Re: [agi] Conway's Game of Life and Turing machine equivalence

2007-10-07 Thread Vladimir Nesov
On 10/7/07, Richard Loosemore [EMAIL PROTECTED] wrote:
 This is having the unfortunate side-effect that as each point is
 presented, you are interpreting it and (especially) running on ahead
 with it in directions that do not have any relation to my argument.

'Running ahead' part can be incorrect if starting point (my
interpretation of given single point) is incorrect, in which case this
single point should be corrected, and 'running ahead' part ignored, so
it in itself doesn't have any weight. You are still to point at what's
wrong with any given interpretation I wrote. Whole point of extracting
small simple statements is in that they can be quickly iterated up to
agreement, establishing common ground. But you usually end up saying
it contradicts my whole paper and giving another summary which is
not constructive and wastes your time.

-- 
Vladimir Nesovmailto:[EMAIL PROTECTED]

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Re: [agi] Conway's Game of Life and Turing machine equivalence

2007-10-07 Thread J Storrs Hall, PhD
It's probably worth pointing out that Conway's Life is not only Turing 
universal but that it can host self-replicating machines. In other words, an 
infinite randomly initialized Life board will contain living creatures 
which will multiply and grow, and ultimately come to dominate the entire 
board, as the self-replicating molecules in Earth's primeval oceans gave rise 
to biological life, which drastically changed the character of the whole 
planet.

In other words, the large-scale character of *any* sufficiently large Life 
board will be determined by the properties of the self-replicating patterns 
(which are a rare class (to begin with!), and overlap the Turing-universal 
ones).

It remains to be seen whether replicating Life patterns could evolve to become 
intelligent.

Josh

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Re: [agi] Conway's Game of Life and Turing machine equivalence

2007-10-07 Thread Russell Wallace
On 10/7/07, J Storrs Hall, PhD [EMAIL PROTECTED] wrote:
[rest of post and other recent ones agreed with]

 It remains to be seen whether replicating Life patterns could evolve to become
 intelligent.

No formal proof, but informally: definitely no. Our universe has all
sorts of special properties that make intelligence adaptive, that
Conway's Life doesn't have. Intelligence would be baggage in that
universe; best survivors will be bacterialike fast self-replicators
(maybe simpler than bacteria for all I know: it might turn out to be
optimal to ditch general assembler capability).

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Re: [agi] Conway's Game of Life and Turing machine equivalence

2007-10-07 Thread Vladimir Nesov
On 10/7/07, Russell Wallace [EMAIL PROTECTED] wrote:
 On 10/7/07, J Storrs Hall, PhD [EMAIL PROTECTED] wrote:
 [rest of post and other recent ones agreed with]

  It remains to be seen whether replicating Life patterns could evolve to 
  become
  intelligent.

 No formal proof, but informally: definitely no. Our universe has all
 sorts of special properties that make intelligence adaptive, that
 Conway's Life doesn't have. Intelligence would be baggage in that
 universe; best survivors will be bacterialike fast self-replicators
 (maybe simpler than bacteria for all I know: it might turn out to be
 optimal to ditch general assembler capability).

Well, given that it's Turing complete, it should have all forms of
intelligent entities too (probably including us), they just may be
non-trivial to observe.

-- 
Vladimir Nesovmailto:[EMAIL PROTECTED]

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Re: [agi] Conway's Game of Life and Turing machine equivalence

2007-10-07 Thread Russell Wallace
On 10/7/07, Vladimir Nesov [EMAIL PROTECTED] wrote:
 Well, given that it's Turing complete, it should have all forms of
 intelligent entities too (probably including us), they just may be
 non-trivial to observe.

Oh potentially yes, they just won't spontaneously evolve from the
primordial slime the way we did in our universe.

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Re: [agi] Conway's Game of Life and Turing machine equivalence

2007-10-07 Thread Vladimir Nesov
That's interesting perspective - it defines a class of series
generators (where for example in GoL one element is the whole board on
given tick) that generate intelligence through evolution in
time-efficient way, and poses a question: what is the simplest
instance of this class?

On 10/7/07, Russell Wallace [EMAIL PROTECTED] wrote:
 On 10/7/07, Vladimir Nesov [EMAIL PROTECTED] wrote:
  Well, given that it's Turing complete, it should have all forms of
  intelligent entities too (probably including us), they just may be
  non-trivial to observe.

 Oh potentially yes, they just won't spontaneously evolve from the
 primordial slime the way we did in our universe.

