Re: Justifying the Theory of Everything

2007-07-08 Thread Wei Dai

Jason wrote:
 I have seen two main justifications on this list for the everything
 ensemble, the first comes from information theory which says the
 information content of everything is zero (or close to zero).  The
 other is mathematicalism/arithmatical realism which suggests
 mathematical truth exists independandly of everything else and is the
 basis for everything.

 My question to the everything list is: which explaination do you
 prefer and why?  Are these two accounts compatible, incompatible, or
 complimentary?  Additionally, if you subscribe to or know of other
 justifications I would be interesting in hearing it.

These two justifications are about equally attractive to me. I also have a 
couple of other justifications.

Aesthetic: If anything doesn't exist, it's non-existence would constitute an 
element of arbitrariness, given that anything exists at all. We shouldn't 
accept arbitrariness unless there's a good reason for it, and there doesn't 
seem to be one.

Pragmatic: We have to accept that there is at least a non-zero probability 
that all possible universes exist. Unless there is reason to believe that 
the probability is so small as to be negligible (and I don't see such a 
reason), we will need to consider the everything ensemble when making 
predictions and decisions. Given that, why not believe that the probability 
is one? The probabilities for all other possible collections of universes 
can be folded into the measure over the everything ensemble in such a way 
that all of the predictions and decisions come out the same way as before. 



--~--~-~--~~~---~--~~
You received this message because you are subscribed to the Google Groups 
Everything List group.
To post to this group, send email to [EMAIL PROTECTED]
To unsubscribe from this group, send email to [EMAIL PROTECTED]
For more options, visit this group at 
http://groups.google.com/group/everything-list?hl=en
-~--~~~~--~~--~--~---



Re: Justifying the Theory of Everything

2007-07-08 Thread Brent Meeker

Wei Dai wrote:
 Jason wrote:
 I have seen two main justifications on this list for the everything
 ensemble, the first comes from information theory which says the
 information content of everything is zero (or close to zero).  The
 other is mathematicalism/arithmatical realism which suggests
 mathematical truth exists independandly of everything else and is the
 basis for everything.

 My question to the everything list is: which explaination do you
 prefer and why?  Are these two accounts compatible, incompatible, or
 complimentary?  Additionally, if you subscribe to or know of other
 justifications I would be interesting in hearing it.
 
 These two justifications are about equally attractive to me. I also have a 
 couple of other justifications.
 
 Aesthetic: If anything doesn't exist, it's non-existence would constitute an 
 element of arbitrariness, given that anything exists at all. We shouldn't 
 accept arbitrariness unless there's a good reason for it, and there doesn't 
 seem to be one.

It would be a peculiar kind of arbitrariness that had a good reason for it. :-)

But what constitutes a good reason?  Does a good reason have to show that the 
result is inevitable?  or merely probable?

 
 Pragmatic: We have to accept that there is at least a non-zero probability 
 that all possible universes exist. 

This seems to be a tautology: P0 = possible.  The question is what is 
possible and in what sense of possible.  Certainly many things are logically 
possible: flying pigs, Santa Claus, and victory in Iraq.  But if we assign a 
non-zero probability to one of theses we are just quantifying the uncertainty 
of our knowledge.

Brent Meeker

Unless there is reason to believe that 
 the probability is so small as to be negligible (and I don't see such a 
 reason), we will need to consider the everything ensemble when making 
 predictions and decisions. Given that, why not believe that the probability 
 is one? The probabilities for all other possible collections of universes 
 can be folded into the measure over the everything ensemble in such a way 
 that all of the predictions and decisions come out the same way as before. 
 
 
 
  
 
 


--~--~-~--~~~---~--~~
You received this message because you are subscribed to the Google Groups 
Everything List group.
To post to this group, send email to [EMAIL PROTECTED]
To unsubscribe from this group, send email to [EMAIL PROTECTED]
For more options, visit this group at 
http://groups.google.com/group/everything-list?hl=en
-~--~~~~--~~--~--~---



Re: Justifying the Theory of Everything

2007-07-08 Thread Russell Standish

  Jason wrote:
  I have seen two main justifications on this list for the everything
  ensemble, the first comes from information theory which says the
  information content of everything is zero (or close to zero).  The
  other is mathematicalism/arithmatical realism which suggests
  mathematical truth exists independandly of everything else and is the
  basis for everything.
 
