellular automata. Those
> >> are still mathematical form of physicalism, incompatible with the
> >> mechanist thesis in the cognitive science. Of course we converge
> >> toward rather similar (recursively isomorphic or weakened)  
> >> ontologies.
> >> But they seems to believe they can recover some physics from that,
> >> where, saying "yes" to the surgeon requires to abandon that very  
> >> idea.
> >> Physics, like in Plato and Plotinus, is not a mathematical structure
> >> among others, it is a mathematical structure which relate all
> >> mathematical structures in a precise way. Physics is somehow much  
> >> more
> >> fundamental than being a thing completely describable by a set of
> >> mechanical laws.
> >> Pu in another way, such theories are unaware of the mind-body problem
> >> and still use an identity relation between a mind and a  
> >> implementation
> >> of a program which UDA forces to abandon, to be frank.
> >> This does not mean those works are uninteresting of course, and they
> >> may play some role in the unravelling of the Minds and Bodies
> >> problems. Sure.
>
> >> Bruno
>
> >> On 13 May 2009, at 01:15, russell standish wrote:
>
> >>> Hi Bruno,
>
> >>> Have you come across Victor Korotkikh's stuff? He's got a recent
> >>> article out in Complexity:
>
> >>>http://www3.interscience.wiley.com/journal/121426751/abstract?CRETRY=
> >>> ...
>
> >>> (Complexity, 14, 40-46)
>
> >>> It basically explores the organisational properties of the integers,
> >>> prime numbers etc. Which is kind of interesting in a pure  
> >>> mathematical
> >>> way, but he then uses this to model real complex systems, emergent
> >>> properties and so on. If you can't get the above paper, here is a  
> >>> much
> >>> earlier one that is not behind a paywall:
> >>>http://www.complexity.org.au/ci/vol03/victor2/
>
> >>> I've met him a few times over the years - he's based in Townsville,
> >>> about 2000km north of here. He's an intense Russian who's  
> >>> presentation
> >>> is almost impenetrable - but there are people I respect who consider
> >>> him a genius.
>
> >>> It struck me this morning how similar in many ways his programme  
> >>> is to
> >>> yours. I suppose you both share a strong neo-platonic viewpoint for
> >>> starters.
>
> >>> Cheers
>
> >>> --
>
> >>> --------------------------------------------------------------------------- -
> >>> Prof Russell Standish                  Phone 0425 253119 (mobile)
> >>> Mathematics
> >>> UNSW SYDNEY 2052                    hpco...@...
> >>> Australia                                http://www.hpcoders.com.au
> >>> --------------------------------------------------------------------------- -
>
> >>http://iridia.ulb.ac.be/~marchal/-Hide quoted text -
>
> >> - Show quoted text -
>
> http://iridia.ulb.ac.be/~marchal/- Hide quoted text -
>
> - Show quoted text -
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Re: Victor Korotkikh

by Bruno Marchal :: Rate this Message:

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On 15 May 2009, at 01:06, russell standish wrote:

>
> On Wed, May 13, 2009 at 05:30:57PM +0200, Bruno Marchal wrote:
>>
>>
>> Thanks Russell, I will take a look. At first sight he makes the same
>> "error" with numbers that Wolfram makes with cellular automata.
>
> I think this sums up my feeling too. Although, I'm not sure we're
> talking about the same "error" :)
>
> I guess my interest in pointing it out to you was whether some
> interesting structure could be extracted from it when put into the
> framework of the AUDA. Since you point out that Robinson arithmetic is
> universal, might not Korotkikh's integer relationships also be a
> reflection of the same universality.

As far as I understand it looks interesting indeed. I will have to dig  
deeper.


>
>
> I kind of dismissed this stuff as a curiosity when I first heard about
> it 13 years ago, but I've grown intellectually since then (having
> being exposed to your ideas amongst others :).
>
> BTW - I'm still enjoying Secret of the Amoeba, which I haven't
> finished yet. Its a shame it wasn't published - its some of your  
> best stuff!

