Jon, excuse me for "John"🙏 ...
Honorary Professor ; PhD Mathematics ; PhD Philosophy
fr.wikipedia.org/wiki/Robert_Marty
*https://martyrobert.academia.edu/ <https://martyrobert.academia.edu/>*



Le dim. 15 aoĂ»t 2021 Ă  12:18, robert marty <[email protected]> a
écrit :

> Dear John,
>
> I think that the text "*Modeling in Humanities: the case of Peirce's
> Semiotics (Part A*)" that I just published answers your question. I
> maintain that retaining a definition of the sign that does not incorporate
> the internal determinations of the sign by the object and the interpreter
> by the sign does not allow us to classify signs. But you can still try to
> find a meaning to each of the 6 combinations of S, O, I by not using the
> interdependence of the categories, which translates into the
> phenomenological constraint according to which::* "It is evident that a
> Possible can determine nothing but a Possible; it is equally so that a
> Necessitant can be determined by nothing but a Necessitant.*" (EP2: 481).
> This constraint is the only one that allows us to control the combinatory
> explosion.
> ...
> Honorary Professor; Ph.D. Mathematics; Ph.D. Philosophy
> fr.wikipedia.org/wiki/Robert_Marty
> *https://martyrobert.academia.edu/ <https://martyrobert.academia.edu/>*
>
>
>
> Le sam. 14 aoĂ»t 2021 Ă  18:45, Jon Awbrey <[email protected]> a Ă©crit :
>
>> Cf: Semiotics, Semiosis, Sign Relations • Discussion 10
>>
>> https://inquiryintoinquiry.com/2021/08/14/semiotics-semiosis-sign-relations-discussion-10/
>>
>> Re: Semiotics, Semiosis, Sign Relations • Discussion 8
>>
>> https://inquiryintoinquiry.com/2021/08/13/semiotics-semiosis-sign-relations-discussion-8/
>>
>> Re: Category Theory
>>
>> https://categorytheory.zulipchat.com/#narrow/stream/233104-theory.3A-logic/topic/sign.20relations
>> ::: Morgan Rogers
>>
>> https://categorytheory.zulipchat.com/#narrow/stream/233104-theory.3A-logic/topic/sign.20relations/near/249456735
>>
>> <QUOTE MR:> Please clearly state at least one “distinctive quality of
>> sign relations”. </QUOTE>
>>
>> Dear Morgan,
>>
>> Sign relations are triadic relations.
>>
>> Can any triadic relation be a sign relation?
>>
>> I don’t know.  I have pursued the question myself whether any
>> triadic relation could be used somehow or other in a context
>> of communication, information, inquiry, learning, reasoning,
>> and so on where concepts of signs and their meanings are
>> commonly invoked — there’s the rub — it’s not about what
>> a relation is “intrinsically” or “ontologically” at all
>> but a question of “suitability for a particular purpose”
>> as they say in all the standard disclaimers.
>>
>> What Peirce has done is to propose a definition intended to capture an
>> intuitive, pre-theoretical, traditional concept of signs and their uses.
>> To put it on familiar ground, it’s like Turing’s proposal of his namesake
>> machine to capture the intuitive concept of computation.  That is not a
>> matter to be resolved by Ă  priori dictates but by trying out candidate
>> models in the intended applications.
>>
>> I gave you what I consider Peirce’s best definition of a “sign”
>> in relational terms and I pointed out where it needs filling out
>> to qualify as a proper mathematical definition, most pointedly in
>> the further definitions of “correspondence” and “determination”.
>>
>> That is the current state of the inquiry as it stands at this site …
>>
>> Regards,
>>
>> Jon
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>
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