Sung:

Yes, you are correct.

An outrageous error due my utter carelessness in not identifying the system 
under consideration.

Thanks.

Cheers

Jerry


On Apr 8, 2015, at 12:27 PM, Sungchul Ji wrote:

> Jerry,
> 
> You wrote:
> 
> "An essence of thermodynamic's second law is that entropy is a monotonic 
> decreasing function."
> 
> I presume you meant to say "a monotonic increasing function" ?
> 
> Sung
> 
> On Wed, Apr 8, 2015 at 11:46 AM, Jerry LR Chandler <[email protected]> 
> wrote:
> Dear Prof. Mani:
> 
> Thank you for your informed response.
> 
> One of the basic questions that remains open is the relation between 
> thermodynamics, entropy and life.
> 
> The essential mathematical basis of this openness is, in my opinion, the role 
> of cycles (of any finite size.)
> 
> An essence of thermodynamic's second law is that entropy is a monotonic 
> decreasing function.
> 
> Given your extensive expertise in this area of copulative relations among 
> mathematic descriptions of entropies, do all of these varieties (not 
> mathematical varieties) of entropy require monotonic decreasing functions or 
> not?
> 
> (I am aware of the fact that one can introduce periodic forcing functions 
> such that physical cycles can be introduced into thermodynamic systems. This 
> question is intended to exclude periodic forcing functions.)
> 
> I am puzzled by the meaning of your statement:
> 
> >
> > An example of abstraction of thermodynamic entropy is in the papers of
> > Elliott H. Lieb and Jakob Yngvason
> >
> 
> Thermodynamic entropy is an abstract physical law as well as (an often 
> irrelevant, for example,  biological) mathematical abstraction about heat 
> flow.
> 
> What is the third type of abstraction that you reference?
> 
> BTW, I presume that you are aware of A. Ehresmann's work on the relation 
> between category theory and entropy.
> 
> 
> Cheers
> 
> Jerry
> 
> 
> 
> 
> 
> On Apr 8, 2015, at 2:58 AM, A. Mani wrote:
> 
> > Prof Jerry, list
> >
> > On Tue, Apr 7, 2015 at 4:44 AM, Jerry LR Chandler
> > <[email protected]> wrote:
> >
> >>
> >> My question to you is:
> >>
> >> Is it possible to use a crisp form of hybrid logic to separate your 
> >> meanings of entropy from thermodynamic entropy?
> >
> > There are over 150 types of information related entropies (many having
> > variations of a theme flavor).
> >
> > In principle it should be possible to form hybrid logic or logics with
> > correspondences if we abstract thermodynamic entropy in the
> > statistical/mathematical way. From a practical perspective (for
> > entropy related to rough or fuzzy sets) a correspondence result may
> > not seen as significant because the information perspective would
> > already be an approximate (and not exact) representation of a
> > practical context.
> >
> > The results can be useful for visualization definitely.
> >
> > An example of abstraction of thermodynamic entropy is in the papers of
> > Elliott H. Lieb and Jakob Yngvason
> >
> >
> > From the perspective of learning, the comparison would be more significant
> >
> >
> > Best
> >
> > A. Mani
> >
> >
> >
> > Prof(Miss) A. Mani
> > CU, ASL, AMS, ISRS, CLC, CMS
> > HomePage: http://www.logicamani.in
> > Blog: http://logicamani.blogspot.in/
> > http://about.me/logicamani
> > sip:[email protected]
> >
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> 
> 
> 
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> 
> 
> 
> 
> 
> 
> 
> -- 
> Sungchul Ji, Ph.D.
> 
> Associate Professor of Pharmacology and Toxicology
> Department of Pharmacology and Toxicology
> Ernest Mario School of Pharmacy
> Rutgers University
> Piscataway, N.J. 08855
> 732-445-4701
> 
> www.conformon.net
> 
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