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-- 
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Re: [agi] Conway's Game of Life and Turing machine equivalence

2007-10-07 Thread Russell Wallace
On 10/7/07, Vladimir Nesov [EMAIL PROTECTED] wrote:
 That's interesting perspective - it defines a class of series
 generators (where for example in GoL one element is the whole board on
 given tick) that generate intelligence through evolution in
 time-efficient way, and poses a question: what is the simplest
 instance of this class?

If we accept Occam's razor plus some form of anthropic reasoning, we
could conjecture that our universe is the simplest instance of this
class, since if there were a simpler one we would (with high
probability) have found ourselves in that universe rather than this
one.

(Mental health warning: the above is hopefully-amusing philosophical
conjecture only, and should not be confused with science.)

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Re: [agi] Conway's Game of Life and Turing machine equivalence

2007-10-07 Thread J Storrs Hall, PhD
I'm not convinced, primarily because I would have said the same thing about 
actual bacteria vs humans if I didn't have the counterexample. 

One human generation time is 100,000 bacteria gen times -- and it only takes 
about 133 generations of bacteria to consume the the entire mass of the 
earth, if they could. 

Josh

On Sunday 07 October 2007 10:57:41 am, Russell Wallace wrote:
 On 10/7/07, J Storrs Hall, PhD [EMAIL PROTECTED] wrote:
 [rest of post and other recent ones agreed with]
 
  It remains to be seen whether replicating Life patterns could evolve to 
become
  intelligent.
 
 No formal proof, but informally: definitely no. Our universe has all
 sorts of special properties that make intelligence adaptive, that
 Conway's Life doesn't have. Intelligence would be baggage in that
 universe; best survivors will be bacterialike fast self-replicators
 (maybe simpler than bacteria for all I know: it might turn out to be
 optimal to ditch general assembler capability).
 
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Re: [agi] Conway's Game of Life and Turing machine equivalence

2007-10-07 Thread J Storrs Hall, PhD
On Sunday 07 October 2007 01:55:14 pm, Russell Wallace wrote:
 On 10/7/07, Vladimir Nesov [EMAIL PROTECTED] wrote:
  That's interesting perspective - it defines a class of series
  generators (where for example in GoL one element is the whole board on
  given tick) that generate intelligence through evolution in
  time-efficient way, and poses a question: what is the simplest
  instance of this class?
 
 If we accept Occam's razor plus some form of anthropic reasoning, we
 could conjecture that our universe is the simplest instance of this
 class, since if there were a simpler one we would (with high
 probability) have found ourselves in that universe rather than this
 one.
 
 (Mental health warning: the above is hopefully-amusing philosophical
 conjecture only, and should not be confused with science.)


This is the same kind of reasoning that leads Bostrom et al to believe that we 
are probably living in a simulation, which may be turned off at any ti

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Re: [agi] Conway's Game of Life and Turing machine equivalence

2007-10-07 Thread Vladimir Nesov
It depends on acceptance of self-sampling assumption (SSA), which is a
rather arbitrary thing: why for example it's considered plausible to
see yourself selected from set of all humans, and not for example all
primates or all same-gender-humans? I only see it possible to select
worlds where some kind of mind invariant is preserved, although I'm
not yet sure how to define this same-mind equivalence class. But given
that, probably simplicity of out world in this sense (in conjunction
with definition of human's mind equivalence class) plays a role in
universal prior of our world.

On 10/7/07, Russell Wallace [EMAIL PROTECTED] wrote:
 On 10/7/07, Vladimir Nesov [EMAIL PROTECTED] wrote:
  That's interesting perspective - it defines a class of series
  generators (where for example in GoL one element is the whole board on
  given tick) that generate intelligence through evolution in
  time-efficient way, and poses a question: what is the simplest
  instance of this class?

 If we accept Occam's razor plus some form of anthropic reasoning, we
 could conjecture that our universe is the simplest instance of this
 class, since if there were a simpler one we would (with high
 probability) have found ourselves in that universe rather than this
 one.

 (Mental health warning: the above is hopefully-amusing philosophical
 conjecture only, and should not be confused with science.)

 -
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-- 
Vladimir Nesovmailto:[EMAIL PROTECTED]

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Re: [agi] Conway's Game of Life and Turing machine equivalence

2007-10-07 Thread Russell Wallace
On 10/7/07, J Storrs Hall, PhD [EMAIL PROTECTED] wrote:
 I'm not convinced, primarily because I would have said the same thing about
 actual bacteria vs humans if I didn't have the counterexample.

