Re: Intelligence, Aesthetics and Bayesianism: Game over!

2008-08-22 Thread Bruno Marchal


On 21 Aug 2008, at 18:32, Tom Caylor wrote:


 I see that fractals also came up in the other current thread.

 I can see the believableness of your conjecture (Turing-completeness
 of the Mandelbrot set), but I see this (if true) as intuitive
 (heuristic, circumstantial) evidence that reality is more than what
 can be computed.


I agree. Recall that truth about just numbers is far bigger than  
what can be computed.






 (My belief in the intuition's base outside of
 computation is an example of where I'm coming from.)  There are
 undecidable properties of fractals (iterative function systems, IFS),
 and it has been conjectured that all non-trivial properties of IFS's
 are undecidable.  With the Mandelbrot set it is so geometrically
 complex (the pun here is appropriate since this set involves the
 complex numbers) that it is easy to believe that you could find your
 mother-in-law of even a super-model in there somewhere.


Yes, although her peculiar state of consciousness is terribly  
distributed, and we have to distinguish the many pov ...



 But take
 another fractal like the Koch Snowflake, which also has undecidable
 properties.  Yet is it entirely made of line segments which are at
 only three angles.  I can't believe that reality could be restricted
 to this kind of complexity.


I think so to. But not all undecidable set have to be universal.
(Actually I am not sure of which undecidable properties of Koch  
Snowflake you allude to)



 Have you heard of fractal Turing machines, which incorporate real
 numbers?  Perhaps this is something to be explored in the Everything
 discussion.


You mean the work of Blum, Shub and Smale? Yes, it gives a proof of  
the undecidability of the Mandelbrot set with an enough good  
generalization of computability on the real (or on any ring actually).  
But its universality or creativity (in Emil Post sense, or its Blum,  
Shub Smale variant) remains to be proved.


Bruno




 On Aug 13, 2:23 am, Bruno Marchal [EMAIL PROTECTED] wrote:
 Hi Tom,



 Nice.  I see beauty in the Mandelbrot set.  However, there seems  
 to be
 a lot of deja vu, similar repetition on a theme.

 Right. But full of subtle variations.
 It is all normal to have a lot of deja vu when you make a journey
 across a multiverse ...

  I have never been
 able to find anything resembling a beautiful girl,

 You are not looking close enough, and also, the zoom movie remains a
 pure third person description. Consciousness is more related to a
 internal flux or to some stroboscopic inside views in the Mandelbrot
 Set (assuming the conjecture).
 It is a bit like looking to a picture of a galaxy. You will not see
 beautiful girls, unless you look close enough, and from the right
 perspective.

 or even a mother-in-
 law, or a white rabbit.  This seems to go against your conjecture.

 (remember also that not seeing something is not an argument of
 not-existence, like seeing something is not an argument for  
 existence).
 If you want to see a white rabbit (*the* white rabbit),  the best
 consists in looking at

 http://fr.youtube.com/watch?v=Z5XfQWKgf4Mfeature=related

 As for the mother-in-law, I am not sure about your motivations ...
 (Holiday jokes :)

 Bruno







 Tom

 On Aug 12, 8:30 am, Bruno Marchal [EMAIL PROTECTED] wrote:
 On 09 Aug 2008, at 09:44, Tom Caylor wrote:

 I believe that nature is not primarily functional. It is primarily
 beautiful.
 And this from a theist?  Yes!  This is actually to the core  
 point of
 why I am a theist.  I don't blame people for not believing in  
 God if
 they think God is about functionality.

 If you remember my conjecture that the Mandelbrot Set, (well, its
 complement in the complex plane), is Turing complete (that is
 equivalent in some sense to a universal dovetailing), then  
 zooming in

 it gives a picture of the arithmetical multiverse or of the  
 universal

 deployment. And I do find most of them wonderfully beautiful.  
 Here is

 my favorite on youtube:

 http://www.youtube.com/watch?v=G0nmVUU_7IQ

 Is that not wonderful? Awesome ?

 Bruno

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

 http://iridia.ulb.ac.be/~marchal/- Hide quoted text -

 - Show quoted text -
 

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




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Re: Intelligence, Aesthetics and Bayesianism: Game over!

2008-08-21 Thread Tom Caylor

I see that fractals also came up in the other current thread.

I can see the believableness of your conjecture (Turing-completeness
of the Mandelbrot set), but I see this (if true) as intuitive
(heuristic, circumstantial) evidence that reality is more than what
can be computed.  (My belief in the intuition's base outside of
computation is an example of where I'm coming from.)  There are
undecidable properties of fractals (iterative function systems, IFS),
and it has been conjectured that all non-trivial properties of IFS's
are undecidable.  With the Mandelbrot set it is so geometrically
complex (the pun here is appropriate since this set involves the
complex numbers) that it is easy to believe that you could find your
mother-in-law of even a super-model in there somewhere.  But take
another fractal like the Koch Snowflake, which also has undecidable
properties.  Yet is it entirely made of line segments which are at
only three angles.  I can't believe that reality could be restricted
to this kind of complexity.

Have you heard of fractal Turing machines, which incorporate real
numbers?  Perhaps this is something to be explored in the Everything
discussion.

Tom

On Aug 13, 2:23 am, Bruno Marchal [EMAIL PROTECTED] wrote:
 Hi Tom,



  Nice.  I see beauty in the Mandelbrot set.  However, there seems to be
  a lot of deja vu, similar repetition on a theme.

 Right. But full of subtle variations.
 It is all normal to have a lot of deja vu when you make a journey
 across a multiverse ...

   I have never been
  able to find anything resembling a beautiful girl,

 You are not looking close enough, and also, the zoom movie remains a
 pure third person description. Consciousness is more related to a
 internal flux or to some stroboscopic inside views in the Mandelbrot
 Set (assuming the conjecture).
 It is a bit like looking to a picture of a galaxy. You will not see
 beautiful girls, unless you look close enough, and from the right
 perspective.

  or even a mother-in-
  law, or a white rabbit.  This seems to go against your conjecture.

 (remember also that not seeing something is not an argument of
 not-existence, like seeing something is not an argument for existence).
 If you want to see a white rabbit (*the* white rabbit),  the best
 consists in looking at

 http://fr.youtube.com/watch?v=Z5XfQWKgf4Mfeature=related

 As for the mother-in-law, I am not sure about your motivations ...
 (Holiday jokes :)

 Bruno







  Tom

  On Aug 12, 8:30 am, Bruno Marchal [EMAIL PROTECTED] wrote:
  On 09 Aug 2008, at 09:44, Tom Caylor wrote:

  I believe that nature is not primarily functional. It is primarily
  beautiful.
  And this from a theist?  Yes!  This is actually to the core point of
  why I am a theist.  I don't blame people for not believing in God if
  they think God is about functionality.

  If you remember my conjecture that the Mandelbrot Set, (well, its  
  complement in the complex plane), is Turing complete (that is  
  equivalent in some sense to a universal dovetailing), then zooming in
   
  it gives a picture of the arithmetical multiverse or of the universal
   
  deployment. And I do find most of them wonderfully beautiful. Here is
   
  my favorite on youtube:

 http://www.youtube.com/watch?v=G0nmVUU_7IQ

  Is that not wonderful? Awesome ?

  Bruno

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

 http://iridia.ulb.ac.be/~marchal/- Hide quoted text -

 - Show quoted text -
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Re: Intelligence, Aesthetics and Bayesianism: Game over!

2008-08-21 Thread Michael Rosefield
Even if the Koch Snowflake is restricted to those 3 angles, you don't have
to be restricted to the Snowflake itself -- by expanding, contracting or
transforming the space of interest, you can get somewhere more interesting
(anywhere you want, maybe?). For example, if you take the natural numbers,
you can expand to the naturals, rationals, reals, etc., contract to the
primes, transform to... err... something else.

My feeling being that basically you can always abstract away through some
kind of equivalence principle whenever the information available to you
doesn't explicitly forbid it.

I think it's time for someone to tear my ideas apart; after all, they're all
really just based on consideration of some themes from Greg Egan's books I
read about 8 years ago


2008/8/21 Tom Caylor [EMAIL PROTECTED]


 I see that fractals also came up in the other current thread.

