Re: against UD+ASSA, part 1

2007-09-27 Thread Youness Ayaita

On 26 Sep., 14:39, Wei Dai [EMAIL PROTECTED] wrote:
 ASSA implies that just before you answer, you should think that you have
 0.91 probability of being in the universe with 0 up. Does that mean you
 should guess yes? Well, I wouldn't. If I was in that situation, I'd think
 If I answer 'no' my survivors are financially supported in 9 times as many
 universes as if I answer 'yes', so I should answer 'no'. How many copies of
 me exist in each universe doesn't matter, since it doesn't affect the
 outcome that I'm interested in.

 Notice that in this thought experiment my reasoning mentions nothing about
 probabilities. I'm not interested in my measure, but in the measures
 of the outcomes that I care about.

I do agree with you, Wei. Sometimes, it's not useful to consider the
expectation for your next observer moment---in particular, if you are
interested in what happens to other people (thus in the observer
moments they must expect for themselves). As I pointed out in my
recent message A question concerning the ASSA/RSSA debate, an
absolute measure over observer moments isn't necessary. Every specific
problem we are concerned with leads to a specific measure over
observer moments. In this context, I would refer the ideas of the ASSA/
RSSA to the problem What will I experience next? This is a problem
we are very often concerned with (for example if we perform an
observation or a measurement, also leading to the Born rule). But it's
not the only problem we might be interested in! So, this new
perspective can be seen as a generalization of the ASSA/RSSA. In our
rational decisions, we can include other aspects (e.g. other people)
than ourselves. Rationality is not restricted to self-sampling. We
could call this 'general rationality'.


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Re: No(-)Justification Justifies The Everything Ensemble

2007-09-27 Thread Russell Standish

On Wed, Sep 26, 2007 at 05:24:33PM +0200, Bruno Marchal wrote:
   
  Of course. But I also put Darwinian evolution up there with that 
  (variation/selection is a powerful theory). 
  
  
 
 This to vague for me. I have no (big) conceptual problem with Darwinian 
 Evolution, but this is not something fundamental at all. This has to be 
 derived from a more fundamental theory, as even today's Darwinist would 
 say (thinking about physics but we know that is wrong). 
 

It may well be that Darwinism is some marriage of information theory
with a multiverse idea, but it is not obvious how this works. I'd take
it as a fairly fundamental building block at this stage.

Your problem may be in the lack of formal precision. The real problem
is that there are too many formal models of evolution (eg any Genetic
Algorithm is a formal model of evolution), and not enough is known
about what features unite evolutionary processes.

 
 
 
  As is stated in Why Occams Razor, and made more explicit in 
  Importance of the Observer and Theory of Nothing, what is the U 
  used in computing the universal prior? It can be nothing other than 
  the observer. U needn't even be a machine, any partition of the 
  strings into measurable subsets suffices. 
  
  
 
 ? 

Which part didn't you understand? The partition bit? If S is the set
of strings, with a measure mu such that mu(S)=1, then a function
f:S-N such that

mu( f^{-1}(N) ) = 1

defines a partition { S_i = { x\in S| f(x)=i } | i \in N} of S.

 
 
  And this identification turns an essentially 3rd person account 
  into a 
  1st person account. To talk about ASSA or RSSA one has to introduce 
  some notion of time, or at least successor states. 
  
  
 
 Which we have without ay physical time notion, nor subjective time 
 notion with comp. Successor states are definable by use of numbers and 
 successor of numbers. This can be important given that everybody agrees 
 on numbers (except ultrafinitist, but I know only one in Russia), but 
 nobody agrees on what time could be (even the third person physical 
 one, or first person plural). 
 

Well I, for one, have not made the connection between the successor of
a number, and subjective time in COMP.

 
 
  In order to do this, I need to assume whatever is needed to even 
  make 
  sense of these concepts. At a minimum it would seem to include some 
  of 
  set theory, of measure theory and classical logic, but maybe it can 
  pared down to a more spartan set of axioms. The point is I 
  don't really care what is involved, but someone else will bother 
  themselves 
  with these details. That is why I say I'm acting like a physicist. 
  
  
 
 
 Yes. A problem (at least for communicating) in a non necessarily 
 physical context. 
 

Its all about covering as much territory as possible to work out if
there's anything interesting there.

 
 
  One way of connecting with what you do is to say that I assume the 
  existence of UD*, without concerning myself about the existence of 
  the 
  UD. 
  
  
 
 This does not make sense at all for me, given that the UD is 
 interesting only through the UD*. UD is just a rigorous definition 
 (logical name) of the UD*. 
 

Don't you see that the UD* is just the set of infinite strings?

 
 
  The CT thesis comes into play to justify the use of information 
  theory 
  
  
 
 Why? Actually information theory use CT only when it becomes 
 Algorithmic Information Theory. CT is needed to give scientific 
 meaning to expression like computable and above all expression like 
 NON computable. And with comp this is important given that comp makes 
 reality, whatver it is, partially but fundamentally NOT computable. 
 

