Re: Re: Weyl on mathematics vs. reality

2012-11-15 Thread Roger Clough
Hi Evgenii Rudnyi 

Perhaps strings might better model materials and their behavior
than current chemistry and materials science can. And
suggest the possibioity of creating new materials (composistes) as well
as explaining little understood materials phenomena.


[Roger Clough], [rclo...@verizon.net]
11/15/2012 
Forever is a long time, especially near the end. -Woody Allen

- Receiving the following content - 
From: Evgenii Rudnyi 
Receiver: everything-list 
Time: 2012-11-04, 07:18:56
Subject: Re: Weyl on mathematics vs. reality


On 04.11.2012 08:37 Richard Ruquist said the following:
 On Sun, Nov 4, 2012 at 2:12 AM, Evgenii Rudnyi use...@rudnyi.ru
 wrote:
 On 04.11.2012 02:58 meekerdb said the following:

 On 11/3/2012 2:01 PM, Evgenii Rudnyi wrote:


 ...


 p. 210 We seem to be left with four equally unpalatable
 alternatives:

 o that either the point about isomorphism and mathematics is
 mistaken, or

 o that scientific representation is not at bottom
 mathematical representation alone, or

 o that science is necessarily incomplete in a way we can know
 it to be incomplete, or

 o that those apparent differences to us, cutting across
 isomorphism, are illusory.

 In his comment about immediate alive intuition, Weyl appears to
 opt for the second, or perhaps the third, alternative. But on
 the either of this, we face a perplexing epistemological
 question: Is there something that I could know to be the case,
 and which is not expressed by a proposition that could be part
 of some scientific theory?


 It seems to me he left out the most likely case: that our science
 is incomplete in a way we know.

 Brent


 Could you please express this knowledge explicitly?

 String theory is an example of knowledge of incomplete science as
 for the most part string theory has not been verified/falsified
 experimentally. Richard

Let us imagine that the superstring theory is completed and even 
experimentally verified. So what's then? How the superstring theory 
would change engineering practice?

Evgenii
-- 
p. 278 ... the regularities must derive from not just natural but 
logical necessity. This sentiment is sometimes encountered still, not so 
much among philosophers but in physicists' dreams of a final theory so 
logically airtight as to admit of no conceivable alternative, one that 
would be grasped as true when understood at all.

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Re: Weyl on mathematics vs. reality

2012-11-15 Thread Evgenii Rudnyi

On 15.11.2012 17:10 Roger Clough said the following:

Hi Evgenii Rudnyi

Perhaps strings might better model materials and their behavior than
current chemistry and materials science can. And suggest the
possibioity of creating new materials (composistes) as well as
explaining little understood materials phenomena.


Chemists need numerical models to reduce the number of experiments. In 
my view, it is highly unlikely that the superstring theory will furnish 
better numerical models for chemists.


Evgenii

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Re: Weyl on mathematics vs. reality

2012-11-07 Thread Bruno Marchal


Hi Roger Clough,



My understanding is that qualia are subjective or 1-view,
while the realm of science is completely objective (3-view).


I agree. A qualia, like the feeling of being convinced, or like the  
feeling of seeing the color red, is subjective (1p).


But now the theory saying that a qualia is 1p, might very well be  
objective.


Science cannot use subjective statements in a theory, but this does  
not prevent a theory to make statements on subjectivity.


If not, you would make a confusion between a level and a meta-level.
We can develop objective and even testable statements about  
subjectivity.


For example, with comp, we can decode an 1p-dream from a brain 3p- 
analysis.

This seems to have been partially tested:

http://www.scientificamerican.com/article.cfm?id=scientists-read-dreamsWT.mc_id=SA_WR_20121024

Bruno





Roger Clough, rclo...@verizon.net
11/6/2012
Forever is a long time, especially near the end. -Woody Allen


- Receiving the following content -
From: Bruno Marchal
Receiver: everything-list
Time: 2012-11-06, 08:49:43
Subject: Re: Weyl on mathematics vs. reality


On 05 Nov 2012, at 20:03, Roger Clough wrote:


Hi meekerdb

Love is a qualia and science cannot touch qualia.


Science can touch everything. And assuming comp science can explain
why qualia are not scientific or communicable. they still remain real
phenomena on which science can say something, even if negative.

Bruno






Roger Clough, rclo...@verizon.net
11/5/2012
Forever is a long time, especially near the end. -Woody Allen


- Receiving the following content -
From: meekerdb
Receiver: everything-list
Time: 2012-11-03, 21:28:12
Subject: Re: Weyl on mathematics vs. reality


On 11/3/2012 6:47 PM, Alberto G. Corona wrote:



: Is there something that I could know to be the case, and which is
not expressed by a proposition that could be part of some scientific
theory?


Yes . I love my mother is some knowledge that I know , and is not
part of a scientific theory.


But could it be is the question. There could be a scientific theory
that Alberto Corona loves his mother and you could know the theory.



We know reality because we live in the reality, We do not
approximate reality by theories. We directly know reality because we
live within it. Our primary knowledge is intuitive, historic,
direct.. It is _the_ reality.


A theory is a second class of knowledge about a model that
approximate reality, maybe upto a point of an isomorphism with some-
part-of reality, but certainly, not an isomorphism that embraces the
whole reality, because we could never know if we have modelized the
entire reality, nether if this modelization is accurate.


The legitimate usage of the models is to refine this intuitive
knowledge. But at the worst, a model can negate our direct
knowledge and try to create an alternative reality. In this case the
theorist reclaim the model as the reality. Thus the
theorist .reclaim a complete knowledge of reality. In this case the
theorist is outside of science, even if it is within the science
industry, and becomes a sort of gnostic preacher


Yes, a model that includes everything is impossible (and not even
useful), but it might still be that each thing you know is part of
some model.

