Re: The scope of physical law and its relationship to the substitution level

2015-06-12 Thread Bruno Marchal


On 10 Jun 2015, at 10:18, Bruce Kellett wrote:


Bruno Marchal wrote:

On 10 Jun 2015, at 00:37, Bruce Kellett wrote:

Bruno Marchal wrote:

On 09 Jun 2015, at 12:07, Bruce Kellett wrote:

Bruno Marchal wrote:

On 09 Jun 2015, at 07:40, Bruce Kellett wrote:


Given a set of axioms and some agreed rules of inference, the  
same results always follow, regardless of by whom or at what  
time the application is made. This is not what is usually  
referred to as kicking back. Johnson did not apply some  
axioms and rules of inference in answer to the idealists, he  
kicked a stone.

But people can kicked stone in dreams too.


But do they wake up with broken or bruised toes?

Do they ever wake up?


Solipsist!
That does not follow. Dreams can be shared, like with second-life  
video games, or the MWI.


The point was in your suggestion that dreamers might not wake --  
nothing to do with shared dreams. Shared dreams refer to a different  
form of dream -- as in I dream of winning the lottery.


The idea that our experience of life is just a dream leads to  
solipsism.


Very often indeed. My point was just that t is a common invalid move,  
and this can easily be understood in term of multi-user video game (to  
build the counter-example: not to pretend anything on what is real or  
not).
With computationalism, there is only shared dreaming, and so we never  
wake, but we can wake relatively to a layer of universality. Yet,  
empirically, we can be pretty sure that the quantum realities are at  
the bottom core of the physical reality.


Bruno





Bruce

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Re: The scope of physical law and its relationship to the substitution level

2015-06-12 Thread Bruno Marchal


On 10 Jun 2015, at 16:56, John Clark wrote:


On Tue, Jun 9, 2015  Kim Jones kimjo...@ozemail.com.au wrote:

 Surely it isn't a crime to be a solipsist. What's socially  
unacceptable about the belief that you are the only mind and that  
all other minds are you as well?


The crime is intellectual dishonesty. I don't believe anyone this  
side of a looney bin really believes in solipsism except when  
arguing on the internet or standing in front of a classroom full of  
sophomore philosophy students trying to sound provocative.



I agree. Solipsism is an ultra-pathetic thought, unless you interpret  
solipsism in Kim's sense, which is God solipsism, which logically does  
not only NOT making the other disappearing, but it makes the other  
like doppelganger à-la Washington/Moscow type, except that the split  
occurred a much longer time ago.
But I would not follow Kim to call that solipsism, which is usually  
the more naive idea that I am actually dreaming of the others, and  
that they are sort of zombie images.


Bruno




 John K Clark




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Re: The scope of physical law and its relationship to the substitution level

2015-06-12 Thread Bruno Marchal


On 10 Jun 2015, at 20:34, meekerdb wrote:


On 6/10/2015 12:55 AM, Bruno Marchal wrote:


On 09 Jun 2015, at 19:10, meekerdb wrote:


On 6/9/2015 12:34 AM, Bruno Marchal wrote:


On 08 Jun 2015, at 19:27, meekerdb wrote:


On 6/8/2015 1:03 AM, Bruno Marchal wrote:
Hence what I've called comp1 is the default materialist  
hypothesis (also known as the strong AI thesis, I think)


Comp1 is not comp, even if it is comp for a materialist: but  
that position is proved to be nonsense.


Comp is just I am a digitalizable machine.
String AI is the thesis that machine can think (be conscious).  
It does not logically entail comp. Machine can think, but does  
not need to be the only thinking entities. Gods and goddesses  
might be able to think too.


But in saying I am a digitalizable machine you implicitly  
assume that machine exists in the environment that you exist in.


That is not a problem. In arithmetic I will exist in infinities  
of environments, played by UMs (with and without oracles). Such  
existence are relative, and phenomenological.




It is this environment and your potential interaction with it  
that provides meaning to the digital thoughts of the machine.


I can agree with this. What does it change in the reasoning?


It undermines the MGA because it shows that whether a physical  
process instantiates a computation is a wholistic question, one  
whose answer is relative to the environment and interaction with  
that environment.  This means that isolating the movie graph and  
then showing that it is absurd to regard it as a computation is  
not a legitimate move.





The boolean graph contained the part of the simulation of the  
environment.


That doesn't solve the problem.  The simulation of the environment  
refers to the environment outside the simulation (that's why it's a  
simulation).  So if someone asks how the computation gets meaning  
the answer is contagious and extends indefinitely far in time and  
space.


Why. All those environment/brain situations are emulated infinitely  
often in arithmetic.
or you are placing something magical in the environment, or in the use  
of therm meaning.






Then the movie graph does not emulate a computation, and that is  
what lead to the absurdity.
Or you mean that the environment needs primitive matter, but then  
the boolean graph already does not the relevant computation.


I'm confused on that point.


I agree it is subtle. I am confused too on this, but the contrary  
would be astonishing. Consciousness and theology, in the comp frame is  
easy (as John K said), but not that easy.





Comp1 is the proposition that the brain can be replaced by a digital  
computer at some level of emulation.


OK. It can be replaced, in the physical reality, at the substitution  
level.






The brain's function must be Turing emulable.


At least those relevant for the relevant computations. OK.



But then after going through the argument to show that conscious  
thoughts, as computations,


Careful, you might associate consciousness to cpmputation, but  
actually, consciousness, like knowledge is associated to computations,  
but also to God (Truth).




exist independent of material processes, you somehow jump to the  
conclusion that neither conscious thoughts nor physical processes  
are Turing emulable (which is why I called those conclusions part of  
comp2).



This is because you are indetermined below your substitution level,  
and matter stabilizes on the FPI on a*all* computation. And  
consciousness is related to Truth, which is not even definable. I  
might say more later, if when going again through the step 7. It is  
not simple, and highly counter-intuitive, but it is important that  
people understand better the fact that arithmetic emulates the  
computations, beyond describing them. I have realized lately that this  
is not obvious for more than one people on this list.


Bruno





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Re: The scope of physical law and its relationship to the substitution level

2015-06-10 Thread Bruno Marchal


On 10 Jun 2015, at 03:35, Kim Jones wrote:





On 10 Jun 2015, at 9:09 am, LizR lizj...@gmail.com wrote:

On 10 June 2015 at 10:37, Bruce Kellett bhkell...@optusnet.com.au  
wrote:

Bruno Marchal wrote:

On 09 Jun 2015, at 12:07, Bruce Kellett wrote:

Bruno Marchal wrote:
On 09 Jun 2015, at 07:40, Bruce Kellett wrote:

Given a set of axioms and some agreed rules of inference, the same  
results always follow, regardless of by whom or at what time the  
application is made. This is not what is usually referred to as  
kicking back. Johnson did not apply some axioms and rules of  
inference in answer to the idealists, he kicked a stone.

But people can kicked stone in dreams too.

But do they wake up with broken or bruised toes?

Do they ever wake up?

Solipsist!

Another solipsist? Phew! I was worried I might be the only one.


Surely it isn't a crime to be a solipsist. What's socially  
unacceptable about the belief that you are the only mind and that  
all other minds are you as well?


I would not call that solipsism, which usually assert simply that the  
other mind simply does not exist. But OK. (Taking your sense).






Sounds to me like we should make AS IF this is true because it seems  
to be a way to get humans to respect each other more. Solipsism is a  
useful belief to maintain. It emphasises how alike we all are which  
leads to love of self and selves rather than emphsises our cosmetic  
differences which leads to war.


OK.

Bruno




Kim


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Re: The scope of physical law and its relationship to the substitution level

2015-06-10 Thread Bruno Marchal


On 09 Jun 2015, at 19:10, meekerdb wrote:


On 6/9/2015 12:34 AM, Bruno Marchal wrote:


On 08 Jun 2015, at 19:27, meekerdb wrote:


On 6/8/2015 1:03 AM, Bruno Marchal wrote:
Hence what I've called comp1 is the default materialist  
hypothesis (also known as the strong AI thesis, I think)


Comp1 is not comp, even if it is comp for a materialist: but  
that position is proved to be nonsense.


Comp is just I am a digitalizable machine.
String AI is the thesis that machine can think (be conscious). It  
does not logically entail comp. Machine can think, but does not  
need to be the only thinking entities. Gods and goddesses might  
be able to think too.


But in saying I am a digitalizable machine you implicitly assume  
that machine exists in the environment that you exist in.


That is not a problem. In arithmetic I will exist in infinities of  
environments, played by UMs (with and without oracles). Such  
existence are relative, and phenomenological.




It is this environment and your potential interaction with it that  
provides meaning to the digital thoughts of the machine.


I can agree with this. What does it change in the reasoning?


It undermines the MGA because it shows that whether a physical  
process instantiates a computation is a wholistic question, one  
whose answer is relative to the environment and interaction with  
that environment.  This means that isolating the movie graph and  
then showing that it is absurd to regard it as a computation is not  
a legitimate move.





The boolean graph contained the part of the simulation of the  
environment. Then the movie graph does not emulate a computation, and  
that is what lead to the absurdity.
Or you mean that the environment needs primitive matter, but then the  
boolean graph already does not the relevant computation.


Bruno






Brent

The point is that your generalized brain, as long as it is digital,  
cannot singularize your soul. If you don't add non Turing emulable  
magic in matter, the argument shows that matter has to arise from a  
statistics on all computations going through the current state. If  
not, could you say precisely when the proof go wrong?


Bruno





Brent

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Re: The scope of physical law and its relationship to the substitution level

2015-06-10 Thread Bruce Kellett

Bruno Marchal wrote:


On 10 Jun 2015, at 00:37, Bruce Kellett wrote:


Bruno Marchal wrote:

On 09 Jun 2015, at 12:07, Bruce Kellett wrote:

Bruno Marchal wrote:

On 09 Jun 2015, at 07:40, Bruce Kellett wrote:


Given a set of axioms and some agreed rules of inference, the same 
results always follow, regardless of by whom or at what time the 
application is made. This is not what is usually referred to as 
kicking back. Johnson did not apply some axioms and rules of 
inference in answer to the idealists, he kicked a stone.

But people can kicked stone in dreams too.


But do they wake up with broken or bruised toes?

Do they ever wake up?


Solipsist!


That does not follow. Dreams can be shared, like with second-life video 
games, or the MWI.


The point was in your suggestion that dreamers might not wake -- nothing 
to do with shared dreams. Shared dreams refer to a different form of 
dream -- as in I dream of winning the lottery.


The idea that our experience of life is just a dream leads to solipsism.

Bruce

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Re: The scope of physical law and its relationship to the substitution level

2015-06-10 Thread Bruno Marchal


On 09 Jun 2015, at 19:15, meekerdb wrote:


On 6/9/2015 12:46 AM, Bruno Marchal wrote:


On 08 Jun 2015, at 19:31, meekerdb wrote:


On 6/8/2015 1:03 AM, Bruno Marchal wrote:

or that maths exists independently of mathematicians.


That even just arithmetical truth is independent of  
mathematician. This is important because everyone agree with any  
axiomatic of the numbers, but that is not the case for analysis,  
real numbers, etc.


Everyone agrees on ZFC in the same sense.


Not at all. There are many non isomorphic approach to set theory  
and analysis. For the natural numbers, this does not occur. All  
theories have a clear standard model on which we all agree. As  
Gödel saw, even intuitionist arithmetic is isomorphic to classical  
arithmetic: it changes only the vocabulary.






  So does that make set theory and its consequences real?


It is a theory which explain too much. It is interesting for  
logicians. Nobody use it, really. people refers to it when  
confronted with possible paradoxes, but mathematicians avoid the  
paradoxes naturally, and the modern one will use some category or  
elementary toposes to fix the thing.


Read books on the subject. Arithmetic has a solidity status not  
obtained by analysis, or even geometry.Some use ZF + ~AC, ZF +  
kappa, or other will use NF (a very different set theory), or  
intuitionist ZF (quite different from ZF), or NBG, etc.


So what? That just makes my point that Platonia implies many  
different realities.  First order predicate logic is also a clear  
standard model.  So it must be as real as arithmetic.  And  
arithmetic isn't so complete as you imply - that's why negative  
numbers and fractions and reals were invented.



The first orrder theory of the real is complete. real numbers are an  
oversimplification of the natural numbers (integeres and rationals add  
nothing, with respect to computation). Robinson arithmetic is sigma_1  
complete (not complete). Arithmetical truth is trivially complete  
about arithmetic. No other notion of completeness is used.


Bruno





Brent

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Re: The scope of physical law and its relationship to the substitution level

2015-06-10 Thread Bruno Marchal


On 09 Jun 2015, at 19:25, meekerdb wrote:


On 6/9/2015 1:26 AM, Bruno Marchal wrote:


...

That can be useful in AI, and for natural language. But not in QED,  
string theory or theoretical computer science.


A rocket using water instead of hydrogen gas will not work. That  
does not refute that rockets can work.


cdfhjhhj.png

Brent :)



Lol :)

Bruno





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Re: The scope of physical law and its relationship to the substitution level

2015-06-10 Thread Bruno Marchal


On 10 Jun 2015, at 00:37, Bruce Kellett wrote:


Bruno Marchal wrote:

On 09 Jun 2015, at 12:07, Bruce Kellett wrote:

Bruno Marchal wrote:

On 09 Jun 2015, at 07:40, Bruce Kellett wrote:


Given a set of axioms and some agreed rules of inference, the  
same results always follow, regardless of by whom or at what  
time the application is made. This is not what is usually  
referred to as kicking back. Johnson did not apply some axioms  
and rules of inference in answer to the idealists, he kicked a  
stone.

But people can kicked stone in dreams too.


But do they wake up with broken or bruised toes?

Do they ever wake up?


Solipsist!


That does not follow. Dreams can be shared, like with second-life  
video games, or the MWI.


Bruno





Bruce

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Re: The scope of physical law and its relationship to the substitution level

2015-06-10 Thread John Clark
On Wed, Jun 10, 2015  LizR lizj...@gmail.com wrote:

 does a group mind refer to ourself or myselves ?


That depends on the speed of light and how far apart the individual brains
are. It they're far apart and it takes a long time to send a signal to
another brain relative to the time it takes to send internal signals in a
individual brain then it would be ourself. If they were closer together
and signaling took less time then it would be myself. It's all a question
of signal delay.

  John K Clark

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Re: The scope of physical law and its relationship to the substitution level

2015-06-10 Thread John Clark
On Tue, Jun 9, 2015  Kim Jones kimjo...@ozemail.com.au wrote:

 Surely it isn't a crime to be a solipsist. What's socially unacceptable
 about the belief that you are the only mind and that all other minds are
 you as well?


The crime is intellectual dishonesty. I don't believe anyone this side of a
looney bin really believes in solipsism except when arguing on the internet
or standing in front of a classroom full of sophomore philosophy students
trying to sound provocative.

 John K Clark

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Re: The scope of physical law and its relationship to the substitution level

2015-06-10 Thread Kim Jones




 On 10 Jun 2015, at 2:20 pm, LizR lizj...@gmail.com wrote:
 
 On 10 June 2015 at 15:23, Kim Jones kimjo...@ozemail.com.au wrote:
 Both. I'm exploring the concept of solipsism with a positive attitude. What 
 are the benefits? Your attempts at humour always hit the mark (with me.)
 
 Thanks! :)
  
 So yes, I don't think hurling 'solopsist!' at someone hurts them much. 
 It's basically abusing yourself, if you'll pardon the expression.
  
 So, solipsism is a plural phenomenon.
 
 I don't care if I am a solipsist, I'll always have each other. - Mini Me.
 
 Contrariwise, does a group mind refer to ourself or myselves ?
 

Interesting question. A corporation or an army or a religious sect or some 
other hive-mind entity might realistically refer to itself like this.

Thing is, corporations want us to think of them as individuals and to have 
similar rights. Somehow this is enshrined in corporate law. I am very 
interested in the group mind. I think this is where humanity's problems 
begin. Solipsism  is real only in the sense that the many minds are really the 
One Mind. But this One Mind exists in an enormous number of versions; 
duplications. The differing perspectives of each of the versions contributes to 
the overall consciousness, the Big Picture. Someone gets it.

Kim

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Re: The scope of physical law and its relationship to the substitution level

2015-06-10 Thread meekerdb

On 6/10/2015 12:55 AM, Bruno Marchal wrote:


On 09 Jun 2015, at 19:10, meekerdb wrote:


On 6/9/2015 12:34 AM, Bruno Marchal wrote:


On 08 Jun 2015, at 19:27, meekerdb wrote:


On 6/8/2015 1:03 AM, Bruno Marchal wrote:
Hence what I've called comp1 is the default materialist hypothesis (also known as 
the strong AI thesis, I think)


Comp1 is not comp, even if it is comp for a materialist: but that position is 
proved to be nonsense.


Comp is just I am a digitalizable machine.
String AI is the thesis that machine can think (be conscious). It does not logically 
entail comp. Machine can think, but does not need to be the only thinking entities. 
Gods and goddesses might be able to think too.


But in saying I am a digitalizable machine you implicitly assume that machine 
exists in the environment that you exist in.


That is not a problem. In arithmetic I will exist in infinities of environments, 
played by UMs (with and without oracles). Such existence are relative, and 
phenomenological.




It is this environment and your potential interaction with it that provides meaning 
to the digital thoughts of the machine.


I can agree with this. What does it change in the reasoning?


It undermines the MGA because it shows that whether a physical process instantiates a 
computation is a wholistic question, one whose answer is relative to the environment 
and interaction with that environment.  This means that isolating the movie graph and 
then showing that it is absurd to regard it as a computation is not a legitimate move.





The boolean graph contained the part of the simulation of the environment. 


That doesn't solve the problem.  The simulation of the environment refers to the 
environment outside the simulation (that's why it's a /simulation/).  So if someone asks 
how the computation gets meaning the answer is contagious and extends indefinitely far in 
time and space.


Then the movie graph does not emulate a computation, and that is what lead to the 
absurdity.
Or you mean that the environment needs primitive matter, but then the boolean graph 
already does not the relevant computation.


I'm confused on that point.  Comp1 is the proposition that the brain can be replaced by a 
digital computer at some level of emulation. The brain's function must be Turing 
emulable.  But then after going through the argument to show that conscious thoughts, as 
computations, exist independent of material processes, you somehow jump to the conclusion 
that neither conscious thoughts nor physical processes are Turing emulable (which is why I 
called those conclusions part of comp2).


Brent

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Re: The scope of physical law and its relationship to the substitution level

2015-06-10 Thread meekerdb

On 6/10/2015 7:56 AM, John Clark wrote:
On Tue, Jun 9, 2015  Kim Jones kimjo...@ozemail.com.au 
mailto:kimjo...@ozemail.com.au wrote:


 Surely it isn't a crime to be a solipsist. What's socially unacceptable 
about the belief that you are the only mind and that
all other minds are you as well?


The crime is intellectual dishonesty. I don't believe anyone this side of a looney bin 
really believes in solipsism except when arguing on the internet or standing in front of 
a classroom full of sophomore philosophy students trying to sound provocative.


I'm a solipsist and I'm surprised more philosophers aren't solipsists.
--- letter to Bertrand Russell

A solipsist is like the man who gave up turning round because
whatever he saw was always in front of him.
  --- Ernst Mach

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Re: The scope of physical law and its relationship to the substitution level

2015-06-10 Thread LizR
On 11 June 2015 at 10:50, meekerdb meeke...@verizon.net wrote:

  I'm a solipsist and I'm surprised more philosophers aren't solipsists.
 --- letter to Bertrand Russell


Phew, another solipsist! I was afraid I might be the only one.

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Re: The scope of physical law and its relationship to the substitution level

2015-06-09 Thread Bruno Marchal


On 09 Jun 2015, at 01:26, Bruce Kellett wrote:


LizR wrote:
On 9 June 2015 at 05:31, meekerdb meeke...@verizon.net mailto:meeke...@verizon.net 
 wrote:

   On 6/8/2015 1:03 AM, Bruno Marchal wrote:

   or that maths exists independently of mathematicians.
   That even just arithmetical truth is independent of  
mathematician.
   This is important because everyone agree with any axiomatic of  
the
   numbers, but that is not the case for analysis, real numbers,  
etc.

   Everyone agrees on ZFC in the same sense.  So does that make set
   theory and its consequences real? Reality isn't defined by what  
everyone agrees on. What makes ZFC (or whatever) real, or not, is  
whether it kicks back. Is it something that was invented, and could  
equally well have been invented differently, or was it discovered  
as a result of following a chain of logical reasoning from certain  
axioms?


Why do not those same arguments apply equally to arithmetic? What  
axioms led to arithmetic? Could one have chosen different axioms?