 I can see the believableness of your conjecture (Turing-completeness
 of the Mandelbrot set), but I see this (if true) as intuitive
 (heuristic, circumstantial) evidence that reality is more than what
 can be computed.  (My belief in the intuition's base outside of
 computation is an example of where I'm coming from.)  There are
 undecidable properties of fractals (iterative function systems, IFS),
 and it has been conjectured that all non-trivial properties of IFS's
 are undecidable.  With the Mandelbrot set it is so geometrically
 complex (the pun here is appropriate since this set involves the
 complex numbers) that it is easy to believe that you could find your
 mother-in-law of even a super-model in there somewhere.  But take
 another fractal like the Koch Snowflake, which also has undecidable
 properties.  Yet is it entirely made of line segments which are at
 only three angles.  I can't believe that reality could be restricted
 to this kind of complexity.

 Have you heard of fractal Turing machines, which incorporate real
 numbers?  Perhaps this is something to be explored in the Everything
 discussion.

 Tom

 On Aug 13, 2:23 am, Bruno Marchal [EMAIL PROTECTED] wrote:
  Hi Tom,
 
 
 
   Nice.  I see beauty in the Mandelbrot set.  However, there seems to be
   a lot of deja vu, similar repetition on a theme.
 
  Right. But full of subtle variations.
  It is all normal to have a lot of deja vu when you make a journey
  across a multiverse ...
 
I have never been
   able to find anything resembling a beautiful girl,
 
  You are not looking close enough, and also, the zoom movie remains a
  pure third person description. Consciousness is more related to a
  internal flux or to some stroboscopic inside views in the Mandelbrot
  Set (assuming the conjecture).
  It is a bit like looking to a picture of a galaxy. You will not see
  beautiful girls, unless you look close enough, and from the right
  perspective.
 
   or even a mother-in-
   law, or a white rabbit.  This seems to go against your conjecture.
 
  (remember also that not seeing something is not an argument of
  not-existence, like seeing something is not an argument for existence).
  If you want to see a white rabbit (*the* white rabbit),  the best
  consists in looking at
 
  http://fr.youtube.com/watch?v=Z5XfQWKgf4Mfeature=related
 
  As for the mother-in-law, I am not sure about your motivations ...
  (Holiday jokes :)
 
  Bruno
 
 
 
 
 
 
 
   Tom
 
   On Aug 12, 8:30 am, Bruno Marchal [EMAIL PROTECTED] wrote:
   On 09 Aug 2008, at 09:44, Tom Caylor wrote:
 
   I believe that nature is not primarily functional. It is primarily
   beautiful.
   And this from a theist?  Yes!  This is actually to the core point of
   why I am a theist.  I don't blame people for not believing in God if
   they think God is about functionality.
 
   If you remember my conjecture that the Mandelbrot Set, (well, its
   complement in the complex plane), is Turing complete (that is
   equivalent in some sense to a universal dovetailing), then zooming in
  
   it gives a picture of the arithmetical multiverse or of the universal
  
   deployment. And I do find most of them wonderfully beautiful. Here is
  
   my favorite on youtube:
 
  http://www.youtube.com/watch?v=G0nmVUU_7IQ
 
   Is that not wonderful? Awesome ?
 
   Bruno
 
  http://iridia.ulb.ac.be/~marchal/http://iridia.ulb.ac.be/%7Emarchal/
 
  http://iridia.ulb.ac.be/~marchal/-http://iridia.ulb.ac.be/%7Emarchal/-Hide
   quoted text -
 
  - Show quoted text -
 


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Re: Intelligence, Aesthetics and Bayesianism: Game over!

2008-08-13 Thread Bruno Marchal


Hi Tom,


 Nice.  I see beauty in the Mandelbrot set.  However, there seems to be
 a lot of deja vu, similar repetition on a theme.


Right. But full of subtle variations.
It is all normal to have a lot of deja vu when you make a journey 
across a multiverse ...



  I have never been
 able to find anything resembling a beautiful girl,

You are not looking close enough, and also, the zoom movie remains a 
pure third person description. Consciousness is more related to a 
internal flux or to some stroboscopic inside views in the Mandelbrot 
Set (assuming the conjecture).
It is a bit like looking to a picture of a galaxy. You will not see 
beautiful girls, unless you look close enough, and from the right 
perspective.



 or even a mother-in-
 law, or a white rabbit.  This seems to go against your conjecture.

(remember also that not seeing something is not an argument of 
not-existence, like seeing something is not an argument for existence).
If you want to see a white rabbit (*the* white rabbit),  the best 
consists in looking at

http://fr.youtube.com/watch?v=Z5XfQWKgf4Mfeature=related

As for the mother-in-law, I am not sure about your motivations ... 
(Holiday jokes :)

Bruno



 Tom

 On Aug 12, 8:30 am, Bruno Marchal [EMAIL PROTECTED] wrote:
 On 09 Aug 2008, at 09:44, Tom Caylor wrote:

 I believe that nature is not primarily functional. It is primarily
 beautiful.
 And this from a theist?  Yes!  This is actually to the core point of
 why I am a theist.  I don't blame people for not believing in God if
 they think God is about functionality.

 If you remember my conjecture that the Mandelbrot Set, (well, its  
 complement in the complex plane), is Turing complete (that is  
 equivalent in some sense to a universal dovetailing), then zooming in 
  
 it gives a picture of the arithmetical multiverse or of the universal 
  
 deployment. And I do find most of them wonderfully beautiful. Here is 
  
 my favorite on youtube:

 http://www.youtube.com/watch?v=G0nmVUU_7IQ

 Is that not wonderful? Awesome ?

 Bruno

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

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


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Re: Intelligence, Aesthetics and Bayesianism: Game over!

2008-08-12 Thread Bruno Marchal


On 09 Aug 2008, at 09:44, Tom Caylor wrote:

 I believe that nature is not primarily functional. It is primarily
 beautiful.
 And this from a theist?  Yes!  This is actually to the core point of
 why I am a theist.  I don't blame people for not believing in God if
 they think God is about functionality.


If you remember my conjecture that the Mandelbrot Set, (well, its  
complement in the complex plane), is Turing complete (that is  
equivalent in some sense to a universal dovetailing), then zooming in  
it gives a picture of the arithmetical multiverse or of the universal  
deployment. And I do find most of them wonderfully beautiful. Here is  
my favorite on youtube:

http://www.youtube.com/watch?v=G0nmVUU_7IQ

Is that not wonderful? Awesome ?

Bruno




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




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Re: Intelligence, Aesthetics and Bayesianism: Game over!

2008-08-12 Thread Russell Standish

On Tue, Aug 12, 2008 at 05:30:24PM +0200, Bruno Marchal wrote:
 
 
 On 09 Aug 2008, at 09:44, Tom Caylor wrote:
 
  I believe that nature is not primarily functional. It is primarily
  beautiful.
  And this from a theist?  Yes!  This is actually to the core point of
  why I am a theist.  I don't blame people for not believing in God if
  they think God is about functionality.
 
 
 If you remember my conjecture that the Mandelbrot Set, (well, its  
 complement in the complex plane), is Turing complete (that is  
 equivalent in some sense to a universal dovetailing), then zooming in  
 it gives a picture of the arithmetical multiverse or of the universal  
 deployment.

This seems related to Langton's edge of chaos idea. Sounds plausible.

 And I do find most of them wonderfully beautiful. Here is  
 my favorite on youtube:
 
 http://www.youtube.com/watch?v=G0nmVUU_7IQ
 
 Is that not wonderful? Awesome ?
 
 Bruno
 

Fantastic. I used the Mandelbrot set as a example for my high
performance computing students. Most of them wouldn't be up to doing
the zooming thing though, but it would be a great example if they did.

-- 


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


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Re: Intelligence, Aesthetics and Bayesianism: Game over!

2008-08-12 Thread Tom Caylor

Nice.  I see beauty in the Mandelbrot set.  However, there seems to be
a lot of deja vu, similar repetition on a theme.  I have never been
able to find anything resembling a beautiful girl, or even a mother-in-
law, or a white rabbit.  This seems to go against your conjecture.