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Re: Weyl on mathematics vs. reality

2012-11-06 Thread Bruno Marchal


On 05 Nov 2012, at 20:03, Roger Clough wrote:


Hi meekerdb

Love is a qualia and science cannot touch qualia.


Science can touch everything. And assuming comp science can explain  
why qualia are not scientific or communicable. they still remain real  
phenomena on which science can say something, even if negative.


Bruno






Roger Clough, rclo...@verizon.net
11/5/2012
Forever is a long time, especially near the end. -Woody Allen


- Receiving the following content -
From: meekerdb
Receiver: everything-list
Time: 2012-11-03, 21:28:12
Subject: Re: Weyl on mathematics vs. reality


On 11/3/2012 6:47 PM, Alberto G. Corona wrote:



: Is there something that I could know to be the case, and which is  
not expressed by a proposition that could be part of some scientific  
theory?



Yes . I love my mother is some knowledge that I know , and is not  
part of a scientific theory.



But could it be is the question.  There could be a scientific theory  
that Alberto Corona loves his mother and you could know the theory.




We know reality because we live in the reality, We do not  
approximate reality by theories. We directly know reality because we  
live within it.  Our  primary knowledge is intuitive, historic,  
direct.. It is _the_ reality.



A theory is a second class of knowledge about a model that  
approximate reality, maybe upto a point of an isomorphism with some- 
part-of reality, but certainly, not an isomorphism that embraces the  
whole reality, because we could never know if we have modelized the  
entire reality, nether if this modelization is accurate.



The legitimate usage of the models is  to refine this intuitive  
knowledge. But at the worst, a model can  negate our direct  
knowledge and try to create an alternative reality. In this case the  
theorist reclaim the model as the reality. Thus the  
theorist .reclaim a complete knowledge of reality. In this case the  
theorist is outside of science, even if it is  within the science  
industry, and becomes a sort of gnostic preacher



Yes, a model that includes everything is impossible (and not even  
useful), but it might still be that each thing you know is part of  
some model.


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Re: Weyl on mathematics vs. reality

2012-11-06 Thread Bruno Marchal


On 05 Nov 2012, at 20:24, Evgenii Rudnyi wrote:


On 05.11.2012 16:21 Roger Clough said the following:

Hi Richard Ruquist

Engineering advantages ? A decade before the Wright brothers flew
their airplane, people would have said, You're going to do WHAT ?



I guess this is a very good example, as the Wright brothers have  
just done it. I am not sure if they based this innovation on some  
theory. Hence is the question, if a superstring theory is really  
necessary to drive innovations.


String theory has made possible the discovery of new proofs of  
arithmetical statement. So string theory has already lead to  
innovation in number theory. For physics, we will see.


Bruno


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



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Re: Re: Weyl on mathematics vs. reality

2012-11-06 Thread Roger Clough
Hi Bruno Marchal  

My understanding is that qualia are subjective or 1-view,
while the realm of science is completely objective (3-view).

Roger Clough, rclo...@verizon.net 
11/6/2012  
Forever is a long time, especially near the end. -Woody Allen 


- Receiving the following content -  
From: Bruno Marchal  
Receiver: everything-list  
Time: 2012-11-06, 08:49:43 
Subject: Re: Weyl on mathematics vs. reality 


On 05 Nov 2012, at 20:03, Roger Clough wrote: 

 Hi meekerdb 
 
 Love is a qualia and science cannot touch qualia. 

Science can touch everything. And assuming comp science can explain  
why qualia are not scientific or communicable. they still remain real  
phenomena on which science can say something, even if negative. 

Bruno 



 
 
 Roger Clough, rclo...@verizon.net 
 11/5/2012 
 Forever is a long time, especially near the end. -Woody Allen 
 
 
 - Receiving the following content - 
 From: meekerdb 
 Receiver: everything-list 
 Time: 2012-11-03, 21:28:12 
 Subject: Re: Weyl on mathematics vs. reality 
 
 
 On 11/3/2012 6:47 PM, Alberto G. Corona wrote: 
 
 
 
 : Is there something that I could know to be the case, and which is  
 not expressed by a proposition that could be part of some scientific  
 theory? 
 
 
 Yes . I love my mother is some knowledge that I know , and is not  
 part of a scientific theory. 
 
 
 But could it be is the question. There could be a scientific theory  
 that Alberto Corona loves his mother and you could know the theory. 
 
 
 
 We know reality because we live in the reality, We do not  
 approximate reality by theories. We directly know reality because we  
 live within it. Our primary knowledge is intuitive, historic,  
 direct.. It is _the_ reality. 
 
 
 A theory is a second class of knowledge about a model that  
 approximate reality, maybe upto a point of an isomorphism with some-  
 part-of reality, but certainly, not an isomorphism that embraces the  
 whole reality, because we could never know if we have modelized the  
 entire reality, nether if this modelization is accurate. 
 
 
 The legitimate usage of the models is to refine this intuitive  
 knowledge. But at the worst, a model can negate our direct  
 knowledge and try to create an alternative reality. In this case the  
 theorist reclaim the model as the reality. Thus the  
 theorist .reclaim a complete knowledge of reality. In this case the  
 theorist is outside of science, even if it is within the science  
 industry, and becomes a sort of gnostic preacher 
 
 
 Yes, a model that includes everything is impossible (and not even  
 useful), but it might still be that each thing you know is part of  
 some model. 
 
