Re: An idea to resolve the 1st Person/3rd person division mystery - Coarse graining is the answer!?

2007-05-08 Thread Stathis Papaioannou
On 08/05/07, [EMAIL PROTECTED] [EMAIL PROTECTED] wrote:

Well of course I agree with you in this case.  'Election' is a human
 construct.  That's why it was a horrifyingly unfortunate typo on my
 point.  The point is that if you try to apply the same reasoning to
 everything, you'll end up saying that *everything* is just a human
 construct - and throw the scientific method out the window.  We don't
 'construct' those things in reality which are objective.  Our concepts
 *make reference* to them.  The concepts may be invented, but there has
 to be a match between at least *some* of the informational content of
 our theories and the informational content of objective theory (or
 else the concepts would be useless).  Think computers and information
 here.  Objective reality is information.  And our concepts are
 information too.  So there has to be a partial match between the
 information content of useful concepts and objective reality.  That's
 why we can refer a failure of reductionism from the concepts we
 invented which proved useful.


Yes, but the theory is our idea of that partial match and is a human
construct. As a human idea, the theory is something separate. But the
objective reality of nature (whatever it is) is not something separate to
the objective reality of nature. Maybe we are quibbling about words, but it
is in the spirit of Occam's Razor to have the minimum number of entities
possible.

-- 
Stathis Papaioannou

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Re: An idea to resolve the 1st Person/3rd person division mystery - Coarse graining is the answer!?

2007-05-08 Thread marc . geddes



On May 8, 4:22 pm, Brent Meeker [EMAIL PROTECTED] wrote:
 [EMAIL PROTECTED] wrote:



  I have now given three clear-cut exmaples of a failure of
  reductionism.
   (1)  Infinite Sets  

 But there is no infinite set of anything.

Says who?  The point is that infinite sets appear to be indispensible
to our explanations of reality.  According to the Tegmark paper just
recently posted, math concepts map to physical concepts.  We can infer
that there must be some physical concept which can be indentified with
an infinite set.  And the existence of this physical thing would be a
violation of reductionism.  To escape from the conclusion we either
have to deny that infinite sets are real, or else deny the one-to-one
match between the mathematical and physical world.


 (2)  The Laws of Physics and (3) Quantum Wave
  Functions

  It is established that all of these concepts are indispensible to our
  explanations of reality and they are logically well defined and
  supported.  But none of these concepts can be reduced to any finite
  set of empirical facts.

 That's because we invented them.

No, it's because reductionism is false.  We invented the concepts, but
(as I mentioned in the previous post) for concepts which are useful
there has to be at least a *partial* match between the information
content of the concepts and the information content of reality.
Therefore we can infer general things about reality from knowledge of
this information content.  Where informational content of our useful
concepts is not computable, this tells us that there do exist physical
things which also mimic this uncomputability (and hence reductionism
is false).



 QM isn't even a physical theory; it's just a set of principles for 
 formulating physical theories; as classical mechanics was before it.

Exactly so!  I agree.  QM is  really an abstract *high-level*
explanation of reality.  This sounds strange, because the QM
description is usually thought of as the *low level* (basement level)
description fo reality, but it ain't.  It's true that QM may be the
basement level in the sense of *accuracy* (best scientific model so
far), but *not* in the ontological sense.  As you point out, in the
*ontological* sense it's really a sort of high-level *reality shell* -
an abstracted set of principles rather a complete physical principle
in itself.

My reality theory is a three-level model of reality (as I mentioned
earlier in the thread).  And QM is actually at the *highest* level of
explanation!  This is the complete reverse of how QM is conventinally
thought of.  It makes more sense of you think of the wave function of
the whole universe.  Then you can how QM is actually the *highest
level* (most abstract) explanation of reality.  Next level down are
functional systems.  Then the lowest level is the particle level.  All
three of these levels of description are equally valid.  This is
somewhat similair to Bohm's two-level interpretation (wave function at
one level, particles the other level).  Only I have inserted a third
level into the scheme.  *Between* the QM wave level description (high
level) and the aprticle level description (low level) is where I think
the solution to the puzzle of consciousness may be found.




