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 <jerry_lr_chand...@me.com > 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 > > <jerry_lr_chand...@me.com> 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:girlprofes...@ekiga.net > > > > ----------------------------- > > PEIRCE-L subscribers: Click on "Reply List" or "Reply All" to REPLY ON > PEIRCE-L to this message. PEIRCE-L posts should go to > peirce-L@list.iupui.edu . To UNSUBSCRIBE, send a message not to PEIRCE-L > but to l...@list.iupui.edu with the line "UNSubscribe PEIRCE-L" in the > BODY of the message. More at http://www.cspeirce.com/peirce-l/peirce-l.htm > . > > > > > > > > > > > > ----------------------------- > PEIRCE-L subscribers: Click on "Reply List" or "Reply All" to REPLY ON > PEIRCE-L to this message. PEIRCE-L posts should go to > peirce-L@list.iupui.edu . To UNSUBSCRIBE, send a message not to PEIRCE-L > but to l...@list.iupui.edu with the line "UNSubscribe PEIRCE-L" in the > BODY of the message. More at http://www.cspeirce.com/peirce-l/peirce-l.htm > . > > > > > > -- 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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