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Re: Weyl on mathematics vs. reality

2012-11-06 Thread Stephen P. King

On 11/6/2012 9:44 AM, Roger Clough wrote:

My understanding is that qualia are subjective or 1-view,
while the realm of science is completely objective (3-view).
Science 'traces' out the observer and wonders why it cannot understand 
the observer! LOL!


--
Onward!

Stephen


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Re: Re: Weyl on mathematics vs. reality

2012-11-05 Thread Roger Clough
Hi Richard Ruquist 

Engineering advantages ? A decade before the Wright brothers
flew their airplane, people would have said, You're going to do WHAT ?  

Many if not all innovations like that seem at present to be crazy
or impossible. 


Roger Clough, rclo...@verizon.net 
11/5/2012  
Forever is a long time, especially near the end. -Woody Allen 


- Receiving the following content -  
From: Richard Ruquist  
Receiver: everything-list  
Time: 2012-11-04, 09:42:29 
Subject: Re: Weyl on mathematics vs. reality 


On Sun, Nov 4, 2012 at 8:18 AM, Evgenii Rudnyi  wrote: 
 On 04.11.2012 08:37 Richard Ruquist said the following: 
 
 On Sun, Nov 4, 2012 at 2:12 AM, Evgenii Rudnyi  
 wrote: 
 
 On 04.11.2012 02:58 meekerdb said the following: 
 
 On 11/3/2012 2:01 PM, Evgenii Rudnyi wrote: 
 
 
 
 ... 
 
 
 p. 210 We seem to be left with four equally unpalatable 
 alternatives: 
 
 o that either the point about isomorphism and mathematics is 
 mistaken, or 
 
 o that scientific representation is not at bottom 
 mathematical representation alone, or 
 
 o that science is necessarily incomplete in a way we can know 
 it to be incomplete, or 
 
 o that those apparent differences to us, cutting across 
 isomorphism, are illusory. 
 
 In his comment about immediate alive intuition, Weyl appears to 
 opt for the second, or perhaps the third, alternative. But on 
 the either of this, we face a perplexing epistemological 
 question: Is there something that I could know to be the case, 
 and which is not expressed by a proposition that could be part 
 of some scientific theory? 
 
 
 
 It seems to me he left out the most likely case: that our science 
 is incomplete in a way we know. 
 
 Brent 
 
 
 Could you please express this knowledge explicitly? 
 
 
 String theory is an example of knowledge of incomplete science as 
 for the most part string theory has not been verified/falsified 
 experimentally. Richard 
 
 
 Let us imagine that the superstring theory is completed and even 
 experimentally verified. So what's then? How the superstring theory would 
 change engineering practice? 

I am unable to predict any engineering advantage to any proposed high 
energy theory even if it were to explain dark energy. That includes 
comp. What I can predict is that such a valid theory may change our 
conception of reality. In particular it may determine if a god is 
possible and exists and/or if a Many World multiverse exists. My 
personal prediction is that it is one or the other, either MWI or a 
god and a supernatural realm. Richard 

 
 Evgenii 
 -- 
 p. 278 ... the regularities must derive from not just natural but logical 
 necessity. This sentiment is sometimes encountered still, not so much among 
 philosophers but in physicists' dreams of a final theory so logically 
 airtight as to admit of no conceivable alternative, one that would be 
 grasped as true when understood at all. 
 
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Re: Re: Weyl on mathematics vs. reality

2012-11-05 Thread Roger Clough
Hi meekerdb  

Love is a qualia and science cannot touch qualia.


Roger Clough, rclo...@verizon.net 
11/5/2012  
Forever is a long time, especially near the end. -Woody Allen 


- Receiving the following content -  
From: meekerdb  
Receiver: everything-list  
Time: 2012-11-03, 21:28:12 
Subject: Re: Weyl on mathematics vs. reality 


On 11/3/2012 6:47 PM, Alberto G. Corona wrote:  



: Is there something that I could know to be the case, and which is not 
expressed by a proposition that could be part of some scientific theory? 


Yes . I love my mother is some knowledge that I know , and is not part of a 
scientific theory.  


But could it be is the question.  There could be a scientific theory that 
Alberto Corona loves his mother and you could know the theory. 



We know reality because we live in the reality, We do not approximate reality 
by theories. We directly know reality because we live within it.  Our  primary 
knowledge is intuitive, historic, direct.. It is _the_ reality.   


A theory is a second class of knowledge about a model that approximate reality, 
maybe upto a point of an isomorphism with some-part-of reality, but certainly, 
not an isomorphism that embraces the whole reality, because we could never know 
if we have modelized the entire reality, nether if this modelization is 
accurate. 


The legitimate usage of the models is  to refine this intuitive knowledge. But 
at the worst, a model can  negate our direct knowledge and try to create an 
alternative reality. In this case the theorist reclaim the model as the 
reality. Thus the theorist .reclaim a complete knowledge of reality. In this 
case the theorist is outside of science, even if it is  within the science 
industry, and becomes a sort of gnostic preacher 


Yes, a model that includes everything is impossible (and not even useful), but 
it might still be that each thing you know is part of some model.

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Re: Weyl on mathematics vs. reality

2012-11-05 Thread Evgenii Rudnyi

On 05.11.2012 16:21 Roger Clough said the following:

Hi Richard Ruquist

Engineering advantages ? A decade before the Wright brothers flew
their airplane, people would have said, You're going to do WHAT ?



I guess this is a very good example, as the Wright brothers have just 
done it. I am not sure if they based this innovation on some theory. 
Hence is the question, if a superstring theory is really necessary to 
drive innovations.