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Re: An idea to resolve the 1st Person/3rd person division mystery - Coarse graining is the answer!?

2007-05-08 Thread marc . geddes



On May 8, 6:03 pm, Stathis Papaioannou [EMAIL PROTECTED] wrote:


 Yes, but the theory is our idea of that partial match and is a human
 construct. As a human idea, the theory is something separate. But the
 objective reality of nature (whatever it is) is not something separate to
 the objective reality of nature. Maybe we are quibbling about words, but it
 is in the spirit of Occam's Razor to have the minimum number of entities
 possible.

 --
 Stathis Papaioannou

No!  The theory is not the *idea* of the partial match.  The theory
(the parts which are correct) *is identical* to to the match.  The
distinction between map and territory is dissolving.  Again, you need
to keep your eye on the ball and think computer science and
information here.  The theory *is information*.  The reality is
*information*.  Therefore, *for the particular parts of the theory
which are correct* , those parts of the theory (the abstracted
information content) *are identical* to the reality.  Reality is
informationtheory is information...and at the intersection (where
the two over-lap and at the right level of abstraction) it's
*identical* information.

Think of it another way.  OOP (Object Oriented Programming) draws no
distinction between an objective 'object' and an abstracted 'class'.
You can create abstract classes (which correspond to for instance
abstract ideas) but these classes ARE THEMSELVES OBJECTS.  Think about
it.





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Re: An idea to resolve the 1st Person/3rd person division mystery - Coarse graining is the answer!?

2007-05-08 Thread Bruno Marchal


Le 08-mai-07, à 04:27, [EMAIL PROTECTED] a écrit :

 Say what!!  this is not a valid analogy since the laws of physics are
 absolutely the fundamental level of reality, where as dsecriptions of
 chimpanzee behaviour are not.


What makes you so sure. This is a physicalist assumption, and it  has 
been shown non compatible with very weak form of mechanism.




 'The Laws of Physics'  don't refer to human notions (they certainly
 are not regarded that way by scientists - the whole notion of an
 objective reality would have be thrown out the window if we thought
 that there were no objective laws of physics since as mentioned,
 physics is the base level of reality), but are precise mathematical
 rules which have to be (postulated as) *universal* in scope for the
 scientific method to work at all.


Actually, although the current laws of physics does not refer to 
humans, they do refer to observers, if not only through the notions of 
observable and measurement..
With Everett, the observer can be just a memory machine. Once a 
machine,  the laws of physics have to emerge from something else, like 
number or information science/computer science, or mathematics.

You are perhaps confusing the notion of objective reality with the 
physicalist assumption that the objective reality is the physical 
reality. This has never been proved, and indeed is already jeopardized 
independently by both the quantum facts and simple hypotheses, like the 
finiteness of some possible representations of the observers.

Bruno



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


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Every creation and gravitation

2007-05-08 Thread andy gh

Every creation hypotheses, instead of every computation 
or every mathematical structure.
I favor a variant of the everything idea, which I would like 
to call the every creation approach. In some sense it 
creates every computational moment. Computations are 
not required as fundamental entities. Almost all you need is 
a natural definition to make new creations from pairs of 
creations. This determines the evolution of an avalanche of 
creations. Creations inside the avalanche may be aware only 
of those creations to which they are in relative equilibrium. 
As with other approaches, a consequence seems to be the 
emergence of the laws of Physics.

Let me start with the following 4 hypotheses:

1. There is an underlying time. 
2. There are creations (creation objects).
3. There is a natural creation operation defined, which 
creates new creations from existing creations.
4. Every natural creation operation happens.

Some more words on these hypotheses:

(1) There is an underlying time, which is discrete. This 
makes it easy to talk about creation operations, as if they 
happened in our time. I will do this.

