Re: Solipsism (was: Numbers)

2006-03-28 Thread Bruno Marchal


Le 17-mars-06, à 20:27, Hal Finney a écrit :


 Here is where I may depart from Bruno, although I am not sure.  I argue
 that you can in fact set up a probability distribution over all of the
 places in the UD where your mind exists, and it is based roughly on the
 size of the part of the UD program that creates that information 
 pattern.
 Recall that the UD in effect runs all programs at once.  But some 
 programs
 are shorter than others.  I use the notion of algorithmic complexity
 and the associated measure, which is called the Universal Distribution
 (an unfortunate collision of the UD acronym).  Basically this says that
 the measure of the output of a given UD program of n bits is 1/2^n.


What remains to be explained here is how you attach the first person 
indeterminacy, (which is relative to any member of the class of the 
third person describable states occuring anywhere in the universal 
deployment) and the measure coming from your Universal Distribution.
Given that a first person cannot be aware of any delays of 
reconstitution of himself in the deployment, it seems to me you need 
to provide more motivation for your distribution (which is also based 
on comp). How to avoid the inescapable redundancy of states and 
histories generated by the UD, and the fact that the delay-invariance 
indeterminacy forces us to take into account all finite portion of the 
deployment.

Bruno



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


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Re: Solipsism (was: Numbers)

2006-03-19 Thread John M


Bruno:
let me draw your attention to one little phrasing in
Hal's (and everybody else's, I presume, as I read
these posts)- text:
If we assume...
And if we do not? 
Or: many people think so ... - many think otherwise.
 John


--- Bruno Marchal [EMAIL PROTECTED] wrote:

 
 
 Le 17-mars-06, à 20:27, Hal Finney a écrit :
 
 
  John M writes:
  1. do we have a REAL argument against solipsism?
 
  Let me express how solipsism can be analyzed in
 the model where 
  physical
  reality is part of mathematical reality.
 
  Let us adopt Bruno's UDA perspective: the
 Universal Dovetailer (UD)
  is an abstract machine that runs all possible
 computer programs.
  In this way it creates all possible universes, and
 more... it creates
  all possible information objects: all of
 mathematics, logic, all 
  written
  texts, everything.  In particular it creates the
 information patterns
  of conscious entities like you and me.
 
  Let us assume that this in fact represents the
 reality of the 
  multiverse,
  that what we perceive and experience is all caused
 by the operation
  of the UD, when it creates information patterns
 that correspond to
  those experienes.  I know that many people here
 reject this hypothesis,
  but let us follow it forward to see what it can
 say about solipsism.
 
  The first thing to notice is that within the UD,
 each person exists 
  more
  than once.  There are many programs that include a
 particular 
  information
  pattern in their output, in fact an infinite
 number of programs.  Some 
  of
  those programs will look much like the kind of
 model a physicist might
  construct for a theory of everything.  It would
 include the physical
  laws and initial conditions that define our
 universe.  Running that
  program forward would create the entire history of
 our universe, 
  including
  the experiences of all of its inhabitants.
 
  However there are other kinds of programs that
 would also create the
  patterns of our conscious experiences.  Some might
 do it purely by 
  random
  chance: they might produce enormous outputs and
 somewhere buried in 
  there
  will be the pattern that corresponds to a portion
 of our experience.
  Others would include bizarre universes such as one
 inhabited by aliens
  who create computer simulations of other kinds of
 beings, and who have
  created us.  Yet another example would be a
 universe composed only of 
  one
  person, with all that is outside of him being
 supplied by the computer
  program, perhaps from some kind of table of
 sensory impressions, so 
  that
  only he is real within that universe.
 
  Solipsism is the doctrine that only I exist, that
 everything else is an
  illusion.  In the context of the platonic
 multiverse, it would 
  correspond
  to that last case: a portion of the UD program
 where only the one 
  person
  is in his universe, and nothing else in the
 universe is real.
 
  So this raises the question: given that I exist
 multiple times within
  the UD structure, and given that in some of them
 the universe I see
  around me is real and in some of them it is an
 illusion, which is the
  reality for me?  In which one do I actually exist?
 
  I believe Bruno argues, and I agree, that this is
 a meaningless 
  question.
  You exist in all of them.  There is no single
 instance of your 
  information
  pattern which is really you.  Your consciousness
 spans all of the
  places in the UD where it is instantiated. 
 However, there is a related
  question which is relevant: what will happen next?
  If some of your
  consciousness is in the real universe, and some of
 it is in universes
  where you are an alien simulation, some in a
 universe where it is a
  random fluctuation, and some in a universe where
 you are all there is,
  how can you make a prediction about the future? 
 In the random universe
  you would expect to disintegrate into chaos.  In
 the aliens, they might
  open up the simulation and start talking to you. 
 In the solipsism 
  case,
  various bizarre things might happen.  And in the
 plain vanilla 
  universe,
  you would expect things to go along pretty much as
 you remember them.
 
