Helmut, List,

Measures of dispersion, entropy, indeterminacy, uncertainty, whatever we choose 
to call them are abstract mathematical thingies that can be defined in a wide 
variety of settings. Whether any piece of mathematics has utility in a given 
setting is one of those “proof of the pudding lies in the eating” (POTPLITE) 
sorts of issues.  In other words, useful is as useful does.

It's always worth exploring potential analogies between applications but there 
is no metaphysical necessity about a given measure having utility in a given 
domain nor any guarantee that it's usefulness will transfer to another domain.

Regards,

Jon

http://inquiryintoinquiry.com

> On Apr 4, 2015, at 3:55 PM, Helmut Raulien <h.raul...@gmx.de> wrote:
> 
> List,
> not having read Shannon and Weaver, my concept of "entropy" now relates only 
> to the physical world, that is realworld systems with their system space 
> being the real dimensions x, y, z, resp. longitude, broadness and altitude. 
> And I think, that Jons definition is correct. The other kind of systems are 
> virtual or mind systems, whose system spaces are virtual. Just like when you 
> imagine something, this thing does not exist in real space, but in an 
> imagined space. I assume, Peirceans call this space the "Phaneron". Between 
> these two kinds of systems, I think, events -and only events- can pass to and 
> fro. These passing events are called "information", I think. So, information 
> is the one thing (better: Kind of event) that can pass the border between 
> body and mind, or between real world and phaneron. While entropy is something 
> only applied to the real world. Is that so?
> Best,
> Helmut
>  
> Gesendet: Samstag, 04. April 2015 um 19:14 Uhr
> Von: "Jerry LR Chandler" <jerry_lr_chand...@me.com>
> An: "Peirce List" <peirce-l@list.iupui.edu>
> Cc: "Sungchul Ji" <s...@rci.rutgers.edu>
> Betreff: Re: [PEIRCE-L] What is information and how is it related to 
> 'entropy' ?
> List, Sung
>  
>  
> On Apr 4, 2015, at 12:22 AM, Sungchul Ji wrote:
>  
> (18) "The concept of entropy has had a long and interesting history, 
> beginning with its implicit introduction by Carnot to its explicit 
> formalization as a state function by Clausius to its statistical treatment by 
> Boltzmann and Gibbs to its application to communications theory by Shannon 
> (Shannon and Weaver 1949). The latter achievement has seemed to several 
> scientists a true generalization of the entropy conception, its freeing from 
> the particular disciplinary framework of thermodynamics for application to 
> probability distributions generally (Gatlin 1972; Yockey 1977). This mistaken 
> belief is a major impediment to productive communication between 
> thermodynamics and information theory, and we will examine it carefully." [3, 
> p. 177].
> In my initial response to your request, I mentioned books in the 1970's and 
> 1980's that had slipped from my memory.
>  
> Your response identities two of them.
>  
> The book by Gatlin was critical at the time.
> The book by Yockey, a personal friend, was important at the time but was 
> seriously flawed and is seldom referenced.
>  
> Another book from this period, by Wickens, was studied for many months and 
> remains worthy on mediation.
>  
> Parenthetically, I would add that the meaning of the term "entropy", once 
> only used in a strict mathematical sense that was supported by physical 
> measurements, has been decimated beyond any meaningful utility.   It is a 
> prime example of the loss of specific meaning of a scientific term when other 
> disciplines seek to extend it to their form/method of inquiry.
>  
> Further comment. In view of the vast perplexity of the unity of nature, 
> predictive science demands clear and unambiguous usage of language and 
> mathematics in order to comprehend and validate empirical evidence.  
> Technologists recognize the economic importance of this.  
>  
> BTW, in view of the maladroit usage of relational terminology, I recently 
> coined the phrase, motivated by the perplex sortal logic of chemistry, and in 
> a minor way by CSP's trichotomony, "economy of relations."  It will play a 
> substantial role in my book on Organic Mathematics.
>  
> Cheers
>  
> Jerry
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