And I get tired of typing algorithmic every time I mention information
theory.

Sure, the complexity measure I use is more general than the
algorithmic prefix complexity on which it is based. But it still needs
the concept of universal machine to get the link to Kolmogorv complexity.

 
 
  Regardless of what is really out there, all that we can know 
  about it must come to us in the form of strings, and so we can just 
  start with considering sets of strings. 
  
  
 
 This reminds me the particular case of the iterated Washington-Moscow 
 self-duplication. But in this case comp predicts random noise (even no 
 white rabbits).  

Are you really sure of this? What if it is a newborn child placed
inside the W-M duplication experiment, that repeats (100 times a
second might be fast enough). Don't you think the child might end up
distilling some sort of reality from what it observes? Perhaps most
don't, but only those that manage to build up some kind of coherent
reality from the random sequences of W's and M's ever become conscious.

...


 
  Let's consider a non-Brunotheological case. Your hypostases for 
  instance. I don't understand what makes some of them 1st person, 
  and 
  others 3rd person. 
  
  
 
 Good questions. It seems to me I have answered them, but don't hesitate 

Re: against UD+ASSA, part 1

2007-09-27 Thread marc . geddes



On Sep 27, 2:15 pm, Wei Dai [EMAIL PROTECTED] wrote:


 Yes. So my point is, even though the subjective probability computed by ASSA
 is intuitively appealing, we end up ignoring it, so why bother? We can
 always make the right choices by thinking directly about measures of
 outcomes and ignoring subjective probabilities.


OK, new thought experiement.  ;)

Barring a global disaster which wiped out all of the humanity or its
descendents, there would exist massively more observers in the future
than currently exist.
But you (as an observer) find you born amongst the earliest humans.
Since barring global disaster there will be massively more observers
in the future, why did you  find yourself born so early?  Surely your
probability of being born in the future (where there are far more
observers) was much much higher than your chances of being born so
early among a far smaller pool of observers?
The conclusion appears to be that there is an overwhelming probability
that we are on the brink of some global disaster which will wipe out
all humanity, since that would explain why we don't find ourselves
among the pool of future observers (because there are none).
Is the conclusion correct?



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Re: Conscious States vs. Conscious Computations

2007-09-27 Thread Youness Ayaita

Jason, let me split your ideas into two problems.

The first problem is to understand why and how observers interpret
data in a meaningful way despite of the fact that the data has no
unique meaning within itself.

On 26 Sep., 21:09, Jason [EMAIL PROTECTED] wrote:
 A given piece of data can represent an infinite number of different
 things depending on the software that interprets it.  What may be an
 mp3 file to one program may look like snow to an image editor.

If we invited an inhabitant of a strange universe to our universe
(e.g. to an interuniversal conference), he would most probably
perceive nothing but random noise (if his senses allow him to perceive
anything at all). He would feel like the image editor confronted with
an mp3 file. Though, the fact that we being humans perceive something
useful is self-evident since we are a product of evolution within our
universe. Useful interpretation of the environment has been a
necessary condition for survival. The successful analogy between an
observer and a computer program shows that the process of observation
has a computational character: The observer 'calculates' a meaning for
his perception in a systematic way (which was elaborated
evolutionary). We can formalize this similar to Russell and introduce
the map from descriptions to meanings as a property of the observer.

The second problem you address in your message concerns the embedding
of the observer in the universe's description (you write of self-
aware substructres). You give a very nice example:

 Some piece of advanced technology maps out the neural network of
 one's brain, including which neurons are firing at the instance the brain
 was scanned and then saves it as a file.  Does this file on the computer
 constitute an observer moment?  Does duplicating this file increase that
 observer moment's measure?  Or for it to constitute an observer does some
 software have to load the file and simulate future evolutions of brain
 states in a manner consistent with how a real brain would to create a valid
 observer moment?

Before I'm writing an uncompleted answer, I'd prefer to read what the
long-time participants (Russell, Bruno and others) are thinking about
this point.

Youness


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Re: Conscious States vs. Conscious Computations