  Here is where I may depart from Bruno, although I
 am not sure.
 
 
 OK.
 
 
 
  I argue
  that you can in fact set up a probability
 distribution over all of the
  places in the UD where your mind exists, and it is
 based roughly on the
  size of the part of the UD program that creates
 that information 
  pattern.
 
 
 I will take the time to come back on this. I have a
 problem with this 
 which is not entirely unrelated to our perennial
 ASSA/RSSA debate.
 Another problem is related with the fact that from
 the first person 
 point of view it is hard to distinguish big and
 little programs, and 
 their way of recurring hyper-redundantly.
 
 
 
 
  Recall that the UD in effect runs all programs at
 once.  But some 
  programs
  are shorter than others.  I use the notion of
 algorithmic complexity
  and the associated 

Re: Solipsism (was: Numbers)

2006-03-18 Thread Bruno Marchal


Le 17-mars-06, à 20:27, Hal Finney a écrit :


 John M writes:
 1. do we have a REAL argument against solipsism?

 Let me express how solipsism can be analyzed in the model where 
 physical
 reality is part of mathematical reality.

 Let us adopt Bruno's UDA perspective: the Universal Dovetailer (UD)
 is an abstract machine that runs all possible computer programs.
 In this way it creates all possible universes, and more... it creates
 all possible information objects: all of mathematics, logic, all 
 written
 texts, everything.  In particular it creates the information patterns
 of conscious entities like you and me.

 Let us assume that this in fact represents the reality of the 
 multiverse,
 that what we perceive and experience is all caused by the operation
 of the UD, when it creates information patterns that correspond to
 those experienes.  I know that many people here reject this hypothesis,
 but let us follow it forward to see what it can say about solipsism.

 The first thing to notice is that within the UD, each person exists 
 more
 than once.  There are many programs that include a particular 
 information
 pattern in their output, in fact an infinite number of programs.  Some 
 of
 those programs will look much like the kind of model a physicist might
 construct for a theory of everything.  It would include the physical
 laws and initial conditions that define our universe.  Running that
 program forward would create the entire history of our universe, 
 including
 the experiences of all of its inhabitants.

 However there are other kinds of programs that would also create the
 patterns of our conscious experiences.  Some might do it purely by 
 random
 chance: they might produce enormous outputs and somewhere buried in 
 there
 will be the pattern that corresponds to a portion of our experience.
 Others would include bizarre universes such as one inhabited by aliens
 who create computer simulations of other kinds of beings, and who have
 created us.  Yet another example would be a universe composed only of 
 one
 person, with all that is outside of him being supplied by the computer
 program, perhaps from some kind of table of sensory impressions, so 
 that
 only he is real within that universe.

 Solipsism is the doctrine that only I exist, that everything else is an
 illusion.  In the context of the platonic multiverse, it would 
 correspond
 to that last case: a portion of the UD program where only the one 
 person
 is in his universe, and nothing else in the universe is real.

 So this raises the question: given that I exist multiple times within
 the UD structure, and given that in some of them the universe I see
 around me is real and in some of them it is an illusion, which is the
 reality for me?  In which one do I actually exist?

 I believe Bruno argues, and I agree, that this is a meaningless 
 question.
 You exist in all of them.  There is no single instance of your 
 information
 pattern which is really you.  Your consciousness spans all of the
 places in the UD where it is instantiated.  However, there is a related
 question which is relevant: what will happen next?  If some of your
 consciousness is in the real universe, and some of it is in universes
 where you are an alien simulation, some in a universe where it is a
 random fluctuation, and some in a universe where you are all there is,
 how can you make a prediction about the future?  In the random universe
 you would expect to disintegrate into chaos.  In the aliens, they might
 open up the simulation and start talking to you.  In the solipsism 
 case,
 various bizarre things might happen.  And in the plain vanilla 
 universe,
 you would expect things to go along pretty much as you remember them.

 Here is where I may depart from Bruno, although I am not sure.


OK.



 I argue
 that you can in fact set up a probability distribution over all of the
 places in the UD where your mind exists, and it is based roughly on the
 size of the part of the UD program that creates that information 
 pattern.