Thanks Russell,

Have a good day,

Bruno


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




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Re: Victor Korotkikh

by Bruno Marchal :: Rate this Message:

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Hi Ronald,


On 15 May 2009, at 14:25, ronaldheld wrote:

>
> Bruno:
>  I will wait for your most recent UDA to be posted here.

All right.



>
>  I have problems with infinite time and resources for your
> computations, if done in this physical Universe.

Sure. Note that I use unbounded physical resources only in the step  
seven, to make the argument smoother, but the step 8 eliminates the  
need of that assumption. All you have to believe in is that a  
mathematical Turing machine either stop or not stop.


Best,

Bruno



>
>
>
> On May 14, 12:22 pm, Bruno Marchal <marc...@...> wrote:
>> Ronald,
>>
>> On 14 May 2009, at 13:19, Ronald (ronaldheld) wrote:
>>
>>> Can you explain your Physics statement in more detail, which I can
>>> understand?
>>
>> UDA *is* the detailed explanation of that "physics statement". So it
>> would be simpler if you could tell me at which step you have a  
>> problem
>> of understanding, or an objection, or something. You can search UDA  
>> in
>> the archives for older or more recent versions,  or read my SANE2004
>> paper:
>>
>> http://iridia.ulb.ac.be/~marchal/publications/ 
>> SANE2004MARCHALAbstract...
>>
>> In a nutshell, the idea is the following. If we are machine we are
>> duplicable. If we distinguish the first person by their personal
>> memories, sufficiently introspective machine can deduce that they
>> cannot predict with certainty they personal future in either self-
>> duplicating experience, or in "many-identical-states preparation"  
>> like
>> a concrete universal dovetailer would do "all the time".
>> So, if you are concretely in front of a concrete universal  
>> dovetailer,
>> with the guaranty it will never stop (in some steady universe à-la
>> Hoyle for example), you are in a high state of first person
>> indeterminacy, given that the universal dovetailer will execute all
>> the computations going through your actual state. Sometimes I have to
>> remind the step 5 for helping the understanding here. In that state,
>> from a first person perspective you don't know in which computational
>> history you belong, but you can believe (as far as you are willing to
>> believe in comp) that there are infinitely many of them. If you agree
>> to identify an history by its infinite steps, or if you accept the  
>> Y =
>> II principle (that if a story bifurcate," Y ", you multiply their
>> similar comp-past, so Y gives  II), then you can understand that the
>> cardinal (number) of your histories going through you actual state is
>> 2^aleph_zero. It is a continuum. Of course you can first person
>> distinguish only a enumerable quotient of it, and even just a finite
>> part of that enumeration.  "Stable consciousness" need deep stories
>> (very long yet redundant stories, it is deep in Bennett sense) and a
>> notion of linear multiplication of independent stories.
>> Now the laws of arithmetic provides exactly this, and so you can,  
>> with
>> OCCAM just jump to AUDA, but you have to study one or two book of
>> mathematical logic and computer science before. (the best are Epstein
>> & Carnielli, or Boolos, Burgess and Jeffrey).
>> Or, much easier, but not so easy, meditate on the eighth step of UDA,
>> which shows that form their first point of view universal machine
>> cannot distinguish "real" from "virtual", but they cannot distinguish
>> "real" from "arithmetical" either, so that the arithmetical realm
>> defines the intrinsic first person indeterminacy of any universal
>> machine. Actually the eighth step shows that comp falsifies the usual
>> mind/physical-machine identity thesis, but it does not falsify a
>> weaker mind/many-mathematical machines thesis.