Tom

On Aug 12, 8:30 am, Bruno Marchal [EMAIL PROTECTED] wrote:
 On 09 Aug 2008, at 09:44, Tom Caylor wrote:

  I believe that nature is not primarily functional. It is primarily
  beautiful.
  And this from a theist?  Yes!  This is actually to the core point of
  why I am a theist.  I don't blame people for not believing in God if
  they think God is about functionality.

 If you remember my conjecture that the Mandelbrot Set, (well, its  
 complement in the complex plane), is Turing complete (that is  
 equivalent in some sense to a universal dovetailing), then zooming in  
 it gives a picture of the arithmetical multiverse or of the universal  
 deployment. And I do find most of them wonderfully beautiful. Here is  
 my favorite on youtube:

 http://www.youtube.com/watch?v=G0nmVUU_7IQ

 Is that not wonderful? Awesome ?

 Bruno

 http://iridia.ulb.ac.be/~marchal/
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Re: Intelligence, Aesthetics and Bayesianism: Game over!

2008-08-12 Thread Russell Standish

The repetition is the self-similarity, in essence the fractal nature
of the beast. Yet I believe there are points on the Mandelbrot
boundary that require an infinite calculation to determine if they're
in or out (believe because I haven't studied the maths - presumably it
has been proven one way or other). Bruno's conjecture IIUC is that
within the Mandelbrot boundary can be found points corresponding to
all possible calculations.

Cheers

On Tue, Aug 12, 2008 at 09:17:09PM -0700, Tom Caylor wrote:
 
 Nice.  I see beauty in the Mandelbrot set.  However, there seems to be
 a lot of deja vu, similar repetition on a theme.  I have never been
 able to find anything resembling a beautiful girl, or even a mother-in-
 law, or a white rabbit.  This seems to go against your conjecture.
 
 Tom
 
 On Aug 12, 8:30 am, Bruno Marchal [EMAIL PROTECTED] wrote:
  On 09 Aug 2008, at 09:44, Tom Caylor wrote:
 
   I believe that nature is not primarily functional. It is primarily
   beautiful.
   And this from a theist?  Yes!  This is actually to the core point of
   why I am a theist.  I don't blame people for not believing in God if
   they think God is about functionality.
 
  If you remember my conjecture that the Mandelbrot Set, (well, its  
  complement in the complex plane), is Turing complete (that is  
  equivalent in some sense to a universal dovetailing), then zooming in  
  it gives a picture of the arithmetical multiverse or of the universal  
  deployment. And I do find most of them wonderfully beautiful. Here is  
  my favorite on youtube:
 
  http://www.youtube.com/watch?v=G0nmVUU_7IQ
 
  Is that not wonderful? Awesome ?
 
  Bruno
 
  http://iridia.ulb.ac.be/~marchal/
 
-- 


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


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Re: Intelligence, Aesthetics and Bayesianism: Game over!

2008-08-11 Thread Tom Caylor

On Aug 10, 7:38 am, John Mikes [EMAIL PROTECTED] wrote:
 Tom, please see after your quoted text.
 John M

 On Sat, Aug 9, 2008 at 3:44 AM, Tom Caylor [EMAIL PROTECTED] wrote:

  I believe that nature is not primarily functional. It is primarily
  beautiful.
  And this from a theist?  Yes!  This is actually to the core point of
  why I am a theist.  I don't blame people for not believing in God if
  they think God is about functionality.

  Tom
  -

 JM:
 And how, pray, would you sense (acknowledge?) beauty without
 function(ality)?
 *

This question is asking, in terms of functionality, using the
functionality word how, how would I sense/acknowledge
(functionally) a hypothetically fundamental/primary thing (like
beauty).  I agree that any answer to this would be nonsensical.  (I
think this is why quantum mechanics is nonsensical.)  But this does
not imply that beauty is not primary.  (And by the way I am not saying
that there is no relationship between beauty and functionality.)

 You have all the right to be a theist and formulate your 'theos' anyway you
 wish for yourself. IMO people 'not believeing in God'  do not think that
 this nonexisting concept is about anything. It IS not.
 Just trying to read you within my logic. (Common sense that is).
 Greetings
  John M

Let me rephrase my statement for two different hypothetical cases:

1. If God does not exist, this does not imply that concepts of God do
not exist, but that they are just incorrect (all of them in this
case).  So when I say, I don't blame people for not believing in God
if they think God is about functionality, the words they think in
this case would refer to a concept of God that they have, and what I
meant in this case was that I don't blame them for not giving a mental
assent to those concepts of God.

2. If God does exist, but someone's concept of God is different from
the actual God, then similarly I don't blame them for not giving a
mental assent to those wrong concepts of God.  If God does exist, then
God is more than a concept.  So in that case, in fact believing in God
would amount to something far more and far different from a mental
assent to a concept of God.

You can substitute for the word God, in all of the above, the words
the knowable fundamental Truth/Essence of Everything and it will
also apply.

So what I was getting at is this.  I think that a concept of God (or
the knowable fundamental Truth/Essence of Everything) that is based
fundamentally on functionality is indeed a very unappealing (should I
dare say un-beautiful?) concept of God (or the knowable fundamental
Truth/Essence of Everything).  In fact, it seems to fly in the face of
Occam's Razor.  Functionality is a very complex thing.  Occam's Razor
is about the fact that beauty/elegance/simplicity seems to be at the
core of the truth about things.

Tom

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Re: Intelligence, Aesthetics and Bayesianism: Game over!

2008-08-11 Thread Tom Caylor

Just to be clear, I was not equating God and the knowable
fundamental Truth/Essence of Everything.  I was just noting that my
statements work with either one.

On Aug 10, 11:51 pm, Tom Caylor [EMAIL PROTECTED] wrote:
 On Aug 10, 7:38 am, John Mikes [EMAIL PROTECTED] wrote:





  Tom, please see after your quoted text.
  John M

  On Sat, Aug 9, 2008 at 3:44 AM, Tom Caylor [EMAIL PROTECTED] wrote:

   I believe that nature is not primarily functional. It is primarily
   beautiful.
   And this from a theist?  Yes!  This is actually to the core point of
   why I am a theist.  I don't blame people for not believing in God if
   they think God is about functionality.

   Tom
   -

  JM:
  And how, pray, would you sense (acknowledge?) beauty without
  function(ality)?
  *

 This question is asking, in terms of functionality, using the
 functionality word how, how would I sense/acknowledge
 (functionally) a hypothetically fundamental/primary thing (like
 beauty).  I agree that any answer to this would be nonsensical.  (I
 think this is why quantum mechanics is nonsensical.)  But this does
 not imply that beauty is not primary.  (And by the way I am not saying
 that there is no relationship between beauty and functionality.)

  You have all the right to be a theist and formulate your 'theos' anyway you
  wish for yourself. IMO people 'not believeing in God'  do not think that
  this nonexisting concept is about anything. It IS not.
  Just trying to read you within my logic. (Common sense that is).
  Greetings
   John M

 Let me rephrase my statement for two different hypothetical cases:

 1. If God does not exist, this does not imply that concepts of God do
 not exist, but that they are just incorrect (all of them in this
 case).  So when I say, I don't blame people for not believing in God
 if they think God is about functionality, the words they think in
 this case would refer to a concept of God that they have, and what I
 meant in this case was that I don't blame them for not giving a mental
 assent to those concepts of God.

 2. If God does exist, but someone's concept of God is different from
 the actual God, then similarly I don't blame them for not giving a
 mental assent to those wrong concepts of God.  If God does exist, then
 God is more than a concept.  So in that case, in fact believing in God
 would amount to something far more and far different from a mental
 assent to a concept of God.

 You can substitute for the word God, in all of the above, the words
 the knowable fundamental Truth/Essence of Everything and it will
 also apply.

 So what I was getting at is this.  I think that a concept of God (or
 the knowable fundamental Truth/Essence of Everything) that is based
 fundamentally on functionality is indeed a very unappealing (should I
 dare say un-beautiful?) concept of God (or the knowable fundamental
 Truth/Essence of Everything).  In fact, it seems to fly in the face of
 Occam's Razor.  Functionality is a very complex thing.  Occam's Razor
 is about the fact that beauty/elegance/simplicity seems to be at the
 core of the truth about things.