I will take the time to come back on this. I have a problem with this 
which is not entirely unrelated to our perennial ASSA/RSSA debate.
Another problem is related with the fact that from the first person 
point of view it is hard to distinguish big and little programs, and 
their way of recurring hyper-redundantly.




 Recall that the UD in effect runs all programs at once.  But some 
 programs
 are shorter than others.  I use the notion of algorithmic complexity
 and the associated measure, which is called the Universal Distribution
 (an unfortunate collision of the UD acronym).  Basically this says that
 the measure of the output of a given UD program of n bits is 1/2^n.



Yes. And it is even a machine independent notion (modulo some 
constant). But big programs cannot be dismissed so easily, I will 
try to find a short explanation for why I think saying yes to the 
doctor makes, for the first person point of view,  

Solipsism (was: Numbers)

2006-03-17 Thread Hal Finney

John M writes:
 1. do we have a REAL argument against solipsism?

Let me express how solipsism can be analyzed in the model where physical
reality is part of mathematical reality.

Let us adopt Bruno's UDA perspective: the Universal Dovetailer (UD)
is an abstract machine that runs all possible computer programs.
In this way it creates all possible universes, and more... it creates
all possible information objects: all of mathematics, logic, all written
texts, everything.  In particular it creates the information patterns
of conscious entities like you and me.

Let us assume that this in fact represents the reality of the multiverse,
that what we perceive and experience is all caused by the operation
of the UD, when it creates information patterns that correspond to
those experienes.  I know that many people here reject this hypothesis,
but let us follow it forward to see what it can say about solipsism.

The first thing to notice is that within the UD, each person exists more
than once.  There are many programs that include a particular information
pattern in their output, in fact an infinite number of programs.  Some of
those programs will look much like the kind of model a physicist might
construct for a theory of everything.  It would include the physical
laws and initial conditions that define our universe.  Running that
program forward would create the entire history of our universe, including
the experiences of all of its inhabitants.

However there are other kinds of programs that would also create the
patterns of our conscious experiences.  Some might do it purely by random
chance: they might produce enormous outputs and somewhere buried in there
will be the pattern that corresponds to a portion of our experience.
Others would include bizarre universes such as one inhabited by aliens
who create computer simulations of other kinds of beings, and who have
created us.  Yet another example would be a universe composed only of one
person, with all that is outside of him being supplied by the computer
program, perhaps from some kind of table of sensory impressions, so that
only he is real within that universe.

Solipsism is the doctrine that only I exist, that everything else is an
illusion.  In the context of the platonic multiverse, it would correspond
to that last case: a portion of the UD program where only the one person
is in his universe, and nothing else in the universe is real.

So this raises the question: given that I exist multiple times within
the UD structure, and given that in some of them the universe I see
around me is real and in some of them it is an illusion, which is the
reality for me?  In which one do I actually exist?

I believe Bruno argues, and I agree, that this is a meaningless question.
You exist in all of them.  There is no single instance of your information
pattern which is really you.  Your consciousness spans all of the
places in the UD where it is instantiated.  However, there is a related
question which is relevant: what will happen next?  If some of your
consciousness is in the real universe, and some of it is in universes
where you are an alien simulation, some in a universe where it is a
random fluctuation, and some in a universe where you are all there is,
how can you make a prediction about the future?  In the random universe
you would expect to disintegrate into chaos.  In the aliens, they might
open up the simulation and start talking to you.  In the solipsism case,
various bizarre things might happen.  And in the plain vanilla universe,
you would expect things to go along pretty much as you remember them.

Here is where I may depart from Bruno, although I am not sure.  I argue
that you can in fact set up a probability distribution over all of the
places in the UD where your mind exists, and it is based roughly on the
size of the part of the UD program that creates that information pattern.
Recall that the UD in effect runs all programs at once.  But some programs
are shorter than others.  I use the notion of algorithmic complexity
and the associated measure, which is called the Universal Distribution
(an unfortunate collision of the UD acronym).  Basically this says that
the measure of the output of a given UD program of n bits is 1/2^n.

This gives us a probability distribution over all the places our minds
are implemented, such that the shortest program(s) get the bulk of
the probability.  This has relationships to such traditional notions as
Occam's Razor, as Russell Standish has emphasized.  Just as we say that
the simplest explanation for our observations is likely to be correct,
so we can say that the simplest program which creates our experiences
is likely to be the one that governs what will happen next.

In principle, it should become possible eventually to turn this reasoning
into at least rough quantitative form.  We will eventually have a
complete model for our physical universe, so we can compute its measure
and determine how big a contribution