>>
>> If interested I suggest you study UDA in Sane2004, and ask any
>> questions, or find a flaw  etc.
>> (or wait for a more recent version I have yet to put on my page)
>>
>> Thanks for the reference to Kent's paper (it illustrates very well  
>> the
>> knotty problems you get into when you keep Everett, materialism and
>> the identity thesis, but I have read it only diagonally just now).
>>
>> Hope this helped a bit.
>>
>> Bruno
>>
>>
>>
>>
>>
>>
>>
>>> On May 13, 11:30 am, Bruno Marchal <marc...@...> wrote:
>>>> Thanks Russell, I will take a look. At first sight he makes the  
>>>> same
>>>> "error" with numbers that Wolfram makes with cellular automata.  
>>>> Those
>>>> are still mathematical form of physicalism, incompatible with the
>>>> mechanist thesis in the cognitive science. Of course we converge
>>>> toward rather similar (recursively isomorphic or weakened)
>>>> ontologies.
>>>> But they seems to believe they can recover some physics from that,
>>>> where, saying "yes" to the surgeon requires to abandon that very
>>>> idea.
>>>> Physics, like in Plato and Plotinus, is not a mathematical  
>>>> structure
>>>> among others, it is a mathematical structure which relate all
>>>> mathematical structures in a precise way. Physics is somehow much
>>>> more
>>>> fundamental than being a thing completely describable by a set of
>>>> mechanical laws.
>>>> Pu in another way, such theories are unaware of the mind-body  
>>>> problem
>>>> and still use an identity relation between a mind and a
>>>> implementation
>>>> of a program which UDA forces to abandon, to be frank.
>>>> This does not mean those works are uninteresting of course, and  
>>>> they
>>>> may play some role in the unravelling of the Minds and Bodies
>>>> problems. Sure.
>>
>>>> Bruno
>>
>>>> On 13 May 2009, at 01:15, russell standish wrote:
>>
>>>>> Hi Bruno,
>>
>>>>> Have you come across Victor Korotkikh's stuff? He's got a recent
>>>>> article out in Complexity:
>>
>>>>> http://www3.interscience.wiley.com/journal/121426751/abstract?CRETRY=
>>>>> ...
>>
>>>>> (Complexity, 14, 40-46)
>>
>>>>> It basically explores the organisational properties of the  
>>>>> integers,
>>>>> prime numbers etc. Which is kind of interesting in a pure
>>>>> mathematical
>>>>> way, but he then uses this to model real complex systems, emergent
>>>>> properties and so on. If you can't get the above paper, here is a
>>>>> much
>>>>> earlier one that is not behind a paywall:
>>>>> http://www.complexity.org.au/ci/vol03/victor2/
>>
>>>>> I've met him a few times over the years - he's based in  
>>>>> Townsville,
>>>>> about 2000km north of here. He's an intense Russian who's
>>>>> presentation
>>>>> is almost impenetrable - but there are people I respect who  
>>>>> consider
>>>>> him a genius.
>>
>>>>> It struck me this morning how similar in many ways his programme
>>>>> is to
>>>>> yours. I suppose you both share a strong neo-platonic viewpoint  
>>>>> for
>>>>> starters.
>>
>>>>> Cheers
>>
>>>>> --
>>
>>>>> --------------------------------------------------------------------------- -
>>>>> Prof Russell Standish                  Phone 0425 253119 (mobile)
>>>>> Mathematics
>>>>> UNSW SYDNEY 2052                    hpco...@...
>>>>> Australia                                http://
>>>>> www.hpcoders.com.au
>>>>> --------------------------------------------------------------------------- -
>>
>>>> http://iridia.ulb.ac.be/~marchal/-Hide quoted text -
>>
>>>> - Show quoted text -
>>
>> http://iridia.ulb.ac.be/~marchal/- Hide quoted text -
>>
>> - Show quoted text -
> >

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




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Re: Victor Korotkikh

by John Mikes :: Rate this Message:

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I read in this exchange:
"I have a problem with infinite time" (or something of such meaning).
 