 Tom- Hide quoted text -

 - Show quoted text -
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Re: Intelligence, Aesthetics and Bayesianism: Game over!

2008-08-11 Thread John Mikes
Tom, (no further reply from here into your turf)
I usually keep away from discussing (GOD-) religious domains - now I am 'in'
and want to redirect my previous post.

Please: put GOD into the first part of my post, instead of BEAUTY
- then think it over again with your similarly changed reply.
BTW: I am not an atheist: an atheist requires for a denial (at least your
'concept' of) 'a' God what I do not find reasonable for/in my thinking.
So I cannot deny it. I follow MY reason in MY common sense.  -

Occam: I know some on this list will disagree, but in my view (totality view
unlimitedly interrelated and intereffective) is beyond the capability of our
present mental capacity. So human thinking/logic cuts domains upon topic,
function, into boundaries of exercised interest and observation, what I call
'reductionistic ways (cf: conventional scinences etc.) to make it simpler. I
call such limited domains models (Robert Rosen). These are still too
complex for easy handling, so Occam limited them even the further, cutting
off the connotations not essential for the actual view. Accordingly (I
consider) Occam's razor-cut as an increase in the reductionist view of the
models. The new way of thinking I *seek* goes the opposite way. BTW the
effects reaching an item in a model are NOT restricted to the
model-boundaries which causes problems in the  model-based  sciences.
JM



On Mon, Aug 11, 2008 at 3:26 AM, Tom Caylor [EMAIL PROTECTED] wrote:


 Just to be clear, I was not equating God and the knowable
 fundamental Truth/Essence of Everything.  I was just noting that my
 statements work with either one.

 On Aug 10, 11:51 pm, Tom Caylor [EMAIL PROTECTED] wrote:
  On Aug 10, 7:38 am, John Mikes [EMAIL PROTECTED] wrote:
 
 
 
 
 
   Tom, please see after your quoted text.
   John M
 
   On Sat, Aug 9, 2008 at 3:44 AM, Tom Caylor [EMAIL PROTECTED]
 wrote:
 
I believe that nature is not primarily functional. It is primarily
beautiful.
And this from a theist?  Yes!  This is actually to the core point of
why I am a theist.  I don't blame people for not believing in God if
they think God is about functionality.
 
Tom
-
 
   JM:
   And how, pray, would you sense (acknowledge?) beauty without
   function(ality)?
   *
 
  This question is asking, in terms of functionality, using the
  functionality word how, how would I sense/acknowledge
  (functionally) a hypothetically fundamental/primary thing (like
  beauty).  I agree that any answer to this would be nonsensical.  (I
  think this is why quantum mechanics is nonsensical.)  But this does
  not imply that beauty is not primary.  (And by the way I am not saying
  that there is no relationship between beauty and functionality.)
 
   You have all the right to be a theist and formulate your 'theos' anyway
 you
   wish for yourself. IMO people 'not believeing in God'  do not think
 that
   this nonexisting concept is about anything. It IS not.
   Just trying to read you within my logic. (Common sense that is).
   Greetings
John M
 
  Let me rephrase my statement for two different hypothetical cases:
 
  1. If God does not exist, this does not imply that concepts of God do
  not exist, but that they are just incorrect (all of them in this
  case).  So when I say, I don't blame people for not believing in God
  if they think God is about functionality, the words they think in
  this case would refer to a concept of God that they have, and what I
  meant in this case was that I don't blame them for not giving a mental
  assent to those concepts of God.
 
  2. If God does exist, but someone's concept of God is different from
  the actual God, then similarly I don't blame them for not giving a
  mental assent to those wrong concepts of God.  If God does exist, then
  God is more than a concept.  So in that case, in fact believing in God
  would amount to something far more and far different from a mental
  assent to a concept of God.
 
  You can substitute for the word God, in all of the above, the words
  the knowable fundamental Truth/Essence of Everything and it will
  also apply.
 
  So what I was getting at is this.  I think that a concept of God (or
  the knowable fundamental Truth/Essence of Everything) that is based
  fundamentally on functionality is indeed a very unappealing (should I
  dare say un-beautiful?) concept of God (or the knowable fundamental
  Truth/Essence of Everything).  In fact, it seems to fly in the face of
  Occam's Razor.  Functionality is a very complex thing.  Occam's Razor
  is about the fact that beauty/elegance/simplicity seems to be at the
  core of the truth about things.
 
  Tom- Hide quoted text -
 
  - Show quoted text -
 


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Re: Intelligence, Aesthetics and Bayesianism: Game over!

2008-08-11 Thread Tom Caylor

See below.

On Aug 11, 7:48 am, John Mikes [EMAIL PROTECTED] wrote:
 Tom, (no further reply from here into your turf)
 I usually keep away from discussing (GOD-) religious domains - now I am 'in'
 and want to redirect my previous post.

 Please: put GOD into the first part of my post, instead of BEAUTY
 - then think it over again with your similarly changed reply.
 BTW: I am not an atheist: an atheist requires for a denial (at least your
 'concept' of) 'a' God what I do not find reasonable for/in my thinking.
 So I cannot deny it. I follow MY reason in MY common sense.  -


OK:
And how, pray, would you sense (acknowledge?) GOD without
function(ality)?
*

   This question is asking, in terms of functionality, using the
   functionality word how, how would I sense/acknowledge
   (functionally) a hypothetically fundamental/primary thing (like
   GOD).  I agree that any answer to this would be nonsensical.  (I
   think this is why quantum mechanics is nonsensical.)  But this does
   not imply that beauty is not primary.  (And by the way I am not saying
   that there is no relationship between beauty and functionality.)

Yes.  This is basically, IMO, saying the same thing as before.  Note
that I had put beauty in parantheses as one example of a
hypothetically fundamental/primary thing, but GOD would be another
example, perhaps Hilbert-space, numbers, Fisher information,
plenitude, Tegmarks levels, are other examples.  I should be clear
that just because I acknowledge the nonsensicalness of describing the
function of sensing a fundamental/primary thing directly, I still
maintain that it can be sensed.  Your following statement describes
this situation:

 ...BTW the
 effects reaching an item in a model are NOT restricted to the
 model-boundaries which causes problems in the  model-based  sciences.

i.e. to rephrase my previous sentence, just because we cannot describe
something in terms of a model does not mean that the thing does not
exist and that it does not have a detectable effect on us.

Accordingly (I consider) Occam's razor-cut as an increase in the reductionist 
view of the
 models. The new way of thinking I *seek* goes the opposite way.


Perhaps this is the same thing as the head vs. heart reversal.  The
traditional (reductionist) way of describing the process of truly
understanding/recognizing truth goes like this:  It starts with our
head (being able to reduce something to a controllable manageable
understandable subset or form), but then in order to truly know a
truth (and know that we know), it has to travel the infinitely long
18 inches from our head to our heart.  Since the controllable realm
seems to reside solely within our head, then getting the truth
through this 18 inches seems to be an impossible task.  Perhaps this
is where the various forms of religion come in, helping us to do the
impossible.

In contrast, I agree with you that in reality truth goes the opposite
way, in my words from our heart to our head.  God has set eternity
in our hearts (Ecclesiastes 3:11) and we merely RE--cogn-ize it.
(I might add that the head first approach could be categorized as the
Greek view, and the heart first approach could be categorized as the
Hebrew view.)

Tom

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Re: Intelligence, Aesthetics and Bayesianism: Game over!

2008-08-10 Thread John Mikes
Tom, please see after your quoted text.
John M

On Sat, Aug 9, 2008 at 3:44 AM, Tom Caylor [EMAIL PROTECTED] wrote:


 I believe that nature is not primarily functional. It is primarily
 beautiful.
 And this from a theist?  Yes!  This is actually to the core point of
 why I am a theist.  I don't blame people for not believing in God if
 they think God is about functionality.

