Robert - I think that this lack of interest shows that there is an expiration 
date or rather closure mechanism, of interest in what others are writing and 
saying. So often- we simply 
Talk’ our own theories and ideas - and pay scant attention to others who might 
be exploring the same areas - but even more succinctly .  We might even find 
fault with these others...

This doesn’t say much in favour of the ‘community of scholars’…

Edwina

> On Sep 29, 2025, at 11:08 AM, robert marty <[email protected]> wrote:
> 
> Jack, List
> I think you are referring to this book by Gianluca Caterina and Rocco Gangle:
> 
>  <image.png>
> 
> I may have come across it on Academia, and when I saw that its authors were 
> proposing a formalization of Peirce's Theory of Signs in section 2 in 2016, 
> using category theory: 
> 2 Iconicity in Peirce’s Semiotics . . . . . . . . . . . . . . . . . . . . . . 
> . . . . . . . . . 27
> 2.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 
> . . . . . . . . . . . . 27
> 2.2 Peirce’s Theory of Signs . . . . . . . . . . . . . . . . . . . . . . . . 
> . . . . . . . . 28
> 2.2.1 Peirce’s General SOI Schema . . . . . . . . . . . . . . . . . . . . . . 
> . 28
> 2.2.2 Three Trichotomies and Ten Classes of Signs. . . . . . . . . . . 30
> 
> I wrote to one of the authors that I had published this 40 years earlier and 
> that I had taken it further by exploring the relations of affinity between 
> classes of signs up to the lattice, which they themselves had not done. So 
> there was a gap in their bibliography. 
>  In response, this author thanked me for my interest, kindly sent me a PDF of 
> the book, and promised to read my work, while pointing out that their book, 
> published in 2016, records recent progress in the application of category 
> theory to Peirce's semiotics and diagrammatic logic. He then offered to send 
> me more recent articles.. 
> Since then, nothing. Could this remark be a sign that there is an expiration 
> date for scientific work that we are not aware of? 
> I aspire even more than you do to see Peirce mathematically accepted. It is 
> not very serious to proclaim everywhere that Peirce is a polymath and to 
> underestimate a science that he places, in all his classifications, in first 
> position in the Sciences of Discovery in the Well of Truth;  and which he 
> says is a model for his conceptions of "Exact Thinking" and "Exact 
> Philosophy" (see my chapter 1).
> 
> Best regards,
> Robert Marty
> Honorary Professor ; PhD Mathematics ; PhD Philosophy 
> fr.wikipedia.org/wiki/Robert_Marty 
> <https://fr.wikipedia.org/wiki/Robert_Marty>
> https://martyrobert.academia.edu/
> 
> 
> 
> Le sam. 27 sept. 2025 à 21:26, Jack Cody <[email protected] 
> <mailto:[email protected]>> a écrit :
>> Edwina, Jon, List
>> 
>> What I'd be interested in seeing, given the abundance of technology 
>> available, is a kind of proto-algorithm which is formed around the basics of 
>> R.M's work. That is, it wouldn't be overly difficult to produce a code 
>> whereby dynamic (general here, not the Peircean usage) transitions between 
>> different modalities occur within a non-arbitrary way. I believe this goes 
>> to what Edwina and Jon, in an earlier post, each are saying in different 
>> ways.
>> 
>> I remember a book by Rocco and Gangle, if I'm not mistaken which did great 
>> work in this area. It was really a great book —they've focused a lot on 
>> Peirce's work and anyone here can go on Academia.. and look/request various 
>> copies. I did so some years back.
>> 
>> But to take that forward into a kind of algorithm which would, 
>> mathematically, be precise so that we could, all, understand where the 
>> scientific advantage of the necessary semeiotic structur(ing) lies. This is 
>> a broad comment, but it would have to do with different trichotomies as Jon 
>> said, and also basic relationships as that between a Lizard and Fly, as per 
>> Edwina's comments.
>> 
>> I suppose I yearn now for the mathematically agreed upon Peirce to be born — 
>> it exists, and I, though it's not my strongest area within Peirce, can see 
>> it clearly in R.M's work.