(2a) New creations can be made (created). 
(2b) Creations do not get deleted. 
(2c) Creations can be made in multiple copies. Creations 
have multiplicities. Whether a creation can be made does 
not depend on (can not be prevented by) the preexistence 
of an identical creation. 

(3) For any two creations x and y, there is a natural 
creation operation [x,y] defined, which makes a creation z. 
Lets call x the operator, and y the operand. I do not specify 
the definition of the natural creation operation here. I have 
given one of my favorite definitions, using replacement 
operators, in a previous posting, where [(x1 x2),y] creates 
a copy of y and replaces every occurrence of x1 by x2.

(4a) Every-creation hypotheses. The natural creation 
operation [x,y] is happening for every existing creation x 
and for every existing creation y.

(4b) Every existing creation x has equal chance to become 
the operator in [x,y].

(4c) Every existing creation y has equal chance to become 
the operand in [x,y].

Let's also make the assumption that creations are (directly) 
responsible for our awareness and our perceptions of the 
world. What are the consequences of such a hypotheses?

Creations may perceive other creations only indirectly and 
only if the later possibly play a role in the creations' 
histories. We may not perceive properties which depend 
on the underlying time Tau. But we may be able to perceive 
invariant properties, which do not change when the 
underlying time Tau is getting larger and larger. We can be 
indirectly aware of creations who's multiplicities are on 
average in relative equilibrium with the multiplicities of the 
creations which are directly responsible for our 
awareness.  

Thus the observable universe consists, possibly only, of 
creations who's multiplicities grow on average at the same 
rate.

 Multiplicity(creation,Tau) = phi(creation) * growth_factor(Tau) 
 Multiplicity (observer,Tau) = phi(observer) * growth_factor(Tau)

The relative multiplicity, 
 Multiplicity (creation,Tau) /Multiplicity (observer,Tau) = 
 = phi(creation) / phi(observer),
is independent of Tau.

For creations inside the avalanche, the importance of 
the initial conditions depends on the number of possible 
equilibrium states (or the number of certain equivalence 
classes of possible equilibrium states.) If there is only one 
possible equilibrium state, then the initial conditions are 
not relevant at all.

Let's assume that Tau is large enough, so that the 
equilibrium is reached for the creations under 
consideration. The growth factor can be calculated when 
we make the simplifying approximation that every operation 
[x,y] just creates one new copy of y. In that case trivially all 
creations are in equilibrium, as required. If one of the 
operations [x,y] does not create a new copy of y, but 
instead another creation z, the equilibrium is broken. There 
is one creation y missing and one creation z too much. This 
is as if the creation y had been moved from y to z. The 
effective movement can be compensated by an effective 
movement back. There could be another operation [x2,z] 
which creates a creation y. Adding loops of effective 
movements does not change the equilibrium.

May a set X of creations x_i form a pattern, and the 
operations among these creations may produce another 
pattern Y of creations y_i. Lets call this an effective particle 
P moving from X to Y. The broken equilibrium can be 
restored by an effective particle moving from Y to X. Let 
me call this the effective antiparticle P_bar moving into the 
opposite direction as particle P is moving.

The choice of naming is intended to remind you of the 
Feynman-Stückelberg interpretation of E0 Solutions of 
equations like Dirac or Klein-Gordon Equation:
Negative-energy particle solutions going backward in time 
*describe*, 
positive-energy 

Re: An idea to resolve the 1st Person/3rd person division mystery - Coarse graining is the answer!?

2007-05-08 Thread Brent Meeker

[EMAIL PROTECTED] wrote:
 
 
 On May 8, 4:06 pm, Stathis Papaioannou [EMAIL PROTECTED] wrote:
 On 08/05/07, [EMAIL PROTECTED] [EMAIL PROTECTED] wrote:



 Silly spelling error in my last post - I meant 'electrons' of course.
 Let avoid talk of 'electrons' then, and talk about  'Quantum Wave
 Functions' then, since surely even Russell must agree that QM fields
 are fundamental (at least as far as we know).  You can't say that QM
 fields are just human inventions - take away the base level and you
 have no objective reality left to argue about! ;)
 Actually I didn't pick it as a typo - I thought you were talking about
 elections. Elections are complex things, involving candidates, voters,
 timing, standards of empirical verification and many other rules. They also
 involve concepts such as fairness, democracy, deceitfulness and so on.
 You can't physically grasp an election or draw a circle around it.
 Nevertheless, calling it an election is just a shorthand for a collection of
 matter behaving in a certain way. There is no extra election-substance
 instilled by the universe which makes the difference between an election and
 an otherwise identical non-election, and there is no election-entity
 distinct from the behaviour of matter which we observe and call an election.

 --
 Stathis Papaioannou
 
 Well of course I agree with you in this case.  'Election' is a human
 construct.  That's why it was a horrifyingly unfortunate typo on my
 point.  The point is that if you try to apply the same reasoning to
 everything, you'll end up saying that *everything* is just a human
 construct - and throw the scientific method out the window.  We don't
 'construct' those things in reality which are objective.  Our concepts
 *make reference* to them.  The concepts may be invented, but there has
 to be a match between at least *some* of the informational content of
 our theories and the informational content of objective theory (or
 else the concepts would be useless).  Think computers and information
 here.  Objective reality is information.  

There's the sticking point.  Information is about something, it's not 
necessarily something itself - though of course it is always embodied in some 
way.

And our concepts are
 information too.  

In what sense is an electron information?  The state of an electron, relative 
to some apparatus or preparation, may carry some information but I don't see 
that the electron IS information.

So there has to be a partial match between the
 information content of useful concepts and objective reality.  

But it doesn't follow that reality IS information.

Brent Meeker

That's
 why we can refer a failure of reductionism from the concepts we
 invented which proved useful.
 
 
  
 
 


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Re: An idea to resolve the 1st Person/3rd person division mystery - Coarse graining is the answer!?

2007-05-08 Thread Brent Meeker

[EMAIL PROTECTED] wrote:
 
 
 On May 8, 3:56 pm, Brent Meeker [EMAIL PROTECTED] wrote:
 [EMAIL PROTECTED] wrote:
 
 'The Laws of Physics'  don't refer to human notions (they certainly
 are not regarded that way by scientists
 They are by the scientists I know.
 
 The *knowledge* we have of the laws of physics are human notions.  But
 the laws of physics *per se* are not.  

All the laws of physics we know of, or ever will know of, are.

See other post.  Think computer
 science and information.  Our concepts are information and so is
 reality.  

How do you know what reality is?

So in the case of useful concepts there has to be a partial
 match between the information content of the concepts and the
 information content of reality.  This means we can infer properties
 about reality from our concepts.  The distinction between map and
 territory is not absolute.  A simulated hurricane for instance, has
 *some* of the exact same *information content* as a real hurricane.

But some is not all.  The hurricane embodies the information of our fluid 
dynamic model of a hurricane plus a whole lot more.

 
 
 - the whole notion of an
 objective reality would have be thrown out the window if we thought
 that there were no objective laws of physics since as mentioned,

True.  But ask yourself why you think there is an objective reality, as opposed 
to being a brain in a vat or a simulation in a computer or a number in a UD?  
It's not because you perceive reality directly.  

 physics is the base level of reality), but are precise mathematical
 rules which have to be (postulated as) *universal* in scope for the
 scientific method to work at all.
 Sure, they are precise mathematical systems, which the scientist hopes and 
 intends to describe (part of) an objective reality.  But the map is not the 
 territory and scientists know it.
 
 See above.  And read Tegmark's paper!  ;) In the case of mathematics
 the distinction between map and territory is breaking down.  Remember
 what we agreed on earlier - math is *both* epistemological (a map we
 use to understand reality) *and* ontological (the territory  itself)

I have never agreed that mathematics has the same ontological status as 
reality (whatever that is).  I think mathematics is all a human construct 
which is used to describe reality and a lot of other stuff.  I've read 
Tegmark's paper; that doesn't mean I accept it as 'the truth'.