Evgenii

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Re: Weyl on mathematics vs. reality

2012-11-05 Thread Evgenii Rudnyi

On 04.11.2012 22:03 meekerdb said the following:

On 11/4/2012 1:18 AM, Evgenii Rudnyi wrote:

On 04.11.2012 00:47 Alberto G. Corona said the following:


: Is there something that I could know to be the case, and
which is not expressed by a proposition that could be part of
some scientific theory?

Yes . I love my mother is some knowledge that I know , and is
not part

of a scientific theory. We know reality because we live in the
reality, We do not approximate reality by theories. We directly
know reality because we live within it.  Our  primary knowledge
is intuitive, historic, direct.. It is _the_ reality.

A theory is a second class of knowledge about a model that
approximate reality, maybe upto a point of an isomorphism with
some-part-of reality, but certainly, not an isomorphism that
embraces the whole reality, because we could never know if we
have modelized the entire reality, nether if this modelization is
accurate.



Let us imagine that we have a mathematical model that isomorphic
with the whole reality. Let us say that this model is before you as
some computer implementation. The problem of coordination still
remains. To use this model, you need to find out its particular
part and relate it with reality. The model of the whole reality
does not do it by itself.


That seems like an impossible hypothesis.  Usually when one talks
about having a model it is a model that one created or someone else
created and the correspondence with whatever is modeled is part of
the creation of the model. If you were simply presented with a model
of all reality and you didn't know who created this model so that you
could ask them how it corresponded to the thing modeled then you
would be just like a scientist faced with nature and you would
proceed by creating a model of the model in terms you understood.


What you say about a historical development is exactly what Van Fraassen 
offers as a part of a solution to the coordination problem.


Yet, even after the theory has been developed (let us imagine that the 
science has included in its model the dark energy, the dark matter and 
have found a way to make GR and QM compatible), one needs to take a 
decision what a particular part of the theory is necessary to drive a 
particular innovation. Even a complete scientific theory will not do it 
by itself. In this sense, it will be still incomplete.


Evgenii

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Re: Re: Weyl on mathematics vs. reality

2012-11-05 Thread Roger Clough
Hi Evgenii Rudnyi  

I have heard it said that every year a certain mathematics
society gets together to celebrate the fact that not one of
their papers has proven to be useful. 

Pragmatists on the other hand believe that only the useful is true.

Take your pick.


Roger Clough, rclo...@verizon.net 
11/5/2012  
Forever is a long time, especially near the end. -Woody Allen 


- Receiving the following content -  
From: Evgenii Rudnyi  
Receiver: everything-list  
Time: 2012-11-05, 14:24:21 
Subject: Re: Weyl on mathematics vs. reality 


On 05.11.2012 16:21 Roger Clough said the following: 
 Hi Richard Ruquist 
 
 Engineering advantages ? A decade before the Wright brothers flew 
 their airplane, people would have said, You're going to do WHAT ? 
 

I guess this is a very good example, as the Wright brothers have just  
done it. I am not sure if they based this innovation on some theory.  
Hence is the question, if a superstring theory is really necessary to  
drive innovations. 

Evgenii 

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Re: Weyl on mathematics vs. reality

2012-11-05 Thread meekerdb

On 11/5/2012 1:32 PM, Evgenii Rudnyi wrote:

On 04.11.2012 22:03 meekerdb said the following:

On 11/4/2012 1:18 AM, Evgenii Rudnyi wrote:

On 04.11.2012 00:47 Alberto G. Corona said the following:


: Is there something that I could know to be the case, and
which is not expressed by a proposition that could be part of
some scientific theory?

Yes . I love my mother is some knowledge that I know , and is
not part

of a scientific theory. We know reality because we live in the
reality, We do not approximate reality by theories. We directly
know reality because we live within it.  Our  primary knowledge
is intuitive, historic, direct.. It is _the_ reality.

A theory is a second class of knowledge about a model that
approximate reality, maybe upto a point of an isomorphism with
some-part-of reality, but certainly, not an isomorphism that
embraces the whole reality, because we could never know if we
have modelized the entire reality, nether if this modelization is
accurate.



Let us imagine that we have a mathematical model that isomorphic
with the whole reality. Let us say that this model is before you as
some computer implementation. The problem of coordination still
remains. To use this model, you need to find out its particular
part and relate it with reality. The model of the whole reality
does not do it by itself.


That seems like an impossible hypothesis.  Usually when one talks
about having a model it is a model that one created or someone else
created and the correspondence with whatever is modeled is part of
the creation of the model. If you were simply presented with a model
of all reality and you didn't know who created this model so that you
could ask them how it corresponded to the thing modeled then you
would be just like a scientist faced with nature and you would
proceed by creating a model of the model in terms you understood.


What you say about a historical development is exactly what Van Fraassen offers as a 
part of a solution to the coordination problem.


What exactly is 'coordination' and why is it a problem?



Yet, even after the theory has been developed (let us imagine that the science has 
included in its model the dark energy, the dark matter and have found a way to make GR 
and QM compatible), one needs to take a decision what a particular part of the theory is 
necessary to drive a particular innovation. Even a complete scientific theory will not 
do it by itself. In this sense, it will be still incomplete.


I don't understand the problem; are you simply saying the model of reality is not reality 
itself?  That seems rather trivial.


Brent

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Re: Weyl on mathematics vs. reality

2012-11-05 Thread Evgenii Rudnyi

On 05.11.2012 21:49 meekerdb said the following:

On 11/5/2012 1:32 PM, Evgenii Rudnyi wrote:

On 04.11.2012 22:03 meekerdb said the following:

On 11/4/2012 1:18 AM, Evgenii Rudnyi wrote:

On 04.11.2012 00:47 Alberto G. Corona said the following:


: Is there something that I could know to be the case, and
which is not expressed by a proposition that could be part
of some scientific theory?