Since IMO time is an auxiliary coordinate to 'order the view from the inside of this (our) universe and in view of  the partial knowledge we so far obtained about it, it is (our?) choice HOW we construct our concept of that 'time'.  
<<Reminds me of my son, who - at 5 - did not dare to fall asleep because of 'sorcerers'  he learned about in the Kindergarten and was afraid that in "dreamland" they come up. So I said: "you little stupid kid, why don't you choose a dreamland in which there are NO sorcerers?" He looked at me "OK" and sweetly went to sleep. >>
 
We can change our ID of time into a format in which there is no problem with its infinity. (Maybe not so easy, but who said 'everything' is easy?) In my 'narrative' about the world I have problems how to handle the timeless (a-temporal) world and its concepts. I cannot 'change' the "no-time" into another one.
<G>
 
John M
 
(PS: also waiting for a 'readable' new version of UDA).  JM


 
On Sat, May 16, 2009 at 7:44 AM, Bruno Marchal <marchal@...> wrote:

Hi Ronald,


On 15 May 2009, at 14:25, ronaldheld wrote:

>
> Bruno:
>  I will wait for your most recent UDA to be posted here.

All right.



>
>  I have problems with infinite time and resources for your
> computations, if done in this physical Universe.

Sure. Note that I use unbounded physical resources only in the step
seven, to make the argument smoother, but the step 8 eliminates the
need of that assumption. All you have to believe in is that a
mathematical Turing machine either stop or not stop.