  My question to the everything list is: which explaination do you
  prefer and why?  Are these two accounts compatible, incompatible, or
  complimentary?  Additionally, if you subscribe to or know of other
  justifications I would be interesting in hearing it.

Another justification is rather indirect. Following the arguments in
Theory of Nothing (also mostly available in Why Occams Razor and On
the Importance of the Observer in Science), a number of really curly
philosophical problems melt away in a blaze of understanding. I refer
here to 

1) Occams Razor
2) The problem of Induction
3) Why anything bothers to exist
4) The Hilbert space structure of QM

Of course its not all plain sailing - the problem of the Occam
catastrophe means that the Anthropic Principle is rather mysterious,
rather than trivially obvious as it is in naive realist theories.

However solving 4 unsolvable mysteries in exchange for having another
one is not a bad deal, and is a pretty good justification for taking
these theories seriously.

-- 


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


--~--~-~--~~~---~--~~
You received this message because you are subscribed to the Google Groups 
Everything List group.
To post to this group, send email to [EMAIL PROTECTED]
To unsubscribe from this group, send email to [EMAIL PROTECTED]
For more options, visit this group at 
http://groups.google.com/group/everything-list?hl=en
-~--~~~~--~~--~--~---



Re: Justifying the Theory of Everything

2007-07-01 Thread David Nyman
On 01/07/07, George Levy [EMAIL PROTECTED] wrote:

GL:  I do not accept as primitive an independent
mathematicalism/arithmetical realism. I think that math and logic are
co-emergent with the consciousness of the observer. In addition physics is
also co-emergent with the observer. So in a sense the I or first person is
primitive-emergent. I, math and physics are all anthropically linked.

DN:  Hi George.  I agree with the substance of this, and similar intuitions
lie behind my recent posts.  Perhaps to avoid seemingly inevitable
terminological confusions over the I and the first person, I might put it
that a 0-personal self is primitive-emergent, and 1-persons or observers
emerge from self-relative localisations of this.

GL:  The simplest theory of everyting is that everything exists. But this is
hardly satisfying. A useful theory of everything should bring in the
observer as a boundary condition.

DN:  Yes, perhaps one could say that the 'self' is the 'everything' that
exists, but that the self is not finite.  Finitude manifests as the
spontaneous symmetry-breaking of the self, or self-relativisation, which is
then equivalent to self-actualisation in terms of the co-emergence of
observers and physics.  Math and logic in turn would emerge as aspects of
the observer description of co-emergence, not the physical description.

GL:  This would correspond to the I being equally at home in multiple
different worlds or equivalently that multiple worlds would be in a
superposition with respect to the I.

DN:  Yes, this is a good way to phrase it.  Relative co-emergence of
1-persons and physical structures would then equate to observer-dependent
decoherence from the superposition of multiple worlds with respect to the
self.  Any arbitrarily finite degree of actualisation from the 'plenitude' -
or which model is 'true' - may indeed be indeterminate. To paraphrase
somebody or other, perhaps even a TOE need be infinite enough to save the
appearances, but not more so. So as an aspect of such a theory, the
plenitude allows us to extract any arbitrary limit of possible observed
relationships from 'infinity' by postulating, as you say, the observer (or
any possible observer) as the boundary condition.

David

 Hi Jason

 I have not contributed to the list for a while but your question interests
 me.
 I do not accept as primitive an independent mathematicalism/arithmetical
 realism. I think that math and logic are co-emergent with the consciousness
 of the observer. In addition physics is also co-emergent with the observer.
 So in a sense the I or first person is primitive-emergent. I, math and
 physics are all anthropically linked.

 The information of the plenitude being zero is the simplest case that
 requires the least explanation. Any other information content would have to
 be justified, and that would force us an endless causal chain. Now let me
 qualify that the *perceived* information of the plenitude is definitely
 not zero because it is contingent on the observer. Here the causal chain can
 begin at the observer.

 The simplest theory of everyting is that everything exists. But this is
 hardly satisfying. A useful theory of everything should bring in the
 observer as a boundary condition. The theory, more precisely, which physical
 model is true, may be indeterminate. This indeterminacy would be analogous
 to quantum indeterminacy applied to the cosmic scale. This would correspond
 to the I being equally at home in multiple different worlds or
 equivalently that multiple worlds would be in a superposition with respect
 to the I.

 George

 Jason wrote:

 I have seen two main justifications on this list for the everything
 ensemble, the first comes from information theory which says the
 information content of everything is zero (or close to zero).  The
 other is mathematicalism/arithmatical realism which suggests
 mathematical truth exists independandly of everything else and is the
 basis for everything.