>> 
>> So, yes, very interested in said work and comments relating to what R.M has 
>> done here.
>> 
>> Best
>> Jack
>> 
>> From: Edwina Taborsky <[email protected] 
>> <mailto:[email protected]>>
>> Sent: Saturday, September 27, 2025 6:33 PM
>> To: Jack Cody <[email protected] <mailto:[email protected]>>
>> Cc: [email protected] <mailto:[email protected]> <[email protected] 
>> <mailto:[email protected]>>; Edwina Taborsky <[email protected] 
>> <mailto:[email protected]>>
>> Subject: Re: [PEIRCE-L] IThe Semiosic Process [was ndexicality and 
>> Speculative Grammar (was Facts, Opinion, Perspective, and Inquiry)
>>  
>> Jack, List
>> 
>> I continue with my examination of the semiosic process – which is never 
>> linear but always dialogic and complex in that it gains and loses and 
>> transforms data to arrive at its conclusions.. 
>> 
>> My example is the lizard-and-the-fly. Both are semiosic entities, meaning 
>> that they have the capacity to interact with the world in a semiosic triadic 
>> process. 
>> 
>>  1] The lizard and the fly are both ‘external objects’ in the world – and 
>> then- once they interact, each becomes part of the semiosic dialogue and 
>> thus, becomes a DO [Dynamic Object] of the other. Using Marty’s lattice [and 
>> I may be wrong]  – at the moment of their interaction, each is semiotically 
>> operating as a qualisign [111]..sensing the sensual actuality of each. And 
>> this sets up an ‘accretive path’ where the semiosic information is 
>> ‘enlarged’ and clarified’ in a number of steps.  Within the process ‘at each 
>> step, an element of the triadic sign ‘gains’ in category’ or knowledge and 
>> interactive capacity.. 
>> 
>>  
>> If we just take the lizard – it senses, as a qualisign  [111 ]the sensual 
>> actuality of an ’other’ in its local environment. This DO data becomes the 
>> IO [Immediate Object] by which I mean that it loses ambiguity and becomes 
>> focused [112]. Noise is rejected  [ ie, irrelevant data,  ie  from the leaf 
>> the insect is sitting on] and becomes an Iconic Legisign, or typologically 
>> specific as an insect [113] and  then, via the input knowledge from the 
>> Representamen, even more specific as a RIL rhematic indexical Legisign [ 
>> 123] – which means – ‘this particular entity  is, for me,  an edible 
>> insect’…..which also means that as the Immediate Interpretant, which focuses 
>> the Will, that an action can be taken as the Dynamic. Interpretant – to – 
>> eat the insect. 
>> 
>>  
>> 2] As for the Insect – it too senses the lizard as a qualisign ..and goes 
>> through the same accretion of information, to conclude , probably quite 
>> early  at the Iconic Legisign stage [113] that ‘this is a predator..and its 
>> DI [Dynamic interpretant is..to fly very quickly away.
>> 
>> 
>> 
>> Edwina
>> 
>>  
>>  
>> 
>>> On Sep 26, 2025, at 3:12 PM, Edwina Taborsky <[email protected] 
>>> <mailto:[email protected]>> wrote:
>>> 
>>> Jack, List
>>> 
>>> I think I’m allowed a second post on a day..still not sure…but I’d like to 
>>> applaud Jack’s post here - Far more important than the ‘ad nauseam 
>>> discussions over the precision of terms - is to explore, to understand what 
>>> exactly is going on in this semiotic process!  
>>> 
>>> Semiosis is not just some isolate rhetoric - getting dangerously close to 
>>> the medieval debates of angels-on-a-pin. Semiosis is a scientific 
>>> examination of actual reality - the phaneron…and what and how 
>>> matter/energy/information is actually formed, is transformed, within 
>>> precise..not terms..but precise triadic morphological processes! 