Yes . I love my mother is some knowledge that I know ,
and is not part

of a scientific theory. We know reality because we live in
the reality, We do not approximate reality by theories. We
directly know reality because we live within it.  Our
primary knowledge is intuitive, historic, direct.. It is
_the_ reality.

A theory is a second class of knowledge about a model that
approximate reality, maybe upto a point of an isomorphism
with some-part-of reality, but certainly, not an isomorphism
that embraces the whole reality, because we could never know
if we have modelized the entire reality, nether if this
modelization is accurate.



Let us imagine that we have a mathematical model that
isomorphic with the whole reality. Let us say that this model
is before you as some computer implementation. The problem of
coordination still remains. To use this model, you need to find
out its particular part and relate it with reality. The model
of the whole reality does not do it by itself.


That seems like an impossible hypothesis.  Usually when one
talks about having a model it is a model that one created or
someone else created and the correspondence with whatever is
modeled is part of the creation of the model. If you were simply
presented with a model of all reality and you didn't know who
created this model so that you could ask them how it corresponded
to the thing modeled then you would be just like a scientist
faced with nature and you would proceed by creating a model of
the model in terms you understood.


What you say about a historical development is exactly what Van
Fraassen offers as a part of a solution to the coordination
problem.


What exactly is 'coordination' and why is it a problem?


An analogy would be using a map. One needs for example to locate oneself 
in a map. This could be generalized.


Let us consider how an engineer for example uses Maxwell equations. An 
engineer starts with a design. This design could be described by Maxwell 
equations but one needs an engineer to suggest the design. Maxwell 
equations on their own are not enough.






Yet, even after the theory has been developed (let us imagine that
the science has included in its model the dark energy, the dark
matter and have found a way to make GR and QM compatible), one
needs to take a decision what a particular part of the theory is
necessary to drive a particular innovation. Even a complete
scientific theory will not do it by itself. In this sense, it will
be still incomplete.


I don't understand the problem; are you simply saying the model of
reality is not reality itself?  That seems rather trivial.


In a way. A scientific model is after all a representation. And a 
representation is


p. 21 “Z uses X to depict Y as F”

Hence even a complete scientific theory does not contain Z uses. This 
remains somehow outside of even a complete Theory of Everything.


In a way it is trivial, I agree. Yet, it seems for example Hawking in 
his Grand Design does not agree with such a trivial observation.


Evgenii

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Re: Weyl on mathematics vs. reality

2012-11-05 Thread Stephen P. King

On 11/5/2012 2:46 PM, Roger Clough wrote:

Hi Evgenii Rudnyi

I have heard it said that every year a certain mathematics
society gets together to celebrate the fact that not one of
their papers has proven to be useful.

Pragmatists on the other hand believe that only the useful is true.

Take your pick.


Laugh out loud! Such silly narcissistic elitism!




Roger Clough, rclo...@verizon.net
11/5/2012
Forever is a long time, especially near the end. -Woody Allen


- Receiving the following content -
From: Evgenii Rudnyi
Receiver: everything-list
Time: 2012-11-05, 14:24:21
Subject: Re: Weyl on mathematics vs. reality


On 05.11.2012 16:21 Roger Clough said the following:

Hi Richard Ruquist

Engineering advantages ? A decade before the Wright brothers flew
their airplane, people would have said, You're going to do WHAT ?


I guess this is a very good example, as the Wright brothers have just
done it. I am not sure if they based this innovation on some theory.
Hence is the question, if a superstring theory is really necessary to
drive innovations.

Evgenii

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Onward!

Stephen


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Re: Weyl on mathematics vs. reality

2012-11-04 Thread Evgenii Rudnyi

On 04.11.2012 02:58 meekerdb said the following:

On 11/3/2012 2:01 PM, Evgenii Rudnyi wrote:


...


p. 210 We seem to be left with four equally unpalatable
alternatives:

o  that either the point about isomorphism and mathematics is
mistaken, or

o  that scientific representation is not at bottom mathematical
representation alone, or

o  that science is necessarily incomplete in a way we can know it
to be incomplete, or

o  that those apparent differences to us, cutting across
isomorphism, are illusory.

In his comment about immediate alive intuition, Weyl appears to opt
 for the second, or perhaps the third, alternative. But on the
either of this, we face a perplexing epistemological question: Is
there something that I could know to be the case, and which is not
expressed by a proposition that could be part of some scientific
theory?


It seems to me he left out the most likely case: that our science is
 incomplete in a way we know.

Brent



Could you please express this knowledge explicitly?

Evgenii

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Re: Weyl on mathematics vs. reality

2012-11-04 Thread Evgenii Rudnyi

On 04.11.2012 00:47 Alberto G. Corona said the following:


: Is there something that I could know to be the case, and which is
not expressed by a proposition that could be part of some
scientific theory?

Yes . I love my mother is some knowledge that I know , and is not
part

of a scientific theory. We know reality because we live in the
reality, We do not approximate reality by theories. We directly know
reality because we live within it.  Our  primary knowledge is
intuitive, historic, direct.. It is _the_ reality.

A theory is a second class of knowledge about a model that
approximate reality, maybe upto a point of an isomorphism with
some-part-of reality, but certainly, not an isomorphism that embraces
the whole reality, because we could never know if we have modelized
the entire reality, nether if this modelization is accurate.