Take RA, PA, PA+con(PA), PA + con(PA + con PA), etc.  (con PA = PA is  
consistent), DA, etc.


All those theories leads to the same arithmetical truth. Each theory  
is just included in the next theory, but if one of them say that a  
proposition is a theorem, the negation of it will not be a theorem in  
any of them.


So there are many different theories of arithmetic, but they all  
describes the same structure.


That's not the case in set theory, where many different theories leads  
to different theorems.


Of course, by incompleteness, you could take the theory PA + ~con(PA).  
That theory will lead to new theorem, which are false in the standard  
model, but arithmetical truth is defined using the standard model. Non  
standard models have some interest, but not for comp or for number  
theory; unless when use indirectly, to make some argument non valid.


Bruno

I recall that RA = Robinson arithmetic: it has the following axioms  
(on the top of predicate calculus):


0 ≠ s(x) (= 0 is not the successor of a number)
s(x) = s(y) - x = y (different numbers have different successors)
x = 0 v Ey(x = s(y))(except for 0, all numbers have a predecessor)
x+0 = x  (if you add zero to a number, you get  
that number)
x+s(y) = s(x+y)  (if you add a number x to a successor of a number y,  
you get the successor of x added to y)

x*0=0   (if you multiply a number by 0, you get 0)
x*s(y)=(x*y)+x(exercise)

PA is RA + the induction axiom (on first order sentence).

DA is Dedekind Arithmetic: it is like PA, except you can throw out  
most axioms, as it has the very powerful second order full induction  
axioms (on all set of numbers). DA defines categorically the standard  
model, but is not an effective theory (you can't check all proofs, as  
the notion of set is too vague).


Bruno




Bruce

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Re: The scope of physical law and its relationship to the substitution level

2015-06-09 Thread Bruce Kellett

Bruno Marchal wrote:

On 09 Jun 2015, at 07:40, Bruce Kellett wrote:


Given a set of axioms and some agreed rules of inference, the same 
results always follow, regardless of by whom or at what time the 
application is made. This is not what is usually referred to as 
kicking back. Johnson did not apply some axioms and rules of 
inference in answer to the idealists, he kicked a stone.


But people can kicked stone in dreams too.


But do they wake up with broken or bruised toes?

Bruce

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Re: The scope of physical law and its relationship to the substitution level

2015-06-09 Thread Bruno Marchal


On 08 Jun 2015, at 19:31, meekerdb wrote:


On 6/8/2015 1:03 AM, Bruno Marchal wrote:

or that maths exists independently of mathematicians.


That even just arithmetical truth is independent of mathematician.  
This is important because everyone agree with any axiomatic of the  
numbers, but that is not the case for analysis, real numbers, etc.


Everyone agrees on ZFC in the same sense.


Not at all. There are many non isomorphic approach to set theory and  
analysis. For the natural numbers, this does not occur. All theories  
have a clear standard model on which we all agree. As Gödel saw, even  
intuitionist arithmetic is isomorphic to classical arithmetic: it  
changes only the vocabulary.






  So does that make set theory and its consequences real?


It is a theory which explain too much. It is interesting for  
logicians. Nobody use it, really. people refers to it when confronted  
with possible paradoxes, but mathematicians avoid the paradoxes  
naturally, and the modern one will use some category or elementary  
toposes to fix the thing.


Read books on the subject. Arithmetic has a solidity status not  
obtained by analysis, or even geometry.Some use ZF + ~AC, ZF + kappa,  
or other will use NF (a very different set theory), or intuitionist ZF  
(quite different from ZF), or NBG, etc.


Bruno




Brent

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Re: The scope of physical law and its relationship to the substitution level

2015-06-09 Thread Bruno Marchal


On 09 Jun 2015, at 02:37, LizR wrote:

On 9 June 2015 at 11:26, Bruce Kellett bhkell...@optusnet.com.au  
wrote:

LizR wrote:
Reality isn't defined by what everyone agrees on. What makes ZFC (or  
whatever) real, or not, is whether it kicks back. Is it something  
that was invented, and could equally well have been invented  
differently, or was it discovered as a result of following a chain  
of logical reasoning from certain axioms?


Why do not those same arguments apply equally to arithmetic? What  
axioms led to arithmetic? Could one have chosen different axioms?


The arguments do apply. The point is that once the axioms are  
chosen, the results that follow are not a matter of choice.  
Arithmetical truths appear to take the form if A, then  
(necessarily) B.


However, some of the elementary axioms (or even perhaps axions! :-)  
do appear to be demonstrated by nature - certain numerical  
quantities are (apparently) conserved in fundamental particle  
interactions, quantum fluctuations can only occur in ways that  
balance energy budgets, etc. So one could say that for anyone of a  
materialist persuasion, the assumptions of elementary arithmetic  
aren't unreasonable, at least (Bruno often mentions that comp only  
assumes some very simple arithmetical axioms - the existence of  
numbers and the correctness of addition and multiplication, I think)


So if you choose Peano arithmetic, then such-and-such follows, while  
if you choose modular arithmetic, something else follows. The  
kicking back part is simply the fact that the same result always  
follows from a given set of assumptions. To put it a bit more  
dramatically, an alien being in a different galaxy, or even in  
another universe, would still get the same results. Nature is  
telling us that given A, we always get B.



The difference is that for arithmetic (non modular arithmetic of the  
natural numbers), although there are many different axioms systems  
possible, either they have all the same theorems, or they are included  
in each other (one theory being just more powerful than another), but  
they all get the same theorems, when they get them. That is not true  
for set theory, where the theories can overlap, but also have  
different incompatible theorems.


For the comp TOE, we need only to assume a (Turing) universal theory:  
we get the same physics, the same consciousness, etc. The kicking back  
is done at the elementary finite combinatorial level. For set theory,  
you need transfinite induction, which is philosophically much more  
demanding.


Bruno








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Re: The scope of physical law and its relationship to the substitution level

2015-06-09 Thread Bruno Marchal


On 08 Jun 2015, at 19:37, meekerdb wrote:


On 6/8/2015 1:24 AM, Bruno Marchal wrote:


On 08 Jun 2015, at 06:31, LizR wrote (to Brent)

Note that Bruno rejects the conditioning on justified.  Plato's  
Theaetetus dialogue defines knowledge as true belief.  I think  
that's a deficiency in modal logic insofar as it's supposed to  
formalize good informal reasoning.  But I can see why it's done;  
it's difficult if not impossible to give formal definition of  
justified.


Yes.



See my answer to brent. The whole AUDA is made possible because we  
do have an excellent axiomatisation of justification.


It's an excellent axiomatization that relies on inference from  
axioms.  To say it formalizes good reasoning would mean that I would  
have to axiomatize vision before I could see anything.


It formalize any correct deduction that a system (like the guy talking  
with its digital doctors) can or cannot prove about itself in the 3p  
way.


We want to explain physics, and consciousness. We are not doing  
artificial intelligence. We try just to formulate the problem, and  
solve some part of it.


Bruno




Brent

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Re: The scope of physical law and its relationship to the substitution level

2015-06-09 Thread Bruno Marchal


On 09 Jun 2015, at 00:21, LizR wrote:

On 8 June 2015 at 16:22, Stathis Papaioannou stath...@gmail.com  
wrote:
It seems here that you've snuck an extra assumption into comp1. We  
know that brains can be conscious, and we assume that computations  
can also be conscious. But that doesn't mean that only computations  
can be conscious, nor does it mean that brains are computations.  
These two latter statements might be true, but they are not  
necessarily true, even given computationalism.


I may not have phrased it very well, but comp1 is the assumption  
that consciousness is based on computation, and can't be created by  
anything else (at least that's comp1 in a simple form - actually, I  
believe it's the assumption that at some level physics is Turing  
emulable).


At some level, the physics *required* for my consciousness will be.  
But comp predicts that physics is not Turing emulable. Physics is  
given by the FPI on the computations, and that is not computable (like  
the question: will i find up or down when looking at this  
superposition is also non computable).




On that basis, a brain must do computation (at some level), since  
it's conscious, and an AI could be conscious given the correct  
programme.


Yes, and more importantly, a recording is not conscious, as, if it is,  
you can no more say yes to a doctor for computation reason. If a  
recording can be conscious, why not a physical neuron? In thjat cse  
comp is false. We say yes to the doctor *qua computatio* (if not  
comp became spurious: we could say yes because we believe in the  
Virgin Mary power to resurrect us).


Bruno




(And what's wrong with sneaked ?)


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Re: The scope of physical law and its relationship to the substitution level

2015-06-09 Thread Bruno Marchal


On 09 Jun 2015, at 01:24, meekerdb wrote:


On 6/8/2015 4:13 PM, LizR wrote:

On 9 June 2015 at 05:29, meekerdb meeke...@verizon.net wrote:
On 6/8/2015 1:03 AM, Bruno Marchal wrote:


Hmm Let us be precise. That the computation take place in  
arithmetic is a mathematical fact that nobody doubt today. UDA  
explains only that we cannot use a notion of primitive matter for  
making  more real some computations in place  
of others. It makes the physics supervening on all computations  
in arithmetic.
But my computer does some computations and not others.  So there  
must be some sense in which some computations are real and others  
aren't.  Handwaving that they're all there in arithmetic proves too  
much.


I don't see that. Surely the problem is that it doesn't prove  
enough - assuming all computations exist (in some sense) in  
arithmetic, which I believe is trivially true to most  
mathematicians, how does this produce physics?


If you're going to use a comp style explanation, your computer  
isn't defining which computations are real, it's somehow being  
generated by all those abstract computations.


And all those abstract computations are also generating all possible  
instances of my computer computing all possible computations, plus  
many others which are not nomologically possible.  So when Bruno  
says we cannot use a notion of primitive matter for making more  
real some computations in place of others my question becomes,  
Ok, what can we use, because some computations ARE more real than  
others.


Some computations are more real relatively to some computations. But,  
each computations, like each number relation is as much real than any  
others.


Bruno





Brent

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Re: The scope of physical law and its relationship to the substitution level

2015-06-09 Thread Bruno Marchal


On 09 Jun 2015, at 07:40, Bruce Kellett wrote:


LizR wrote:
On 9 June 2015 at 11:26, Bruce Kellett bhkell...@optusnet.com.au mailto:bhkell...@optusnet.com.au 
 wrote:

   LizR wrote:
   Reality isn't defined by what everyone agrees on. What makes  
ZFC

   (or whatever) real, or not, is whether it kicks back. Is it
   something that was invented, and could equally well have been
   invented differently, or was it discovered as a result of
   following a chain of logical reasoning from certain axioms?
   Why do not those same arguments apply equally to arithmetic? What
   axioms led to arithmetic? Could one have chosen different axioms?
The arguments do apply. The point is that once the axioms are  
chosen, the results that follow are not a matter of choice.  
Arithmetical truths appear to take the form if A, then  
(necessarily) B.
However, some of the elementary axioms (or even perhaps axions! :-)  
do appear to be demonstrated by nature - certain numerical  
quantities are (apparently) conserved in fundamental particle  
interactions, quantum fluctuations can only occur in ways that  
balance energy budgets, etc.


Yes, exactly. That is why I would say that arithmetic is invented as  
a codification of our experience of the physical world. If we had  
chosen a set of axioms that did not reproduce the results of simple  
addition -- add two pebbles to the two already there, to give four  
in total -- then we would have abandoned that set of axioms long  
ago. Axiom systems are evaluated in terms of their utility, nothing  
else. In more advanced mathematics, utility might be measured in  
terms of simplicity and fruitfulness for further applications. But  
in the beginning, as with arithmetic and simple geometry/ 
trigonometry and so on, utility is measured entirely in terms of the  
applicability to the experienced physical world, and of the utility  
of the system in helping us live in that world.


But that concerns the way human discovered arithmetic, not its  
fundamental or not status.
Anyway, comp makes no sense if we have doubt about 2+2=4, or about the  
less trivial fact that there are universal diophantine polynomials, or  
that all natural numbers can be written as the sum of four squared  
integers, etc.






So one could say that for anyone of a materialist persuasion, the  
assumptions of elementary arithmetic aren't unreasonable, at least  
(Bruno often mentions that comp only assumes some very simple  
arithmetical axioms - the existence of numbers and the correctness  
of addition and multiplication, I think)
So if you choose Peano arithmetic, then such-and-such follows,  
while if you choose modular arithmetic, something else follows. The  
kicking back part is simply the fact that the same result always  
follows from a given set of assumptions.


Given a set of axioms and some agreed rules of inference, the same  
results always follow, regardless of by whom or at what time the  
application is made. This is not what is usually referred to as  
kicking back. Johnson did not apply some axioms and rules of  
inference in answer to the idealists, he kicked a stone.


But people can kicked stone in dreams too.






To put it a bit more dramatically, an alien being in a different  
galaxy, or even in another universe, would still get the same  
results. Nature is telling us that given A, we always get B.


Nature doesn't particularly tell us that. Rigorous application of  
the rules of inference to certain axioms tells us that. The physics  
might, after all, be different in a different universe, but using  
the same rules of inference on the same axioms will give the same  
result, regardless of the local physical laws.


Yes. Then with comp, physics is the same for all universal machine,  
and this can be proved in all (Turing complete) theories. Physics is  
made theory independent, except for assuming at least one universal  
system. Physics is very well grounded in arithmetic or Turing  
equivalent. It is made more solid that the extraoplation that we can  
do from observation. Of course comp might be wrong, and that is why it  
is nice that it becomes testable.


Bruno




Bruce

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Re: The scope of physical law and its relationship to the substitution level

2015-06-09 Thread Bruno Marchal


On 09 Jun 2015, at 04:00, meekerdb wrote:


On 6/8/2015 4:16 PM, LizR wrote:

On 9 June 2015 at 05:31, meekerdb meeke...@verizon.net wrote:
On 6/8/2015 1:03 AM, Bruno Marchal wrote:

or that maths exists independently of mathematicians.
That even just arithmetical truth is independent of mathematician.  
This is important because everyone agree with any axiomatic of the  
numbers, but that is not the case for analysis, real numbers, etc.
Everyone agrees on ZFC in the same sense.  So does that make set  
theory and its consequences real?


Reality isn't defined by what everyone agrees on.


Tell it to Bruno, I was just following him.


I don't define reality at all, but I do show that with comp,  
arithmetical truth is enough, ontologically.







What makes ZFC (or whatever) real, or not, is whether it kicks back.


Mathematics doesn't kick back - except metaphorically.


Well, then it is an open problem if physics kick back in any non  
metaphorical sense.
With computationalism, math kick back by leading mathematical entity  
toi believe in non mathematical kicking back stuff.







Is it something that was invented, and could equally well have been  
invented differently, or was it discovered as a result of following  
a chain of logical reasoning from certain axioms?


I'd say ZFC and arithmetic were both invented and then an  
axiomatization was invented for each of them.  I'm not sure what  
invented differently means?...getting to the same axiomatization  
by a different historical path?  Or inventing something similar, but  
not identical, as ZF is different from ZFC.


There is only one standard model of arithmetic. There are no well  
defined standard models of ZF. The notion is controversial.
You said all computations explain too much, which is NOT the case (it  
leads may be to a too much big problem). But set theory explains too  
much, and flatten the higher order notion too strongly.


Bruno








Brent

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Re: The scope of physical law and its relationship to the substitution level

2015-06-09 Thread Bruno Marchal


On 09 Jun 2015, at 04:10, Stathis Papaioannou wrote:




On Tuesday, June 9, 2015, LizR lizj...@gmail.com wrote:
On 8 June 2015 at 16:22, Stathis Papaioannou stath...@gmail.com  
wrote:
It seems here that you've snuck an extra assumption into comp1. We  
know that brains can be conscious, and we assume that computations  
can also be conscious. But that doesn't mean that only computations  
can be conscious, nor does it mean that brains are computations.  
These two latter statements might be true, but they are not  
necessarily true, even given computationalism.


I may not have phrased it very well, but comp1 is the assumption  
that consciousness is based on computation, and can't be created by  
anything else (at least that's comp1 in a simple form - actually, I  
believe it's the assumption that at some level physics is Turing  
emulable). On that basis, a brain must do computation (at some  
level), since it's conscious, and an AI could be conscious given the  
correct programme.


There are two good justifications for computationalism that I can  
think of. One is the evolutionary one: that consciousness produces  
no effects of its own, so must be a side-effect of intelligent  
behaviour. The other is Chalmers' fading qualia argument. Neither of  
these justifications make a case for computation *exclusively* being  
responsible for consciousness. That is an added assumption, and at  
least in the first instance seems unnecessary.


In science we use the axiom available, and here, comp loses its  
meaning if the survival is not supposed to be due to the computation.  
If not, even step one does no more follow. I might surivive with an  
artificial brain thanks to the Virgin Mary, but she might dislike the  
use of classical transportation, and so would not survive it. I sum  
this by the qua computatio condition. You can see it as linking the  
survival to only the computation. My definition of comp is already  
very weak, compared to most of thoise use in the literature. Without  
qua computatio, comp becomes so weak that it becomes trivial.


Bruno



(And what's wrong with sneaked ?)

I was trying to be faintly amusing, but I see that snuck may have  
sneaked into the language:


 http://dictionary.reference.com/help/faq/language/g08.html

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Re: The scope of physical law and its relationship to the substitution level

2015-06-09 Thread Bruno Marchal


On 09 Jun 2015, at 07:21, meekerdb wrote:


On 6/8/2015 7:30 PM, LizR wrote:

On 9 June 2015 at 14:00, meekerdb meeke...@verizon.net wrote:
On 6/8/2015 4:16 PM, LizR wrote:

On 9 June 2015 at 05:31, meekerdb meeke...@verizon.net wrote:
On 6/8/2015 1:03 AM, Bruno Marchal wrote:

or that maths exists independently of mathematicians.
That even just arithmetical truth is independent of  
mathematician. This is important because everyone agree with any  
axiomatic of the numbers, but that is not the case for analysis,  
real numbers, etc.
Everyone agrees on ZFC in the same sense.  So does that make set  
theory and its consequences real?


Reality isn't defined by what everyone agrees on.


Tell it to Bruno, I was just following him.

If it was then the religious majority throughout history would have  
been right.

What makes ZFC (or whatever) real, or not, is whether it kicks back.

Mathematics doesn't kick back - except metaphorically.

Are you claiming an alien in another galaxy wouldn't find that  
arithmetic works?


No.  Is that what you mean by kicks back?

I'm not making any metaphysical claims about the status of maths,  
merely saying that most mathematicians would, I think, agree that  
two people working independently can make the same mathematical  
discovery by different routes, and that some maths has real-world  
applications, and that  when it does, it works.


Arithmetic is a hard example to discuss because it is so simple and  
probably even hardwired into our thinking by evolution (crows can  
supposedly add and subtract up to six), but it's not really so  
inevitable as it seems. In order to count you have to discern  
distinct objects and group them in imagination into a whole: So you  
count the players on a college football team (U.S.) and you get  
105.  Then you count the number on the basketball team of the same  
school, 35, and you add them to the football team you get 140 - but  
that may well be wrong.  Of course you will say that's just a  
misapplication; but that's the point, that arithmetic is an  
abstraction that is invented to apply to certain cases and it is no  
more out there than other aspects of language.  I agree that it's  
hard to imagine an intelligent species that doesn't perceive  
discrete countable objects and didn't invent arithmetic to describe  
them; maybe some plasma being on the surface of the the Sun that  
thinks only in continua.


We need the natural number to just define computationalism, Church  
thesis, etc. Once you believe in different natural numbers, then you  
must explain them, and see if the existence of your notion is  
threatening comp, and how. If not, you can imagine anything to avoid  
any consequences of any theory.






(But I'm not sure how much kicking back you need from something,  
maybe being independently discoverable and working isn't enough?)
Is it something that was invented, and could equally well have  
been invented differently, or was it discovered as a result of  
following a chain of logical reasoning from certain axioms?
I'd say ZFC and arithmetic were both invented and then an  
axiomatization was invented for each of them.  I'm not sure what  
invented differently means?...getting to the same axiomatization  
by a different historical path?  Or inventing something similar,  
but not identical, as ZF is different from ZFC.


It means that two people starting from the same axioms and using  
the same system of logic came up with two different results (and  
neither made a mistake).


That would mean either the axiom system was inconsistent or there  
was a mistake in logic.  Note that Graham Priest has written several  
books on para-consistent logics, ones in which there can be  
contradictions but don't support ex falso quodlibet.


That can be useful in AI, and for natural language. But not in QED,  
string theory or theoretical computer science.


A rocket using water instead of hydrogen gas will not work. That does  
not refute that rockets can work.


Bruno




If within a given system A always leads to B, then it's reasonable  
to say B is discovered - like, for example, a certain endgame in  
chess leading to a particular set of possible conclusions.