Granted, all I have is armchair reasoning, and it's certainly not
unreasonable for you to fail to be convinced by such. It'd be more
solid if we could throw some experimental evidence into the mix.
Modern algorithms on modern hardware should be able to run a
self-replicating creature in Conway's Life, perhaps a big enough
population of them to get some sort of idea of some of the
evolutionary pathways; anyone reading this in the mood for a fun
challenge? :)

I did once download and run an evolutionary CA someone wrote, that
allowed various shortcuts to cram a self-replicator into a few tens of
cells, with extraneous mutation and death functions. Had a spare
Pentium box around at the time, so I ran it for 6 months, got some
results the programmer hadn't anticipated. Not in the direction of
intelligence alas.

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Re: [agi] Conway's Game of Life and Turing machine equivalence

2007-10-07 Thread Russell Wallace
RESTORE OCT-2007.SAV

On 10/7/07, J Storrs Hall, PhD [EMAIL PROTECTED] wrote:
 This is the same kind of reasoning that leads Bostrom et al to believe that we
 are probably living in a simulation, which may be turned off at any ti

Exactly :)

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Re: [agi] Do the inference rules of categorical logic make sense?

2007-10-07 Thread Charles D Hixson

Edward W. Porter wrote:


So is the following understanding correct?

If you have two statements

Fred is a human
Fred is an animal

And assuming you know nothing more about any of the three
terms in both these statements, then each of the following
would be an appropriate induction

A human is an animal
An animal is a human
A human and an animal are similar

It would only then be from further information that you
would find the first of these two inductions has a larger
truth value than the second and that the third probably
has a larger truth value than the second..

Edward W. Porter
Porter  Associates
24 String Bridge S12
Exeter, NH 03833
(617) 494-1722
Fax (617) 494-1822
[EMAIL PROTECTED]

Actually, you know less than you have implied. 
You know that there exists an entity referred to as Fred, and that this 
entity is a member of both the set human and the set animal.  You aren't 
justified in concluding that any other member of the set human is also a 
member of the set animal.  And conversely.  And the only argument for 
similarity is that the intersection isn't empty.


E.g.:
Fred is a possessor of purple hair.   (He dyed his hair)
Fred is a possessor of jellyfish DNA. (He was a subject in a molecular 
biology experiment.  His skin would glow green under proper stimulation.)


Now admittedly these sentences would usually be said in a different form 
(i.e., Fred has green hair), but they are reasonable translations of 
an equivalent sentence (Fred is a member of the set of people with 
green hair).


You REALLY can't do good reasoning using formal logic in natural 
language...at least in English.  That's why the invention of symbolic 
logic was so important.


If you want to use the old form of syllogism, then at least one of the 
sentences needs to have either an existential or universal quantifier.  
Otherwise it isn't a syllogism, but just a pair of statements.  And all 
that you can conclude from them is that they have been asserted.  (If 
they're directly contradictory, then you may question the reliability of 
the asserter...but that's tricky, as often things that appear to be 
contradictions actually aren't.)


Of course, what this really means is that logic is unsuited for 
conversation... but it also implies that you shouldn't program your 
rule-sets in natural language.  You'll almost certainly either get them 
wrong or be ambiguous.  (Ambiguity is more common, but it's not 
exclusive of wrong.)



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Re: [agi] Conway's Game of Life and Turing machine equivalence

2007-10-07 Thread Richard Loosemore

William Pearson wrote:

On 07/10/2007, Richard Loosemore [EMAIL PROTECTED] wrote:


I have a question for you, Will.

Without loss of generality, I can change my use of Game of Life to a new
system called GoL(-T) which is all of the possible GoL instantiations
EXCEPT the tiny subset that contain Turing Machine implementations.



As far as I am concerned it is not that simple. Turing completeness
has nothing to do with any particular implementation of a TM in that
system. It is a property of the system.


[other stuff snipped]

Will,

This is factually incorrect.  Please refer to the work done on Turing 
machine implementations in Game of Life.


The Turing Machine implementation was just that:  arrange the cells in 
the right way and it is possible to build a Turing machine.


Arrange them differently, and it is impossible.  For example, just one 
cell in the wrong state in one of those TM implementations, and the 
whole TM just explodes into chaos.


The TM implementation not only has no relevance to the behavior of 
GoL(-T) at all, it also has even less relevance to the particular claims 
that I made about GoL (or GoL(-T)).


If you think the TM implementation does impact it, you should 
demonstrate exactly how.




Richard Loosemore

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Re: [agi] Do the inference rules of categorical logic make sense?