Brent Meeker


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Re: An idea to resolve the 1st Person/3rd person division mystery - Coarse graining is the answer!?

2007-05-08 Thread Brent Meeker

[EMAIL PROTECTED] wrote:
 
 
 On May 8, 4:22 pm, Brent Meeker [EMAIL PROTECTED] wrote:
 [EMAIL PROTECTED] wrote:
 

 I have now given three clear-cut exmaples of a failure of
 reductionism.
  (1)  Infinite Sets  
 But there is no infinite set of anything.
 
 Says who?  The point is that infinite sets appear to be indispensible
 to our explanations of reality.  

All measurements yield finite numbers.  Infinite sets and infinitesimals are 
mathematical conveniences that avoid having to worry about how small is small 
enough and how big is too big.  Do you ever use infinite sets in computer 
science?

According to the Tegmark paper just
 recently posted, math concepts map to physical concepts.  

We only know that some math concepts map to physical concepts and we dont' know 
that the mapping is perfect and in fact we have some reason to believe that it 
is not.

We can infer
 that there must be some physical concept which can be indentified with
 an infinite set.  And the existence of this physical thing would be a
 violation of reductionism.  To escape from the conclusion we either
 have to deny that infinite sets are real, or else deny the one-to-one
 match between the mathematical and physical world.
 
 (2)  The Laws of Physics and (3) Quantum Wave
 Functions
 It is established that all of these concepts are indispensible to our
 explanations of reality and they are logically well defined and
 supported.  But none of these concepts can be reduced to any finite
 set of empirical facts.
 That's because we invented them.
 
 No, it's because reductionism is false.  We invented the concepts, but
 (as I mentioned in the previous post) for concepts which are useful
 there has to be at least a *partial* match between the information
 content of the concepts and the information content of reality.
 Therefore we can infer general things about reality from knowledge of
 this information content.  Where informational content of our useful
 concepts is not computable, this tells us that there do exist physical
 things which also mimic this uncomputability (and hence reductionism
 is false).

Or that our mapping is faulty and there a mathematical concepts that don't map 
to anything physical - which I think would be obvious since it has been shown 
that a mathematical system will always include undecidable propositions and 
such propositions or their negation can be added to create new, mutually 
inconsistent mathematical systems.

 
 
 QM isn't even a physical theory; it's just a set of principles for 
 formulating physical theories; as classical mechanics was before it.
 
 Exactly so!  I agree.  QM is  really an abstract *high-level*
 explanation of reality.  This sounds strange, because the QM
 description is usually thought of as the *low level* (basement level)
 description fo reality, but it ain't.  It's true that QM may be the
 basement level in the sense of *accuracy* (best scientific model so
 far), but *not* in the ontological sense.  As you point out, in the
 *ontological* sense it's really a sort of high-level *reality shell* -
 an abstracted set of principles rather a complete physical principle
 in itself.
 
 My reality theory is a three-level model of reality (as I mentioned
 earlier in the thread).  And QM is actually at the *highest* level of
 explanation!  This is the complete reverse of how QM is conventinally
 thought of.  It makes more sense of you think of the wave function of
 the whole universe.  Then you can how QM is actually the *highest
 level* (most abstract) explanation of reality.  Next level down are
 functional systems.  Then the lowest level is the particle level.  All
 three of these levels of description are equally valid.  This is
 somewhat similair to Bohm's two-level interpretation (wave function at
 one level, particles the other level).  Only I have inserted a third
 level into the scheme.  *Between* the QM wave level description (high
 level) and the aprticle level description (low level) is where I think
 the solution to the puzzle of consciousness may be found.

But QM assumes a fixed background spacetime, which is inconsistent with general 
relativity - so one of them (or more likely both) are wrong.

Brent Meeker

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Re: An idea to resolve the 1st Person/3rd person division mystery - Coarse graining is the answer!?