?? At first reading I thought you meant A logically implies B, which  
means B is implicit in A. And so I thought the example was a chess  
endgame in which every move is forced (except resignation), A  
wouldbe the board position and B the sequence of endgame moves.   
But then you say B is a set of possible conclusions.  Since chess is  
a finite game the starting position already leads to a set of  
possible conclusions.


But if within a system A can lead to B, C, D etc then it's  
reasonable to say it's invented,


So does the fact that Peano arithmetic lead to many different  
theorems mean it's invented?  Does the fact that it's incomplete and  
can have infinitely many new axioms added to it mean it's invented?


I don't think your 

Re: The scope of physical law and its relationship to the substitution level

2015-06-09 Thread Kim Jones

 On 9 Jun 2015, at 8:07 pm, Bruce Kellett bhkell...@optusnet.com.au wrote:
 
 Bruno Marchal wrote:
 On 09 Jun 2015, at 07:40, Bruce Kellett wrote:
 
 Given a set of axioms and some agreed rules of inference, the same results 
 always follow, regardless of by whom or at what time the application is 
 made. This is not what is usually referred to as kicking back. Johnson 
 did not apply some axioms and rules of inference in answer to the 
 idealists, he kicked a stone.
 But people can kicked stone in dreams too.
 
 But do they wake up with broken or bruised toes?
 
 Bruce
 


Often, yes. Dial up a few YouTube clips of people doing embarrassing and, yes, 
injurious things while under the influence of the “mistaken belief system we 
call sleep” aka sleepwalking or nocturnal ambulatory syndrome or whatever.

Afer that you can watch the clip of the dog running while asleep and taking off 
into a bloody brick wall after which it “wakes up to the real world”.

You only have to believe that you are awake or asleep. You will always believe 
what you tell yourself.

The point of Bruno’s “people can kick stones in dreams too” is to acknowledge 
that consciousness cannot be extinguished with cheap excuses like being asleep 
or dead.

Kim

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Re: The scope of physical law and its relationship to the substitution level

2015-06-09 Thread Bruno Marchal


On 08 Jun 2015, at 18:40, John Clark wrote:


On Mon, Jun 8, 2015  Bruno Marchal marc...@ulb.ac.be wrote:
 that is enough to conceive the set of the Gödel number of true  
sentences of arithmetic, and prove theorems about that set. That  
set can be defined in standard set theory


 YOU CAN'T MAKE A COMPUTATION WITH A DEFINITION!


 I can do better.

You can't do better than a demonstration! Just make one calculation  
without using matter that obeys the laws of physics and you've won  
and this debate is over.


To make it physically is impossible, but I have already explain that  
it is not relevant. The point is that those computations exist in  
arithmetic, with the relevant redundancies and quantum quantization.
Your argument, if valid, would forbid any notion of block universe.  
You would ask show me a working clock capable of giveing me the time  
right now with a block universe. The solution is of course that time  
and space, here and now, are treated by the self-referential  
indexical. This has been explained, so you should quote the  
explanation if you don't grasp them.





 I can prove their existence in arithmetic.

Nobody denies that true statements exist in arithmetic,


But the I was not saying that. I was saying that computations exist  
is a true statement in the language of pure arithmetic, and that such  
statement are independent of the physical laws.



but the trouble is false ones do too, and the only way known to sort  
one from the other is to use matter that obeys the laws of physics  
to make a calculation.


We don't have to sort them. We have to separate them, and as you agree  
with the excluded middle problem, this is simple math.





 You forget to put yourself at the place of each continuators, and  
analyse their first person discourses.


And you forgot that when creating thought experiments designed to  
illuminate aspects of personal identity


I think that you have repeated this lie more than ten times. The  
personal identity aspect needed is in the definition of the 1p and 3p  
views given with the diaries. The thought experiements are used to  
explain that physics becomes a branch of machine theology, not to add  
anything that we don't know already on personal identity.





you can't talk about yourself and use personal pronouns in a  
casual willy nilly manner as you do in everyday life!


That is why I have introduced the key notion of 1p, 3p, 31p, in UDA,  
and that I tranbslate them with the intensional variants in the  
translation in arithmetic. That has been done, verified, and it works.  
Only you are using fuzzy pronouns here, in an argument easily refuted.  
You deny this, but nobody grasp why.



Bruno







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Re: The scope of physical law and its relationship to the substitution level

2015-06-09 Thread Bruno Marchal


On 08 Jun 2015, at 19:29, meekerdb wrote:


On 6/8/2015 1:03 AM, Bruno Marchal wrote:


Hmm Let us be precise. That the computation take place in  
arithmetic is a mathematical fact that nobody doubt today. UDA  
explains only that we cannot use a notion of primitive matter for  
making more real some computations in place of others. It makes  
the physics supervening on all computations in arithmetic.


But my computer does some computations and not others.


Not just yours. Mine too, and all those existing in arithmetic do - 
some computations and not others.




So there must be some sense in which some computations are real and  
others aren't.


It is the indexical sense, like in a block universe.



Handwaving that they're all there in arithmetic proves too much.


This is not proposed as an explanation, but as a mathematical fact  
that we have to deal with. Then it is welcome as it explains, without  
using observation, why nature looks like the MWI. This predicts  
Everett QM, both intuitively (UDA) and formally (AUDA).


Bruno






Brent

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Re: The scope of physical law and its relationship to the substitution level

2015-06-09 Thread Bruno Marchal


On 08 Jun 2015, at 19:27, meekerdb wrote:


On 6/8/2015 1:03 AM, Bruno Marchal wrote:
Hence what I've called comp1 is the default materialist hypothesis  
(also known as the strong AI thesis, I think)


Comp1 is not comp, even if it is comp for a materialist: but that  
position is proved to be nonsense.


Comp is just I am a digitalizable machine.
String AI is the thesis that machine can think (be conscious). It  
does not logically entail comp. Machine can think, but does not  
need to be the only thinking entities. Gods and goddesses might be  
able to think too.


But in saying I am a digitalizable machine you implicitly assume  
that machine exists in the environment that you exist in.


That is not a problem. In arithmetic I will exist in infinities of  
environments, played by UMs (with and without oracles). Such existence  
are relative, and phenomenological.




 It is this environment and your potential interaction with it that  
provides meaning to the digital thoughts of the machine.


I can agree with this. What does it change in the reasoning? The point  
is that your generalized brain, as long as it is digital, cannot  
singularize your soul. If you don't add non Turing emulable magic in  
matter, the argument shows that matter has to arise from a statistics  
on all computations going through the current state. If not, could you  
say precisely when the proof go wrong?


Bruno





Brent

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Re: The scope of physical law and its relationship to the substitution level

2015-06-09 Thread John Clark
On Mon, Jun 8, 2015  Bruce Kellett bhkell...@optusnet.com.au wrote:

 What axioms led to arithmetic?


The Peano axioms. They were chosen because they are very simple and self
evident. You need to be very conservative when picking axioms, for example
we could just add the Goldbach Conjecture as an axiom, but then if a
computer found a even number that was NOT the sum of 2 primes it would
render all mathematical work done after the addition of the Goldbach axiom
gibberish.   Or take Zermelo–Fraenkel set theory (ZFC) and the Continuum
Hypothesis which says that there is no infinite number greater than the
number of integers but less than the number of Real Numbers;  in 1940 Godel
showed that ZFC cannot prove the Continuum Hypothesis to be incorrect, and
in 1963 Paul Cohen showed that ZFC cannot prove the Continuum Hypothesis to
be correct either. So ZFC has nothing to say about the Continuum Hypothesis
one way or the other. You could just add an axiom to ZFC saying the
Continuum Hypothesis is true  but you could just as easily add  the
Continuum Hypothesis is NOT true, so which one do you add? The  problem is
that neither of these axioms are simple and neither are self evident.


  Could one have chosen different axioms?


It's never a good idea to change axioms unless somebody finds a set of
axioms that are even simpler and even more self evident.

 John K Clark

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Re: The scope of physical law and its relationship to the substitution level

2015-06-09 Thread meekerdb

On 6/9/2015 12:46 AM, Bruno Marchal wrote:


On 08 Jun 2015, at 19:31, meekerdb wrote:


On 6/8/2015 1:03 AM, Bruno Marchal wrote:

or that maths exists independently of mathematicians.


That even just arithmetical truth is independent of mathematician. This is important 
because everyone agree with any axiomatic of the numbers, but that is not the case for 
analysis, real numbers, etc.


Everyone agrees on ZFC in the same sense.


Not at all. There are many non isomorphic approach to set theory and analysis. For the 
natural numbers, this does not occur. All theories have a clear standard model on which 
we all agree. As Gödel saw, even intuitionist arithmetic is isomorphic to classical 
arithmetic: it changes only the vocabulary.






  So does that make set theory and its consequences real?


It is a theory which explain too much. It is interesting for logicians. Nobody use it, 
really. people refers to it when confronted with possible paradoxes, but mathematicians 
avoid the paradoxes naturally, and the modern one will use some category or elementary 
toposes to fix the thing.


Read books on the subject. Arithmetic has a solidity status not obtained by analysis, or 
even geometry.Some use ZF + ~AC, ZF + kappa, or other will use NF (a very different set 
theory), or intuitionist ZF (quite different from ZF), or NBG, etc.


So what? That just makes my point that Platonia implies many different realities.  First 
order predicate logic is also a clear standard model.  So it must be as real as 
arithmetic.  And arithmetic isn't so complete as you imply - that's why negative numbers 
and fractions and reals were invented.


Brent

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Re: The scope of physical law and its relationship to the substitution level

2015-06-09 Thread meekerdb

On 6/9/2015 12:34 AM, Bruno Marchal wrote:


On 08 Jun 2015, at 19:27, meekerdb wrote:


On 6/8/2015 1:03 AM, Bruno Marchal wrote:
Hence what I've called comp1 is the default materialist hypothesis (also known as the 
strong AI thesis, I think)


Comp1 is not comp, even if it is comp for a materialist: but that position is proved 
to be nonsense.


Comp is just I am a digitalizable machine.
String AI is the thesis that machine can think (be conscious). It does not logically 
entail comp. Machine can think, but does not need to be the only thinking entities. 
Gods and goddesses might be able to think too.


But in saying I am a digitalizable machine you implicitly assume that machine exists 
in the environment that you exist in.


That is not a problem. In arithmetic I will exist in infinities of environments, played 
by UMs (with and without oracles). Such existence are relative, and phenomenological.




 It is this environment and your potential interaction with it that provides meaning to 
the digital thoughts of the machine.


I can agree with this. What does it change in the reasoning? 


It undermines the MGA because it shows that whether a physical process instantiates a 
computation is a wholistic question, one whose answer is relative to the environment and 
interaction with that environment.  This means that isolating the movie graph and then 
showing that it is absurd to regard it as a computation is not a legitimate move.


Brent

The point is that your generalized brain, as long as it is digital, cannot singularize 
your soul. If you don't add non Turing emulable magic in matter, the argument shows that 
matter has to arise from a statistics on all computations going through the current 
state. If not, could you say precisely when the proof go wrong?


Bruno





Brent

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Re: The scope of physical law and its relationship to the substitution level

2015-06-09 Thread Bruno Marchal


On 09 Jun 2015, at 18:59, John Clark wrote:


On Mon, Jun 8, 2015  Bruce Kellett bhkell...@optusnet.com.au wrote:

 What axioms led to arithmetic?

The Peano axioms.


Or the Robinson axiom, or many other systems. but they don't disagree  
on any formula. Even the theories having weird axioms like PA is  
inconsistent will not disagree on what they say for the standard  
natural numbers. They disagree only on religion, somehow.




They were chosen because they are very simple and self evident. You  
need to be very conservative when picking axioms, for example we  
could just add the Goldbach Conjecture as an axiom, but then if a  
computer found a even number that was NOT the sum of 2 primes it  
would render all mathematical work done after the addition of the  
Goldbach axiom gibberish.   Or take Zermelo–Fraenkel set theory  
(ZFC)


Well, that is Zermelo–Fraenkel set theory + the axiom of choice.


and the Continuum Hypothesis which says that there is no infinite  
number greater than the number of integers but less than the number  
of Real Numbers;  in 1940 Godel showed that ZFC cannot prove the  
Continuum Hypothesis to be incorrect, and in 1963 Paul Cohen showed  
that ZFC cannot prove the Continuum Hypothesis to be correct either.  
So ZFC has nothing to say about the Continuum Hypothesis one way or  
the other. You could just add an axiom to ZFC saying the Continuum  
Hypothesis is true  but you could just as easily add  the  
Continuum Hypothesis is NOT true, so which one do you add? The   
problem is that neither of these axioms are simple and neither are  
self evident.


 Could one have chosen different axioms?

It's never a good idea to change axioms unless somebody finds a set  
of axioms that are even simpler and even more self evident.



It depends what we need. RA is interesting because it is the simple  
essentially undecidable theory. Take any of its axioms,


0 ≠ s(x)
s(x) = s(y) - x = y
x = 0 v Ey(x = s(y))
x+0 = x
x+s(y) = s(x+y)
x*0=0
x*s(y)=(x*y)+x

and remove it. You get a theory which is undecidable, but not  
*essentially* undecidable. It means you can extend those subtheories  
into decidable theories, like the theory of real numbers. But RA is  
already essentially undecidable: all its consistent effective (RE)  
extensions are undecidable and incomplete (with respect to  
arithmetical truth).


But RA cannot prove many things. It is simple to see that 0 + x = x is  
undecidable in RA. And RA is not Löbian. It is Turing universal, but  
cannot prove it, unlike PA, ZF, ZFC, ZF+kappa, etc.


Once Löbian, they get the same theology, and the same testable comp  
physics.


Note that ZF and ZFC proves the same formula of arithmetic.

Bruno





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Re: The scope of physical law and its relationship to the substitution level

2015-06-09 Thread Bruno Marchal


On 09 Jun 2015, at 12:07, Bruce Kellett wrote:


Bruno Marchal wrote:

On 09 Jun 2015, at 07:40, Bruce Kellett wrote:


Given a set of axioms and some agreed rules of inference, the same  
results always follow, regardless of by whom or at what time the  
application is made. This is not what is usually referred to as  
kicking back. Johnson did not apply some axioms and rules of  
inference in answer to the idealists, he kicked a stone.

But people can kicked stone in dreams too.


But do they wake up with broken or bruised toes?


Do they ever wake up?

Bruno




Bruce

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Re: The scope of physical law and its relationship to the substitution level

2015-06-09 Thread meekerdb

On 6/9/2015 1:26 AM, Bruno Marchal wrote:


...

That can be useful in AI, and for natural language. But not in QED, string theory or 
theoretical computer science.


A rocket using water instead of hydrogen gas will not work. That does not refute that 
rockets can work.




Brent :)

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Re: The scope of physical law and its relationship to the substitution level

2015-06-09 Thread LizR
On 10 June 2015 at 10:37, Bruce Kellett bhkell...@optusnet.com.au wrote:

 Bruno Marchal wrote:


 On 09 Jun 2015, at 12:07, Bruce Kellett wrote:

  Bruno Marchal wrote:

 On 09 Jun 2015, at 07:40, Bruce Kellett wrote:


 Given a set of axioms and some agreed rules of inference, the same
 results always follow, regardless of by whom or at what time the
 application is made. This is not what is usually referred to as kicking
 back. Johnson did not apply some axioms and rules of inference in answer
 to the idealists, he kicked a stone.

 But people can kicked stone in dreams too.


 But do they wake up with broken or bruised toes?


 Do they ever wake up?


 Solipsist!

 Another solipsist? Phew! I was worried I might be the only one.

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Re: The scope of physical law and its relationship to the substitution level

2015-06-09 Thread Bruce Kellett

Bruno Marchal wrote:


On 09 Jun 2015, at 12:07, Bruce Kellett wrote:


Bruno Marchal wrote:

On 09 Jun 2015, at 07:40, Bruce Kellett wrote:


Given a set of axioms and some agreed rules of inference, the same 
results always follow, regardless of by whom or at what time the 
application is made. This is not what is usually referred to as 
kicking back. Johnson did not apply some axioms and rules of 
inference in answer to the idealists, he kicked a stone.

But people can kicked stone in dreams too.


But do they wake up with broken or bruised toes?


Do they ever wake up?


Solipsist!

Bruce

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Re: The scope of physical law and its relationship to the substitution level

2015-06-09 Thread LizR
On 10 June 2015 at 13:35, Kim Jones kimjo...@ozemail.com.au wrote:

 On 10 Jun 2015, at 9:09 am, LizR lizj...@gmail.com wrote:

 On 10 June 2015 at 10:37, Bruce Kellett bhkell...@optusnet.com.au wrote:

 Bruno Marchal wrote:


 On 09 Jun 2015, at 12:07, Bruce Kellett wrote:

  Bruno Marchal wrote:

 On 09 Jun 2015, at 07:40, Bruce Kellett wrote:


 Given a set of axioms and some agreed rules of inference, the same
 results always follow, regardless of by whom or at what time the
 application is made. This is not what is usually referred to as kicking
 back. Johnson did not apply some axioms and rules of inference in answer
 to the idealists, he kicked a stone.

 But people can kicked stone in dreams too.


 But do they wake up with broken or bruised toes?


 Do they ever wake up?


 Solipsist!

 Another solipsist? Phew! I was worried I might be the only one.


 Surely it isn't a crime to be a solipsist. What's socially unacceptable
 about the belief that you are the only mind and that all other minds are
 you as well?


I'm not sure if you're asnwering my attempt at humour or Bruce's apparent
use of Solipsist! as an insult.

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Re: The scope of physical law and its relationship to the substitution level

2015-06-09 Thread Kim Jones



 On 10 Jun 2015, at 9:09 am, LizR lizj...@gmail.com wrote:
 
 On 10 June 2015 at 10:37, Bruce Kellett bhkell...@optusnet.com.au wrote:
 Bruno Marchal wrote:
 
 On 09 Jun 2015, at 12:07, Bruce Kellett wrote:
 
 Bruno Marchal wrote:
 On 09 Jun 2015, at 07:40, Bruce Kellett wrote:
 
 Given a set of axioms and some agreed rules of inference, the same 
 results always follow, regardless of by whom or at what time the 
 application is made. This is not what is usually referred to as kicking 
 back. Johnson did not apply some axioms and rules of inference in 
 answer to the idealists, he kicked a stone.
 But people can kicked stone in dreams too.
 
 But do they wake up with broken or bruised toes?
 
 Do they ever wake up?
 
 Solipsist!
 Another solipsist? Phew! I was worried I might be the only one. 

Surely it isn't a crime to be a solipsist. What's socially unacceptable about 
the belief that you are the only mind and that all other minds are you as 
well? 

Sounds to me like we should make AS IF this is true because it seems to be a 
way to get humans to respect each other more. Solipsism is a useful belief to 
maintain. It emphasises how alike we all are which leads to love of self and 
selves rather than emphsises our cosmetic differences which leads to war.

Kim

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Re: The scope of physical law and its relationship to the substitution level

2015-06-09 Thread Kim Jones




 On 10 Jun 2015, at 11:53 am, LizR lizj...@gmail.com wrote:
 
 On 10 June 2015 at 13:35, Kim Jones kimjo...@ozemail.com.au wrote:
 On 10 Jun 2015, at 9:09 am, LizR lizj...@gmail.com wrote:
 On 10 June 2015 at 10:37, Bruce Kellett bhkell...@optusnet.com.au wrote:
 Bruno Marchal wrote:
 
 On 09 Jun 2015, at 12:07, Bruce Kellett wrote:
 
 Bruno Marchal wrote:
 On 09 Jun 2015, at 07:40, Bruce Kellett wrote:
 
 Given a set of axioms and some agreed rules of inference, the same 
 results always follow, regardless of by whom or at what time the 
 application is made. This is not what is usually referred to as 
 kicking back. Johnson did not apply some axioms and rules of 
 inference in answer to the idealists, he kicked a stone.
 But people can kicked stone in dreams too.
 
 But do they wake up with broken or bruised toes?
 
 Do they ever wake up?
 
 Solipsist!
 Another solipsist? Phew! I was worried I might be the only one. 
 
 Surely it isn't a crime to be a solipsist. What's socially unacceptable 
 about the belief that you are the only mind and that all other minds are 
 you as well? 
 
 I'm not sure if you're asnwering my attempt at humour or Bruce's apparent use 
 of Solipsist! as an insult.

Both. I'm exploring the concept of solipsism with a positive attitude. What are 
the benefits? Your attempts at humour always hit the mark (with me.) So yes, I 
don't think hurling 'solopsist!' at someone hurts them much. 

So, solipsism is a plural phenomenon.