Let us imagine that we have a mathematical model that isomorphic with 
the whole reality. Let us say that this model is before you as some 
computer implementation. The problem of coordination still remains. To 
use this model, you need to find out its particular part and relate it 
with reality. The model of the whole reality does not do it by itself.


Evgenii

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Re: Weyl on mathematics vs. reality

2012-11-04 Thread Richard Ruquist
On Sun, Nov 4, 2012 at 2:12 AM, Evgenii Rudnyi use...@rudnyi.ru wrote:
 On 04.11.2012 02:58 meekerdb said the following:

 On 11/3/2012 2:01 PM, Evgenii Rudnyi wrote:


 ...


 p. 210 We seem to be left with four equally unpalatable
 alternatives:

 o  that either the point about isomorphism and mathematics is
 mistaken, or

 o  that scientific representation is not at bottom mathematical
 representation alone, or

 o  that science is necessarily incomplete in a way we can know it
 to be incomplete, or

 o  that those apparent differences to us, cutting across
 isomorphism, are illusory.

 In his comment about immediate alive intuition, Weyl appears to opt
  for the second, or perhaps the third, alternative. But on the
 either of this, we face a perplexing epistemological question: Is
 there something that I could know to be the case, and which is not
 expressed by a proposition that could be part of some scientific
 theory?


 It seems to me he left out the most likely case: that our science is
  incomplete in a way we know.

 Brent


 Could you please express this knowledge explicitly?

String theory is an example of knowledge of incomplete science as for
the most part string theory has not been verified/falsified
experimentally. Richard

 Evgenii


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Re: Re: Weyl on mathematics vs. reality

2012-11-04 Thread Roger Clough
Hi Alberto G. Corona  

The only way to know reality is subjectively, just
as Descartes found. He threw everything out until
all he could know for sure was that he could think.

Reality is what is happening now, which is what
we can only know subjectively, from inside, by
aquaintance.  We cannot know now  or reality
descriptively from any theory, only by subjective 
acquaintance.



Roger Clough, rclo...@verizon.net 
11/4/2012  
Forever is a long time, especially near the end. -Woody Allen 


- Receiving the following content -  
From: Alberto G. Corona  
Receiver: everything-list  
Time: 2012-11-03, 18:47:00 
Subject: Re: Weyl on mathematics vs. reality 





: Is there something that I could know to be the case, and which is not 
expressed by a proposition that could be part of some scientific theory? 


Yes . I love my mother is some knowledge that I know , and is not part of a 
scientific theory.? 
We know reality because we live in the reality, We do not?pproximate?eality by 
theories. We directly know reality because we live within it. ?ur ?rimary 
knowledge is intuitive, historic, direct.. It is _the_ reality. ? 


A theory is a second class of knowledge about a model that?pproximate?eality, 
maybe upto a?oint?f an isomorphism with some-part-of reality, but certainly, 
not an isomorphism that embraces the whole reality,?ecause?e could never know 
if we have modelized the entire reality, nether if this modelization is 
accurate. 


The legitimate usage of the models is ?o refine this intuitive knowledge. But 
at the worst, a model can ?egate our direct knowledge and try to create an 
alternative reality. In this case the theorist reclaim the model as the 
reality. Thus the theorist .reclaim a complete knowledge of reality. In this 
case the theorist is outside of science, even if it is ?ithin the science 
industry, and becomes a sort of gnostic preacher 






--  
Alberto. 

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Re: Weyl on mathematics vs. reality

2012-11-04 Thread Evgenii Rudnyi

On 04.11.2012 08:37 Richard Ruquist said the following:

On Sun, Nov 4, 2012 at 2:12 AM, Evgenii Rudnyi use...@rudnyi.ru
wrote:

On 04.11.2012 02:58 meekerdb said the following:


On 11/3/2012 2:01 PM, Evgenii Rudnyi wrote:



...



p. 210 We seem to be left with four equally unpalatable
alternatives:

o  that either the point about isomorphism and mathematics is
mistaken, or

o  that scientific representation is not at bottom
mathematical representation alone, or

o  that science is necessarily incomplete in a way we can know
it to be incomplete, or

o  that those apparent differences to us, cutting across
isomorphism, are illusory.

In his comment about immediate alive intuition, Weyl appears to
opt for the second, or perhaps the third, alternative. But on
the either of this, we face a perplexing epistemological
question: Is there something that I could know to be the case,
and which is not expressed by a proposition that could be part
of some scientific theory?



It seems to me he left out the most likely case: that our science
is incomplete in a way we know.

Brent



Could you please express this knowledge explicitly?


String theory is an example of knowledge of incomplete science as
for the most part string theory has not been verified/falsified
experimentally. Richard


Let us imagine that the superstring theory is completed and even 
experimentally verified. So what's then? How the superstring theory 
would change engineering practice?


Evgenii
--
p. 278 ... the regularities must derive from not just natural but 
logical necessity. This sentiment is sometimes encountered still, not so 
much among philosophers but in physicists' dreams of a final theory so 
logically airtight as to admit of no conceivable alternative, one that 
would be grasped as true when understood at all.


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Re: Weyl on mathematics vs. reality

2012-11-04 Thread Richard Ruquist
On Sun, Nov 4, 2012 at 8:18 AM, Evgenii Rudnyi use...@rudnyi.ru wrote:
 On 04.11.2012 08:37 Richard Ruquist said the following:

 On Sun, Nov 4, 2012 at 2:12 AM, Evgenii Rudnyi use...@rudnyi.ru
 wrote:

 On 04.11.2012 02:58 meekerdb said the following:

 On 11/3/2012 2:01 PM, Evgenii Rudnyi wrote:



 ...


 p. 210 We seem to be left with four equally unpalatable
 alternatives:

 o  that either the point about isomorphism and mathematics is
 mistaken, or

 o  that scientific representation is not at bottom
 mathematical representation alone, or

 o  that science is necessarily incomplete in a way we can know
 it to be incomplete, or

 o  that those apparent differences to us, cutting across
 isomorphism, are illusory.