2007-05-08 Thread Brent Meeker

[EMAIL PROTECTED] wrote:
 
 
 On May 8, 6:03 pm, Stathis Papaioannou [EMAIL PROTECTED] wrote:
 
 Yes, but the theory is our idea of that partial match and is a human
 construct. As a human idea, the theory is something separate. But the
 objective reality of nature (whatever it is) is not something separate to
 the objective reality of nature. Maybe we are quibbling about words, but it
 is in the spirit of Occam's Razor to have the minimum number of entities
 possible.

 --
 Stathis Papaioannou
 
 No!  The theory is not the *idea* of the partial match.  The theory
 (the parts which are correct) *is identical* to to the match.  

But how do you know any part is correct.  Thermodynamics is a very good theory, 
I use the thermodynamics of gases often and I get very good answers - but I 
know it's not exact because it's neglecting the finite number of molecules 
involved and approximating them as a continuum.  And in fact for hypersonic 
flows I have to start taking the molecules into account.  And *really* I know 
the molecules are made up of atoms and so there is dissocation at high 
temperatures and I need to make corrections for that and...so on.

Brent Meeker

The
 distinction between map and territory is dissolving.  Again, you need
 to keep your eye on the ball and think computer science and
 information here.  The theory *is information*.  The reality is
 *information*.  Therefore, *for the particular parts of the theory
 which are correct* , those parts of the theory (the abstracted
 information content) *are identical* to the reality.  Reality is
 informationtheory is information...and at the intersection (where
 the two over-lap and at the right level of abstraction) it's
 *identical* information.
 
 Think of it another way.  OOP (Object Oriented Programming) draws no
 distinction between an objective 'object' and an abstracted 'class'.
 You can create abstract classes (which correspond to for instance
 abstract ideas) but these classes ARE THEMSELVES OBJECTS.  Think about
 it.

They are themselves objects only in the conceptual world of the program.

Brent Meeker

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Re: An idea to resolve the 1st Person/3rd person division mystery - Coarse graining is the answer!?

2007-05-08 Thread marc . geddes



On May 9, 5:59 am, Brent Meeker [EMAIL PROTECTED] wrote:
 [EMAIL PROTECTED] wrote:


 So in the case of useful concepts there has to be a partial
  match between the information content of the concepts and the
  information content of reality.  This means we can infer properties
  about reality from our concepts.  The distinction between map and
  territory is not absolute.  A simulated hurricane for instance, has
  *some* of the exact same *information content* as a real hurricane.

 But some is not all.  The hurricane embodies the information of our fluid 
 dynamic model of a hurricane plus a whole lot more.

This point about information is indeed the sticking point in this
thread.  But both here in your other post you seem to be agreeing with
me!  In the other post you said:  The state of an electron, relative
to some apparatus or preparation, may carry some information.  And
here you say:  The hurricane embodies the information .  But this
was precisely my point.  If you indeed agree the electron itself 'is
carrying information', and that the hurricane 'embodies information',
then you are agreeing that there exists something in external reality
which is 'information'.  It is not neccessery for you to accept that
reality is all information.  For my points to stick you only need to
agree that *some* part of external reality is *information* (or that
'reality has an informational layer or component).  You seem to have
agreed.




 I have never agreed that mathematics has the same ontological status as 
 reality (whatever that is).  I think mathematics is all a human construct 
 which is used to describe reality and a lot of other stuff.  I've read 
 Tegmark's paper; that doesn't mean I accept it as 'the truth'.

 Brent Meeker

Well here is a major ontological disagreement between us then, since I
think math *does* have the same status as 'reality'.  It all comes
down in part to the sticking point about information we've just
beenarguing about.  If something in reality is 'infomation', then
something in reality is also math, since (discrete math at least) is
all about information.


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Re: An idea to resolve the 1st Person/3rd person division mystery - Coarse graining is the answer!?