I don't care if I am a solipsist, I'll always have each other. - Mini Me.

K

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Re: The scope of physical law and its relationship to the substitution level

2015-06-09 Thread LizR
On 10 June 2015 at 15:23, Kim Jones kimjo...@ozemail.com.au wrote:

 Both. I'm exploring the concept of solipsism with a positive attitude.
 What are the benefits? Your attempts at humour always hit the mark (with
 me.)


Thanks! :)


 So yes, I don't think hurling 'solopsist!' at someone hurts them much.

 It's basically abusing yourself, if you'll pardon the expression.


 So, solipsism is a plural phenomenon.

 I don't care if I am a solipsist, I'll always have each other. - Mini Me.


Contrariwise, does a group mind refer to ourself or myselves ?

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Re: The scope of physical law and its relationship to the substitution level

2015-06-08 Thread meekerdb

On 6/8/2015 1:03 AM, Bruno Marchal wrote:


Hmm Let us be precise. That the computation take place in arithmetic is a 
mathematical fact that nobody doubt today. UDA explains only that we cannot use a notion 
of primitive matter for making more real some computations in place of others. It 
makes the physics supervening on all computations in arithmetic.


But my computer does some computations and not others.  So there must be some sense in 
which some computations are real and others aren't.  Handwaving that they're all there in 
arithmetic proves too much.


Brent

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Re: The scope of physical law and its relationship to the substitution level

2015-06-08 Thread meekerdb

On 6/8/2015 1:03 AM, Bruno Marchal wrote:
Hence what I've called comp1 is the default materialist hypothesis (also known as the 
strong AI thesis, I think)


Comp1 is not comp, even if it is comp for a materialist: but that position is proved 
to be nonsense.


Comp is just I am a digitalizable machine.
String AI is the thesis that machine can think (be conscious). It does not logically 
entail comp. Machine can think, but does not need to be the only thinking entities. Gods 
and goddesses might be able to think too.


But in saying I am a digitalizable machine you implicitly assume that machine exists in 
the environment that you exist in.  It is this environment and your potential interaction 
with it that provides meaning to the digital thoughts of the machine.


Brent

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Re: The scope of physical law and its relationship to the substitution level

2015-06-08 Thread meekerdb

On 6/8/2015 1:24 AM, Bruno Marchal wrote:


On 08 Jun 2015, at 06:31, LizR wrote (to Brent)


Note that Bruno rejects the conditioning on justified.  
Plato'sTheaetetusdialogue
defines knowledge as true belief.  I think that's a deficiency in modal 
logic
insofar as it's supposed to formalize good informal reasoning.  But I can 
see why
it's done; it's difficult if not impossible to give formal definition of 
justified.

Yes.


See my answer to brent. The whole AUDA is made possible because we do have an excellent 
axiomatisation of justification.


It's an excellent axiomatization that relies on inference from axioms.  To say it 
formalizes good reasoning would mean that I would have to axiomatize vision before I could 
see anything.


Brent

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Re: The scope of physical law and its relationship to the substitution level

2015-06-08 Thread meekerdb

On 6/8/2015 1:03 AM, Bruno Marchal wrote:

or that maths exists independently of mathematicians.


That even just arithmetical truth is independent of mathematician. This is important 
because everyone agree with any axiomatic of the numbers, but that is not the case for 
analysis, real numbers, etc.


Everyone agrees on ZFC in the same sense.  So does that make set theory and its 
consequences real?


Brent

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Re: The scope of physical law and its relationship to the substitution level

2015-06-08 Thread LizR
On 8 June 2015 at 16:22, Stathis Papaioannou stath...@gmail.com wrote:

 It seems here that you've snuck an extra assumption into comp1. We know
 that brains can be conscious, and we assume that computations can also be
 conscious. But that doesn't mean that only computations can be conscious,
 nor does it mean that brains are computations. These two latter statements
 might be true, but they are not necessarily true, even given
  computationalism.


I may not have phrased it very well, but comp1 is the assumption that
consciousness is based on computation, and can't be created by anything
else (at least that's comp1 in a simple form - actually, I believe it's the
assumption that at some level physics is Turing emulable). On that basis, a
brain must do computation (at some level), since it's conscious, and an AI
could be conscious given the correct programme.

(And what's wrong with sneaked ?)

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Re: The scope of physical law and its relationship to the substitution level

2015-06-08 Thread Bruce Kellett

LizR wrote:
On 9 June 2015 at 05:31, meekerdb meeke...@verizon.net 
mailto:meeke...@verizon.net wrote:


On 6/8/2015 1:03 AM, Bruno Marchal wrote:

or that maths exists independently of mathematicians.

That even just arithmetical truth is independent of mathematician.
This is important because everyone agree with any axiomatic of the
numbers, but that is not the case for analysis, real numbers, etc.

Everyone agrees on ZFC in the same sense.  So does that make set
theory and its consequences real? 

Reality isn't defined by what everyone agrees on. What makes ZFC (or 
whatever) real, or not, is whether it kicks back. Is it something that 
was invented, and could equally well have been invented differently, or 
was it discovered as a result of following a chain of logical reasoning 
from certain axioms?


Why do not those same arguments apply equally to arithmetic? What axioms 
led to arithmetic? Could one have chosen different axioms?


Bruce

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Re: The scope of physical law and its relationship to the substitution level

2015-06-08 Thread Russell Standish
On Sat, Jun 06, 2015 at 07:18:19PM -0400, John Clark wrote:
 On Sat, Jun 6, 2015  meekerdb meeke...@verizon.net wrote:
 
   In a Newtonian world physics is deterministic
 
 
 Yes, but deterministic is not the same as predictable.
 
 
   so there is an exact solution:
 
 
 That doesn't necessarily follow. 

Actually, there is usually an existence theorem for differential
equations showing the existence of an exact solution for given
boundary conditions. It may well be that the solution cannot be
expressed in closed form using our existing catalogue of
transcendental functions, but our catalogue can always be added to,
such that it becomes possible to express the exact solution in closed
form. Indeed, before computers were invented, it was popular to
enlarge the catalogue with solutions to certain strategic differential
equations - think gamma function, Bessel functions etc, so as to
tabulate numerical values to help solve other DEs. But now, with
general availability of electronic computers, you may as well do it
directly for the DE of interest.

 Approximations can be made but in general
 an exact solution to the 3 body problem would require an infinite (and not
 just astronomical) number of numerical calculations.
 

Numerical approximations are a different matter. Even having a closed
form exact solution will not help numerical predictions if the
algorithms for computing it are numerically unstable.


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Re: The scope of physical law and its relationship to the substitution level

2015-06-08 Thread Stathis Papaioannou
On Tuesday, June 9, 2015, LizR lizj...@gmail.com
javascript:_e(%7B%7D,'cvml','lizj...@gmail.com'); wrote:

 On 8 June 2015 at 16:22, Stathis Papaioannou stath...@gmail.com wrote:

 It seems here that you've snuck an extra assumption into comp1. We know
 that brains can be conscious, and we assume that computations can also be
 conscious. But that doesn't mean that only computations can be conscious,
 nor does it mean that brains are computations. These two latter statements
 might be true, but they are not necessarily true, even given
  computationalism.


 I may not have phrased it very well, but comp1 is the assumption that
 consciousness is based on computation, and can't be created by anything
 else (at least that's comp1 in a simple form - actually, I believe it's the
 assumption that at some level physics is Turing emulable). On that basis, a
 brain must do computation (at some level), since it's conscious, and an AI
 could be conscious given the correct programme.


There are two good justifications for computationalism that I can think of.
One is the evolutionary one: that consciousness produces no effects of its
own, so must be a side-effect of intelligent behaviour. The other is
Chalmers' fading qualia argument. Neither of these justifications make a
case for computation *exclusively* being responsible for consciousness.
That is an added assumption, and at least in the first instance seems
unnecessary.


 (And what's wrong with sneaked ?)


I was trying to be faintly amusing, but I see that snuck may have sneaked
into the language:

 http://dictionary.reference.com/help/faq/language/g08.html

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Re: The scope of physical law and its relationship to the substitution level

2015-06-08 Thread Russell Standish
On Tue, Jun 09, 2015 at 02:32:13PM +1200, LizR wrote:
 On 9 June 2015 at 14:10, Stathis Papaioannou stath...@gmail.com wrote:
 
  On Tuesday, June 9, 2015, LizR lizj...@gmail.com wrote:
 
  (And what's wrong with sneaked ?)
 
 
  I was trying to be faintly amusing, but I see that snuck may have
  sneaked into the language:
 
   http://dictionary.reference.com/help/faq/language/g08.html
 
  Not yet, by gad! It's still non-standard...
 
 Also, I see 'slinked' has slunk off.
 

I have a theory that some verbs oscilate between weak and strong forms
on some kind of multigenerational timescale. I was brought up saying
snuck, lit, dove rather than sneaked, lighted and dived,
for example.

Cheers

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Re: The scope of physical law and its relationship to the substitution level

2015-06-08 Thread LizR
On 9 June 2015 at 05:29, meekerdb meeke...@verizon.net wrote:

  On 6/8/2015 1:03 AM, Bruno Marchal wrote:


  Hmm Let us be precise. That the computation take place in arithmetic
 is a mathematical fact that nobody doubt today. UDA explains only that we
 cannot use a notion of primitive matter for making more real some
 computations in place of others. It makes the physics supervening on all
 computations in arithmetic.

 But my computer does some computations and not others.  So there must be
 some sense in which some computations are real and others aren't.
 Handwaving that they're all there in arithmetic proves too much.


I don't see that. Surely the problem is that it doesn't prove *enough* -
assuming all computations exist (in some sense) in arithmetic, which I
believe is trivially true to most mathematicians, how does this produce
physics?

If you're going to use a comp style explanation, your computer isn't
defining which computations are real, it's somehow being generated by all
those abstract computations.

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Re: The scope of physical law and its relationship to the substitution level

2015-06-08 Thread meekerdb

On 6/8/2015 4:16 PM, LizR wrote:
On 9 June 2015 at 05:31, meekerdb meeke...@verizon.net mailto:meeke...@verizon.net 
wrote:


On 6/8/2015 1:03 AM, Bruno Marchal wrote:

or that maths exists independently of mathematicians.

That even just arithmetical truth is independent of mathematician. This is
important because everyone agree with any axiomatic of the numbers, but 
that is not
the case for analysis, real numbers, etc.

Everyone agrees on ZFC in the same sense.  So does that make set theory and 
its
consequences real?

Reality isn't defined by what everyone agrees on.


Tell it to Bruno, I was just following him.


What makes ZFC (or whatever) real, or not, is whether it kicks back.


Mathematics doesn't kick back - except metaphorically.

Is it something that was invented, and could equally well have been invented 
differently, or was it discovered as a result of following a chain of logical reasoning 
from certain axioms?


I'd say ZFC and arithmetic were both invented and then an axiomatization was invented for 
each of them.  I'm not sure what invented differently means?...getting to the same 
axiomatization by a different historical path?  Or inventing something similar, but not 
identical, as ZF is different from ZFC.


Brent

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Re: The scope of physical law and its relationship to the substitution level

2015-06-08 Thread LizR
On 9 June 2015 at 14:00, meekerdb meeke...@verizon.net wrote:

  On 6/8/2015 4:16 PM, LizR wrote:

  On 9 June 2015 at 05:31, meekerdb meeke...@verizon.net wrote:

  On 6/8/2015 1:03 AM, Bruno Marchal wrote:

   or that maths exists independently of mathematicians.

 That even just arithmetical truth is independent of mathematician. This
 is important because everyone agree with any axiomatic of the numbers, but
 that is not the case for analysis, real numbers, etc.

 Everyone agrees on ZFC in the same sense.  So does that make set theory
 and its consequences real?

  Reality isn't defined by what everyone agrees on.


 Tell it to Bruno, I was just following him.


If it was then the religious majority throughout history would have been
right.

   What makes ZFC (or whatever) real, or not, is whether it kicks back.

 Mathematics doesn't kick back - except metaphorically.


Are you claiming an alien in another galaxy wouldn't find that arithmetic
works? I'm not making any metaphysical claims about the status of maths,
merely saying that most mathematicians would, I think, agree that two
people working independently can make the same mathematical discovery by
different routes, and that some maths has real-world applications, and that
when it does, it works. (But I'm not sure how much kicking back you need
from something, maybe being independently discoverable and working isn't
enough?)

   Is it something that was invented, and could equally well have been
 invented differently, or was it discovered as a result of following a chain
 of logical reasoning from certain axioms?

 I'd say ZFC and arithmetic were both invented and then an axiomatization
 was invented for each of them.  I'm not sure what invented differently
 means?...getting to the same axiomatization by a different historical
 path?  Or inventing something similar, but not identical, as ZF is
 different from ZFC.

 It means that two people starting from the same axioms and using the same
system of logic came up with two different results (and neither made a
mistake). If within a given system A always leads to B, then it's
reasonable to say B is discovered - like, for example, a certain endgame in
chess leading to a particular set of possible conclusions. But if within a
system A can lead to B, C, D etc then it's reasonable to say it's invented,
like a competition to finish (within the grammatical system of English) a
poem that begins And now the end is near...

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Re: The scope of physical law and its relationship to the substitution level

2015-06-08 Thread LizR
On 9 June 2015 at 11:26, Bruce Kellett bhkell...@optusnet.com.au wrote:

 LizR wrote:

 Reality isn't defined by what everyone agrees on. What makes ZFC (or
 whatever) real, or not, is whether it kicks back. Is it something that was
 invented, and could equally well have been invented differently, or was it
 discovered as a result of following a chain of logical reasoning from
 certain axioms?


 Why do not those same arguments apply equally to arithmetic? What axioms
 led to arithmetic? Could one have chosen different axioms?

 The arguments do apply. The point is that once the axioms are chosen, the
results that follow are not a matter of choice. Arithmetical truths appear
to take the form if A, then (necessarily) B.

However, some of the elementary axioms (or even perhaps axions! :-) do
appear to be demonstrated by nature - certain numerical quantities are
(apparently) conserved in fundamental particle interactions, quantum
fluctuations can only occur in ways that balance energy budgets, etc. So
one could say that for anyone of a materialist persuasion, the assumptions
of elementary arithmetic aren't unreasonable, at least (Bruno often
mentions that comp only assumes some very simple arithmetical axioms - the
existence of numbers and the correctness of addition and multiplication, I
think)

So if you choose Peano arithmetic, then such-and-such follows, while if you
choose modular arithmetic, something else follows. The kicking back part
is simply the fact that the same result always follows from a given set of
assumptions. To put it a bit more dramatically, an alien being in a
different galaxy, or even in another universe, would still get the same
results. Nature is telling us that given A, we always get B.

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Re: The scope of physical law and its relationship to the substitution level

2015-06-08 Thread LizR
On 9 June 2015 at 14:10, Stathis Papaioannou stath...@gmail.com wrote:

 On Tuesday, June 9, 2015, LizR lizj...@gmail.com wrote:

 (And what's wrong with sneaked ?)


 I was trying to be faintly amusing, but I see that snuck may have
 sneaked into the language:

  http://dictionary.reference.com/help/faq/language/g08.html

 Not yet, by gad! It's still non-standard...

Also, I see 'slinked' has slunk off.

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Re: The scope of physical law and its relationship to the substitution level

2015-06-08 Thread meekerdb

On 6/8/2015 7:41 PM, Russell Standish wrote:

On Tue, Jun 09, 2015 at 02:32:13PM +1200, LizR wrote:

On 9 June 2015 at 14:10, Stathis Papaioannou stath...@gmail.com wrote:


On Tuesday, June 9, 2015, LizR lizj...@gmail.com wrote:


(And what's wrong with sneaked ?)


I was trying to be faintly amusing, but I see that snuck may have
sneaked into the language:

  http://dictionary.reference.com/help/faq/language/g08.html

Not yet, by gad! It's still non-standard...

Also, I see 'slinked' has slunk off.


I have a theory that some verbs oscilate between weak and strong forms
on some kind of multigenerational timescale. I was brought up saying
snuck, lit, dove rather than sneaked, lighted and dived,
for example.


I recently heard a linguist speak on this and his theory was that as a language spreads as 
a second language, i.e. is learned by adults, it tends to become more regular - and 
English is the prime example.


Brent

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Re: The scope of physical law and its relationship to the substitution level

2015-06-08 Thread LizR
On 9 June 2015 at 05:31, meekerdb meeke...@verizon.net wrote:

  On 6/8/2015 1:03 AM, Bruno Marchal wrote:

   or that maths exists independently of mathematicians.

 That even just arithmetical truth is independent of mathematician. This is
 important because everyone agree with any axiomatic of the numbers, but
 that is not the case for analysis, real numbers, etc.

 Everyone agrees on ZFC in the same sense.  So does that make set theory
 and its consequences real?

 Reality isn't defined by what everyone agrees on. What makes ZFC (or
whatever) real, or not, is whether it kicks back. Is it something that was
invented, and could equally well have been invented differently, or was it
discovered as a result of following a chain of logical reasoning from
certain axioms?

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Re: The scope of physical law and its relationship to the substitution level

2015-06-08 Thread meekerdb

On 6/8/2015 4:13 PM, LizR wrote:
On 9 June 2015 at 05:29, meekerdb meeke...@verizon.net mailto:meeke...@verizon.net 
wrote:


On 6/8/2015 1:03 AM, Bruno Marchal wrote:


Hmm Let us be precise. That the computation take place in arithmetic is 
a
mathematical fact that nobody doubt today. UDA explains only that we cannot 
use a
notion of primitive matter for making more real some computations in 
place of
others. It makes the physics supervening on all computations in 
arithmetic.

But my computer does some computations and not others.  So there must be 
some sense
in which some computations are real and others aren't.  Handwaving that 
they're all
there in arithmetic proves too much.


I don't see that. Surely the problem is that it doesn't prove /enough/ - assuming all 
computations exist (in some sense) in arithmetic, which I believe is trivially true to 
most mathematicians, how does this produce physics?


If you're going to use a comp style explanation, your computer isn't defining which 
computations are real, it's somehow being generated by all those abstract computations.


And all those abstract computations are also generating all possible instances of my 
computer computing all possible computations, plus many others which are not nomologically 
possible.  So when Bruno says we cannot use a notion of primitive matter for making more 
real some computations in place of others my question becomes, Ok, what can we use, 
because some computations ARE more real than others.


Brent

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Re: The scope of physical law and its relationship to the substitution level

2015-06-08 Thread meekerdb

On 6/8/2015 7:30 PM, LizR wrote:
On 9 June 2015 at 14:00, meekerdb meeke...@verizon.net mailto:meeke...@verizon.net 
wrote:


On 6/8/2015 4:16 PM, LizR wrote:

On 9 June 2015 at 05:31, meekerdb meeke...@verizon.net
mailto:meeke...@verizon.net wrote:

On 6/8/2015 1:03 AM, Bruno Marchal wrote:

or that maths exists independently of mathematicians.

That even just arithmetical truth is independent of mathematician. This 
is
important because everyone agree with any axiomatic of the numbers, but 
that
is not the case for analysis, real numbers, etc.

Everyone agrees on ZFC in the same sense.  So does that make set theory 
and its
consequences real?

Reality isn't defined by what everyone agrees on.


Tell it to Bruno, I was just following him.


If it was then the religious majority throughout history would have been right.


What makes ZFC (or whatever) real, or not, is whether it kicks back.

Mathematics doesn't kick back - except metaphorically.


Are you claiming an alien in another galaxy wouldn't find that arithmetic works?


No.  Is that what you mean by kicks back?

I'm not making any metaphysical claims about the status of maths, merely saying that 
most mathematicians would, I think, agree that two people working independently can make 
the same mathematical discovery by different routes, and that some maths has real-world 
applications, and that when it does, it works.


Arithmetic is a hard example to discuss because it is so simple and probably even 
hardwired into our thinking by evolution (crows can supposedly add and subtract up to 
six), but it's not really so inevitable as it seems. In order to count you have to discern 
distinct objects and group them in imagination into a whole: So you count the players on a 
college football team (U.S.) and you get 105.  Then you count the number on the basketball 
team of the same school, 35, and you add them to the football team you get 140 - but that 
may well be wrong.  Of course you will say that's just a misapplication; but that's the 
point, that arithmetic is an abstraction that is invented to apply to certain cases and it 
is no more out there than other aspects of language.  I agree that it's hard to imagine 
an intelligent species that doesn't perceive discrete countable objects and didn't invent 
arithmetic to describe them; maybe some plasma being on the surface of the the Sun that 
thinks only in continua.


(But I'm not sure how much kicking back you need from something, maybe being 
independently discoverable and working isn't enough?)



