Re: [Fis] ON INFORMATION THEORY--Mark Burgin

2011-04-09 Thread Ted Goranson
Thank you Mark. This promises to be interesting.

My view may best be introduced by stating that I believe we are in the business 
of creating a new science that will depend on new abstractions. These 
abstractions will extend from the notion of information as a first class 
citizen, as opposed to our default, the particle. The latter has qualities 
that can be measured and in fact the very idea of metrics is bound to this 
notion of thingness.

Because we will not leave existing theoretical tools behind, we need a bridge 
between the abstractions of effect in the particle model (fields and forces) 
and the corresponding effect in the information model. I am fine with 
extending the metaphor far enough to say that we need something like 
parametrics in our new science of information. But I really balk at using the 
notion from one system in another without some sort of morphism.

Much of the dialog here works with the problem of naming what that it is. 
Unfortunately, the abstractions of fields and forces are a very poor formal 
model, because they are defined not by their essence but by their metrics. 

Having said that...

 1.Is it necessary/useful/reasonable to make a strict 
 distinction between information as a phenomenon and information measures as 
 quantitative or qualitative characteristics of information?

I am rather certain that there is a very real distinction, because of how we 
define the problem. After all, we are not asking how do information and 
information metrics fit within the confines of rather limited abstractions. At 
least I am not. But the distinction does not allow for full orthogonality from 
set theory (the formalism of things), because we want to be able to model and 
engineer observable phenomenon in a cleaner way. This should be the test of any 
serious proposal, in my view.

This requirement is why discussion on these matters often moves into category 
theory, after the fashion of Barwise and others. A spanning morphism can extend 
the notion of parameters to information space, but only when considered in the 
situation of that origin (meaning measurable space in the traditional sense). 

 2.Are there types or kinds of information that are not 
 encompassed by the general theory of information (GTI)?

I believe so. Some types clearly have laws that affect the world, which is how 
you scope the types covered by GTI. But just as particle physics finds it handy 
to have virtual particles and transcendent symmetries over them, so will we 
have information types that do not touch the world in an observable way; these 
will be required to support clean laws of behavior, yet to be convincingly 
proposed.

 3.Is it necessary/useful/reasonable to make a distinction 
 between information and an information carrier?

I suppose you will get universal agreement on this, at least here. But...

I was just at NIH at a rather introspective conference on structural biology, 
which assumes that the form of the carriers collectively forms the code of the 
system. They have dropped billions (quite literally) into metrics associated 
with these laws of information form but are ready to abandon the concept as a 
key technique. Clearly there is a system-level conveyance of information that 
carries an organizational imperative. If these can be said to be supported 
with the metaphoric virtual particle with the local interaction governed by the 
form of the carrier, then the answer is both yes and no.

I am intrigued by the notion introduced here recently that suggests 
intelligence as inhabiting this new, non-parametrizable space.

--Ted
_
Ted Goranson
tedgoran...@mac.com
http://www.sirius-beta.com




_
Ted Goranson
tedgoran...@mac.com
http://www.sirius-beta.com





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Re: [Fis] ON INFORMATION THEORY--Mark Burgin

2011-04-09 Thread Gavin Ritz
Ted


Thank you Mark. This promises to be interesting.

My view may best be introduced by stating that I believe we are in the
business of creating a new science that will depend on new abstractions.
These abstractions will extend from the notion of information as a first
class citizen, as opposed to our default, the particle. The latter has
qualities that can be measured and in fact the very idea of metrics is bound
to this notion of thingness.

GR: I just can't see the evidence that information has anything to do with
living organisms. 



Much of the dialog here works with the problem of naming what that it is. 

GR: They look more like logical operators, such as Imperative logic,
declarative logic and interrogative logic.



Having said that...

 1.Is it necessary/useful/reasonable to make a strict
distinction between information as a phenomenon and information measures as
quantitative or qualitative characteristics of information?

I am rather certain that there is a very real distinction, because of how we
define the problem. After all, we are not asking how do information and
information metrics fit within the confines of rather limited abstractions.
At least I am not. But the distinction does not allow for full orthogonality
from set theory (the formalism of things), because we want to be able to
model and engineer observable phenomenon in a cleaner way. This should be
the test of any serious proposal, in my view.

This requirement is why discussion on these matters often moves into
category theory, 

GR: It moves into Category theory and Topos my guess is because it's the
very basic framework of logic. 


 2.Are there types or kinds of information that are not
encompassed by the general theory of information (GTI)?

GR: for one no living organism uses Information theory constructs to
communicate with each other. ie direct languaging.

GR: Information theory is a construct used by our society to control
machines.


 3.Is it necessary/useful/reasonable to make a distinction
between information and an information carrier?

GR: Only if we can find direct scientific evidence that organisms use
information theory constructs to communicate directly. So far none has been
found.



Clearly there is a system-level conveyance of information 

GR: It's not so clear. If I can be pointed to one experiment that proves
there is such a thing as information theory constructs within living
organism I will be very excited.


that carries an organizational imperative. 


GR: More like DNA is an Imperative logical operator.


I am intrigued by the notion introduced here recently that suggests
intelligence as inhabiting this new, non-parametrizable space.

GR: oops.

Regards
Gavin







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