 Tom
 -

JM:
And how, pray, would you sense (acknowledge?) beauty without
function(ality)?
*
You have all the right to be a theist and formulate your 'theos' anyway you
wish for yourself. IMO people 'not believeing in God'  do not think that
this nonexisting concept is about anything. It IS not.
Just trying to read you within my logic. (Common sense that is).
Greetings
 John M

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Re: Intelligence, Aesthetics and Bayesianism: Game over!

2008-08-09 Thread Tom Caylor

I believe that nature is not primarily functional. It is primarily
beautiful.
And this from a theist?  Yes!  This is actually to the core point of
why I am a theist.  I don't blame people for not believing in God if
they think God is about functionality.

Tom

On Jul 29, 2:20 am, [EMAIL PROTECTED] wrote:
 Two issues I wish to mention, here.

 Firstly, I present a few rapid-fire ideas about objective morality,
 culminating in an integration of aesthetics, intelligence, and
 morality, all in a few brief sentences ;)

 Secondly, I give a mention to computer scientist Randy Pausch, who
 recently died.

 As regards the first issue:

 It’s been said there are clear ways to determine physical and
 mathematical facts, but nothing similar for values. But, in point (2)
 below I point out what appears to be an objectively existing set of
 values which underlies *all* of science.  I present two brief but
 profound points that I what readers to consider and ponder carefully:

 Point (1) there is a clear evolution to the universe. It started from
 a low-entropy-density state, and is moving towards a higher-entropy
 density, which, remarkably, just happens to coincide with an increase
 in physical complexity with time. In the beginning the universe was in
 a state with *the lowest possible* entropy. This is expressed in the
 laws of thermodynamics and big bang cosmology. So it simply isn’t true
 that there is no teleology (purpose) built into the universe. The laws
 of thermodynamics and modern cosmology (big bang theory) clearly
 express the fact that there is.

 Point (2) the whole of science relies on Occam’s razor, the idea that
 the universe is in some sense ‘simple’. It must be emphasized that
 Occam’s razor pervades all of science – it is not simply some sort of
 ‘add on’. As Popper pointed out, an infinite number of theories could
 explain any given set of observations; therefore any inductive
 generalization requires a principle – Occam’s razor – to get any
 useful results at all.

 Here is the point that most haven’t quite grasped - Occam’s razor is
 *a set of aesthetic principles* - the notion of ‘simplicity’ is *a set
 of aesthetic principles*; Why? Because it is simply another way of
 saying that some representations are more *elegant* than others, which
 is the very notion of aesthetics! I repeat: the whole of science only
 works because of a set of *aesthetic principles* - a *set of values*.

 If all values are only subjective preferences, it would follow that
 the whole of science relies on subjective preferences. But subjective
 preferences have only existed as long as sentiments – therefore how
 could physical laws have functioned before sentiments? The idea that
 all values are subjective leads to a direct and blatant logical
 contradiction.

 Both these points are related and simply inexplicable without
 appealing to objective terminal values. At the beginning of time the
 universe was in the simplest possible state (minimal entropy density).
 Why? Occam’s razor is wide-ranging and pervades the whole of science.
 The simple is favored over the complex – that is– Occam’s razor is a
 set of aesthetic value judgments without which not a single Bayesian
 result could be obtained.

 *Every single Bayesian result rests on these implicit value judgments*
 to set priors. It must be repeated that *not one single scientific
 result could be obtained* without these secret (implicit) value
 judgments which set priors, that our defenders of the Bayesian faith
 on these forums are trying to pretend are not part of science!

 The secret to intelligence is aesthetics, not Bayesian math.
 Initially, this statement seems preposterous, but the argument in the
 next paragraph is my whole point, so it merits careful reading (the
 paragraph is marked with a * to show this is the crux of this post):

 *As regards the optimization of science, the leverage obtained from
 setting the priors (Occam’s razor – aesthetics – art) is far greater
 that that obtained from logical manipulations to update probabilities
 based on additional empirical data (math). Remember, the aesthetic
 principles used to set the priors (Occam’s razor) reduce a potentially
 infinite set of possible theories to a manageable (finite) number,
 whereas laborious mathematical probability updates based on incoming
 empirical data (standard Bayesian theory) is only guaranteed to
 converge on the correct theory after an infinite time, and even then
 the reason for the convergence is entirely inexplicable.

 The * paragraph suggests that aesthetics is the real basis of
 intelligence, not Bayesian math, and further that aesthetic terminal
 values are objectively real.

 For those who do initially find these claims preposterous, to help
 overcome your initial disbelief, I point to a superb essay from well-
 respected computer hacker, Paul Graham, who explains why aesthetics
 plays a far greater role in science than many have realized:

 ‘Taste for 

Re: Intelligence, Aesthetics and Bayesianism: Game over!

2008-08-04 Thread Bruno Marchal


Le 30-juil.-08, à 15:26, Stathis Papaioannou wrote :

 Yes, I was partially agreeing with you. Psychotic people often still
 manage very well with deductive reasoning, but they get the big
 picture wrong, obviously and ridiculously wrong. So there must be more
 to discovering truth about the world than mere algorithmic shuffling.


Deduction and computation are different thing.
Computability is closed for diagonalization, and this makes it  
possible to
have an universal notion of computability (Church thesis)
Deductibility is not closed for diagonalization, this makes  
deductibility notions
never universal and always incomplete.
It is a theorem of computer science that machine learning and  
discovering truth
is beyond deductibility, but not necessarily beyond computability, and  
still less
beyond computability viewed from the first person point of view.


Also, assuming comp, the first person associated to the machine, cannot
see itself as a machine at all (cf the unawareness of the  
reconstitution delay in
the UDA and its consequences), making any self-aware machine directly
connected to non computable entities having indeed the shape, in a  
first approximation,
of many (2^aleph_0) interfering realities.
I recall that with the mechanist assumption there are too much non  
computational
entities a priori observable: the white rabbits.

I agree with Mark about aesthetics. Platonist have Beauty in high  
considerations.
But given that machine already cannot define truth, it would be weird  
that we can analyse beauty
in term of procedure. On the contrary we have all reasons to believe  
that the mechanist
hypothesis prevent any complete analysis of higher order notion like  
beauty
definable. As I said often the comp or mechanist assumption is, after  
Godel, a vaccine
against reductionism. Even the truth about only the numbers can no  
more be capture
completely in term of numbers.

Also, John says:

   Could Bruno imagine to define it [beauty] in numbers? (excuse me  
 please the humor).

I cannot. But I can explain why there exists a lot of things
that a machine cannot explain in term of numbers. All this without  
postulating more
than numbers (together with addition and multiplication) at the ontic  
level.
Just remember that having only numbers at the ontic level forces the  
inside
epistemological view to escape the numbers.
If not you are collapsing first and third person view, like reducing a  
human
person to her body.

Bruno

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




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Re: Intelligence, Aesthetics and Bayesianism: Game over!

2008-07-31 Thread marc . geddes


On Jul 31, 1:26 am, Stathis Papaioannou [EMAIL PROTECTED] wrote:



  Popper showed that an infinite number of theories is compatible is any
  given set of finite observations.  Mere algorithmic shuffling to
  calculate Pr(B) probablities according to the Bayes formula won't help
  much. Successful induction needs principles to set the priors are set
  correctly.

 Yes, I was partially agreeing with you. Psychotic people often still
 manage very well with deductive reasoning, but they get the big
 picture wrong, obviously and ridiculously wrong. So there must be more
 to discovering truth about the world than mere algorithmic shuffling.

 --
 Stathis Papaioannou- Hide quoted text -


Ah.  Good.  Glad to hear you agree.  Incidentally, there was a feature
in the last edition of 'New Scientist' in the 'Opinion' section, about
what's wrong with 'excessive rationality':

http://www.newscientist.com/contents/issue/2666.html


The idea is that good mathematics is beautiful. Good music and paintings
often have a deep mathematical structure.

No reason to throw away the math.


Cheers,
Günther


True Gunther, but working out math ain't my job, and I don't need it
to built an AI any way.  AI's an engineering problem, not a science
problem.  I'm not terribly concerned about *what is* (science),
I'm a lot more interested in *what could be* (creative hacking).