Is it something that was invented, and could equally well have been invented
differently, or was it discovered as a result of following a chain of 
logical
reasoning from certain axioms?

I'd say ZFC and arithmetic were both invented and then an axiomatization was
invented for each of them. I'm not sure what invented differently 
means?...getting
to the same axiomatization by a different historical path?  Or inventing 
something
similar, but not identical, as ZF is different from ZFC.

It means that two people starting from the same axioms and using the same system of 
logic came up with two different results (and neither made a mistake).


That would mean either the axiom system was inconsistent or there was a mistake in logic.  
Note that Graham Priest has written several books on para-consistent logics, ones in which 
there can be contradictions but don't support /ex falso quodlibet/.


If within a given system A always leads to B, then it's reasonable to say B is 
discovered - like, for example, a certain endgame in chess leading to a particular set 
of possible conclusions.


?? At first reading I thought you meant A logically implies B, which means B is implicit 
in A. And so I thought the example was a chess endgame in which every move is forced 
(except resignation), A would be the board position and B the sequence of endgame moves.  
But then you say B is a set of possible conclusions.  Since chess is a finite game the 
starting position already leads to a */set/* of possible conclusions.



But if within a system A can lead to B, C, D etc then it's reasonable to say 
it's invented,


So does the fact that Peano arithmetic lead to many different theorems mean it's 
invented?  Does the fact that it's incomplete and can have infinitely many new axioms 
added to it mean it's invented?


I don't think your criterion for distinguishing invented from discovered reflects common 
usage.


like a competition to finish (within the grammatical system of English) a poem that 
begins And now the end is near...


And so I face the final curtain
My friend I'll say it clear
I'll state my case of which I'm certain

Brent

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Re: The scope of physical law and its relationship to the substitution level

2015-06-08 Thread Bruce Kellett

LizR wrote:
On 9 June 2015 at 11:26, Bruce Kellett bhkell...@optusnet.com.au 
mailto:bhkell...@optusnet.com.au wrote:


LizR wrote:

Reality isn't defined by what everyone agrees on. What makes ZFC
(or whatever) real, or not, is whether it kicks back. Is it
something that was invented, and could equally well have been
invented differently, or was it discovered as a result of
following a chain of logical reasoning from certain axioms?

Why do not those same arguments apply equally to arithmetic? What
axioms led to arithmetic? Could one have chosen different axioms?

The arguments do apply. The point is that once the axioms are chosen, 
the results that follow are not a matter of choice. Arithmetical truths 
appear to take the form if A, then (necessarily) B.


However, some of the elementary axioms (or even perhaps axions! :-) do 
appear to be demonstrated by nature - certain numerical quantities are 
(apparently) conserved in fundamental particle interactions, quantum 
fluctuations can only occur in ways that balance energy budgets, etc.


Yes, exactly. That is why I would say that arithmetic is invented as a 
codification of our experience of the physical world. If we had chosen a 
set of axioms that did not reproduce the results of simple addition -- 
add two pebbles to the two already there, to give four in total -- then 
we would have abandoned that set of axioms long ago. Axiom systems are 
evaluated in terms of their utility, nothing else. In more advanced 
mathematics, utility might be measured in terms of simplicity and 
fruitfulness for further applications. But in the beginning, as with 
arithmetic and simple geometry/trigonometry and so on, utility is 
measured entirely in terms of the applicability to the experienced 
physical world, and of the utility of the system in helping us live in 
that world.


So one could say that for anyone of a materialist persuasion, the 
assumptions of elementary arithmetic aren't unreasonable, at least 
(Bruno often mentions that comp only assumes some very simple 
arithmetical axioms - the existence of numbers and the correctness of 
addition and multiplication, I think)


So if you choose Peano arithmetic, then such-and-such follows, while if 
you choose modular arithmetic, something else follows. The kicking 
back part is simply the fact that the same result always follows from a 
given set of assumptions.


Given a set of axioms and some agreed rules of inference, the same 
results always follow, regardless of by whom or at what time the 
application is made. This is not what is usually referred to as kicking 
back. Johnson did not apply some axioms and rules of inference in 
answer to the idealists, he kicked a stone.


To put it a bit more dramatically, an alien 
being in a different galaxy, or even in another universe, would still 
get the same results. Nature is telling us that given A, we always get B.


Nature doesn't particularly tell us that. Rigorous application of the 
rules of inference to certain axioms tells us that. The physics might, 
after all, be different in a different universe, but using the same 
rules of inference on the same axioms will give the same result, 
regardless of the local physical laws.


Bruce

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Re: The scope of physical law and its relationship to the substitution level

2015-06-08 Thread Bruno Marchal


On 08 Jun 2015, at 04:14, John Clark wrote:


On Sun, Jun 7, 2015  Bruno Marchal marc...@ulb.ac.be wrote:

 that is enough to conceive the set of the Gödel number of true  
sentences of arithmetic, and prove theorems about that set. That set  
can be defined in standard set theory


YOU CAN'T MAKE A COMPUTATION WITH A DEFINITION!


I can do better. I can prove their existence in arithmetic.




 Half of your theory is true but trivial, the other half is not  
trivial and not true.


 You don't know the other half. You said repeatedly that you never  
find the need to read after step 3.


Because step 3 of you proof was S-T-U-P-I-D. Fix it


We have shown that my proof fix it at the start, but you made only one  
half of the proof. You forget to put yourself at the place of each  
continuators, and analyse their first person discourses. More than 4  
people have tried to explain this to you, and you are the only person  
disagreeing with this, for still unknown reason, as we have shown you  
were invalid.


Bruno




and I'll keep reading until I see the next stupid thing.  .

 John K Clark




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Re: The scope of physical law and its relationship to the substitution level

2015-06-08 Thread Bruno Marchal


On 08 Jun 2015, at 06:31, LizR wrote (to Brent)

Note that Bruno rejects the conditioning on justified.  Plato's  
Theaetetus dialogue defines knowledge as true belief.  I think  
that's a deficiency in modal logic insofar as it's supposed to  
formalize good informal reasoning.  But I can see why it's done;  
it's difficult if not impossible to give formal definition of  
justified.


Yes.



See my answer to brent. The whole AUDA is made possible because we do  
have an excellent axiomatisation of justification. The theory applies  
to all consistent continuations of anyone believing in RA or PA axioms.


Then INFORMAL justification, is obtained by the move []p to []p  p,  
made possible by the fact that incompleteness implies they obey quite  
different logics.


There is no modal logic. Only arithmetical machine self-reference  
logics. It just happens that modal logic simplifies a lot the  
calculus. Like tensor analysis simplifies general relativity, but is  
not part of the theory itself which is concerned with space-time and  
gravity.


Bruno


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



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Re: The scope of physical law and its relationship to the substitution level

2015-06-08 Thread Bruno Marchal


On 08 Jun 2015, at 01:14, meekerdb wrote:


On 6/7/2015 3:00 PM, LizR wrote:

On 8 June 2015 at 05:08, Bruno Marchal marc...@ulb.ac.be wrote:

On 07 Jun 2015, at 18:35, John Clark wrote:

On Sat, Jun 6, 2015  Bruno Marchal marc...@ulb.ac.be wrote:

 An event is just a place and a time; are you saying that  
mathematics is incapable of handling 4 coordinates?


 Of course, applied mathematics exists, and you can represent  
event in mathematics, but you shopuld not confuse something (a  
physical event) and its mathematical representation.


I am not confusing that but I think sometimes you might be  
confusing a physical thing with the language (mathematics) the  
descriptive representation of the thing is presented in. Or maybe  
not, maybe you're right and mathematics is more than just a  
language and is more fundamental than physics; nobody knows  
including you.
Nobody can know. But we can reason from hypothesis. With the  
computationalist hypothesis, the immateriality of consciousness is  
contagious on the possible environment.  Nobody pretends this is  
obvious, especially for people stuck at the step 3.


The question being asked is, why hypothesis best explains  
consciousness? Comp attempts to take the default materialist  
assumption, that consciousness is a (very, very complicated) form  
of computation, and to derive results from that assumption.


Hence what I've called comp1 is the default materialist hypothesis  
(also known as the strong AI thesis, I think) - this is more or  
less equivalent to the idea that a computer could, given a suitable  
programme and resources, be conscious. From this Bruno attempts to  
show, via a chain of reasoning, that the computations involved have  
to take place in arithmetical reality (Platonia). This conclusion  
I call comp2. The task of anyone who disagrees is simply to show  
that comp2 doesn't follow from comp1.


There are various ways to try to show this. One is to doubt the  
starting assumptions (comp1). The starting assumptions include  
the idea that simple arithmetic exists independently of  
mathematicians - that 2+2=4 was true in the big bang, for example.


I think that assumes that true and exist are the same thing.


You have said this often, but that does not make sense. But we do  
believe in classical logic, and so accept the rule P(n) === ExP(x),  
for n being any number. So we do accept that 2+2=4 is enough to infer  
that it exist a number x such that 2 + x = 4.




One can affirm that Watson was Holmes assistant without admitting  
that either one existed.


... existed in our local physical reality. But if define precisely  
enough, we can show that Watson exists in arithmetic, plausibly not in  
a way directly accessible to us.



  So while everyone agrees that 2+2=4 by definition, it's not so  
clear that arithmetic objects exist.


It is as much clear than when you say that prime number exists. And it  
is explained how to recover physical existence from it. It is  
phenomenologic existence, of the type [2]2Ex [2]2 P(x), with [2]  
being the box of the Z1*, X1* or the S4Grz1 mathematics.






The universe appears to obey certain bits of methematics to high  
precision, or alternatively you could say that various bits of  
maths appear to correctly describe the behaviour of the universe  
and its constituents to high precision. So that is the which comes  
first? question, which as you correctly say we can't know (indeed  
we can't know anything, if know means justified true belief,  
apart from the fact that we are conscious, as Descartes mentioned).


Note that Bruno rejects the conditioning on justified.  Plato's  
Theaetetus dialogue defines knowledge as true belief.  I think  
that's a deficiency in modal logic insofar as it's supposed to  
formalize good informal reasoning.  But I can see why it's done;  
it's difficult if not impossible to give formal definition of  
justified.


On the contrary. Gödel provides a formal justification of justify  
which I take as equiavalent with proof, that is Gödel's beweisbar.  
So I don't reject the conditionning on justify, I exploit it.


Then informal justification is given by the Thaetetical variant []p   
p. It obeys S4, it is not 3p definable by the machine, and so is not  
formalizable (although it is meta-formalizable at the proposotional  
level), ...






So one can doubt comp1 by doubting either that consciousness is a  
computation, or that maths exists  independently of  
mathematicians.


Then one can doubt the steps of the argument. I personally find  
little to doubt, assuming comp1, until we reach step 7 or 8, or  
whichever step is the MGA. (There has been a lot of heat about  
pronouns, but as far as I can see this hasn't made a dent in the  
arguments presented.)


So the other main point of attack is at the comp2 end, so to speak,  
with the MGA. There is Brent's light cone argument, which IMHO  
seems unconvincing because one can make a cut 

Re: The scope of physical law and its relationship to the substitution level

2015-06-08 Thread Bruno Marchal


On 08 Jun 2015, at 04:31, John Clark wrote:


On Sun, Jun 7, 2015 at meekerdb meeke...@verizon.net wrote:

 everyone agrees that 2+2=4 by definition, it's not so clear that  
arithmetic objects exist.


If 2+2=4 exists then 2+2=5 does too.


2+2 is true. That's all.


Platonia may contain all true statements but it contains all false  
statement as well


The physical reality too, once we make sense of what you say. This  
does not make the Moon into Mars. Same in Platonia: 2+2=5 is false  
there, and that is enough.





and even Platonia has no way to completely separate the two.


Platonia separates them by definition of Platonia. And that can be  
proved in set theory, or second order arithmetic (that you need to  
define mathematically Platonia (arithmetical truth).


Bruno




And there are many ways to be wrong but only one way to be right.

  John K Clark





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Re: The scope of physical law and its relationship to the substitution level

2015-06-08 Thread Bruno Marchal


On 08 Jun 2015, at 00:00, LizR wrote:


On 8 June 2015 at 05:08, Bruno Marchal marc...@ulb.ac.be wrote:

On 07 Jun 2015, at 18:35, John Clark wrote:

On Sat, Jun 6, 2015  Bruno Marchal marc...@ulb.ac.be wrote:

 An event is just a place and a time; are you saying that  
mathematics is incapable of handling 4 coordinates?


 Of course, applied mathematics exists, and you can represent  
event in mathematics, but you shopuld not confuse something (a  
physical event) and its mathematical representation.


I am not confusing that but I think sometimes you might be  
confusing a physical thing with the language (mathematics) the  
descriptive representation of the thing is presented in. Or maybe  
not, maybe you're right and mathematics is more than just a  
language and is more fundamental than physics; nobody knows  
including you.
Nobody can know. But we can reason from hypothesis. With the  
computationalist hypothesis, the immateriality of consciousness is  
contagious on the possible environment.  Nobody pretends this is  
obvious, especially for people stuck at the step 3.


The question being asked is, why hypothesis best explains  
consciousness? Comp attempts to take the default materialist  
assumption, that consciousness is a (very, very complicated) form of  
computation, and to derive results from that assumption.


The materialist assumption is that there is a primitive physical  
universe, and that we are conscious because we have a phsical body  
containing a computer doing relevant computation. This is shown to be  
an epistemological nonsense, or to be based on a god-of-the-gap type  
of move.
The way I define comp1 is a much weaker hypothesis, a priori neutral.  
It is the hypothesis that my consciousness does not change if my brain  
is replaced by a digital physical brain emulating my brain at some  
level. It is ontologically neutral (matter is not taken as primitively  
existing).


Then, the goal is not to explain consciousness per se, but to show  
that any explanation of consciousness will necessitate an entire  
explanation of the physical appearance without using the assumption of  
primitive matter. UDA shows that the materialist assumption is  
incompatible with the computationalist one, even when used in that  
weak sense. Consciousness itself is then explained by computer  
science, but that is done in AUDA, not in UDA, which strictly speaking  
just expose the problem.









Hence what I've called comp1 is the default materialist hypothesis  
(also known as the strong AI thesis, I think)


Comp1 is not comp, even if it is comp for a materialist: but that  
position is proved to be nonsense.


Comp is just I am a digitalizable machine.
String AI is the thesis that machine can think (be conscious). It does  
not logically entail comp. Machine can think, but does not need to be  
the only thinking entities. Gods and goddesses might be able to think  
too.




- this is more or less equivalent to the idea that a computer could,  
given a suitable programme and resources, be conscious. From this  
Bruno attempts to show, via a chain of reasoning, that the  
computations involved have to take place in arithmetical reality  
(Platonia).


Hmm Let us be precise. That the computation take place in  
arithmetic is a mathematical fact that nobody doubt today. UDA  
explains only that we cannot use a notion of primitive matter for  
making more real some computations in place of others. It makes the  
physics supervening on all computations in arithmetic.




This conclusion I call comp2. The task of anyone who disagrees is  
simply to show that comp2 doesn't follow from comp1.


There are various ways to try to show this. One is to doubt the  
starting assumptions (comp1). The starting assumptions include the  
idea that simple arithmetic exists independently of mathematicians -  
that 2+2=4 was true in the big bang, for example.


I always intuit that you get the thing, but express it in a slightly  
misleading way. To say that 2+2=4 was true in the big bang does not  
really make sense, as an arithmetical proposition is true out of time  
and space. mathematical propositions are not depending on physics.



The universe appears to obey certain bits of methematics to high  
precision, or alternatively you could say that various bits of maths  
appear to correctly describe the behaviour of the universe and its  
constituents to high precision. So that is the which comes first?  
question, which as you correctly say we can't know (indeed we can't  
know anything, if know means justified true belief, apart from the  
fact that we are conscious, as Descartes mentioned).


Why? If you define to know by true belief, then we might be able to  
know things. may be we do know that 2+2=4, because we believe it, and  
it might also be true.
(It is my fault, because someone I use to know in the non  
theaetetical sense of know for sure.



So one can doubt comp1 by doubting either that 

Re: The scope of physical law and its relationship to the substitution level

2015-06-08 Thread John Clark
On Mon, Jun 8, 2015  Bruno Marchal marc...@ulb.ac.be wrote:

  that is enough to conceive the set of the Gödel number of true
 sentences of arithmetic, and prove theorems about that set. That set can be
 defined in standard set theory


  YOU CAN'T MAKE A COMPUTATION WITH A DEFINITION!

  I can do better.


You can't do better than a demonstration! Just make one calculation without
using matter that obeys the laws of physics and you've won and this debate
is over.


  I can prove their existence in arithmetic.


Nobody denies that true statements exist in arithmetic, but the trouble is
false ones do too, and the only way known to sort one from the other is to
use matter that obeys the laws of physics to make a calculation.


  You forget to put yourself at the place of each continuators, and
 analyse their first person discourses.


And you forgot that when creating thought experiments designed to
illuminate aspects of personal identity you can't talk about yourself
and use personal pronouns in a casual willy nilly manner as you do in
everyday life!


  More than 4 people have tried to explain this to you, and you are the
 only person disagreeing with this,


Then I must be smarter than those 4 unnamed people.

  John K Clark

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Re: The scope of physical law and its relationship to the substitution level

2015-06-07 Thread Bruno Marchal


On 07 Jun 2015, at 18:35, John Clark wrote:


On Sat, Jun 6, 2015  Bruno Marchal marc...@ulb.ac.be wrote:

 An event is just a place and a time; are you saying that  
mathematics is incapable of handling 4 coordinates?


 Of course, applied mathematics exists, and you can represent event  
in mathematics, but you shopuld not confuse something (a physical  
event) and its mathematical representation.


I am not confusing that but I think sometimes you might be confusing  
a physical thing with the language (mathematics) the descriptive  
representation of the thing is presented in. Or maybe not, maybe  
you're right and mathematics is more than just a language and is  
more fundamental than physics; nobody knows including you.



Nobody can know. But we can reason from hypothesis. With the  
computationalist hypothesis, the immateriality of consciousness is  
contagious on the possible environment.  Nobody pretends this is  
obvious, especially for people stuck at the step 3.






 but if something requires an infinite number of steps to  
determine what it will do its not very deterministic.


 It is, when you agree to apply the excluded middle on the  
arithmetical proposition, or actually it is enough to believe that a  
closed Turing machine stop or does not stop.


Deterministic perhaps, but not predictable even in theory.


OK, but that is enough to conceive the set of the Gödel number of true  
sentences of arithmetic, and prove theorems about that set. That set  
can be defined in standard set theory or second-order arithmetic  
(analysis).







 Bullshit. I have never argued anything about comp1 and never  
will because I'm sick to death with comp of any variety.


 In some post you argued once that comp1 is trivial,

 ?

!

 I remember you said that comp as I meant it is trivially, true, is  
wrong (btw). If you don't remember what you post, the conversation  
might loss its meaning.


Half of your theory is true but trivial, the other half is not  
trivial and not true.


You don't know the other half. You said repeatedly that you never find  
the need to read after step 3. And you show to know nothing about  
computability theory (which explains why the second part eludes you).


So you have read 3/8 of the simple part (done for the novice), that is  
3/16 of the work, and you judged it?






As for comp... I have so often heard you say according to comp  
blah blah that I no longer know what your silly little homemade  
slang word is supposed to mean, but I do know it can't mean  
Computationalism. And now dear god we've got comp1 and comp2 to  
add to the mix!


That was a gentle attempt by Liz to make sense of *your* distinction  
(between Computationalism (comp1) and what I explain as consequence of  
it, comp2). Comp2 is computationalism when you understand UDA, and  
that primitive matter is transformed into a god of the gap type of  
notion, with respect to the mind-body problem, or even just the body  
problem.


It is not that we don't need the notion of primary matter, it is that  
even if that exists, we can't relate it to consciousness in any way.


If we would need a piece of matter, either it is Turing emulable, and  
it means we did not get the level right, or it is not Turing emulable,  
and then, its needs just shows that comp is wrong. QED.


UDA is a question, and AUDA is the non trivial beginning of the  
Universal Machine's answer, when she introspect herself enough (can  
prove its only universality, in some technical precise sense).


But how foolish am I when trying someone to listen to the machine, if  
that person cannot even listen to humans.


The universal machines, like babies, are born intelligent, but they  
can evolve and become stupid, feeling superior, and destroying  
themselves.


