Further to my comments on the a priori determination and the a posteriori
determination - these seem to me to acknowledge the two different roles of MIND
and EXPERIENCE.
The a priori determination process acknowledges that any entity - and I’d
include, as does Peirce, protoplasm’ - has a mind-determined or rational
interaction with the world. Or further..’an intelligence capable of learning by
experience’ 2.227. 1897. And as Peirce has always noted about habits - they
grow. An organism capable of learning [ even without a separate brain] can thus
adapt, can evolve in its cognitive interactions with its environment [ Objects]
and its functional use of them {interpretants].
Therefore Mind or quasi-Mind- is the first correlate…and picks up data from the
Object[s] with which it THEN is in an a posteriori communicative interaction.
Again - this First Correlate - as the First - has NOTHING to do with either
there being only one correlate as the Repesentamen-Sign, or its being in a
categorical mode of Firstness. It is often in a categorical mode of Secondness
or Thirdness. It is a reference to the role of Mind, as Robert has clearly
shown, ..’the a priori world of mathematics and the contingent world of
experience [ quote from Nathan Houser 1989, p21]. The world of mathematics is
a property or action of Mind/quasi-Mind.
Edwina
> On Jun 24, 2025, at 9:59 AM, Edwina Taborsky <[email protected]>
> wrote:
>
> Robert, list
>
> Thank you for your paper. I cannot comment on the use of AI - but am focused,
> specifically, on your outline of 2.3. Two Determinations in the mature sign.
> Now - this is, in my view, very important. TWO determinations.
>
> 1] There is, as you outline, the a priori set of triadic relations, where
> the First Correlate is the Representamen, the Second is the Object and the
> Third is the Interpretant. 2.241.; 2.242.
>
> So- the Order is: Sign-Representamen/Object/Interpretant. This seems to
> correlate with the categories, such that a correlate in Firstness can only
> determine other correlates in the same mode… A correlate in Thirdness can
> determine correlates in the same or ‘lesser’ modes. 2.235. This analysis is
> abstract rather than referring to actual ‘ens’.
>
> 2] Then, in 1905, Peirce added another role for the sign/representamen, an a
> posteriori analysis...as a ‘medium of communication’, and the order of
> determination is
> Object->Sign/Repesentamren-> Interpretant.
>
> And, as you point out, it is important as Peirce did, to distinguish between
> the a posteriori and a priori forms of knowledge.
> They do not contradict each other; they instead, refer to different aspects
> of the semiosic process - but- they work together.
>
> 3] I also note that , in my view, Peirce’s analysis of the ’simple, middling
> complexity and most complex nature of the three correlates [ 2.235-6-7]
> refers to their position in the a priori correlate order of determination.
> where
> - the Represetnamen, the first correlate,is the simplest, because it
> determines all three.
> - And the third correlate, the Interpretant, is the most complex “being a law
> if any one of the three is a law, and not being a mere possibility unless all
> three are of that nature ] 2.236]. Note: I point out that, the reference to
> any one of the three or all three refers to the three correlates, NOT three
> Interpretants]
>
> So far, in my reading, an excellent analysis- and I’m particularly
> appreciative of the outline of the two determinations..ie..a priori and a
> posteriori
>
> Edwina
>
>
>
>
>> On Jun 24, 2025, at 7:51 AM, Ulysses <[email protected]> wrote:
>>
>> Interesting work Marty.
>>
>> Can you explain what your method tells us that a simple combinatorial script
>> does not?
>>
>> For example if you create a simple python script like this, you can easily
>> derive the 10 classes from three trichotomies.
>>
>> # Script:
>> trichotomy = 1,2,3
>> i = 0
>> for a in trichotomy:
>> for b in trichotomy:
>> for c in trichotomy:
>> if a >= b >= c:
>> i+=1
>> print(i, ": ", a, b, c)
>>
>> # Output:
>> 1 : 1 1 1
>> 2 : 2 1 1
>> 3 : 2 2 1
>> 4 : 2 2 2
>> 5 : 3 1 1
>> 6 : 3 2 1
>> 7 : 3 2 2
>> 8 : 3 3 1
>> 9 : 3 3 2
>> 10 : 3 3 3
>>
>> Is your work aimed at giving motivation to how the three correlates can be
>> related to natural numbers, and therefore would obey this sort of
>> combinatorial ordering? Or are you saying that this combinatorial ordering
>> itself is not even necessary and the structure of the 10 classes emerges
>> from even simpler assumptions about Min(), Max() and Mid() / Any(), All(),
>> Some() ?
>>
>> Thank you,
>> Ulysses
>>
>>
>>
>> On Tue, 24 Jun 2025 at 12:51 pm, robert marty <[email protected]
>> <mailto:[email protected]>> wrote:
>>> List,
>>>
>>> In this part1 of my project, I propose an original contribution: a logical
>>> path a priori within triadic relations alone that leads to ten classes
>>> without any recourse to external or posterior notions, precisely as the
>>> Peirce's text asserts. A second innovation concerns the method used to
>>> spare the reader from tedious manual combinations, that is, using
>>> Artificial Intelligence.
>>>
>>> I will accept any comments or critical remarks, even the harshest ones, as
>>> a gift.
>>>
>>> https://www.academia.edu/130131910/Modeling_and_finalizing_Peirces_semiotics_with_AI
>>>
>>> Sincerely yours,
>>>
>>> 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/
>>>
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