There's far too many geeks on Internet messageboards and blogs
babbling away about abstract theories of *what is* (science).  This
detracts from the business of actually working on *what could be*
(creative hacking)

The *what is* of pure math, has a practical counterpart - the *what
could be* of ontology and computer programming ;)  We don't need to
understand the pure math to do the ontology and programming ;)  Just
good design principles.


Cheers
MJG
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Re: Intelligence, Aesthetics and Bayesianism: Game over!

2008-07-31 Thread John Mikes
Arsthetics?

do we have a definition that satisfies *general* considerations? I doubt,
because I cannot find one that applies to different ethnic, cultural (- even
within one), at different times even if considered only in HUMAN beings. the
'scientific' terms are applying to (dis?)liking and beauty, which is in the
eye of the (actual) beholder.
Could Bruno imagine to define it in numbers? (excuse me please the humor).
The closest I can think of is a lack of disturbing (imbalanced? stressful?)
effects - a negative.
Contemporaries often do not find contemporary art asthetic because it
expresses in its (art-) language the troubles of the age-frame. Once another
era enters, the 'unaesthetic' artwork is deemed aesthetic. (cf Beethoven's
nusic, abstract painting, lots of lit etc.).
as I explained earlier on this list and others, I am on 'common sense'
basis

John M


On Wed, Jul 30, 2008 at 9:26 AM, Stathis Papaioannou [EMAIL PROTECTED]wrote:


 2008/7/30  [EMAIL PROTECTED]:

  I've long been puzzled by the phenomenon of delusion in intelligent,
  rational people who develop psychotic illness. For example, out of the
  blue, someone starts to believe that their family have been replaced
  by impostors. Their facility with deductive logic remains intact, and
  it is tempting to try to argue with them to show that their belief is
  false, but it doesn't work. The Bayes equation is:
 
  Pr(A|B) = Pr(B|A).Pr(A)/Pr(B)
  A = they are impostors
  B = they're acting weird
 
  The problem is that they overestimate Pr(A), the prior probability,
  and underestimate Pr(B). A very dull, but sane, person can see this,
  but they can't. Intelligence doesn't seem to help at all.
 
  --
  Stathis Papaioannou-
 
  Um. I'm not totally sure what relevance this has to what I posted.
 
  Popper showed that an infinite number of theories is compatible is any
  given set of finite observations.  Mere algorithmic shuffling to
  calculate Pr(B) probablities according to the Bayes formula won't help
  much. Successful induction needs principles to set the priors are set
  correctly.

 Yes, I was partially agreeing with you. Psychotic people often still
 manage very well with deductive reasoning, but they get the big
 picture wrong, obviously and ridiculously wrong. So there must be more
 to discovering truth about the world than mere algorithmic shuffling.



 --
 Stathis Papaioannou

 


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Re: Intelligence, Aesthetics and Bayesianism: Game over!

2008-07-30 Thread marc . geddes



On Jul 30, 1:22 am, Stathis Papaioannou [EMAIL PROTECTED] wrote:


 I've long been puzzled by the phenomenon of delusion in intelligent,
 rational people who develop psychotic illness. For example, out of the
 blue, someone starts to believe that their family have been replaced
 by impostors. Their facility with deductive logic remains intact, and
 it is tempting to try to argue with them to show that their belief is
 false, but it doesn't work. The Bayes equation is:

 Pr(A|B) = Pr(B|A).Pr(A)/Pr(B)
 A = they are impostors
 B = they're acting weird

 The problem is that they overestimate Pr(A), the prior probability,
 and underestimate Pr(B). A very dull, but sane, person can see this,
 but they can't. Intelligence doesn't seem to help at all.

 --
 Stathis Papaioannou-

Um. I'm not totally sure what relevance this has to what I posted.

Popper showed that an infinite number of theories is compatible is any
given set of finite observations.  Mere algorithmic shuffling to
calculate Pr(B) probablities according to the Bayes formula won't help
much. Successful induction needs principles to set the priors are set
correctly.

Which is largely based on aesthetic judgements.  Read the Graham
essay:
http://www.paulgraham.com/taste.html

You'll get it some day - unfortunately, I suspect, the mererely
Bayesian probablity shuffling you're using to update your beliefs may
take an inifinite time to converge to my beliefs ;)

Cheers
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Re: Intelligence, Aesthetics and Bayesianism: Game over!

2008-07-30 Thread marc . geddes

But what is aesthetics the study of? Of beauty? That's it isn't it?
But how can something as plastic as beauty have any kind of
terminal
value that you and I can both share?  Do aesthetic terminal values
decide where something fits into aesthetic reality or something
like
that? By the way, thanks for showing that artistic intelligence
may
actually represent a form of scientific understanding, a thought
dear
to my heart.

Kim Jones
--

Marc,
I would agree with you that aesthetics is an important driving
principle, and the top scientist _do_ recognize this (see for
instance
many quotes by Albert Einstein in this direction).
Also, you should have a look at Nietzsche - science and the aesthetic
pervade his work!
Cheers,
Günther

Yes, good Kim and Gunther- I’m now adopting the radical belief that
intelligence has a lot more to do with art, than math ;)

Good initial link on aesthetics:
http://en.wikipedia.org/wiki/Aesthetics

So throw away all those math books , forget about Bayes, and start
studying the arts: painting, music and so on and so forth.

We’ll finally solve the AI stuff…with art.


On Jul 30, 2:34 am, Günther Greindl [EMAIL PROTECTED]
wrote:
 Marc,

 I would agree with you that aesthetics is an important driving
 principle, and the top scientist _do_ recognize this (see for instance
 many quotes by Albert Einstein in this direction).

 Also, you should have a look at Nietzsche - science and the aesthetic
 pervade his work!

 Cheers,
 Günther





 [EMAIL PROTECTED] wrote:
  Two issues I wish to mention, here.

  Firstly, I present a few rapid-fire ideas about objective morality,
  culminating in an integration of aesthetics, intelligence, and
  morality, all in a few brief sentences ;)

  Secondly, I give a mention to computer scientist Randy Pausch, who
  recently died.

  As regards the first issue:

  It’s been said there are clear ways to determine physical and
  mathematical facts, but nothing similar for values. But, in point (2)
  below I point out what appears to be an objectively existing set of
  values which underlies *all* of science.  I present two brief but
  profound points that I what readers to consider and ponder carefully:

  Point (1) there is a clear evolution to the universe. It started from
  a low-entropy-density state, and is moving towards a higher-entropy
  density, which, remarkably, just happens to coincide with an increase
  in physical complexity with time. In the beginning the universe was in
  a state with *the lowest possible* entropy. This is expressed in the
  laws of thermodynamics and big bang cosmology. So it simply isn’t true
  that there is no teleology (purpose) built into the universe. The laws
  of thermodynamics and modern cosmology (big bang theory) clearly
  express the fact that there is.

  Point (2) the whole of science relies on Occam’s razor, the idea that
  the universe is in some sense ‘simple’. It must be emphasized that
  Occam’s razor pervades all of science – it is not simply some sort of
  ‘add on’. As Popper pointed out, an infinite number of theories could
  explain any given set of observations; therefore any inductive
  generalization requires a principle – Occam’s razor – to get any
  useful results at all.

  Here is the point that most haven’t quite grasped - Occam’s razor is
  *a set of aesthetic principles* - the notion of ‘simplicity’ is *a set
  of aesthetic principles*; Why? Because it is simply another way of
  saying that some representations are more *elegant* than others, which
  is the very notion of aesthetics! I repeat: the whole of science only
  works because of a set of *aesthetic principles* - a *set of values*.

  If all values are only subjective preferences, it would follow that
  the whole of science relies on subjective preferences. But subjective
  preferences have only existed as long as sentiments – therefore how
  could physical laws have functioned before sentiments? The idea that
  all values are subjective leads to a direct and blatant logical
  contradiction.

  Both these points are related and simply inexplicable without
  appealing to objective terminal values. At the beginning of time the
  universe was in the simplest possible state (minimal entropy density).
  Why? Occam’s razor is wide-ranging and pervades the whole of science.
  The simple is favored over the complex – that is– Occam’s razor is a
  set of aesthetic value judgments without which not a single Bayesian
  result could be obtained.