2007-05-08 Thread marc . geddes



On May 9, 6:08 am, Brent Meeker [EMAIL PROTECTED] wrote:
 [EMAIL PROTECTED] wrote:

  On May 8, 4:22 pm, Brent Meeker [EMAIL PROTECTED] wrote:
  [EMAIL PROTECTED] wrote:

  I have now given three clear-cut exmaples of a failure of
  reductionism.
   (1)  Infinite Sets  
  But there is no infinite set of anything.

  Says who?  The point is that infinite sets appear to be indispensible
  to our explanations of reality.  

 All measurements yield finite numbers.  Infinite sets and infinitesimals are 
 mathematical conveniences that avoid having to worry about how small is small 
 enough and how big is too big.  Do you ever use infinite sets in computer 
 science?

Infinite sets and infinitesimals are a lot more than 'mathematical
conveniences'.  There are precise logical theories for these things
(As I mentioned before - Cantor worked out the theory of infinite
sets, Robinson/Conway worked out the theory of infinitesimals).  A
dislike of infinities characterized the early Greeks and pre 20th
century mathematicians.  It hindered the development of mathematics.
(Read the excellent books by Rudy Rucker).

It's true that infinite sets are not used in comptuer science (which
is all about discrete/finite math) but beware of making assumptions
about reality purely on the basis of what can be measured ;)  It has
never been established that space is discrete (a point Stephen Hawking
just recently was at pains to get across).  The supposed discreteness
of space seems to be yet another dogma currently popular with computer
scientists.



  No, it's because reductionism is false.  We invented the concepts, but
  (as I mentioned in the previous post) for concepts which are useful
  there has to be at least a *partial* match between the information
  content of the concepts and the information content of reality.
  Therefore we can infer general things about reality from knowledge of
  this information content.  Where informational content of our useful
  concepts is not computable, this tells us that there do exist physical
  things which also mimic this uncomputability (and hence reductionism
  is false).

 Or that our mapping is faulty and there a mathematical concepts that don't 
 map to anything physical - which I think would be obvious since it has been 
 shown that a mathematical system will always include undecidable propositions 
 and such propositions or their negation can be added to create new, mutually 
 inconsistent mathematical systems.


I don't see that uncomputability or undecidability has any bearing on
the issue of the mapping between the physical and mathematical.  In
the multiverse view, all possible mathematical systems could be
physically real.  'Physical' does not have to mean 'finite' or
'computable'.




  My reality theory is a three-level model of reality (as I mentioned
  earlier in the thread).  And QM is actually at the *highest* level of
  explanation!  This is the complete reverse of how QM is conventinally
  thought of.  It makes more sense of you think of the wave function of
  the whole universe.  Then you can how QM is actually the *highest
  level* (most abstract) explanation of reality.  Next level down are
  functional systems.  Then the lowest level is the particle level.  All
  three of these levels of description are equally valid.  This is
  somewhat similair to Bohm's two-level interpretation (wave function at
  one level, particles the other level).  Only I have inserted a third
  level into the scheme.  *Between* the QM wave level description (high
  level) and the aprticle level description (low level) is where I think
  the solution to the puzzle of consciousness may be found.

 But QM assumes a fixed background spacetime, which is inconsistent with 
 general relativity - so one of them (or more likely both) are wrong.

 Brent Meeker

There are *degrees* of rightness/wrongness.  Later successful theories
of reality will still have to have some of the same features of the
earlier theories in areas where the earlier theories were empirically
proven.  For instance it's been proven from the EPR experiments that
any theory that replaces current QM still has to have some of the same
general features such as a 'wave of possibilities/sum over histories',
non-locality or uncertainties and so on.



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Re: An idea to resolve the 1st Person/3rd person division mystery - Coarse graining is the answer!?

2007-05-08 Thread Brent Meeker

[EMAIL PROTECTED] wrote:
 
 
 On May 9, 6:08 am, Brent Meeker [EMAIL PROTECTED] wrote:
 [EMAIL PROTECTED] wrote:
 
 On May 8, 4:22 pm, Brent Meeker [EMAIL PROTECTED] wrote:
 [EMAIL PROTECTED] wrote:
 I have now given three clear-cut exmaples of a failure of 
 reductionism. (1)  Infinite Sets
 But there is no infinite set of anything.
 Says who?  The point is that infinite sets appear to be
 indispensible to our explanations of reality.
 All measurements yield finite numbers.  Infinite sets and
 infinitesimals are mathematical conveniences that avoid having to
 worry about how small is small enough and how big is too big.  Do
 you ever use infinite sets in computer science?
 