 In his comment about immediate alive intuition, Weyl appears to
 opt for the second, or perhaps the third, alternative. But on
 the either of this, we face a perplexing epistemological
 question: Is there something that I could know to be the case,
 and which is not expressed by a proposition that could be part
 of some scientific theory?



 It seems to me he left out the most likely case: that our science
 is incomplete in a way we know.

 Brent


 Could you please express this knowledge explicitly?


 String theory is an example of knowledge of incomplete science as
 for the most part string theory has not been verified/falsified
 experimentally. Richard


 Let us imagine that the superstring theory is completed and even
 experimentally verified. So what's then? How the superstring theory would
 change engineering practice?

I am unable to predict any engineering advantage to any proposed high
energy theory even if it were to explain dark energy. That includes
comp. What I can predict is that such a valid theory may change our
conception of reality. In particular it may determine if a god is
possible and exists and/or if a Many World multiverse exists. My
personal prediction is that it is one or the other, either MWI or a
god and a supernatural realm. Richard


 Evgenii
 --
 p. 278 ... the regularities must derive from not just natural but logical
 necessity. This sentiment is sometimes encountered still, not so much among
 philosophers but in physicists' dreams of a final theory so logically
 airtight as to admit of no conceivable alternative, one that would be
 grasped as true when understood at all.

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Re: Weyl on mathematics vs. reality

2012-11-04 Thread meekerdb

On 11/4/2012 1:12 AM, Evgenii Rudnyi wrote:

On 04.11.2012 02:58 meekerdb said the following:

On 11/3/2012 2:01 PM, Evgenii Rudnyi wrote:


...


p. 210 We seem to be left with four equally unpalatable
alternatives:

o  that either the point about isomorphism and mathematics is
mistaken, or

o  that scientific representation is not at bottom mathematical
representation alone, or

o  that science is necessarily incomplete in a way we can know it
to be incomplete, or

o  that those apparent differences to us, cutting across
isomorphism, are illusory.

In his comment about immediate alive intuition, Weyl appears to opt
 for the second, or perhaps the third, alternative. But on the
either of this, we face a perplexing epistemological question: Is
there something that I could know to be the case, and which is not
expressed by a proposition that could be part of some scientific
theory?


It seems to me he left out the most likely case: that our science is
 incomplete in a way we know.

Brent



Could you please express this knowledge explicitly?


We don't know what dark matter is, we don't know what dark energy is, we don't know how to 
make GR and QM compatible,...


Brent

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Re: Weyl on mathematics vs. reality

2012-11-04 Thread meekerdb

On 11/4/2012 1:18 AM, Evgenii Rudnyi wrote:

On 04.11.2012 00:47 Alberto G. Corona said the following:


: Is there something that I could know to be the case, and which is
not expressed by a proposition that could be part of some
scientific theory?

Yes . I love my mother is some knowledge that I know , and is not
part

of a scientific theory. We know reality because we live in the
reality, We do not approximate reality by theories. We directly know
reality because we live within it.  Our  primary knowledge is
intuitive, historic, direct.. It is _the_ reality.

A theory is a second class of knowledge about a model that
approximate reality, maybe upto a point of an isomorphism with
some-part-of reality, but certainly, not an isomorphism that embraces
the whole reality, because we could never know if we have modelized
the entire reality, nether if this modelization is accurate.



Let us imagine that we have a mathematical model that isomorphic with the whole reality. 
Let us say that this model is before you as some computer implementation. The problem of 
coordination still remains. To use this model, you need to find out its particular part 
and relate it with reality. The model of the whole reality does not do it by itself. 


That seems like an impossible hypothesis.  Usually when one talks about having a model it 
is a model that one created or someone else created and the correspondence with whatever 
is modeled is part of the creation of the model. If you were simply presented with a model 
of all reality and you didn't know who created this model so that you could ask them how 
it corresponded to the thing modeled then you would be just like a scientist faced with 
nature and you would proceed by creating a model of the model in terms you understood.


Brent

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Re: Weyl on mathematics vs. reality

2012-11-03 Thread Craig Weinberg
Nice. I was just writing about mathematics and use of symbols: 
http://s33light.org/post/34935613677

Craig

On Saturday, November 3, 2012 3:01:55 PM UTC-4, Evgenii Rudnyi wrote:

 Some more quotes from Bas C Van Fraassen Scientific Representation: 
 Paradoxes of Perspective. This time on what Weyl has said on isomorphism 
 between mathematics and reality. 

 p. 208 Herman Weyl expressed the fundamental insight as follows in 1934: 

 'A science can never determine its subject-matter expect up to 
 isomorphic representation. The idea of isomorphism indicates the 
 self-understood, insurmountable barrier of knowledge. [...T]oward the 
 nature of its objects science maintains complete indifference.' (Weyl 
 1934:19) 

 The initial assertion is clearly based on two basic convictions: 

 o  that scientific representation is mathematical, and 
 o  that in mathematics no distinction cuts across structural sameness. 

 p. 209 Weyl illustrates this with the example of a color space and an 
 isomorphic geometric object. ... The color space is a region on the 
 projective plane. If we can nevertheless distinguish the one from the 
 other, or from other attribute spaces with that structure, doesn't that 
 mean that we can know more that what science, so conceived, can deliver? 
 Weyl accompanies his point about this limitation with an immediate 
 characterization of the 'something else' which is then left 
 un-represented. 