2007-10-07 Thread Mike Dougherty
On 10/7/07, Charles D Hixson [EMAIL PROTECTED] wrote:
 ... logic is unsuited for conversation...

what a great quote

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Re: [agi] Conway's Game of Life and Turing machine equivalence

2007-10-07 Thread charles griffiths
Imagine a skin of self-reinforcing patterns. A simple version would be immune 
to a change in any one cell, more complicated versions would automatically 
replicate to repair damage involving two, three, four, or more cells. Inside, 
complicated structures could replicate without being all that concerned about 
the bacteria-like or prion-like replication going on outside. Simple patterns 
from the outside could break through the skin sometimes by overwhelming 
numbers, and act as a source of outside randomness.

Imagining such a system that also splits itself in half every so often, 
preferably without clobbering its own siblings, is left as an exercise to the 
human reader. Post-humans may imagine a heterogeneous collection of such 
systems that communicate with one another (like neurons) or provide what we 
might call structural support, replicate sexually on a larger scale, and 
eventually evolve to be as intelligent as we are.

Of course, since the board is infinite and randomized to begin with, such 
intelligent collections exist from the first moment. The eventually-dominant 
type of collection might be more intelligent than I am, so it's hard for me to 
say exactly what it might be like.

Charles Griffiths


J Storrs Hall, PhD [EMAIL PROTECTED] wrote: I'm not convinced, primarily 
because I would have said the same thing 
about actual bacteria vs humans if I didn't have the counterexample. 

One human generation time is 100,000 bacteria gen times -- and it only
takes about 133 generations of bacteria to consume the the entire mass of the 
earth, if they could. 

Josh

On Sunday 07 October 2007 10:57:41 am, Russell Wallace wrote:
 On 10/7/07, J Storrs Hall, PhD  wrote:
 [rest of post and other recent ones agreed with]
 
  It remains to be seen whether replicating Life patterns could evolve
  to become intelligent.
 
 No formal proof, but informally: definitely no. Our universe has all
 sorts of special properties that make intelligence adaptive, that
 Conway's Life doesn't have. Intelligence would be baggage in that
 universe; best survivors will be bacterialike fast self-replicators
 (maybe simpler than bacteria for all I know: it might turn out to be
 optimal to ditch general assembler capability).
 


   
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Re: [agi] Do the inference rules of categorical logic make sense?

2007-10-07 Thread Pei Wang
Charles,

What you said is correct for most formal logics formulating binary
deduction, using model-theoretic semantics. However, Edward was
talking about the categorical logic of NARS, though he put the
statements in English, and omitted the truth values, which may caused
some misunderstanding.

Pei

On 10/7/07, Charles D Hixson [EMAIL PROTECTED] wrote:
 Edward W. Porter wrote:
 
  So is the following understanding correct?
 
  If you have two statements
 
  Fred is a human
  Fred is an animal
 
  And assuming you know nothing more about any of the three
  terms in both these statements, then each of the following
  would be an appropriate induction
 
  A human is an animal
  An animal is a human
  A human and an animal are similar
 
  It would only then be from further information that you
  would find the first of these two inductions has a larger
  truth value than the second and that the third probably
  has a larger truth value than the second..
 
  Edward W. Porter
  Porter  Associates
  24 String Bridge S12
  Exeter, NH 03833
  (617) 494-1722
  Fax (617) 494-1822
  [EMAIL PROTECTED]
 
 Actually, you know less than you have implied.
 You know that there exists an entity referred to as Fred, and that this
 entity is a member of both the set human and the set animal.  You aren't
 justified in concluding that any other member of the set human is also a
 member of the set animal.  And conversely.  And the only argument for
 similarity is that the intersection isn't empty.

 E.g.:
 Fred is a possessor of purple hair.   (He dyed his hair)
 Fred is a possessor of jellyfish DNA. (He was a subject in a molecular
 biology experiment.  His skin would glow green under proper stimulation.)

 Now admittedly these sentences would usually be said in a different form
 (i.e., Fred has green hair), but they are reasonable translations of
 an equivalent sentence (Fred is a member of the set of people with
 green hair).

 You REALLY can't do good reasoning using formal logic in natural
 language...at least in English.  That's why the invention of symbolic
 logic was so important.

 If you want to use the old form of syllogism, then at least one of the
 sentences needs to have either an existential or universal quantifier.
 Otherwise it isn't a syllogism, but just a pair of statements.  And all
 that you can conclude from them is that they have been asserted.  (If
 they're directly contradictory, then you may question the reliability of
 the asserter...but that's tricky, as often things that appear to be
 contradictions actually aren't.)

 Of course, what this really means is that logic is unsuited for
 conversation... but it also implies that you shouldn't program your
 rule-sets in natural language.  You'll almost certainly either get them
 wrong or be ambiguous.  (Ambiguity is more common, but it's not
 exclusive of wrong.)


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