Bruno








  John K Clark



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Re: The scope of physical law and its relationship to the substitution level

2015-06-07 Thread Bruno Marchal


On 06 Jun 2015, at 02:00, Bruce Kellett wrote:


meekerdb wrote:

On 6/5/2015 4:29 PM, Bruce Kellett wrote:

meekerdb wrote:

On 6/5/2015 12:22 PM, John Clark wrote:
On Fri, Jun 5, 2015 , meekerdb meeke...@verizon.net mailto:meeke...@verizon.net 
 wrote:


It's very relevant if you want to know what is a  
simplified

   approximation of what. And we both agree that a electronic
   computer is vastly more complex than it's logical  
schematic,

   so why can we make a working model of the complex thing but
   not make a working model of the simple thing when usually  
it's
   easier to make a simple thing than a complex thing? The  
only

   answer that comes to mind is that particular simplified
   approximation is just too simplified and just too  
approximate
   to actually do anything. That simplification must be  
missing

   something important, matter that obeys the laws of physics.

The trouble with this argument is that the laws of physics  
are

   mathematical abstractions.


Mathematicians are always saying that mathematics is a language,  
but what would be the consequences if that were really true? The  
best way known to describe the laws of physics is to write then  
in the language of mathematics, but a language is not the thing  
the language is describing.


I agree the laws of physics are descriptions we invent; but even  
so they are abstractions and not material and what they define is  
only an approximation to what happens in the world.  That's what  
makes them useful - they let us make predictions while leaving  
out a lot of stuff.


So what is this lot of stuff that the mathematical abstractions  
leave out? In response you your initial point that the laws of  
physics are mathematical abstractions, the obvious questions is  
Abstractions from what?
Abstractions from physical events.  We find we can leave out stuff  
like the location (and so conserve momentum) and the position of  
distant galaxies and the name of the experimenter and which god he  
prays to etc.  Of course what we can leave out and what we must  
include is part of applying the theory.  Physicists work by  
considering simple experiments in which they can leave out as much  
stuff they're not interested in as possible in order to test their  
theory.  Engineers don't get to be so choosy about what's left out;  
they have to consider what events may obtain.  But they also get to  
throw in safety factors to mitigate their ignorance.


In other words, in this account, the pre-existing physical world is  
taken as a given, from which laws are simplified abstractions. Fine,  
that's the way I think it is.


No problem when doing physics. But when working on the mind-body  
problem, we get reason to think that is not the way things are.  
Physics needs not to be physicalist, even if it is so FAPP.


Bruno




Bruce

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Re: The scope of physical law and its relationship to the substitution level

2015-06-07 Thread John Clark
On Sat, Jun 6, 2015  Bruno Marchal marc...@ulb.ac.be wrote:

 An event is just a place and a time; are you saying that mathematics is
 incapable of handling 4 coordinates?


  Of course, applied mathematics exists, and you can represent event in
 mathematics, but you shopuld not confuse something (a physical event) and
 its mathematical representation.


I am not confusing that but I think sometimes you might be confusing a
physical thing with the language (mathematics) the descriptive
representation of the thing is presented in. Or maybe not, maybe you're
right and mathematics is more than just a language and is more fundamental
than physics; nobody knows including you.

 but if something requires an infinite number of steps to determine what
 it will do its not very deterministic.


  It is, when you agree to apply the excluded middle on the arithmetical
 proposition, or actually it is enough to believe that a closed Turing
 machine stop or does not stop.


Deterministic perhaps, but not predictable even in theory.

 Bullshit. I have never argued anything about comp1 and never will
 because I'm sick to death with comp of any variety.



 In some post you argued once that comp1 is trivial,

  ?


!

 I remember you said that comp as I meant it is trivially, true, is wrong
 (btw). If you don't remember what you post, the conversation might loss its
 meaning.


Half of your theory is true but trivial, the other half is not trivial and
not true. As for comp... I have so often heard you say according to comp
blah blah that I no longer know what your silly little homemade slang word
is supposed to mean, but I do know it can't mean Computationalism. And now
dear god we've got comp1 and comp2 to add to the mix!

  John K Clark

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Re: The scope of physical law and its relationship to the substitution level

2015-06-07 Thread Bruno Marchal


On 05 Jun 2015, at 20:35, John Clark wrote:


On Fri, Jun 5, 2015 Bruno Marchal marc...@ulb.ac.be wrote:

 Event is a physical notion. Algorithmic non compressibility is  
an mathematical notion.


An event is just a place and a time; are you saying that mathematics  
is incapable of handling 4 coordinates?


Of course, applied mathematics exists, and you can represent event in  
mathematics, but you shopuld not confuse something (a physical event)  
and its mathematical representation.







 Nothing caused the 9884th digit of a random number to be a 6  
rather than some other digit, and that is the one and only reason it  
is NOT algorithmically incompressible. But something did cause the  
9884th digit of PI to be a 4 and not some other digit, and that's  
why PI IS algorithmically compressible.


 I have a counter-example to your claim. Fix a universal system. It  
determines completely its Chaitin number, yet it is algorithmically  
incompressible.


I don't know what you mean by fix


I mean choose one. If you take a Fortran universal interpreter, you  
can define its Chaitin number. The Chaitin number is relative to the  
choice of a universal system.




but if something requires an infinite number of steps to determine  
what it will do its not very deterministic.


It is, when you agree to apply the excluded middle on the arithmetical  
proposition, or actually it is enough to believe that a closed Turing  
machine stop or does not stop.






 In some post you argued once that comp1 is trivial,

Bullshit. I have never argued anything about comp1 and never will  
because I'm sick to death with comp of any variety.


?

I remember you said that comp as I meant it is trivially, true, is  
wrong (btw). If you don't remember what you post, the conversation  
might loss its meaning.



Bruno








 If time or space is quantized as most physicists think it is then  
the real numbers are just a simplified approximation of what happens  
in the physical world.


 Typically, physical quantization is defined by using complex  
numbers.


Because even if space and time are quantized the discrete steps are  
so little that complex numbers are a good approximation of the  
physical world unless you're dealing with things that are ultra  
super small.


 But again, the point was just that CT does not refer to physics.

Bullshit.

 Computationalism says you can make matter behave intelligently if  
you organize it in certain ways,


 That is a rephrasing of computationalism, and what you say follow  
from it, but the more precise and general version is that you stay  
conscious [...]


To hell with consciousness! Figure out how intelligence works and  
then worry about consciousness.


 maybe that matter is primitive and maybe it is not but there has  
been a enormous amount of progress in recent years with AI  
demonstrating that Computationalism is probably true. There has been  
zero progress demonstrating that mathematics can behave intelligently.


 Mathematics does not belong to the category of things which can  
behave.


That is a HUGE admission on your part, if it is true (and I don't  
know if it is or not) then the debate is over and physics is more  
fundamental than mathematics.  End of story.


 But mathematics, and actually just arithmetic can define relative  
entities behaving relatively to universal number


And I can define a new integer that has never been seen before, I  
call it fluxdige and it's definition is that it's equal to 2+2 but  
it's not equal to 4. You can't make a calculation with a definition!


 Nobody has shown the existence of primitive mathematics either.

 Primitive means that we have to assume it. Logicians have prove  
that arithmetic, or universality, is primitive in the sense that you  
cannot derive arithmetic, or the existence of universal numbers,  
without assuming less than that.


When Peano came up with the integers he had to first assume that the  
number 1 existed and then he came up with rules to generate its  
successor, but if the physical universe did not exist, if there were  
ZERO things in it, then it's not at all obvious that the number 1  
would exist. Maybe it would and maybe it wouldn't, I don't know. One  
of your Greek buddies Socrates said that the first step toward  
wisdom is knowing when you don't know.  So if Socrates was right  
then I'm wiser than you are.


 Computations have been discovered in mathematics. All textbooks in  
the filed explains that.


You can't make a computation with a textbook!

 You can't make a calculation with a definition!

 You can.

Then stop talking about it and just do it!

 And if it is simple enough, you can do that mentally. You will  
tell me that in this case we still need a physical brain


Indeed I will.

 but this can be a local relative notion,

Local? A good rule of thumb is that if a theory says Local means  
the entire multiverse then things may be getting out of hand.


 I say compute means 

Re: The scope of physical law and its relationship to the substitution level

2015-06-07 Thread Bruno Marchal


On 05 Jun 2015, at 21:03, John Clark wrote:


On Fri, Jun 5, 2015 Bruno Marchal marc...@ulb.ac.be wrote:

 Do you agree that the simulated john Clark will still complain  
that matter is missing in computation, despite we know that he  
refers to number relations, without knowing it?


If the simulation had been done correctly then the simulated John  
Clark will have the same opinions I do including reservations about  
computations being made without matter. If the simulation was being  
performed on a computer made of matter then the reservations were  
justified, if the simulation was being performed by pure mathematics  
and nothing else then they were not.


You need also the Pope to bless the matter, I think.

Bruno




  John K Clark






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Re: The scope of physical law and its relationship to the substitution level

2015-06-07 Thread LizR
On 8 June 2015 at 11:14, meekerdb meeke...@verizon.net wrote:

  On 6/7/2015 3:00 PM, LizR wrote:

  On 8 June 2015 at 05:08, Bruno Marchal marc...@ulb.ac.be wrote:


  On 07 Jun 2015, at 18:35, John Clark wrote:

  On Sat, Jun 6, 2015  Bruno Marchal marc...@ulb.ac.be wrote:

An event is just a place and a time; are you saying that
 mathematics is incapable of handling 4 coordinates?


   Of course, applied mathematics exists, and you can represent event
 in mathematics, but you shopuld not confuse something (a physical event)
 and its mathematical representation.


  I am not confusing that but I think sometimes you might be confusing a
 physical thing with the language (mathematics) the descriptive
 representation of the thing is presented in. Or maybe not, maybe you're
 right and mathematics is more than just a language and is more fundamental
 than physics; nobody knows including you.

 Nobody can know. But we can reason from hypothesis. With the
 computationalist hypothesis, the immateriality of consciousness is
 contagious on the possible environment.  Nobody pretends this is obvious,
 especially for people stuck at the step 3.

   The question being asked is, why hypothesis best explains
 consciousness? Comp attempts to take the default materialist assumption,
 that consciousness is a (very, very complicated) form of computation, and
 to derive results from that assumption.

  Hence what I've called comp1 is the default materialist hypothesis (also
 known as the strong AI thesis, I think) - this is more or less equivalent
 to the idea that a computer could, given a suitable programme and
 resources, be conscious. From this Bruno attempts to show, via a chain of
 reasoning, that the computations involved have to take place in
 arithmetical reality (Platonia). This conclusion I call comp2. The task
 of anyone who disagrees is simply to show that comp2 doesn't follow from
 comp1.

  There are various ways to try to show this. One is to doubt the starting
 assumptions (comp1). The starting assumptions include the idea that
 simple arithmetic exists independently of mathematicians - that 2+2=4 was
 true in the big bang, for example.


 I think that assumes that true and exist are the same thing.  One can
 affirm that Watson was Holmes assistant without admitting that either one
 existed.  So while everyone agrees that 2+2=4 by definition, it's not so
 clear that arithmetic objects exist.

 Yes, of course it isn't clear. But 2+2=4 isn't by definition it's the
result of empirical observation of - as John wuold say - material objects.

   The universe appears to obey certain bits of methematics to high
 precision, or alternatively you could say that various bits of maths appear
 to correctly describe the behaviour of the universe and its constituents to
 high precision. So that is the which comes first? question, which as you
 correctly say we can't know (indeed we can't know anything, if know means
 justified true belief, apart from the fact that we are conscious, as
 Descartes mentioned).


 Note that Bruno rejects the conditioning on justified.  Plato's
 Theaetetus dialogue defines knowledge as true belief.  I think that's
 a deficiency in modal logic insofar as it's supposed to formalize good
 informal reasoning.  But I can see why it's done; it's difficult if not
 impossible to give formal definition of justified.

 Yes.

   So one can doubt comp1 by doubting either that consciousness is a
 computation, or that maths exists independently of mathematicians.

  Then one can doubt the steps of the argument. I personally find little
 to doubt, assuming comp1, until we reach step 7 or 8, or whichever step is
 the MGA. (There has been a lot of heat about pronouns, but as far as I can
 see this hasn't made a dent in the arguments presented.)

  So the other main point of attack is at the comp2 end, so to speak, with
 the MGA. There is Brent's light cone argument, which IMHO seems
 unconvincing because one can make a cut between a brain and the world
 along the sensory nerves - this is basically saying that a person could be
 a brain in a vat, and never know it. But it also fails if one can in theory
 have an AI, because an AI is by hyopthesis a digital machine and could
 therefore could be re-run and given the same inputs, and due to the nature
 of computation would have to repeat the same conscious experiences.


 Both of those scenarios assume that there was an external world with which
 the brain/AI was related to in the past and which provides meaning to the
 computational processes that are *ex hypothesi* now isolated from the
 world.  The relation need not even be direct, i.e. the AI was constructed
 by a programmer whose knowledge of the world provides the meaning.  But
 without some such relation it's hard to say that the computational
 processes are *about* anything, that they are not just noise.


Yes, that's the problem in a nutshell - why aren't conscious computations
just noise? (Or are 

Re: The scope of physical law and its relationship to the substitution level

2015-06-07 Thread Stathis Papaioannou
On Monday, June 8, 2015, LizR lizj...@gmail.com wrote:

 On 8 June 2015 at 05:08, Bruno Marchal marc...@ulb.ac.be
 javascript:_e(%7B%7D,'cvml','marc...@ulb.ac.be'); wrote:


 On 07 Jun 2015, at 18:35, John Clark wrote:

 On Sat, Jun 6, 2015  Bruno Marchal marc...@ulb.ac.be
 javascript:_e(%7B%7D,'cvml','marc...@ulb.ac.be'); wrote:

  An event is just a place and a time; are you saying that mathematics
 is incapable of handling 4 coordinates?


  Of course, applied mathematics exists, and you can represent event in
 mathematics, but you shopuld not confuse something (a physical event) and
 its mathematical representation.


 I am not confusing that but I think sometimes you might be confusing a
 physical thing with the language (mathematics) the descriptive
 representation of the thing is presented in. Or maybe not, maybe you're
 right and mathematics is more than just a language and is more fundamental
 than physics; nobody knows including you.

 Nobody can know. But we can reason from hypothesis. With the
 computationalist hypothesis, the immateriality of consciousness is
 contagious on the possible environment.  Nobody pretends this is obvious,
 especially for people stuck at the step 3.

 The question being asked is, why hypothesis best explains consciousness?
 Comp attempts to take the default materialist assumption, that
 consciousness is a (very, very complicated) form of computation, and to
 derive results from that assumption.

 Hence what I've called comp1 is the default materialist hypothesis (also
 known as the strong AI thesis, I think) - this is more or less equivalent
 to the idea that a computer could, given a suitable programme and
 resources, be conscious. From this Bruno attempts to show, via a chain of
 reasoning, that the computations involved have to take place in
 arithmetical reality (Platonia). This conclusion I call comp2. The task
 of anyone who disagrees is simply to show that comp2 doesn't follow from
 comp1.

 There are various ways to try to show this. One is to doubt the starting
 assumptions (comp1). The starting assumptions include the idea that
 simple arithmetic exists independently of mathematicians - that 2+2=4 was
 true in the big bang, for example. The universe appears to obey certain
 bits of methematics to high precision, or alternatively you could say that
 various bits of maths appear to correctly describe the behaviour of the
 universe and its constituents to high precision. So that is the which
 comes first? question, which as you correctly say we can't know (indeed we
 can't know anything, if know means justified true belief, apart from the
 fact that we are conscious, as Descartes mentioned). So one can doubt comp1
 by doubting either that consciousness is a computation, or that maths
 exists independently of mathematicians.

 Then one can doubt the steps of the argument. I personally find little to
 doubt, assuming comp1, until we reach step 7 or 8, or whichever step is the
 MGA. (There has been a lot of heat about pronouns, but as far as I can see
 this hasn't made a dent in the arguments presented.)

 So the other main point of attack is at the comp2 end, so to speak, with
 the MGA. There is Brent's light cone argument, which IMHO seems
 unconvincing because one can make a cut between a brain and the world
 along the sensory nerves - this is basically saying that a person could be
 a brain in a vat, and never know it. But it also fails if one can in theory
 have an AI, because an AI is by hyopthesis a digital machine and could
 therefore could be re-run and given the same inputs, and due to the nature
 of computation would have to repeat the same conscious experiences. And
 then that description falls foul of Bruno/Maudlin's argument about leeching
 away the material support for the computation until it is turned into a
 replayed recording. At this point we can use Russell's paradox - sorry, I
 mean argument - that a recording of such complexity may indeed be
 conscious. The MGA seems to hand-wave a bit about this whole process - like
 the Chinese room, we simply record the activities of the processing
 devices and then simply' project the movie onto the system, and so on,
 leaving aside the Vast size of the envisaged apparatus. Nevertheless, if we
 assume comp1 then we assume by hypothesis that a recording isn't conscious
 (only a computation can be conscious, according to comp1).


It seems here that you've snuck an extra assumption into comp1. We know
that brains can be conscious, and we assume that computations can also be
conscious. But that doesn't mean that only computations can be conscious,
nor does it mean that brains are computations. These two latter statements
might be true, but they are not necessarily true, even given
 computationalism.


 So that's really a comp1 objection.

 So the question in the end is which is the most reasonable hypothesis. How
 does materialism explain consciousness? How does comp explain the
 appearance of a material 

Re: The scope of physical law and its relationship to the substitution level

2015-06-07 Thread LizR
On 8 June 2015 at 05:08, Bruno Marchal marc...@ulb.ac.be wrote:


 On 07 Jun 2015, at 18:35, John Clark wrote:

 On Sat, Jun 6, 2015  Bruno Marchal marc...@ulb.ac.be wrote:

  An event is just a place and a time; are you saying that mathematics is
 incapable of handling 4 coordinates?


  Of course, applied mathematics exists, and you can represent event in
 mathematics, but you shopuld not confuse something (a physical event) and
 its mathematical representation.


 I am not confusing that but I think sometimes you might be confusing a
 physical thing with the language (mathematics) the descriptive
 representation of the thing is presented in. Or maybe not, maybe you're
 right and mathematics is more than just a language and is more fundamental
 than physics; nobody knows including you.

 Nobody can know. But we can reason from hypothesis. With the
 computationalist hypothesis, the immateriality of consciousness is
 contagious on the possible environment.  Nobody pretends this is obvious,
 especially for people stuck at the step 3.

 The question being asked is, why hypothesis best explains consciousness?
Comp attempts to take the default materialist assumption, that
consciousness is a (very, very complicated) form of computation, and to
derive results from that assumption.

Hence what I've called comp1 is the default materialist hypothesis (also
known as the strong AI thesis, I think) - this is more or less equivalent
to the idea that a computer could, given a suitable programme and
resources, be conscious. From this Bruno attempts to show, via a chain of
reasoning, that the computations involved have to take place in
arithmetical reality (Platonia). This conclusion I call comp2. The task
of anyone who disagrees is simply to show that comp2 doesn't follow from
comp1.

There are various ways to try to show this. One is to doubt the starting
assumptions (comp1). The starting assumptions include the idea that
simple arithmetic exists independently of mathematicians - that 2+2=4 was
true in the big bang, for example. The universe appears to obey certain
bits of methematics to high precision, or alternatively you could say that
various bits of maths appear to correctly describe the behaviour of the
universe and its constituents to high precision. So that is the which
comes first? question, which as you correctly say we can't know (indeed we
can't know anything, if know means justified true belief, apart from the
fact that we are conscious, as Descartes mentioned). So one can doubt comp1
by doubting either that consciousness is a computation, or that maths
exists independently of mathematicians.

Then one can doubt the steps of the argument. I personally find little to
doubt, assuming comp1, until we reach step 7 or 8, or whichever step is the
MGA. (There has been a lot of heat about pronouns, but as far as I can see
this hasn't made a dent in the arguments presented.)

So the other main point of attack is at the comp2 end, so to speak, with
the MGA. There is Brent's light cone argument, which IMHO seems
unconvincing because one can make a cut between a brain and the world
along the sensory nerves - this is basically saying that a person could be
a brain in a vat, and never know it. But it also fails if one can in theory
have an AI, because an AI is by hyopthesis a digital machine and could
therefore could be re-run and given the same inputs, and due to the nature
of computation would have to repeat the same conscious experiences. And
then that description falls foul of Bruno/Maudlin's argument about leeching
away the material support for the computation until it is turned into a
replayed recording. At this point we can use Russell's paradox - sorry, I
mean argument - that a recording of such complexity may indeed be
conscious. The MGA seems to hand-wave a bit about this whole process - like
the Chinese room, we simply record the activities of the processing
devices and then simply' project the movie onto the system, and so on,
leaving aside the Vast size of the envisaged apparatus. Nevertheless, if we
assume comp1 then we assume by hypothesis that a recording isn't conscious
(only a computation can be conscious, according to comp1). So that's really
a comp1 objection.