 My question to the everything list is: which explaination do you
 prefer and why?  Are these two accounts compatible, incompatible, or
 complimentary?  Additionally, if you subscribe to or know of other
 justifications I would be interesting in hearing it.

 Thanks,

 Jason







 


--~--~-~--~~~---~--~~
You received this message because you are subscribed to the Google Groups 
Everything List group.
To post to this group, send email to [EMAIL PROTECTED]
To unsubscribe from this group, send email to [EMAIL PROTECTED]
For more options, visit this group at 
http://groups.google.com/group/everything-list?hl=en
-~--~~~~--~~--~--~---



Re: Justifying the Theory of Everything

2007-06-30 Thread Torgny Tholerus

Jason skrev:
 I have seen two main justifications on this list for the everything
 ensemble, the first comes from information theory which says the
 information content of everything is zero (or close to zero).  The
 other is mathematicalism/arithmatical realism which suggests
 mathematical truth exists independandly of everything else and is the
 basis for everything.

 My question to the everything list is: which explaination do you
 prefer and why?  Are these two accounts compatible, incompatible, or
 complimentary?  Additionally, if you subscribe to or know of other
 justifications I would be interesting in hearing it.
   
Both justifications are true.  All mathematical possible universes 
exist.  (Game of Life is one possibility...)  But this theory doesn't 
say anything about our universe.  So the information content is zero.

-- 
Torgny Tholerus


--~--~-~--~~~---~--~~
You received this message because you are subscribed to the Google Groups 
Everything List group.
To post to this group, send email to [EMAIL PROTECTED]
To unsubscribe from this group, send email to [EMAIL PROTECTED]
For more options, visit this group at 
http://groups.google.com/group/everything-list?hl=en
-~--~~~~--~~--~--~---



Re: Justifying the Theory of Everything

2007-06-30 Thread Russell Standish

On Fri, Jun 29, 2007 at 03:48:54PM -, Jason wrote:
 
 I have seen two main justifications on this list for the everything
 ensemble, the first comes from information theory which says the
 information content of everything is zero (or close to zero).  The
 other is mathematicalism/arithmatical realism which suggests
 mathematical truth exists independandly of everything else and is the
 basis for everything.
 
 My question to the everything list is: which explaination do you
 prefer and why?  Are these two accounts compatible, incompatible, or
 complimentary?  Additionally, if you subscribe to or know of other
 justifications I would be interesting in hearing it.
 
 Thanks,
 
 Jason
 

I take the view that mathematics is all about data
compression. Certain mathematical structures are chosen as the laws of
physics because they have a utility in accurately reprsenting reality
in as minimal a fashion as possible. Note that the most accurate
description of the real worl is just the raw data, and the most
minimal mathematical model has poor predictive ability. As in
everything, useful physical models are a tradeoff.

So if all possible descriptions exist (ie all possible forms of raw
data), with overall zero information complexity, then all forms of
mathematical compression will be useful in one context or another,
subject to any anthropic constraints (how can something be useful, if
nobody finds it useful?)

Cheers


-- 


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


--~--~-~--~~~---~--~~
You received this message because you are subscribed to the Google Groups 
Everything List group.
To post to this group, send email to [EMAIL PROTECTED]
To unsubscribe from this group, send email to [EMAIL PROTECTED]
For more options, visit this group at 
http://groups.google.com/group/everything-list?hl=en
-~--~~~~--~~--~--~---



Justifying the Theory of Everything

2007-06-29 Thread Jason

I have seen two main justifications on this list for the everything
ensemble, the first comes from information theory which says the
information content of everything is zero (or close to zero).  The
other is mathematicalism/arithmatical realism which suggests
mathematical truth exists independandly of everything else and is the
basis for everything.

My question to the everything list is: which explaination do you
prefer and why?  Are these two accounts compatible, incompatible, or
complimentary?  Additionally, if you subscribe to or know of other
justifications I would be interesting in hearing it.

Thanks,

Jason


--~--~-~--~~~---~--~~
You received this message because you are subscribed to the Google Groups 
Everything List group.
To post to this group, send email to [EMAIL PROTECTED]
To unsubscribe from this group, send email to [EMAIL PROTECTED]
For more options, visit this group at 
http://groups.google.com/group/everything-list?hl=en
-~--~~~~--~~--~--~---