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 . > > > >
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