 'This - for example what distinguish the colors from the point of the 
 projective plane - one can only know in immediate alive intuition.' 
 (Ibid.) 

 p. 210 We seem to be left with four equally unpalatable alternatives: 

 o  that either the point about isomorphism and mathematics is mistaken, or 

 o  that scientific representation is not at bottom mathematical 
 representation alone, or 

 o  that science is necessarily incomplete in a way we can know it to be 
 incomplete, or 

 o  that those apparent differences to us, cutting across isomorphism, 
 are illusory. 

 In his comment about immediate alive intuition, Weyl appears to opt for 
 the second, or perhaps the third, alternative. But on the either of 
 this, we face a perplexing epistemological question: Is there something 
 that I could know to be the case, and which is not expressed by a 
 proposition that could be part of some scientific theory? 

 Evgenii 
 -- 
 http://blog.rudnyi.ru/tag/bas-c-van-fraassen 


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Re: Weyl on mathematics vs. reality

2012-11-03 Thread Alberto G. Corona

 : Is there something that I could know to be the case, and which is not
 expressed by a proposition that could be part of some scientific theory?

 Yes . I love my mother is some knowledge that I know , and is not part
of a scientific theory.
We know reality because we live in the reality, We do
not approximate reality by theories. We directly know reality because we
live within it.  Our  primary knowledge is intuitive, historic, direct.. It
is _the_ reality.

A theory is a second class of knowledge about a model
that approximate reality, maybe upto a point of an isomorphism with
some-part-of reality, but certainly, not an isomorphism that embraces the
whole reality, because we could never know if we have modelized the entire
reality, nether if this modelization is accurate.

The legitimate usage of the models is  to refine this intuitive knowledge.
But at the worst, a model can  negate our direct knowledge and try to
create an alternative reality. In this case the theorist reclaim the model
as the reality. Thus the theorist .reclaim a complete knowledge of reality.
In this case the theorist is outside of science, even if it is  within the
science industry, and becomes a sort of gnostic preacher



-- 
Alberto.

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Re: Weyl on mathematics vs. reality

2012-11-03 Thread meekerdb

On 11/3/2012 2:01 PM, Evgenii Rudnyi wrote:
Some more quotes from Bas C Van Fraassen Scientific Representation: Paradoxes of 
Perspective. This time on what Weyl has said on isomorphism between mathematics and 
reality.


p. 208 Herman Weyl expressed the fundamental insight as follows in 1934:

'A science can never determine its subject-matter expect up to isomorphic 
representation. The idea of isomorphism indicates the self-understood, insurmountable 
barrier of knowledge. [...T]oward the nature of its objects science maintains complete 
indifference.' (Weyl 1934:19)


The initial assertion is clearly based on two basic convictions:

o  that scientific representation is mathematical, and
o  that in mathematics no distinction cuts across structural sameness.

p. 209 Weyl illustrates this with the example of a color space and an isomorphic 
geometric object. ... The color space is a region on the projective plane. If we can 
nevertheless distinguish the one from the other, or from other attribute spaces with 
that structure, doesn't that mean that we can know more that what science, so conceived, 
can deliver? Weyl accompanies his point about this limitation with an immediate 
characterization of the 'something else' which is then left un-represented.


'This - for example what distinguish the colors from the point of the projective plane - 
one can only know in immediate alive intuition.' (Ibid.)


p. 210 We seem to be left with four equally unpalatable alternatives:

o  that either the point about isomorphism and mathematics is mistaken, or

o  that scientific representation is not at bottom mathematical representation 
alone, or

o  that science is necessarily incomplete in a way we can know it to be 
incomplete, or

o  that those apparent differences to us, cutting across isomorphism, are 
illusory.

In his comment about immediate alive intuition, Weyl appears to opt for the second, or 
perhaps the third, alternative. But on the either of this, we face a perplexing 
epistemological question: Is there something that I could know to be the case, and which 
is not expressed by a proposition that could be part of some scientific theory?


It seems to me he left out the most likely case: that our science is incomplete in a way 
we know.


Brent

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Re: Weyl on mathematics vs. reality

2012-11-03 Thread meekerdb

On 11/3/2012 6:47 PM, Alberto G. Corona wrote:



: Is there something that I could know to be the case, and which is not 
expressed by
a proposition that could be part of some scientific theory?

Yes . I love my mother is some knowledge that I know , and is not part of a scientific 
theory.


But could it be is the question.  There could be a scientific theory that Alberto Corona 
loves his mother and you could know the theory.



We know reality because we live in the reality, We do not approximate reality by 
theories. We directly know reality because we live within it.  Our  primary knowledge is 
intuitive, historic, direct.. It is _the_ reality.


A theory is a second class of knowledge about a model that approximate reality, maybe 
upto a point of an isomorphism with some-part-of reality, but certainly, not an 
isomorphism that embraces the whole reality, because we could never know if we have 
modelized the entire reality, nether if this modelization is accurate.


The legitimate usage of the models is  to refine this intuitive knowledge. But at the 
worst, a model can  negate our direct knowledge and try to create an alternative 
reality. In this case the theorist reclaim the model as the reality. Thus the theorist 
.reclaim a complete knowledge of reality. In this case the theorist is outside of 
science, even if it is  within the science industry, and becomes a sort of gnostic preacher


Yes, a model that includes everything is impossible (and not even useful), but it might 
still be that each thing you know is part of some model.



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