So the question in the end is which is the most reasonable hypothesis. How
does materialism explain consciousness? How does comp explain the
appearance of a material universe?

Over to you.

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Re: The scope of physical law and its relationship to the substitution level

2015-06-07 Thread LizR
Must re-read my posts before sending.

That should of course be which hypothesis, not why (D'oh!)

And I seem to have too many coulds ...Oh well.

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Re: The scope of physical law and its relationship to the substitution level

2015-06-07 Thread meekerdb

On 6/7/2015 3:00 PM, LizR wrote:

On 8 June 2015 at 05:08, Bruno Marchal marc...@ulb.ac.be 
mailto:marc...@ulb.ac.be wrote:


On 07 Jun 2015, at 18:35, John Clark wrote:

On Sat, Jun 6, 2015  Bruno Marchal marc...@ulb.ac.be 
mailto:marc...@ulb.ac.be
wrote:

 An event is just a place and a time; are you saying that 
mathematics is
incapable of handling 4 coordinates? 



 Of course, applied mathematics exists, and you can represent event in 
mathematics, but you
shopuld not confuse something (a physical event) and its mathematical
representation.


I am not confusing that but I think sometimes you might be confusing a 
physical
thing with the language (mathematics) the descriptive representation of the 
thing
is presented in. Or maybe not, maybe you're right and mathematics is more 
than just
a language and is more fundamental than physics; nobody knows including you.

Nobody can know. But we can reason from hypothesis. With the 
computationalist
hypothesis, the immateriality of consciousness is contagious on the possible
environment.  Nobody pretends this is obvious, especially for people stuck 
at the
step 3.

The question being asked is, why hypothesis best explains consciousness? Comp attempts 
to take the default materialist assumption, that consciousness is a (very, very 
complicated) form of computation, and to derive results from that assumption.


Hence what I've called comp1 is the default materialist hypothesis (also known as the 
strong AI thesis, I think) - this is more or less equivalent to the idea that a computer 
could, given a suitable programme and resources, be conscious. From this Bruno attempts 
to show, via a chain of reasoning, that the computations involved have to take place in 
arithmetical reality (Platonia). This conclusion I call comp2. The task of anyone who 
disagrees is simply to show that comp2 doesn't follow from comp1.


There are various ways to try to show this. One is to doubt the starting assumptions 
(comp1). The starting assumptions include the idea that simple arithmetic exists 
independently of mathematicians - that 2+2=4 was true in the big bang, for example.


I think that assumes that true and exist are the same thing. One can affirm that 
Watson was Holmes assistant without admitting that either one existed.  So while everyone 
agrees that 2+2=4 by definition, it's not so clear that arithmetic objects exist.


The universe appears to obey certain bits of methematics to high precision, or 
alternatively you could say that various bits of maths appear to correctly describe the 
behaviour of the universe and its constituents to high precision. So that is the which 
comes first? question, which as you correctly say we can't know (indeed we can't know 
anything, if know means justified true belief, apart from the fact that we are 
conscious, as Descartes mentioned).


Note that Bruno rejects the conditioning on justified.  Plato's Theaetetus dialogue 
defines knowledge as true belief.  I think that's a deficiency in modal logic insofar 
as it's supposed to formalize good informal reasoning.  But I can see why it's done; it's 
difficult if not impossible to give formal definition of justified.


So one can doubt comp1 by doubting either that consciousness is a computation, or that 
maths exists independently of mathematicians.


Then one can doubt the steps of the argument. I personally find little to doubt, 
assuming comp1, until we reach step 7 or 8, or whichever step is the MGA. (There has 
been a lot of heat about pronouns, but as far as I can see this hasn't made a dent in 
the arguments presented.)


So the other main point of attack is at the comp2 end, so to speak, with the MGA. There 
is Brent's light cone argument, which IMHO seems unconvincing because one can make a 
cut between a brain and the world along the sensory nerves - this is basically saying 
that a person could be a brain in a vat, and never know it. But it also fails if one can 
in theory have an AI, because an AI is by hyopthesis a digital machine and could 
therefore could be re-run and given the same inputs, and due to the nature of 
computation would have to repeat the same conscious experiences.


Both of those scenarios assume that there was an external world with which the brain/AI 
was related to in the past and which provides meaning to the computational processes that 
are /ex hypothesi/ now isolated from the world.  The relation need not even be direct, 
i.e. the AI was constructed by a programmer whose knowledge of the world provides the 
meaning.  But without some such relation it's hard to say that the computational processes 
are *about* anything, that they are not just noise.


And then that description falls foul of Bruno/Maudlin's argument about leeching away the 
material support for the computation until it is turned into a replayed recording. At 
this point we can use Russell's 

Re: The scope of physical law and its relationship to the substitution level

2015-06-07 Thread John Clark
On Sun, Jun 7, 2015  Bruno Marchal marc...@ulb.ac.be wrote:

 that is enough to conceive the set of the Gödel number of true sentences
 of arithmetic, and prove theorems about that set. That set can be defined
 in standard set theory


YOU CAN'T MAKE A COMPUTATION WITH A DEFINITION!

 Half of your theory is true but trivial, the other half is not trivial
 and not true.


  You don't know the other half. You said repeatedly that you never find
 the need to read after step 3.


Because step 3 of you proof was S-T-U-P-I-D. Fix it and I'll keep reading
until I see the next stupid thing.  .

 John K Clark





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Re: The scope of physical law and its relationship to the substitution level

2015-06-07 Thread John Clark
On Sun, Jun 7, 2015 at meekerdb meeke...@verizon.net wrote:


  everyone agrees that 2+2=4 by definition, it's not so clear that
 arithmetic objects exist.


If 2+2=4 exists then 2+2=5 does too. Platonia may contain all true
statements but it contains all false statement as well and even Platonia
has no way to completely separate the two. And there are many ways to be
wrong but only one way to be right.

  John K Clark

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Re: The scope of physical law and its relationship to the substitution level

2015-06-06 Thread John Clark
On Fri, Jun 5, 2015  Bruce Kellett bhkell...@optusnet.com.au wrote:

 So what is this lot of stuff that the mathematical abstractions leave
 out?


Newton's mathematical abstractions leave out how 3 bodies of similar mass
interact. Einstein's General Relativity field equations leave out the 3
body problem too, and also leaves out all the forces of nature except
gravity, and Einstein leaves out what gravity does when things become both
very small and very massive. And the equations of Quantum Mechanics leave
out gravity and Dark Matter. And every mathematical abstraction known leaves
out Dark Energy which makes up about 3/4 of the mass/energy of the
universe; nobody has a clue what that's all about, it's the deepest mystery
in physics.

  John K Clark

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Re: The scope of physical law and its relationship to the substitution level

2015-06-06 Thread John Clark
On Sat, Jun 6, 2015  meekerdb meeke...@verizon.net wrote:

  In a Newtonian world physics is deterministic


Yes, but deterministic is not the same as predictable.


  so there is an exact solution:


That doesn't necessarily follow. Approximations can be made but in general
an exact solution to the 3 body problem would require an infinite (and not
just astronomical) number of numerical calculations.

 numerical predictions can be good for a long time


How long the prediction remains good depends on how strong the
gravitational field is and how rapidly it changes with distance; the
greater the strength and rate of change the worse prediction.

 John K Clark

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Re: The scope of physical law and its relationship to the substitution level

2015-06-06 Thread John Clark
On Fri, Jun 5, 2015 , LizR lizj...@gmail.com wrote:

 (very much in theory) a TOE would describe everything - it would in
 principle be like Laplace's demon (though possibly only for a multiverse).


Laplace's demon could make predictions and that is far more difficult than
just making a description. Even if the world worked according to Newtonian
physics you couldn't predict how 3 bodies of similar mass will interact
over the long term, you could do it for 2 bodies and there are a few very
specific orbits you can do it for 3 bodies but in general if there are 3
you can only make approximations, there is no exact solution that is
general, so the longer the prediction of where the 3 bodies will be the
more inaccurate it will be.

  John K Clark








On 6 June 2015 at 09:46, meekerdb meeke...@verizon.net wrote:

  On 6/5/2015 12:22 PM, John Clark wrote:

  On Fri, Jun 5, 2015 , meekerdb meeke...@verizon.net wrote:

   It's very relevant if you want to know what is a simplified
 approximation of what. And we both agree that a electronic computer is
 vastly more complex than it's logical schematic, so why can we make a
 working model of the complex thing but not make a working model of the
 simple thing when usually it's easier to make a simple thing than a complex
 thing? The only answer that comes to mind is that particular simplified
 approximation is just too simplified and just too approximate to actually
 do anything. That simplification must be missing something important,
 matter that obeys the laws of physics.



The trouble with this argument is that the laws of physics are
 mathematical abstractions.


  Mathematicians are always saying that mathematics is a language, but
 what would be the consequences if that were really true? The best way known
 to describe the laws of physics is to write then in the language of
 mathematics, but a language is not the thing the language is describing.


 I agree the laws of physics are descriptions we invent; but even so they
 are abstractions and not material and what they define is only an
 approximation to what happens in the world.  That's what makes them useful
 - they let us make predictions while leaving out a lot of stuff.

 I know what you mean, but this statement could be considered a bit
 misleading. Unlike the other branches of science, physics at least tries to
 be a complete description. Of course it fails in practice, but (very much
 in theory) a TOE would describe everything - it would in principle be like
 Laplace's demon (though possibly only for a multiverse).

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Re: The scope of physical law and its relationship to the substitution level

2015-06-06 Thread meekerdb

On 6/6/2015 10:24 AM, John Clark wrote:

On Fri, Jun 5, 2015 , LizR lizj...@gmail.com mailto:lizj...@gmail.com wrote:

 (very much in theory) a TOE would describe everything - it would in principle 
be like Laplace's
demon (though possibly only for a multiverse).


Laplace's demon could make predictions and that is far more difficult than just making a 
description. Even if the world worked according to Newtonian physics you couldn't 
predict how 3 bodies of similar mass will interact over the long term, you could do it 
for 2 bodies and there are a few very specific orbits you can do it for 3 bodies but in 
general if there are 3 you can only make approximations, there is no exact solution that 
is general, so the longer the prediction of where the 3 bodies will be the 
more inaccurate it will be.


In a Newtonian world physics is deterministic, so there is an exact solution: the 
integration of the differential equations of motion. But in general there's no closed form 
solution in terms of simple functions.  The differential equations are sensitive to 
initial conditions but even so numerical predictions can be good for a long time, as 
evidenced by predictions of planetary positions.  There's a nice simulation of the chaotic 
motion of Nix, one of the moons of Pluto at


http://arstechnica.com/science/2015/06/chaotic-orbital-interactions-keep-flipping-plutos-moons/

Note the speedup.

Brent

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Re: The scope of physical law and its relationship to the substitution level

2015-06-05 Thread Bruno Marchal


On 05 Jun 2015, at 07:33, John Clark wrote:


Bruno Marchal marc...@ulb.ac.be wrote:

 The physical device is far more complex than the algorithm,  
astronomically more complex, so you tell me which is a simplified  
approximation of which.


 The physical device is no more relevant to the algorithm than any  
other universal system.
Yes, an algorithm is a simplified approximation of the way a real  
computer works, and in general good simplified approximations work  
with a large number of real world situations.


And so can be indeopendent of them, and belong to another realm, like  
logic and arithmetic. But, actually, you are wrong. Computations have  
been discovered by mathematicians (who were unaware of Babbage), and  
computer have been constructed after.




 You can implement the factorial in fortran, and you can implement  
fortran in lisp, and you can implement lisp
Correct again, but whatever language you implement your algorithm in  
it must be implemented in matter that obeys the laws of physics  
because you can't make a calculation with software alone.




But the goal of making real-life computations is not our goal. Your  
remark remains non relevant.
Eventually we will have to explain real-life appearances by an  
internal statistics on the computations existing in arithmetic.






 The level of complexity is not relevant here.

It's very relevant if you want to know what is a simplified  
approximation of what. And we both agree that a electronic computer  
is vastly more complex than it's logical schematic, so why can we  
make a working model of the complex thing but not make a working  
model of the simple thing when usually it's easier to make a simple  
thing than a complex thing? The only answer that comes to mind is  
that particular simplified approximation is just too simplified and  
just too approximate to actually do anything. That simplification  
must be missing something important, matter that obeys the laws of  
physics.


If you agree that the math notion of computation miss something  
(matter), then you agree that they are mathematical. Now, when a the  
Milky Way is emulated by arithmetic below our substitution level,  
explain me how the simulated humans can guess that matter is missing.  
Do you agree that the simulated john Clark will still complain that  
matter is missing in computation, despite we know that he refers to  
number relations, without knowing it?


Bruno





  John K Clark

  John K Clark




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



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Re: The scope of physical law and its relationship to the substitution level

2015-06-05 Thread Bruno Marchal


On 04 Jun 2015, at 19:54, John Clark wrote:


On Thu, Jun 4, 2015 Bruno Marchal marc...@ulb.ac.be wrote:

  or A string which is not algorithmically compressible,

 Yes, that is a very good example of an event without a cause.


 Event is a physical notion. Algorithmic non compressibility is  
an mathematical notion.


Nothing caused the 9884th digit of a random number to be a 6 rather  
than some other digit, and that is the one and only reason it is NOT  
algorithmically incompressible. But something did cause the 9884th  
digit of PI to be a 4 and not some other digit, and that's why PI IS  
algorithmically compressible.



I have a counter-example to your claim. Fix a universal system. It  
determines completely its Chaitin number, yet it is algorithmically  
incompressible. Same with Post number: that one is compressible, yet  
most of its digital are not computable, although completely  
deterlmined, if you agree that a close machine (a machine activated on  
some input) either stop or does not stop.





  But that is not yet proven too, as comp implies there is  
something non computable, but it might be just the FPI and the  
quantum FPI confirms this.
 I don't care, I'm not interested in comp or of the Foreign  
Policy Institute.




  If you don't care, you would abandon the idea of showing that  
comp1 does not imply comp2


And I'm even less interested in comp1 and comp2 whatever the  
hell they are supposed to be.


In some post you argued once that comp1 is trivial, and that we need  
to be irrational to believe in the negation of computationalism.

So you start again your dismissive rhetorical maneuvers.






   Physics use a lot of non computable things in the background.

  Name one.

 The set of real numbers.

If time or space is quantized as most physicists think it is then  
the real numbers are just a simplified approximation of what happens  
in the physical world.


Typically, physical quantization is defined by using complex numbers.



Even mathematicians are starting to have reservations about the real  
numbers, even   Gregory Chaitin has started to distrust them and  
ironically his greatest claim to fame came from discovering (or  
maybe inventing) a particular real number, the Omega.


Mathematicians have some problem with the real numbers since the  
beginning. Most are solved by method usuallu judged to rough, like an  
axiomatic set theory, etc. It is on analysis that intuitionist  
mathematics and clmassical mathematics differ the most. In theoretical  
computer science we can justify the needs of non constructive method,  
as very often there is provably no constructive tools available, and  
it is part of the subject. But again, the point was just that CT does  
not refer to physics. And yes CT entails incompleteness and the  
existence of non computable functions and of algorithmically non  
soluble problems.








 It is intuitively obvious that no computation can be made  
without the use of matter that obeys the laws of physics.


 made is ambiguous.

 Bullshit.


 Did you mean made in the physical reality, by a physical  
universal machine,


Of course I mean that!

 or did you mean made by a immaterial universal machine, like  
Robinson Arithmetic?


Of course I don't mean that, unless you know how to build a  
immaterial machine with material! Couldn't you have figured this out  
by yourself?


It is easy to implement an immaterial machine with matter, like you  
can represent the abstract number 2 with two pebbles.







 I say that computationalism is false, because you use primitive  
matter.


Computationalism says you can make matter behave intelligently if  
you organize it in certain ways,


That is a rephrasing of computationalism, and what you say follow from  
it, but the more precise and general version is that you stay  
conscious (and don't see any difference) when simulated at the right  
level (which existence is assumed), and that will entail that we can't  
distinguish a physical computation from a purely arithmetical one, by  
pure introspection (without clues from observation).





maybe that matter is primitive and maybe it is not but there has  
been a enormous amount of progress in recent years with AI  
demonstrating that Computationalism is probably true. There has been  
zero progress demonstrating that mathematics can behave intelligently.


Mathematics does not belong to the category of things which can behave.
But mathematics, and actually just arithmetic, can define relative  
entities behaving relatively to universal number, and that is known  
since Post, Turing, etc.





 Why should we abandon computationalism, given that nobody has ever  
show the existence of primitive matter?


Nobody has shown the existence of primitive mathematics either.


Primitive means that we have to assume it. Logicians have prove that  
arithmetic, or universality, is primitive in the sense that you cannot  
derive arithmetic, or the existence 

Re: The scope of physical law and its relationship to the substitution level

2015-06-05 Thread Bruno Marchal


On 05 Jun 2015, at 06:59, John Clark wrote:


On Thu, Jun 4, 2015 , Bruno Marchal marc...@ulb.ac.be wrote:

 The point is just that the notion of computation, once you agree  
with Church-Turing thesis, is made into a purely arithmetical notion.


That is incorrect. The Church-Turing thesis says that a function on  
the positive and negative integers is computable if and only if it  
is computable on a Turing Machine; and if the Turing Machine is not  
made of matter that obeys the laws of physics then the machine is  
useless because it does absolutely positively nothing.



I begin to think that you are attempting to become the champion of  
nonsense.


Turing machine are not made of matter, and computation is definable in  
arithmetic, just using the symbol s, 0, + * and the usual logical  
symbol. We can even eliminate the A (for all) quantifier.






 You can define computable and finite piece of computation by one  
precise combinators, or one precise number, or one precise  
diophantine polynomials, etc.


YOU CAN'T MAKE A COMPUTATION WITH A DEFINITION!!


But the point is that we dont have to made them once you agree that  
2+2=4 does not depend on matter, and that is the case, by definition  
of the notions involved.






 You are the one invoking some God (Matter) capable of making some  
computation more real than others.


It could not be clearer that some calculations ARE more real than  
others.


Relatively? Sure. I have to pay by national taxes, that's real and  
important to avoid real problems, but that is not relevant. Again, you  
beg the question if you say that the physical computations are more  
real. you could say that only those blessed by the Pope are really  
real ...




Matter can make calculations that I can see, but your calculations  
are invisible;


Like the numbers. But in the computation which exist in arithmetic,  
some emulate person seeing object.


You could say that there is no real driving car, or any movement, in a  
block-universe, as there is no time there, and we need time to
measure the presence of movement. But we have no problem because those  
notions are relative. Similarly here. That is why the notions of  
points of view is capital in the computationalist approach.



the transubstantiation in the Catholic Mass that turns bread and  
wine into the body and blood of Jesus Christ is also invisible.  As  
I've said, being invisible and being nonexistent look rather similar


Assuming some aristotelian theological dogma.







 comp, explains the physical, from machine self-referential  
properties, and so can be translated in arithmetic to give the  
proposition logic of physics.


  I don't care, I'm not interested in comp.



Then why do you participate in this list where comp and its (meta)- 
physical consequences are discussed since about 20 years?


- You agree with the multiverse. Some (rare) physicists have  
criticized my thesis (without reading it) because they were told that  
I defend Everett, and that was enough for them, (which, btw, is false,  
as I do not defend any thesis).
- You agree with comp, and might be said being, like Hal Finney,  a  
real comp practitioners.

- You agree that physics might not be fundamental.

So what?

You would disagree only because you would have found a flaw in step 3,  
without ever being able to convince anyone on this?


or because, CT would use physics? (But you have not find serious  
confirmation on this on the net, and still deny).


or you want just be disagreeable?

or what?

I tell you that I can decompose step 3 in smaller steps, ... but  
recently, even 14 years old children told me that this was necessary  
only for the 12 years old one! Indeed, if you take the definition  
which are given, this is 3p obvious (and you said so yourself), so  
nobody in this list or elsewhere understand why you don't move on the  
other steps. Yet, you keep the tone everyone know that this is just  
peepee. That shows that it is purely rhetorical dismiss.


I am not sure I can see what is your problem.
It does look personal, given the constant ad hominem way of addressing  
the posts.


Bruno






  John K Clark



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Re: The scope of physical law and its relationship to the substitution level

2015-06-05 Thread meekerdb

On 6/4/2015 10:33 PM, John Clark wrote:

Bruno Marchal marc...@ulb.ac.be mailto:marc...@ulb.ac.be wrote:

 The physical device is far more complex than the algorithm, 
astronomically more
complex, so you tell me which is a simplified approximation of which.

 The physical device is no more relevant to the algorithm than any other 
universal
system. 

Yes, an algorithm is a simplified approximation of the way a real computer works, and in 
general good simplified approximations work with a large number of real world situations.