  *Every single Bayesian result rests on these implicit value judgments*
  to set priors. It must be repeated that *not one single scientific
  result could be obtained* without these secret (implicit) value
  judgments which set priors, that our defenders of the Bayesian faith
  on these forums are trying to pretend are not part of science!

  The secret to intelligence is aesthetics, not Bayesian math.
  Initially, this statement seems preposterous, but the argument in the
  next paragraph is my whole 

Re: Intelligence, Aesthetics and Bayesianism: Game over!

2008-07-30 Thread Stathis Papaioannou

2008/7/30  [EMAIL PROTECTED]:

 I've long been puzzled by the phenomenon of delusion in intelligent,
 rational people who develop psychotic illness. For example, out of the
 blue, someone starts to believe that their family have been replaced
 by impostors. Their facility with deductive logic remains intact, and
 it is tempting to try to argue with them to show that their belief is
 false, but it doesn't work. The Bayes equation is:

 Pr(A|B) = Pr(B|A).Pr(A)/Pr(B)
 A = they are impostors
 B = they're acting weird

 The problem is that they overestimate Pr(A), the prior probability,
 and underestimate Pr(B). A very dull, but sane, person can see this,
 but they can't. Intelligence doesn't seem to help at all.

 --
 Stathis Papaioannou-

 Um. I'm not totally sure what relevance this has to what I posted.

 Popper showed that an infinite number of theories is compatible is any
 given set of finite observations.  Mere algorithmic shuffling to
 calculate Pr(B) probablities according to the Bayes formula won't help
 much. Successful induction needs principles to set the priors are set
 correctly.

Yes, I was partially agreeing with you. Psychotic people often still
manage very well with deductive reasoning, but they get the big
picture wrong, obviously and ridiculously wrong. So there must be more
to discovering truth about the world than mere algorithmic shuffling.



-- 
Stathis Papaioannou

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Re: Intelligence, Aesthetics and Bayesianism: Game over!

2008-07-30 Thread Günther Greindl

Marc,

 Yes, good Kim and Gunther- I’m now adopting the radical belief that
 intelligence has a lot more to do with art, than math ;)
 
snip


 So throw away all those math books , forget about Bayes, and start
 studying the arts: painting, music and so on and so forth.

The idea is that good mathematics is beautiful. Good music and paintings 
often have a deep mathematical structure.

No reason to throw away the math.

Cheers,
Günther


-- 
Günther Greindl
Department of Philosophy of Science
University of Vienna
[EMAIL PROTECTED]

Blog: http://www.complexitystudies.org/
Thesis: http://www.complexitystudies.org/proposal/


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Re: Intelligence, Aesthetics and Bayesianism: Game over!

2008-07-29 Thread Kim Jones

But what is aesthetics the study of? Of beauty? That's it isn't it?  
But how can something as plastic as beauty have any kind of terminal  
value that you and I can both share?  Do aesthetic terminal values  
decide where something fits into aesthetic reality or something like  
that? By the way, thanks for showing that artistic intelligence may  
actually represent a form of scientific understanding, a thought dear  
to my heart.

Kim Jones





On 29/07/2008, at 7:20 PM, [EMAIL PROTECTED] wrote:

 aesthetics is the real basis of
 intelligence, not Bayesian math, and further that aesthetic terminal
 values are objectively real.

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Re: Intelligence, Aesthetics and Bayesianism: Game over!

2008-07-29 Thread Stathis Papaioannou
2008/7/29  [EMAIL PROTECTED]:

 Point (1) there is a clear evolution to the universe. It started from
 a low-entropy-density state, and is moving towards a higher-entropy
 density, which, remarkably, just happens to coincide with an increase
 in physical complexity with time. In the beginning the universe was in
 a state with *the lowest possible* entropy. This is expressed in the
 laws of thermodynamics and big bang cosmology. So it simply isn't true
 that there is no teleology (purpose) built into the universe. The laws
 of thermodynamics and modern cosmology (big bang theory) clearly
 express the fact that there is.

You'll have to explain what you mean by teleogy/purpose. If you claim
that rocks roll downhill because it is their purpose to do so, that's
not using the term in a conventional way.

 Here is the point that most haven't quite grasped - Occam's razor is
 *a set of aesthetic principles* - the notion of 'simplicity' is *a set
 of aesthetic principles*; Why? Because it is simply another way of
 saying that some representations are more *elegant* than others, which
 is the very notion of aesthetics! I repeat: the whole of science only
 works because of a set of *aesthetic principles* - a *set of values*.

 If all values are only subjective preferences, it would follow that
 the whole of science relies on subjective preferences. But subjective
 preferences have only existed as long as sentiments – therefore how
 could physical laws have functioned before sentiments? The idea that
 all values are subjective leads to a direct and blatant logical
 contradiction.

Not necessarily. It may be that some mindless, valueless objective
quality coincidentally produces aesthetic feelings. For example, we
may find the human form beautiful, and some human forms more beautiful
than others. But that doesn't mean that there is some absolute,
objective sense in which humans are beautiful; it's just that our
minds have evolved to think this way. Similarly, if we find that some
other aspect of physical reality corresponds with what we recognise as
an aesthetic principle, this is just a contingent fact about the way
our minds work. There are plenty of things in nature which are
complicated and ugly, and they don't try to reform themselves on our
account.

 Both these points are related and simply inexplicable without
 appealing to objective terminal values. At the beginning of time the
 universe was in the simplest possible state (minimal entropy density).
 Why? Occam's razor is wide-ranging and pervades the whole of science.
 The simple is favored over the complex – that is– Occam's razor is a
 set of aesthetic value judgments without which not a single Bayesian
 result could be obtained.

 *Every single Bayesian result rests on these implicit value judgments*
 to set priors. It must be repeated that *not one single scientific
 result could be obtained* without these secret (implicit) value
 judgments which set priors, that our defenders of the Bayesian faith
 on these forums are trying to pretend are not part of science!

 The secret to intelligence is aesthetics, not Bayesian math.
 Initially, this statement seems preposterous, but the argument in the
 next paragraph is my whole point, so it merits careful reading (the
 paragraph is marked with a * to show this is the crux of this post):

 *As regards the optimization of science, the leverage obtained from
 setting the priors (Occam's razor – aesthetics – art) is far greater
 that that obtained from logical manipulations to update probabilities
 based on additional empirical data (math). Remember, the aesthetic
 principles used to set the priors (Occam's razor) reduce a potentially
 infinite set of possible theories to a manageable (finite) number,
 whereas laborious mathematical probability updates based on incoming
 empirical data (standard Bayesian theory) is only guaranteed to
 converge on the correct theory after an infinite time, and even then
 the reason for the convergence is entirely inexplicable.

 The * paragraph suggests that aesthetics is the real basis of
 intelligence, not Bayesian math, and further that aesthetic terminal
 values are objectively real.

I've long been puzzled by the phenomenon of delusion in intelligent,
rational people who develop psychotic illness. For example, out of the
blue, someone starts to believe that their family have been replaced
by impostors. Their facility with deductive logic remains intact, and
it is tempting to try to argue with them to show that their belief is
false, but it doesn't work. The Bayes equation is:

Pr(A|B) = Pr(B|A).Pr(A)/Pr(B)
A = they are impostors
B = they're acting weird

The problem is that they overestimate Pr(A), the prior probability,
and underestimate Pr(B). A very dull, but sane, person can see this,
but they can't. Intelligence doesn't seem to help at all.




-- 
Stathis Papaioannou

--~--~-~--~~~---~--~~
You received this message because you are subscribed 

Re: Intelligence, Aesthetics and Bayesianism: Game over!

2008-07-29 Thread Günther Greindl

Marc,

I would agree with you that aesthetics is an important driving 
principle, and the top scientist _do_ recognize this (see for instance
many quotes by Albert Einstein in this direction).

Also, you should have a look at Nietzsche - science and the aesthetic 
pervade his work!

Cheers,
Günther

[EMAIL PROTECTED] wrote:
 Two issues I wish to mention, here.
 