Best,

Bruno



>
>
>
> On May 14, 12:22 pm, Bruno Marchal <marc...@...> wrote:
>> Ronald,
>>
>> On 14 May 2009, at 13:19, Ronald (ronaldheld) wrote:
>>
>>> Can you explain your Physics statement in more detail, which I can
>>> understand?
>>
>> UDA *is* the detailed explanation of that "physics statement". So it
>> would be simpler if you could tell me at which step you have a
>> problem
>> of understanding, or an objection, or something. You can search UDA
>> in
>> the archives for older or more recent versions,  or read my SANE2004
>> paper:
>>
>> http://iridia.ulb.ac.be/~marchal/publications/
>> SANE2004MARCHALAbstract...
>>
>> In a nutshell, the idea is the following. If we are machine we are
>> duplicable. If we distinguish the first person by their personal
>> memories, sufficiently introspective machine can deduce that they
>> cannot predict with certainty they personal future in either self-
>> duplicating experience, or in "many-identical-states preparation"
>> like
>> a concrete universal dovetailer would do "all the time".
>> So, if you are concretely in front of a concrete universal
>> dovetailer,
>> with the guaranty it will never stop (in some steady universe à-la
>> Hoyle for example), you are in a high state of first person
>> indeterminacy, given that the universal dovetailer will execute all
>> the computations going through your actual state. Sometimes I have to
>> remind the step 5 for helping the understanding here. In that state,
>> from a first person perspective you don't know in which computational
>> history you belong, but you can believe (as far as you are willing to
>> believe in comp) that there are infinitely many of them. If you agree
>> to identify an history by its infinite steps, or if you accept the
>> Y =
>> II principle (that if a story bifurcate," Y ", you multiply their
>> similar comp-past, so Y gives  II), then you can understand that the
>> cardinal (number) of your histories going through you actual state is
>> 2^aleph_zero. It is a continuum. Of course you can first person
>> distinguish only a enumerable quotient of it, and even just a finite
>> part of that enumeration.  "Stable consciousness" need deep stories
>> (very long yet redundant stories, it is deep in Bennett sense) and a
>> notion of linear multiplication of independent stories.
>> Now the laws of arithmetic provides exactly this, and so you can,
>> with
>> OCCAM just jump to AUDA, but you have to study one or two book of
>> mathematical logic and computer science before. (the best are Epstein
>> & Carnielli, or Boolos, Burgess and Jeffrey).
>> Or, much easier, but not so easy, meditate on the eighth step of UDA,
>> which shows that form their first point of view universal machine
>> cannot distinguish "real" from "virtual", but they cannot distinguish
>> "real" from "arithmetical" either, so that the arithmetical realm
>> defines the intrinsic first person indeterminacy of any universal
>> machine. Actually the eighth step shows that comp falsifies the usual
>> mind/physical-machine identity thesis, but it does not falsify a
>> weaker mind/many-mathematical machines thesis.
>>
>> If interested I suggest you study UDA in Sane2004, and ask any
>> questions, or find a flaw  etc.
>> (or wait for a more recent version I have yet to put on my page)
>>
>> Thanks for the reference to Kent's paper (it illustrates very well
>> the
>> knotty problems you get into when you keep Everett, materialism and
>> the identity thesis, but I have read it only diagonally just now).
>>
>> Hope this helped a bit.
>>
>> Bruno
>>
>>
>>
>>
>>
>>
>>
>>> On May 13, 11:30 am, Bruno Marchal <marc...@...> wrote:
>>>> Thanks Russell, I will take a look. At first sight he makes the
>>>> same
>>>> "error" with numbers that Wolfram makes with cellular automata.
>>>> Those
>>>> are still mathematical form of physicalism, incompatible with the
>>>> mechanist thesis in the cognitive science. Of course we converge
>>>> toward rather similar (recursively isomorphic or weakened)
>>>> ontologies.
>>>> But they seems to believe they can recover some physics from that,
>>>> where, saying "yes" to the surgeon requires to abandon that very
>>>> idea.
>>>> Physics, like in Plato and Plotinus, is not a mathematical
>>>> structure
>>>> among others, it is a mathematical structure which relate all
>>>> mathematical structures in a precise way. Physics is somehow much
>>>> more
>>>> fundamental than being a thing completely describable by a set of
>>>> mechanical laws.
>>>> Pu in another way, such theories are unaware of the mind-body
>>>> problem
>>>> and still use an identity relation between a mind and a
>>>> implementation
>>>> of a program which UDA forces to abandon, to be frank.
>>>> This does not mean those works are uninteresting of course, and
>>>> they
>>>> may play some role in the unravelling of the Minds and Bodies
>>>> problems. Sure.
>>
>>>> Bruno
>>
>>>> On 13 May 2009, at 01:15, russell standish wrote:
>>
>>>>> Hi Bruno,
>>
>>>>> Have you come across Victor Korotkikh's stuff? He's got a recent
>>>>> article out in Complexity:
>>
>>>>> http://www3.interscience.wiley.com/journal/121426751/abstract?CRETRY=
>>>>> ...
>>
>>>>> (Complexity, 14, 40-46)
>>
>>>>> It basically explores the organisational properties of the
>>>>> integers,
>>>>> prime numbers etc. Which is kind of interesting in a pure
>>>>> mathematical
>>>>> way, but he then uses this to model real complex systems, emergent
>>>>> properties and so on. If you can't get the above paper, here is a
>>>>> much
>>>>> earlier one that is not behind a paywall:
>>>>> http://www.complexity.org.au/ci/vol03/victor2/
>>
>>>>> I've met him a few times over the years - he's based in
>>>>> Townsville,
>>>>> about 2000km north of here. He's an intense Russian who's
>>>>> presentation
>>>>> is almost impenetrable - but there are people I respect who
>>>>> consider
>>>>> him a genius.
>>
>>>>> It struck me this morning how similar in many ways his programme
>>>>> is to
>>>>> yours. I suppose you both share a strong neo-platonic viewpoint
>>>>> for
>>>>> starters.
>>
>>>>> Cheers
>>
>>>>> --
>>
>>>>> --------------------------------------------------------------------------- -
>>>>> Prof Russell Standish                  Phone 0425 253119 (mobile)
>>>>> Mathematics
>>>>> UNSW SYDNEY 2052                    hpco...@...
>>>>> Australia                                http://
>>>>> www.hpcoders.com.au
>>>>> --------------------------------------------------------------------------- -
>>
>>>> http://iridia.ulb.ac.be/~marchal/-Hide quoted text -
>>
>>>> - Show quoted text -
>>
>> http://iridia.ulb.ac.be/~marchal/- Hide quoted text -
>>
>> - Show quoted text -
> >

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







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