 You can implement the factorial in fortran, and you can implement fortran 
in lisp,
and you can implement lisp 

Correct again, but whatever language you implement your algorithm in it must be 
implemented in matter that obeys the laws of physics because you can't make a 
calculation with software alone.


 The level of complexity is not relevant here.


It's very relevant if you want to know what is a simplified approximation of what. And 
we both agree that a electronic computer is vastly more complex than it's logical 
schematic, so why can we make a working model of the complex thing but not make a 
working model of the simple thing when usually it's easier to make a simple thing than a 
complex thing? The only answer that comes to mind is that particular simplified 
approximation is just too simplified and just too approximate to actually do anything. 
That simplification must be missing something important, matter that obeys the laws of 
physics.


The trouble with this argument is that the laws of physics are mathematical 
abstractions.

Brent

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Re: The scope of physical law and its relationship to the substitution level

2015-06-05 Thread John Clark
On Fri, Jun 5, 2015 Bruno Marchal marc...@ulb.ac.be wrote:

 Event is a physical notion. Algorithmic non compressibility is an
 mathematical notion.


An event is just a place and a time; are you saying that mathematics is
incapable of handling 4 coordinates?


  Nothing caused the 9884th digit of a random number to be a 6 rather
 than some other digit, and that is the one and only reason it is NOT
 algorithmically incompressible. But something did cause the 9884th digit of
 PI to be a 4 and not some other digit, and that's why PI IS algorithmically
 compressible.


  I have a counter-example to your claim. Fix a universal system. It
 determines completely its Chaitin number, yet it is algorithmically
 incompressible.


I don't know what you mean by fix but if something requires an infinite
number of steps to determine what it will do its not very deterministic.

 In some post you argued once that comp1 is trivial,


Bullshit. I have never argued anything about comp1 and never will because
I'm sick to death with comp of any variety.

 If time or space is quantized as most physicists think it is then the
 real numbers are just a simplified approximation of what happens in the
 physical world.


  Typically, physical quantization is defined by using complex numbers.


Because even if space and time are quantized the discrete steps are so
little that complex numbers are a good approximation of the physical world
unless you're dealing with things that are ultra super small.


  But again, the point was just that CT does not refer to physics.


Bullshit.

 Computationalism says you can make matter behave intelligently if you
 organize it in certain ways,


  That is a rephrasing of computationalism, and what you say follow from
 it, but the more precise and general version is that you stay conscious
 [...]


To hell with consciousness! Figure out how intelligence works and then
worry about consciousness.

 maybe that matter is primitive and maybe it is not but there has been a
 enormous amount of progress in recent years with AI demonstrating that
 Computationalism is probably true. There has been zero progress
 demonstrating that mathematics can behave intelligently.


  Mathematics does not belong to the category of things which can behave.


That is a HUGE admission on your part, if it is true (and I don't know if
it is or not) then the debate is over and physics is more fundamental than
mathematics.  End of story.


  But mathematics, and actually just arithmetic can define relative
 entities behaving relatively to universal number


And I can define a new integer that has never been seen before, I call it
fluxdige and it's definition is that it's equal to 2+2 but it's not equal
to 4. You can't make a calculation with a definition!

 Nobody has shown the existence of primitive mathematics either.


  Primitive means that we have to assume it. Logicians have prove that
 arithmetic, or universality, is primitive in the sense that you cannot
 derive arithmetic, or the existence of universal numbers, without assuming
 less than that.


When Peano came up with the integers he had to first assume that the number
1 existed and then he came up with rules to generate its successor, but if
the physical universe did not exist, if there were ZERO things in it, then
it's not at all obvious that the number 1 would exist. Maybe it would and
maybe it wouldn't, I don't know. One of your Greek buddies Socrates said
that the first step toward wisdom is knowing when you don't know.  So if
Socrates was right then I'm wiser than you are.

 Computations have been discovered in mathematics. All textbooks in the
 filed explains that.


You can't make a computation with a textbook!

 You can't make a calculation with a definition!


  You can.


Then stop talking about it and just do it!


  And if it is simple enough, you can do that mentally. You will tell me
 that in this case we still need a physical brain


Indeed I will.

 but this can be a local relative notion,


Local? A good rule of thumb is that if a theory says Local means the
entire multiverse then things may be getting out of hand.

 I say compute means figuring out an answer, nobody has ever done this
 without using matter that obeys the laws of physics.


  You are right, but this does not prove that the notion of matter is used
 in the definition of computation.


Who cares about the damn definition? You can't make a computation with a
definition!


  To do something materially we need matter


Yes, but if mathematics is more fundamental than physics it's not obvious
why that should be the case.


  PA and formal systems compute things without doing the computation
 physically.


Bullshit.


  Kleene invented his famous predicate and got his normal form theorem for
 the computable function by using the arithmetical existence of the
 computations only.


Then why isn't there a Kleene Computer Corporation with a trillion dollar
valuation?

 If you know how to make 

Re: The scope of physical law and its relationship to the substitution level

2015-06-05 Thread John Clark
On Fri, Jun 5, 2015 at 8:15 AM, Bruno Marchal marc...@ulb.ac.be wrote:

 Turing machine are not made of matter,


If it's not made of matter then it's not a machine it's a Turing
Something and it can't do a damn thing.


  and computation is definable in arithmetic, just using the symbol s, 0,
 + * and the usual logical symbol.


YOU CAN'T MAKE A COMPUTATION WITH A DEFINITION!!


  But the point is that we dont have to made them once you agree that
 2+2=4 does not depend on matter,


But I don't agree that must be true, it's the very point we're debating. If
4 physical things did not exist in the physical universe or even 2 I don't
know if 2+2 would equal 4 or not and neither do you. If it does then
mathematics is more fundamental if it doesn't then physics is.

  John K Clark

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Re: The scope of physical law and its relationship to the substitution level

2015-06-05 Thread John Clark
On Fri, Jun 5, 2015 Bruno Marchal marc...@ulb.ac.be wrote:

 Do you agree that the simulated john Clark will still complain that
 matter is missing in computation, despite we know that he refers to number
 relations, without knowing it?


If the simulation had been done correctly then the simulated John Clark
will have the same opinions I do including reservations about computations
being made without matter. If the simulation was being performed on a
computer made of matter then the reservations were justified, if the
simulation was being performed by pure mathematics and nothing else then
they were not.

  John K Clark







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Re: The scope of physical law and its relationship to the substitution level

2015-06-05 Thread meekerdb

On 6/5/2015 12:22 PM, John Clark wrote:

On Fri, Jun 5, 2015 , meekerdb meeke...@verizon.net 
mailto:meeke...@verizon.net wrote:

 It's very relevant if you want to know what is a simplified 
approximation of
what. And we both agree that a electronic computer is vastly more 
complex than
it's logical schematic, so why can we make a working model of the 
complex thing
but not make a working model of the simple thing when usually it's 
easier to
make a simple thing than a complex thing? The only answer that comes to 
mind is
that particular simplified approximation is just too simplified and 
just too
approximate to actually do anything. That simplification must be missing
something important, matter that obeys the laws of physics.

 The trouble with this argument is that the laws of physics are 
mathematical abstractions.


Mathematicians are always saying that mathematics is a language, but what would be the 
consequences if that were really true? The best way known to describe the laws of 
physics is to write then in the language of mathematics, but a language is not the thing 
the language is describing.


I agree the laws of physics are descriptions we invent; but even so they are abstractions 
and not material and what they define is only an approximation to what happens in the 
world.  That's what makes them useful - they let us make predictions while leaving out a 
lot of stuff.


Brent

A book about Napoleon may be written in the English Language, but the English Language 
is not Napoleon and mathematics may not be the physical universe.


Or maybe it is. As I've said many times I'm playing devil's advocate here, maybe 
mathematics really is more fundamental than physics but if it is it has not been proven.


  John K Clark


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Re: The scope of physical law and its relationship to the substitution level

2015-06-05 Thread John Clark
On Fri, Jun 5, 2015 , meekerdb meeke...@verizon.net wrote:

 It's very relevant if you want to know what is a simplified
 approximation of what. And we both agree that a electronic computer is
 vastly more complex than it's logical schematic, so why can we make a
 working model of the complex thing but not make a working model of the
 simple thing when usually it's easier to make a simple thing than a complex
 thing? The only answer that comes to mind is that particular simplified
 approximation is just too simplified and just too approximate to actually
 do anything. That simplification must be missing something important,
 matter that obeys the laws of physics.



  The trouble with this argument is that the laws of physics are
 mathematical abstractions.


Mathematicians are always saying that mathematics is a language, but what
would be the consequences if that were really true? The best way known to
describe the laws of physics is to write then in the language of
mathematics, but a language is not the thing the language is describing. A
book about Napoleon may be written in the English Language, but the English
Language is not Napoleon and mathematics may not be the physical universe.


Or maybe it is. As I've said many times I'm playing devil's advocate here,
maybe mathematics really is more fundamental than physics but if it is it
has not been proven.

  John K Clark

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Re: The scope of physical law and its relationship to the substitution level

2015-06-05 Thread LizR
On 6 June 2015 at 07:22, John Clark johnkcl...@gmail.com wrote:

 On Fri, Jun 5, 2015 , meekerdb meeke...@verizon.net wrote:

  It's very relevant if you want to know what is a simplified
 approximation of what. And we both agree that a electronic computer is
 vastly more complex than it's logical schematic, so why can we make a
 working model of the complex thing but not make a working model of the
 simple thing when usually it's easier to make a simple thing than a complex
 thing? The only answer that comes to mind is that particular simplified
 approximation is just too simplified and just too approximate to actually
 do anything. That simplification must be missing something important,
 matter that obeys the laws of physics.



  The trouble with this argument is that the laws of physics are
 mathematical abstractions.


 Mathematicians are always saying that mathematics is a language, but what
 would be the consequences if that were really true?


I'm not sure that mathematicians say this (well, Galileo did, iirc, but
generally they don't).


 The best way known to describe the laws of physics is to write then in the
 language of mathematics, but a language is not the thing the language is
 describing. A book about Napoleon may be written in the English Language,
 but the English Language is not Napoleon and mathematics may not be the
 physical universe.  Or maybe it is. As I've said many times I'm playing
 devil's advocate here, maybe mathematics really is more fundamental than
 physics but if it is it has not been proven.


I doubt anything could prove this if it's still being debated even though
physics has been based on maths for 300 years.

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Re: The scope of physical law and its relationship to the substitution level

2015-06-05 Thread LizR
On 6 June 2015 at 09:46, meekerdb meeke...@verizon.net wrote:

  On 6/5/2015 12:22 PM, John Clark wrote:

  On Fri, Jun 5, 2015 , meekerdb meeke...@verizon.net wrote:

   It's very relevant if you want to know what is a simplified
 approximation of what. And we both agree that a electronic computer is
 vastly more complex than it's logical schematic, so why can we make a
 working model of the complex thing but not make a working model of the
 simple thing when usually it's easier to make a simple thing than a complex
 thing? The only answer that comes to mind is that particular simplified
 approximation is just too simplified and just too approximate to actually
 do anything. That simplification must be missing something important,
 matter that obeys the laws of physics.



The trouble with this argument is that the laws of physics are
 mathematical abstractions.


  Mathematicians are always saying that mathematics is a language, but
 what would be the consequences if that were really true? The best way known
 to describe the laws of physics is to write then in the language of
 mathematics, but a language is not the thing the language is describing.


 I agree the laws of physics are descriptions we invent; but even so they
 are abstractions and not material and what they define is only an
 approximation to what happens in the world.  That's what makes them useful
 - they let us make predictions while leaving out a lot of stuff.

 I know what you mean, but this statement could be considered a bit
misleading. Unlike the other branches of science, physics at least tries to
be a complete description. Of course it fails in practice, but (very much
in theory) a TOE would describe everything - it would in principle be like
Laplace's demon (though possibly only for a multiverse).

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Re: The scope of physical law and its relationship to the substitution level

2015-06-05 Thread meekerdb

On 6/5/2015 4:29 PM, Bruce Kellett wrote:

meekerdb wrote:

On 6/5/2015 12:22 PM, John Clark wrote:
On Fri, Jun 5, 2015 , meekerdb meeke...@verizon.net mailto:meeke...@verizon.net 
wrote:


 It's very relevant if you want to know what is a simplified
approximation of what. And we both agree that a electronic
computer is vastly more complex than it's logical schematic,
so why can we make a working model of the complex thing but
not make a working model of the simple thing when usually it's
easier to make a simple thing than a complex thing? The only
answer that comes to mind is that particular simplified
approximation is just too simplified and just too approximate
to actually do anything. That simplification must be missing
something important, matter that obeys the laws of physics.

 The trouble with this argument is that the laws of physics are
mathematical abstractions.


Mathematicians are always saying that mathematics is a language, but what would be the 
consequences if that were really true? The best way known to describe the laws of 
physics is to write then in the language of mathematics, but a language is not the 
thing the language is describing.


I agree the laws of physics are descriptions we invent; but even so they are 
abstractions and not material and what they define is only an approximation to what 
happens in the world.  That's what makes them useful - they let us make predictions 
while leaving out a lot of stuff.


So what is this lot of stuff that the mathematical abstractions leave out? In response 
you your initial point that the laws of physics are mathematical abstractions, the 
obvious questions is Abstractions from what?


Abstractions from physical events.  We find we can leave out stuff like the location (and 
so conserve momentum) and the position of distant galaxies and the name of the 
experimenter and which god he prays to etc.  Of course what we can leave out and what we 
must include is part of applying the theory.  Physicists work by considering simple 
experiments in which they can leave out as much stuff they're not interested in as 
possible in order to test their theory.  Engineers don't get to be so choosy about what's 
left out; they have to consider what events may obtain.  But they also get to throw in 
safety factors to mitigate their ignorance.


Brent



Bruce



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Re: The scope of physical law and its relationship to the substitution level

2015-06-05 Thread Bruce Kellett

LizR wrote:
On 6 June 2015 at 07:22, John Clark johnkcl...@gmail.com 
mailto:johnkcl...@gmail.com wrote:


On Fri, Jun 5, 2015 , meekerdb meeke...@verizon.net
mailto:meeke...@verizon.net wrote:

  It's very relevant if you want to know what is a
simplified approximation of what. And we both agree that a
electronic computer is vastly more complex than it's logical
schematic, so why can we make a working model of the complex
thing but not make a working model of the simple thing when
usually it's easier to make a simple thing than a complex
thing? The only answer that comes to mind is that particular
simplified approximation is just too simplified and just too
approximate to actually do anything. That simplification
must be missing something important, matter that obeys the
laws of physics.

  The trouble with this argument is that the laws of physics are
mathematical abstractions.

Mathematicians are always saying that mathematics is a language, but
what would be the consequences if that were really true? 

I'm not sure that mathematicians say this (well, Galileo did, iirc, but 
generally they don't).
 
The best way known to describe the laws of physics is to write then

in the language of mathematics, but a language is not the thing the
language is describing. A book about Napoleon may be written in the
English Language, but the English Language is not Napoleon and
mathematics may not be the physical universe.  Or maybe it is. As
I've said many times I'm playing devil's advocate here, maybe
mathematics really is more fundamental than physics but if it is it
has not been proven.

I doubt anything could prove this if it's still being debated even 
though physics has been based on maths for 300 years.


I think you will find that physics has been based on experience, and the 
the experience/experiments have been codified/described by mathematics. 
To say that is has been based on maths is a gross distortion of the facts.


Bruce

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Re: The scope of physical law and its relationship to the substitution level

2015-06-05 Thread Bruce Kellett

meekerdb wrote:

On 6/5/2015 12:22 PM, John Clark wrote:
On Fri, Jun 5, 2015 , meekerdb meeke...@verizon.net 
mailto:meeke...@verizon.net wrote:


 It's very relevant if you want to know what is a simplified
approximation of what. And we both agree that a electronic
computer is vastly more complex than it's logical schematic,
so why can we make a working model of the complex thing but
not make a working model of the simple thing when usually it's
easier to make a simple thing than a complex thing? The only
answer that comes to mind is that particular simplified
approximation is just too simplified and just too approximate
to actually do anything. That simplification must be missing
something important, matter that obeys the laws of physics.

 The trouble with this argument is that the laws of physics are
mathematical abstractions.


Mathematicians are always saying that mathematics is a language, but 
what would be the consequences if that were really true? The best way 
known to describe the laws of physics is to write then in the language 
of mathematics, but a language is not the thing the language is 
describing.


I agree the laws of physics are descriptions we invent; but even so they 
are abstractions and not material and what they define is only an 
approximation to what happens in the world.  That's what makes them 
useful - they let us make predictions while leaving out a lot of stuff.


So what is this lot of stuff that the mathematical abstractions leave 
out? In response you your initial point that the laws of physics are 
mathematical abstractions, the obvious questions is Abstractions from 
what?


Bruce

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Re: The scope of physical law and its relationship to the substitution level

2015-06-05 Thread Bruce Kellett

meekerdb wrote:

On 6/5/2015 4:29 PM, Bruce Kellett wrote:

meekerdb wrote:

On 6/5/2015 12:22 PM, John Clark wrote:
On Fri, Jun 5, 2015 , meekerdb meeke...@verizon.net 
mailto:meeke...@verizon.net wrote:


 It's very relevant if you want to know what is a simplified
approximation of what. And we both agree that a electronic
computer is vastly more complex than it's logical schematic,
so why can we make a working model of the complex thing but
not make a working model of the simple thing when usually it's
easier to make a simple thing than a complex thing? The only
answer that comes to mind is that particular simplified
approximation is just too simplified and just too approximate
to actually do anything. That simplification must be missing
something important, matter that obeys the laws of physics.

 The trouble with this argument is that the laws of physics are
mathematical abstractions.


Mathematicians are always saying that mathematics is a language, but 
what would be the consequences if that were really true? The best 
way known to describe the laws of physics is to write then in the 
language of mathematics, but a language is not the thing the 
language is describing.


I agree the laws of physics are descriptions we invent; but even so 
they are abstractions and not material and what they define is only 
an approximation to what happens in the world.  That's what makes 
them useful - they let us make predictions while leaving out a lot of 
stuff.


So what is this lot of stuff that the mathematical abstractions 
leave out? In response you your initial point that the laws of 
physics are mathematical abstractions, the obvious questions is 
Abstractions from what?


Abstractions from physical events.  We find we can leave out stuff like 
the location (and so conserve momentum) and the position of distant 
galaxies and the name of the experimenter and which god he prays to 
etc.  Of course what we can leave out and what we must include is part 
of applying the theory.  Physicists work by considering simple 
experiments in which they can leave out as much stuff they're not 
interested in as possible in order to test their theory.  Engineers 
don't get to be so choosy about what's left out; they have to consider 
what events may obtain.  But they also get to throw in safety factors 
to mitigate their ignorance.


In other words, in this account, the pre-existing physical world is 
taken as a given, from which laws are simplified abstractions. Fine, 
that's the way I think it is.


Bruce

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Re: The scope of physical law and its relationship to the substitution level

2015-06-04 Thread John Clark
 Bruno Marchal marc...@ulb.ac.be wrote:


  The physical device is far more complex than the algorithm,
 astronomically more complex, so you tell me which is a simplified
 approximation of which.



 The physical device is no more relevant to the algorithm than any other
 universal system.

Yes, an algorithm is a simplified approximation of the way a real computer
works, and in general good simplified approximations work with a large
number of real world situations.

  You can implement the factorial in fortran, and you can implement
 fortran in lisp, and you can implement lisp

Correct again, but whatever language you implement your algorithm in it
must be implemented in matter that obeys the laws of physics because you
can't make a calculation with software alone.

  The level of complexity is not relevant here.


It's very relevant if you want to know what is a simplified approximation
of what. And we both agree that a electronic computer is vastly more
complex than it's logical schematic, so why can we make a working model of
the complex thing but not make a working model of the simple thing when
usually it's easier to make a simple thing than a complex thing? The only
answer that comes to mind is that particular simplified approximation is
just too simplified and just too approximate to actually do anything. That
simplification must be missing something important, matter that obeys the
laws of physics.

  John K Clark

  John K Clark





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Re: The scope of physical law and its relationship to the substitution level

2015-06-04 Thread John Clark
On Thu, Jun 4, 2015 at 6:34 PM, LizR lizj...@gmail.com wrote:

 Mr Clark's response to Bruno indicates that he (Mr Clark) doesn't know
 what he (Bruno) is talking about


  Correct. And Mr.Clark strongly suspects that Mr.Marchal doesn't either.


  However Mr Clark's opinion on this isn't particularly valuable, since he
 admits he doesn't understand this stuff


Perhaps because there is nothing in the peepee stuff to understand.

  John K Clark

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