 Firstly, I present a few rapid-fire ideas about objective morality,
 culminating in an integration of aesthetics, intelligence, and
 morality, all in a few brief sentences ;)
 
 Secondly, I give a mention to computer scientist Randy Pausch, who
 recently died.
 
 As regards the first issue:
 
 It’s been said there are clear ways to determine physical and
 mathematical facts, but nothing similar for values. But, in point (2)
 below I point out what appears to be an objectively existing set of
 values which underlies *all* of science.  I present two brief but
 profound points that I what readers to consider and ponder carefully:
 
 Point (1) there is a clear evolution to the universe. It started from
 a low-entropy-density state, and is moving towards a higher-entropy
 density, which, remarkably, just happens to coincide with an increase
 in physical complexity with time. In the beginning the universe was in
 a state with *the lowest possible* entropy. This is expressed in the
 laws of thermodynamics and big bang cosmology. So it simply isn’t true
 that there is no teleology (purpose) built into the universe. The laws
 of thermodynamics and modern cosmology (big bang theory) clearly
 express the fact that there is.
 
 Point (2) the whole of science relies on Occam’s razor, the idea that
 the universe is in some sense ‘simple’. It must be emphasized that
 Occam’s razor pervades all of science – it is not simply some sort of
 ‘add on’. As Popper pointed out, an infinite number of theories could
 explain any given set of observations; therefore any inductive
 generalization requires a principle – Occam’s razor – to get any
 useful results at all.
 
 Here is the point that most haven’t quite grasped - Occam’s razor is
 *a set of aesthetic principles* - the notion of ‘simplicity’ is *a set
 of aesthetic principles*; Why? Because it is simply another way of
 saying that some representations are more *elegant* than others, which
 is the very notion of aesthetics! I repeat: the whole of science only
 works because of a set of *aesthetic principles* - a *set of values*.
 
 If all values are only subjective preferences, it would follow that
 the whole of science relies on subjective preferences. But subjective
 preferences have only existed as long as sentiments – therefore how
 could physical laws have functioned before sentiments? The idea that
 all values are subjective leads to a direct and blatant logical
 contradiction.
 
 Both these points are related and simply inexplicable without
 appealing to objective terminal values. At the beginning of time the
 universe was in the simplest possible state (minimal entropy density).
 Why? Occam’s razor is wide-ranging and pervades the whole of science.
 The simple is favored over the complex – that is– Occam’s razor is a
 set of aesthetic value judgments without which not a single Bayesian
 result could be obtained.
 
 *Every single Bayesian result rests on these implicit value judgments*
 to set priors. It must be repeated that *not one single scientific
 result could be obtained* without these secret (implicit) value
 judgments which set priors, that our defenders of the Bayesian faith
 on these forums are trying to pretend are not part of science!
 
 The secret to intelligence is aesthetics, not Bayesian math.
 Initially, this statement seems preposterous, but the argument in the
 next paragraph is my whole point, so it merits careful reading (the
 paragraph is marked with a * to show this is the crux of this post):
 
 *As regards the optimization of science, the leverage obtained from
 setting the priors (Occam’s razor – aesthetics – art) is far greater
 that that obtained from logical manipulations to update probabilities
 based on additional empirical data (math). Remember, the aesthetic
 principles used to set the priors (Occam’s razor) reduce a potentially
 infinite set of possible theories to a manageable (finite) number,
 whereas laborious mathematical probability updates based on incoming
 empirical data (standard Bayesian theory) is only guaranteed to
 converge on the correct theory after an infinite time, and even then
 the reason for the convergence is entirely inexplicable.
 
 The * paragraph suggests that aesthetics is the real basis of
 intelligence, not Bayesian math, and further that aesthetic terminal
 values are objectively real.
 
 For those who do initially find these claims preposterous, to help
 overcome your initial disbelief, I point to a superb essay from well-
 respected computer hacker, Paul Graham, who explains why aesthetics
 plays a far greater role in science than many have 

Re: Intelligence, Aesthetics and Bayesianism: Game over!

2008-07-29 Thread John Mikes
Marc,
your (long) post gave me a feeling of having returned into my childhood.
Back to the reductionist figments of the model view 'physical world' and
'conventional sciences'.
I should interjet a lot into your long text, in view of a 'totality-view'
(not yet adaquately formulated) - I choose to pick some details (as Stathis
did commendably) for some brief reflection. Kim picked 1 item: aesthetics.
*
Entropy is not a 'state', it is a math expression within thermodynamics, a
figment of a developmental stage in primitive, inadequate explanations of
inadequate observations over the millennia.
Big Bang cosmology is an erroneous fairytale based on an idea of Hubble (not
scrutinized for alternates) and a linear retrogradation in a nonlinear
development from an arbitrary state - incomparable with our today's
observable physical world system - applying the laws and concepts of the
latter. Hence all the marvels it contains wishfully.
Evolution of the universe handles the implied topic of the (physicists')
20th c. figment in the spirit of 18th c. Darwinism.
To escape from that I constructed a 'narrative' - (no claims for any
scientific acceptabilitiy) in which the timeless 'universe' - flash
undergoes, as looked from the inside organized into space and time, a
'history' from occurrence to re-dissipation,  called evolution. That may be
(sort of) teleological, since it has a final point to attain: the
re-distribution into the unspecified plenitude, invented for the narrative
only for 'living with our ignorance about the *origins*'.
*
The 'totality-view' represents an unlimited complexity beyond our present
capabilities to comprehend, or inspect in toto. This is why we think in cut
(limited) topical/functional/ideational models (including the sciences).
Occam's razor is a '2nd step' reduction (even simpler modeling) in the
already formed models - omitting the rest of the connections. Making it EVEN
simpler to handle, even further away of the 'total complexity'.
*
objective terminal values? all we have is subjective, even virtual,
explained by mentality to the level of our capabilities. Values are culture
oriented and defined, especially morality, a social compromise for survival
within the appropriate culture. Eating the young flesh of the sacrificed
girl was very moral for the high priests. Taking interest on loans is
immoral for Islam. - Physical law depends on the extent of the complexity we
use for our observation restricted to the 'level' of measuring instruments
and to the timely '(era) math' applied for the explanation within the given
level of the then epistemic cognitive inventory. (Give or take 1000 years?).

*
Intelligence IMO is the capability of 'reading between the words' (as in
inter lego) with ELASTICITY of the thinking (not plasticity) allowing to
accept an idea, pondering about it, altering it, or rejecting it. (My main
objection vs. the computer-based Ai as such, working in fixed words).
*
Marc, I wrote these remarks in view of a 'new' way of thinking, enjoying
your historically sound and interesting post.

John Mikes
--


On Tue, Jul 29, 2008 at 9:22 AM, Stathis Papaioannou [EMAIL PROTECTED]wrote:

 2008/7/29  [EMAIL PROTECTED]:

  Point (1) there is a clear evolution to the universe. It started from
  a low-entropy-density state, and is moving towards a higher-entropy
  density, which, remarkably, just happens to coincide with an increase
  in physical complexity with time. In the beginning the universe was in
  a state with *the lowest possible* entropy. This is expressed in the
  laws of thermodynamics and big bang cosmology. So it simply isn't true
  that there is no teleology (purpose) built into the universe. The laws
  of thermodynamics and modern cosmology (big bang theory) clearly
  express the fact that there is.

 You'll have to explain what you mean by teleogy/purpose. If you claim
 that rocks roll downhill because it is their purpose to do so, that's
 not using the term in a conventional way.

  Here is the point that most haven't quite grasped - Occam's razor is
  *a set of aesthetic principles* - the notion of 'simplicity' is *a set
  of aesthetic principles*; Why? Because it is simply another way of
  saying that some representations are more *elegant* than others, which
  is the very notion of aesthetics! I repeat: the whole of science only
  works because of a set of *aesthetic principles* - a *set of values*.
 
  If all values are only subjective preferences, it would follow that
  the whole of science relies on subjective preferences. But subjective
  preferences have only existed as long as sentiments – therefore how
  could physical laws have functioned before sentiments? The idea that
  all values are subjective leads to a direct and blatant logical
  contradiction.

 Not necessarily. It may be that some mindless, valueless objective
 quality coincidentally produces aesthetic feelings. For example, we
 may find the human form