Sungchul-Ji, What about information theories that belong to different categories, i.e. other than the category of sets, and which, equally have different Omega Structures in their corresponding Topos?
Best wishes, Alex On 7 February 2018 at 19:16, Sungchul Ji <s...@pharmacy.rutgers.edu> wrote: > Hi FISers, > > > On 10/8/2017, Terry wrote: > > > " So basically, I am advocating an effort to broaden our discussions and > recognize that the term information applies in diverse ways to many > different contexts. And because of this it is important to indicate the > framing, whether physical, formal, biological, phenomenological, > linguistic, etc. > . . . . . . The classic syntax-semantics-pragmatics distinction introduced > by Charles Morris has often been cited in this respect, though it too is in > my opinion too limited to the linguistic paradigm, and may be misleading > when applied more broadly. I have suggested a parallel, less linguistic > (and nested in Stan's subsumption sense) way of making the division: i.e. > into intrinsic, referential, and normative analyses/properties of > information." > > I agree with Terry's concern about the often overused linguistic metaphor > in defining "information". Although the linguistic metaphor has its > limitations (as all metaphors do), it nevertheless offers a unique > advantage as well, for example, its well-established categories of > functions (see the last column in *Table 1*.) > > The main purpose of this post is to suggest that all the varied theories > of information discussed on this list may be viewed as belonging to the > same category of ITR (Irreducible Triadic Relation) diagrammatically > represented as the 3-node closed network in the first column of *Table 1*. > > *Table 1.* The postulated universality of ITR (Irreducible Triadic > Relation) as manifested in information theory, semiotics, cell language > theory, and linguistics. > > *Category Theory* > > > * f g* > > > > > * A -----> B ------> C | ^ > | | |______________| ** h* > > > > *ITR (Irreducible Triadic Relation**)* > > *Deacon’s theory of information* > > *Shannon’s* > > *Theory of* > > *information* > > *Peirce’s theory of signs* > > *Cell language theory* > > > *Human language (Function)* > > A > > *Intrinsic *information > > Source > > Object > > Nucleotides*/ > Amion acids > > Letters > (Building blocks) > > B > > *Referential *information > > Message > > Sign > > Proteins > > Words > (Denotation) > > C > > *Normative *information > > Receiver > > Interpretant > > Metabolomes > (Totality of cell metabolism) > > Systems of words > (Decision making & Reasoning) > > f > > ? > > Encoding > > Sign production > > Physical laws > > Second articulation > > g > > ? > > Decoding > > Sign interpretation > > Evoutionary selection > > First and Third articulation > > h > > ? > > Information flow > > Information flow > > Inheritance > > Grounding/ > > Habit > *Scale* *Micro-Macro?* *Macro* *Macro* *Micro* *Macro* > > *There may be more than one genetic alphabet of 4 nucleotides. According > to the "multiple genetic alphabet hypothesis', there are n genetic > alphabets, each consisting of 4^n letters, each of which in turn > consisting of n nucleotides. In this view, the classical genetic > alphabet is just one example of the n alphabets, i.e., the one with n = 1. > When n = 3, for example, we have the so-called 3rd-order genetic alphabet > with 4^3 = 64 letters each consisting of 3 nucleotides, resulting in the > familiar codon table. Thus, the 64 genetic codons are not words as widely > thought (including myself until recently) but letters! It then follows > that proteins are words and metabolic pathways are sentences. Finally, > the transient network of metbolic pathways (referred to as > "hyperstructures" by V. Norris in 1999 and as "hypermetabolic pathways" by > me more recently) correspond to texts essential to represent > arguement/reasoning/computing. What is most exciting is the recent > discovery in my lab at Rutgers that the so-called "Planck-Shannon plots" of > mRNA levels in living cells can identify function-dependent "hypermetabolic > pathways" underlying breast cancer before and after drug > treatment (manuscript under review). > > Any comments, questions, or suggestions would be welcome. > > Sung > > > _______________________________________________ > Fis mailing list > Fis@listas.unizar.es > http://listas.unizar.es/cgi-bin/mailman/listinfo/fis > > -- Alex Hankey M.A. (Cantab.) PhD (M.I.T.) Distinguished Professor of Yoga and Physical Science, SVYASA, Eknath Bhavan, 19 Gavipuram Circle Bangalore 560019, Karnataka, India Mobile (Intn'l): +44 7710 534195 Mobile (India) +91 900 800 8789 ____________________________________________________________ 2015 JPBMB Special Issue on Integral Biomathics: Life Sciences, Mathematics and Phenomenological Philosophy <http://www.sciencedirect.com/science/journal/00796107/119/3>
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