 Infinite sets and infinitesimals are a lot more than 'mathematical 
 conveniences'.  There are precise logical theories for these things 
 (As I mentioned before - Cantor worked out the theory of infinite 
 sets, Robinson/Conway worked out the theory of infinitesimals).

Being logically consistent and/or precise doesn't imply existence.  There are 
consistent theories in which there is a cardinality between the integers and 
the reals.  But there are also consistent theories which deny such a 
cardinality.  Does that mean some set exists with that cardinality or not?  

 A dislike of infinities characterized the early Greeks and pre 20th 
 century mathematicians.  It hindered the development of mathematics. 
 (Read the excellent books by Rudy Rucker).

I've read'em.  I don't dislike them - as I said calculus is a lot easier than 
finite differences.
 
 It's true that infinite sets are not used in comptuer science (which 
 is all about discrete/finite math) but beware of making assumptions 
 about reality purely on the basis of what can be measured ;)

If it can't be measured even indirectly, like an infinitesimal, then whether it 
is kept in your model of reality is mostly a matter of convenience.

 It has never been established that space is discrete (a point Stephen
 Hawking just recently was at pains to get across).  The supposed
 discreteness of space seems to be yet another dogma currently popular
 with computer scientists.

True, but neither is it clear that spacetime must be a continuum. 
 
 
 No, it's because reductionism is false.  We invented the
 concepts, but (as I mentioned in the previous post) for concepts
 which are useful there has to be at least a *partial* match
 between the information content of the concepts and the
 information content of reality. Therefore we can infer general
 things about reality from knowledge of this information content.
 Where informational content of our useful concepts is not
 computable, this tells us that there do exist physical things
 which also mimic this uncomputability (and hence reductionism is
 false).
 Or that our mapping is faulty and there a mathematical concepts
 that don't map to anything physical - which I think would be
 obvious since it has been shown that a mathematical system will
 always include undecidable propositions and such propositions or
 their negation can be added to create new, mutually inconsistent
 mathematical systems.
 
 
 I don't see that uncomputability or undecidability has any bearing on
  the issue of the mapping between the physical and mathematical.  In 
 the multiverse view, all possible mathematical systems could be 
 physically real.  'Physical' does not have to mean 'finite' or 
 'computable'.

But the multiverse view is anything but precise and logical.  Where are the 
multiverses?  What does it mean for them to be physically real - but 
undetectable and immeasurable?

 
 
 
 My reality theory is a three-level model of reality (as I
 mentioned earlier in the thread).  And QM is actually at the
 *highest* level of explanation!  This is the complete reverse of
 how QM is conventinally thought of.  It makes more sense of you
 think of the wave function of the whole universe.  Then you can
 how QM is actually the *highest level* (most abstract)
 explanation of reality.  Next level down are functional systems.
 Then the lowest level is the particle level.  All three of these
 levels of description are equally valid.  This is somewhat
 similair to Bohm's two-level interpretation (wave function at one
 level, particles the other level).  Only I have inserted a third 
 level into the scheme.  *Between* the QM wave level description
 (high level) and the aprticle level description (low level) is
 where I think the solution to the puzzle of consciousness may be
 found.
 But QM assumes a fixed background spacetime, which is inconsistent
 with general relativity - so one of them (or more likely both) are
 wrong.
 
 Brent Meeker
 
 There are *degrees* of rightness/wrongness.  Later successful
 theories of reality will still have to have some of the same features
 of the earlier theories in areas where the earlier theories were
 empirically proven.  

But the earlier theories were NOT empirically proven - they were found to hold 
over the observable