2007-09-27 Thread John Mikes
Youness, your initial remark touches a valid point. I would go a bit
further, even further than Hal's reply which still addressed the topical map
within the Jason-idea - and deeper into Jason's well crafted position and
considerations in computer science thinking.
*
Remember, when the human mind was a steam-engine? then later it was a
telephone-switchboard? Now it is computer with the image in mind of that
embryonic contraption IBM et al. fabricate in binary primitiveness. Would
have Leibnitz, or Plato imagine a computer-based OM? of course not. Why do
we assume that NOW we have reached the ultimate in omniscience? that our
present toy is representing all?  Do we have any criticism for the new
gadget coming about in the 25th c.? Are we denying any  advancement?
(This list 'humbly' agreed in views representing a century ahead, Bruno's: 2
centuries, - the reason why I suggested the 25th c. 'new gadget' which may
be just as unforeseeable for people before its arrival as was a computer and
its workings before Charles Babbage.)
*
Those 'strings' in a 'software' are our present limitations for (wider?)
meanings that may go way beyond the 'perceived reality' of today. Which is
itself partial and incomplete.
I appreciate the 'present level' inventiveness and the discussions about
(logical?) incompleteness found in such, but always in mind that the
'position' is early 21st c. and prone to changing.
*
Jason wrote:
A given piece of data can represent an infinite number of different
things depending on the software that interprets it
The unidentified 'information: bit in our  binary machine, (0 or 1).
Strings identify it better, still applicable to any relation if in
'reasonable' length.
As Hal wrote:
My guess is that sufficiently long, meaningful data strings have
their meaning implicitly within themselves, because there is no
reasonable-length program that can interpret them as anything else.
Where I feel the 'doubt' to represent unlimitedly related meanings by
strings, that are representing only ...'meaning implicitly within
themselves'...
Infinite length strings maybe a solution, but maybe also an impractical
cop-out.

John Mikes






On 9/27/07, Youness Ayaita [EMAIL PROTECTED] wrote:


 Jason, let me split your ideas into two problems.

 The first problem is to understand why and how observers interpret
 data in a meaningful way despite of the fact that the data has no
 unique meaning within itself.

 On 26 Sep., 21:09, Jason [EMAIL PROTECTED] wrote:
  A given piece of data can represent an infinite number of different
  things depending on the software that interprets it.  What may be an
  mp3 file to one program may look like snow to an image editor.

 If we invited an inhabitant of a strange universe to our universe
 (e.g. to an interuniversal conference), he would most probably
 perceive nothing but random noise (if his senses allow him to perceive
 anything at all). He would feel like the image editor confronted with
 an mp3 file. Though, the fact that we being humans perceive something
 useful is self-evident since we are a product of evolution within our
 universe. Useful interpretation of the environment has been a
 necessary condition for survival. The successful analogy between an
 observer and a computer program shows that the process of observation
 has a computational character: The observer 'calculates' a meaning for
 his perception in a systematic way (which was elaborated
 evolutionary). We can formalize this similar to Russell and introduce
 the map from descriptions to meanings as a property of the observer.

 The second problem you address in your message concerns the embedding
 of the observer in the universe's description (you write of self-
 aware substructres). You give a very nice example:

  Some piece of advanced technology maps out the neural network of
  one's brain, including which neurons are firing at the instance the
 brain
  was scanned and then saves it as a file.  Does this file on the computer
  constitute an observer moment?  Does duplicating this file increase that
  observer moment's measure?  Or for it to constitute an observer does
 some
  software have to load the file and simulate future evolutions of brain
  states in a manner consistent with how a real brain would to create a
 valid
  observer moment?

 Before I'm writing an uncompleted answer, I'd prefer to read what the
 long-time participants (Russell, Bruno and others) are thinking about
 this point.

 Youness


 


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Re: against UD+ASSA, part 1

2007-09-27 Thread Russell Standish

On Thu, Sep 27, 2007 at 12:06:42PM -, [EMAIL PROTECTED] wrote:
 
 OK, new thought experiement.  ;)
 
 Barring a global disaster which wiped out all of the humanity or its
 descendents, there would exist massively more observers in the future
 than currently exist.
 But you (as an observer) find you born amongst the earliest humans.
 Since barring global disaster there will be massively more observers
 in the future, why did you  find yourself born so early?  Surely your
 probability of being born in the future (where there are far more
 observers) was much much higher than your chances of being born so
 early among a far smaller pool of observers?
 The conclusion appears to be that there is an overwhelming probability
 that we are on the brink of some global disaster which will wipe out
 all humanity, since that would explain why we don't find ourselves
 among the pool of future observers (because there are none).
 Is the conclusion correct?
 

This is the standard Doomsday argument, which has been well
discussed. In this case, disaster just means population decline. A
world population decline to say 1 billion over the next couple of
centuries, with a slower decline after that is probably enough to
ensure the SSA predicts a near peak population observation. Although I
haven't done the maths on this one - I did it on assuming current
exponential growth continues, how long have we got until the crash,
and it's less than 100 years, so we can say there must be a population
decline of some sort before then (assuming validity of the DA).

The only other historical time the Doosmday Argument predicts
disaster before our current time was during the Golden Age of
ancient Greece. And, sure enough, there was a significant population
decline around 200 BCE. This is in appendix B of my book - I really
must get around to writing this up as a peer reviewed article though.

Cheers


A/Prof Russell Standish  Phone 0425 253119 (mobile)
Mathematics  
UNSW SYDNEY 2052 [EMAIL PROTECTED]
Australiahttp://www.hpcoders.com.au


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