>>> 
>>> How does matter/energy/information move and become morphologically specific 
>>> within the interaction of a lizard..which is a semiotic organism…with 
>>> another semiotic organism, eg, an insect…right from the first interaction 
>>> of the two [ both as Dynamic Objects to each other] and..as Dynamic 
>>> Interpretants [ of each other! ]. What energy/information must be added, 
>>> must be lost..will be picked up by some other semiotic organism…and..What 
>>> semiotic organization [ via the Representamen process] is working in this 
>>> interaction? And..as Robert Marty points out in his lattice - how many 
>>> phases of these triads takes place..to move from the first interactions [ 
>>> DO] to the Dynamic Interpretants? 
>>> 
>>> You can, of course, do the same with human verbal interaction - { I just 
>>> happen to find the non-verbal semiosis more interesting]…what happens 
>>> within a dialogue interaction of two Dynamic Objects, persons A and B and 
>>> their rhetoric…..How is the information processed within their two 
>>> different Representamen knowledge bases..to produce Dynamic Interpretants 
>>> that might have no relationship to the original Dynamic Objects? 
>>> 
>>> It’s the complex energy/informationprocess, as ‘handled’ by the movements 
>>> within the semiosic lattice - that, in my view, provides the most 
>>> productive analysis of the phaneron.
>>> 
>>> Edwina
>>> 
>>> 
>>> 
>>>> On Sep 26, 2025, at 2:32 PM, Jack Cody <[email protected] 
>>>> <mailto:[email protected]>> wrote:
>>>> 
>>>> Edwina, List,
>>>> 
>>>> I agree entirely with what Edwina has said regarding R. Marty's work. 
>>>> Peirce lives or dies with respect to the kind of work R. Marty has done 
>>>> here where the structuralism, necessarily deduced from Peirce's writings, 
>>>> is given mathematically and precisely (in numerical structure). Far more 
>>>> valuable, in my opinion, than arguments ad nauseum over the precision of 
>>>> certain terms. Indeed, following the work done one could switch out all of 
>>>> Peirce's terms and retain his basic structure —which is surely the 
>>>> "scientific" point. (arbitary state grammars, etc, with respect to a 
>>>> structuralism which Peirce understood to be non-arbtirary).
>>>> 
>>>> Best
>>>> Jack
>>>>  
>>>> From: [email protected] <mailto:[email protected]> 
>>>> <[email protected] <mailto:[email protected]>> on 
>>>> behalf of Edwina Taborsky <[email protected] 
>>>> <mailto:[email protected]>>
>>>> Sent: Friday, September 26, 2025 2:41 PM
>>>> To: [email protected] <mailto:[email protected]> 
>>>> <[email protected] <mailto:[email protected]>>
>>>> Cc: robert marty <[email protected] 
>>>> <mailto:[email protected]>>; edwina Taborsky 
>>>> <[email protected] <mailto:[email protected]>>
>>>> Subject: Re: [PEIRCE-L] Indexicality and Speculative Grammar (was Facts, 
>>>> Opinion, Perspective, and Inquiry)
>>>>  
>>>> List
>>>> 
>>>> Robert Marty provided us with a lattice of the ten classes of triadic 
>>>> signs- and referred to them as showing ‘a phenomenological principle of 
>>>> embodiments’.
>>>> 
>>>> I think that should be the focus - not the terms that Peirce used - but 
>>>> the actuality of semiosis. What does semiosis do? It is an organizational 
>>>> process that ‘embodies’ energy/matter/information into one form, and then, 
>>>> enables the transformation of this form with its energy/matter/information 
>>>> content…into another morphological form. This suggests that semiosis 
>>>> organizes energy/matter/information - and both ADDS to one 
>>>> embodiment..and/or REMOVES from an embodiment. And also- reorganizes try 
>>>> content...
>>>> 
>>>> Robert has shown this in his lattice, where. For example, a Dicent 
>>>> Indexical Legisign [322] a street cry] embodies Rheumatic Indexical 
>>>> Legisigns [321] a demonstrative pronoun…Notice that the Dicent has picked 
>>>> up information, or added information, to that Rhematic triad. It’s moved 
>>>> from an interpretant in Firstness to one in Secondness - it’s more 
>>>> specific and focused. Now- how did it do this? Where did this extra 
>>>> information come from? Is it the Legisign process that is transforming 
>>>> this morphology?
>>>> 
>>>> Edwina
>>> 
>> 
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